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623 lines
85 KiB
HTML
623 lines
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HTML
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<h1 align="center">Algebra 2 Curriculum</h1><p>Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. <a href="index-curriculum.html">Curriculum Home</a></p><div class="center80"><p align="center"><i>Important: this is a guide only.<br />Check with your local education authority to find out their requirements.</i><br/></p></div><div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Numbers</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Perform arithmetic operations (addition, subtraction, multiplication, division) with expressions containing irrational numbers in radical form</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../irrational-numbers.html" target="MathIsFun">Irrational Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../surds.html" target="MathIsFun">Surds</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../square-root.html" target="MathIsFun">Squares and Square Roots</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/irrational-number.html" target="MathIsFun">Irrational Number Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/nth-root.html" target="MathIsFun">nth Roots</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/irrational-finding.html" target="MathIsFun">Is It Irrational?</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/square-root.html" target="MathIsFun">Squares and Square Roots in Algebra</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Perform arithmetic operations on irrational expressions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../square-root.html" target="MathIsFun">Squares and Square Roots</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/nth-root.html" target="MathIsFun">nth Roots</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../surds.html" target="MathIsFun">Surds</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../irrational-numbers.html" target="MathIsFun">Irrational Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/square-root.html" target="MathIsFun">Squares and Square Roots in Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/irrational-finding.html" target="MathIsFun">Is It Irrational?</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Rationalize a denominator containing a radical expression</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rationalize-denominator.html" target="MathIsFun">Rationalize the Denominator</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/square-root.html" target="MathIsFun">Squares and Square Roots in Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/conjugate.html" target="MathIsFun">Conjugate</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand the meaning of algebraic numbers and transcendental numbers.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/e-eulers-number.html" target="MathIsFun">e - Euler's number</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/pi.html" target="MathIsFun">Pi</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/transcendental-numbers.html" target="MathIsFun">Transcendental Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/algebraic-numbers.html" target="MathIsFun">Algebraic Number</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../irrational-numbers.html" target="MathIsFun">Irrational Numbers</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate advanced concepts of prime numbers and factors, including: Coprimes, Mersenne primes, Perfect numbers, Abundant numbers, Deficient numbers, Amicable numbers, Euclid's proof that the set of prime numbers is endless, and Goldbach's conjecture.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../prime-composite-number.html" target="MathIsFun">Prime and Composite Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/prime-numbers-advanced.html" target="MathIsFun">Prime Numbers - Advanced</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate numbers that are Pythagorean triples.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../pythagoras.html" target="MathIsFun">Pythagoras Theorem</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/pythagorean-triples.html" target="MathIsFun">Pythagorean Triples - Advanced</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../pythagorean_triples.html" target="MathIsFun">Pythagorean Triples</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Be familiar with well-known trancendental numbers, such as e, pi and the Liouville Constant.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/transcendental-numbers.html" target="MathIsFun">Transcendental Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/algebraic-numbers.html" target="MathIsFun">Algebraic Number</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/e-eulers-number.html" target="MathIsFun">e - Euler's number</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/pi.html" target="MathIsFun">Pi</a></div>
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<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Complex Numbers</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write square roots of negative numbers in terms of i, and solve simple equations whose solutions are powers of i</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-squaring-negative.html" target="MathIsFun">Exponents of Negative Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/real-numbers.html" target="MathIsFun">Real Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/imaginary-numbers.html" target="MathIsFun">Imaginary Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/imaginary-numbers.html" target="MathIsFun">Definition of Imaginary Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/i-unit-imaginary-number-.html" target="MathIsFun">i</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/number-types.html" target="MathIsFun">Common Number Sets</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/evolution-of-numbers.html" target="MathIsFun">The Evolution of Numbers</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Simplify powers of i</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/imaginary-numbers.html" target="MathIsFun">Imaginary Numbers</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the conjugate of a complex number</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/conjugate.html" target="MathIsFun">Conjugate</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/imaginary-numbers.html" target="MathIsFun">Imaginary Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/complex-numbers.html" target="MathIsFun">Complex Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/complex-number.html" target="MathIsFun">Definition of Complex Number</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Perform arithmetic operations on complex numbers and write the answer in the form "a+bi"
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Note: This includes simplifying expressions with complex denominators.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/imaginary-numbers.html" target="MathIsFun">Imaginary Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/complex-number-calculator.html" target="MathIsFun">Complex Number Calculator</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/complex-numbers.html" target="MathIsFun">Complex Numbers</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Represent a complex number on the Argand diagram</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/complex-numbers.html" target="MathIsFun">Complex Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors.html" target="MathIsFun">Vectors</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../polar-cartesian-coordinates.html" target="MathIsFun">Polar and Cartesian Coordinates</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/complex-plane.html" target="MathIsFun">Complex Plane</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know how to calculate the modulus and argument of a complex number, and express a complex number in polar form</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/complex-numbers.html" target="MathIsFun">Complex Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/complex-number-multiply.html" target="MathIsFun">Complex Number Multiplication</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/complex-plane.html" target="MathIsFun">Complex Plane</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../measure/speed-velocity.html" target="MathIsFun">Speed and Velocity</a></div>
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<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Measurement</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Be familiar with the metric (SI) units used in Mathematics and Physics.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../measure/metric-system-introduction.html" target="MathIsFun">Measuring Metrically with Maggie</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../measure/metric-units-details.html" target="MathIsFun">Common Metric Units</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../measure/metric-system.html" target="MathIsFun">Metric System of Measurement</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../unit-conversion-tool.html" target="MathIsFun">Unit Converter</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../metric-numbers.html" target="MathIsFun">Metric Numbers</a></div>
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<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Algebra</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve absolute value equations and inequalities involving linear expressions in one variable</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/absolute-value.html" target="MathIsFun">Absolute Value Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/absolute-value.html" target="MathIsFun">Absolute Value</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/absolute-value-solving.html" target="MathIsFun">Absolute Value in Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/intervals.html" target="MathIsFun">Intervals</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Simplify radical expressions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/radical.html" target="MathIsFun">Radical Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/square-root.html" target="MathIsFun">Squares and Square Roots in Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/nth-root.html" target="MathIsFun">nth Roots</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Perform addition, subtraction, multiplication, and division of radical expressions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-fractional.html" target="MathIsFun">Fractional Exponents</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/square-root.html" target="MathIsFun">Squares and Square Roots in Algebra</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Rationalize denominators involving algebraic radical expressions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rationalize-denominator.html" target="MathIsFun">Rationalize the Denominator</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/square-root.html" target="MathIsFun">Squares and Square Roots in Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/conjugate.html" target="MathIsFun">Conjugate</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Perform arithmetic operations on rational expressions and rename to lowest terms</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rational-expression.html" target="MathIsFun">Rational Expressions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rationalize-denominator.html" target="MathIsFun">Rationalize the Denominator</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rational-expression-operations.html" target="MathIsFun">Using Rational Expressions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/fractions-algebra.html" target="MathIsFun">Fractions in Algebra</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Simplify complex fractional expressions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rational-expression-operations.html" target="MathIsFun">Using Rational Expressions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rational-expression.html" target="MathIsFun">Rational Expressions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/fractions-algebra.html" target="MathIsFun">Fractions in Algebra</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve radical equations</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/radical-equations-solving.html" target="MathIsFun">Solving Radical Equations</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve rational equations and inequalities</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rational-expression.html" target="MathIsFun">Rational Expressions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rational-expression-operations.html" target="MathIsFun">Using Rational Expressions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/equations-solving.html" target="MathIsFun">Solving Equations</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/inequality-rational-solving.html" target="MathIsFun">Solving Rational Inequalities</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use direct and inverse variation to solve for unknown values</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/proportions.html" target="MathIsFun">Proportions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/directly-inversely-proportional.html" target="MathIsFun">Directly Proportional and Inversely Proportional</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand what is meant by the terms and the degree of a polynomial and the degree of a rational expression.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/degree-expression.html" target="MathIsFun">Degree</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-general-form.html" target="MathIsFun">General Form of a Polynomial</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials.html" target="MathIsFun">Polynomials</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand how mathematical modelling can be used to "model", or represent, how the real world works.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/mathematical-models.html" target="MathIsFun">Mathematical Models</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/soup-can.html" target="MathIsFun">Activity: Soup Can</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/mathematical-models-2.html" target="MathIsFun">Mathematical Models 2</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know how to decompose a rational expression into partial fractions.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/partial-fractions.html" target="MathIsFun">Partial Fractions</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine whether a given value is a solution to a given radical equation in one variable.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/radical-equations-solving.html" target="MathIsFun">Solving Radical Equations</a></div>
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<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Exponents</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Analyze and solve verbal problems that involve exponential growth and decay</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponential-growth.html" target="MathIsFun">Exponential Growth and Decay</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Rewrite algebraic expressions with fractional exponents as radical expressions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-fractional.html" target="MathIsFun">Fractional Exponents</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-laws.html" target="MathIsFun">Laws of Exponents</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/nth-root.html" target="MathIsFun">nth Roots</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/square-root.html" target="MathIsFun">Squares and Square Roots in Algebra</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Rewrite algebraic expressions in radical form as expressions with fractional exponents</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-fractional.html" target="MathIsFun">Fractional Exponents</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-laws.html" target="MathIsFun">Laws of Exponents</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/square-root.html" target="MathIsFun">Squares and Square Roots in Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/nth-root.html" target="MathIsFun">nth Roots</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Evaluate exponential expressions, including those with base e </div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-squaring-negative.html" target="MathIsFun">Exponents of Negative Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-fractional.html" target="MathIsFun">Fractional Exponents</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/e-eulers-number.html" target="MathIsFun">e - Euler's number</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-laws.html" target="MathIsFun">Laws of Exponents</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve exponential equations with or without common bases </div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-exponential.html" target="MathIsFun">Exponential Function Reference</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-logarithms.html" target="MathIsFun">Working with Exponents and Logarithms</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Graph exponential functions of the form y = b<sup>x</sup> for positive values of b, including b = e</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/function-grapher.html" target="MathIsFun">Function Grapher and Calculator</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-exponential.html" target="MathIsFun">Exponential Function Reference</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/e-eulers-number.html" target="MathIsFun">e - Euler's number</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve an application which results in an exponential function</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponential-growth.html" target="MathIsFun">Exponential Growth and Decay</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../money/compound-interest.html" target="MathIsFun">Compound Interest</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the rules of exponents to simplify expressions involving negative and/or fractional exponents</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-fractional.html" target="MathIsFun">Fractional Exponents</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-laws.html" target="MathIsFun">Laws of Exponents</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/negative-exponents.html" target="MathIsFun">Negative Exponents</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/variables-exponents-multiply.html" target="MathIsFun">Variables with Exponents - How to Multiply and Divide them</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../exponent.html" target="MathIsFun">Exponents</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/nth-root.html" target="MathIsFun">nth Roots</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-using.html" target="MathIsFun">Using Exponents in Algebra</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Rewrite algebraic expressions that contain negative exponents using only positive exponents</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/negative-exponents.html" target="MathIsFun">Negative Exponents</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../exponent.html" target="MathIsFun">Exponents</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-laws.html" target="MathIsFun">Laws of Exponents</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/reciprocal.html" target="MathIsFun">Reciprocal In Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-using.html" target="MathIsFun">Using Exponents in Algebra</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Evaluate numerical expressions with negative and/or fractional exponents, without the aid of a calculator (when the answers are rational numbers)</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-fractional.html" target="MathIsFun">Fractional Exponents</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponent-laws.html" target="MathIsFun">Laws of Exponents</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/negative-exponents.html" target="MathIsFun">Negative Exponents</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../exponent.html" target="MathIsFun">Exponents</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/nth-root.html" target="MathIsFun">nth Roots</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-using.html" target="MathIsFun">Using Exponents in Algebra</a></div>
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|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Inequalities</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve quadratic inequalities in one and two variables, algebraically and graphically (includes higher degree - graphically only).</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/inequality-solving.html" target="MathIsFun">Solving Inequalities</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/intervals.html" target="MathIsFun">Intervals</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/inequality-quadratic-solving.html" target="MathIsFun">Solving Quadratic Inequalities</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/inequality-grapher.html" target="MathIsFun">Inequality Grapher</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/graphing-linear-inequalities.html" target="MathIsFun">Graphing Linear Inequalities</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know open and closed interval notation and how they relate to points on the number line and the solution of inequalities.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/inequality-quadratic-solving.html" target="MathIsFun">Solving Quadratic Inequalities</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/intervals.html" target="MathIsFun">Intervals</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/absolute-value-solving.html" target="MathIsFun">Absolute Value in Algebra</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/inequality-rational-solving.html" target="MathIsFun">Solving Rational Inequalities</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the properties of inequalities, including the Transitive Property, the Reversal Property, and the Law of Trichotomy.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/inequality-properties.html" target="MathIsFun">Properties of Inequalities</a></div>
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|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Linear Equations</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve systems of three linear equations in three variables algebraically, using the substitution method or the elimination method.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/systems-linear-equations.html" target="MathIsFun">Systems of Linear Equations</a></div>
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|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Quadratic Equations</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use the discriminant to determine the nature of the roots of a quadratic equation</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation.html" target="MathIsFun">Quadratic Equations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/fundamental-theorem-algebra.html" target="MathIsFun">Fundamental Theorem of Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadratic-equation-solver.html" target="MathIsFun">Quadratic Equation Solver</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the sum and product of the roots of a quadratic equation by examining its coefficients.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-sums-products-roots.html" target="MathIsFun">Polynomials: Sums and Products of Roots</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the quadratic equation, given the sum and product of its roots</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-sums-products-roots.html" target="MathIsFun">Polynomials: Sums and Products of Roots</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply the technique of completing the square</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/completing-square.html" target="MathIsFun">Completing the Square</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation-derivation.html" target="MathIsFun">Derivation of Quadratic Formula</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve quadratic equations, using the quadratic formula</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation-derivation.html" target="MathIsFun">Derivation of Quadratic Formula</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation.html" target="MathIsFun">Quadratic Equations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadratic-equation-solver.html" target="MathIsFun">Quadratic Equation Solver</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation-graph.html" target="MathIsFun">Explore the Quadratic Equation</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve systems of equations involving one linear equation and one quadratic equation algebraically
|
|
Note: This includes rational equations that result in linear equations with extraneous roots.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/systems-linear-quadratic-equations.html" target="MathIsFun">Systems of Linear and Quadratic Equations</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve systems of equations involving one linear equation and one quadratic equation graphically</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/function-grapher.html" target="MathIsFun">Function Grapher and Calculator</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/grapher-equation.html" target="MathIsFun">Equation Grapher</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/systems-linear-quadratic-equations.html" target="MathIsFun">Systems of Linear and Quadratic Equations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/systems-linear-quadratic-graphical.html" target="MathIsFun">Systems of Linear and Quadratic Equations</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve quadratic equations by factoring</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadratic-equation-solver.html" target="MathIsFun">Quadratic Equation Solver</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation.html" target="MathIsFun">Quadratic Equations</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/factoring-quadratics.html" target="MathIsFun">Factoring Quadratics</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply quadratic equations to examples from the real world</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation-real-world.html" target="MathIsFun">Real World Examples of Quadratic Equations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadratic-equation-solver.html" target="MathIsFun">Quadratic Equation Solver</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/factoring-quadratics.html" target="MathIsFun">Factoring Quadratics</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation.html" target="MathIsFun">Quadratic Equations</a></div>
|
|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Logarithms</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Evaluate logarithmic expressions in any base</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/logarithms.html" target="MathIsFun">Introduction to Logarithms</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-logarithms.html" target="MathIsFun">Working with Exponents and Logarithms</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/logarithms-decimals.html" target="MathIsFun">Logarithms Can Have Decimals</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the properties of logarithms to rewrite logarithmic expressions in equivalent forms</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/logarithms.html" target="MathIsFun">Introduction to Logarithms</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-logarithms.html" target="MathIsFun">Working with Exponents and Logarithms</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve a logarithmic equation by rewriting as an exponential equation</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/logarithms.html" target="MathIsFun">Introduction to Logarithms</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-logarithms.html" target="MathIsFun">Working with Exponents and Logarithms</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Graph logarithmic functions, using the inverse of the related exponential function</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-inverse.html" target="MathIsFun">Inverse Functions</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-logarithmic.html" target="MathIsFun">Logarithmic Function Reference</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-logarithms.html" target="MathIsFun">Working with Exponents and Logarithms</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand that Euler's number, e, is the base of the Natural Logarithms and the Natural Exponential Function.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../irrational-numbers.html" target="MathIsFun">Irrational Numbers</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/e-eulers-number.html" target="MathIsFun">e - Euler's number</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-exponential.html" target="MathIsFun">Exponential Function Reference</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponential-growth.html" target="MathIsFun">Exponential Growth and Decay</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/logarithms.html" target="MathIsFun">Introduction to Logarithms</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-logarithmic.html" target="MathIsFun">Logarithmic Function Reference</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-logarithms.html" target="MathIsFun">Working with Exponents and Logarithms</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write a logarithmic expression in exponential form and vice versa</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-logarithms.html" target="MathIsFun">Working with Exponents and Logarithms</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/logarithms.html" target="MathIsFun">Introduction to Logarithms</a></div>
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|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Polynomials</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the solutions to polynomial equations of higher degree that can be solved using factoring and/or the quadratic formula </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/factoring.html" target="MathIsFun">Factoring in Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/factoring-quadratics.html" target="MathIsFun">Factoring Quadratics</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadratic-equation-solver-old.html" target="MathIsFun">Quadratic Equation Solver</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/linear-equations.html" target="MathIsFun">Linear Equations</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/quadratic-equation.html" target="MathIsFun">Quadratic Equations</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/polynomial.html" target="MathIsFun">Polynomial Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-solving.html" target="MathIsFun">Solving Polynomials</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Approximate the solutions to polynomial equations of higher degree by inspecting the graph</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-behave.html" target="MathIsFun">How Polynomials Behave</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-solving.html" target="MathIsFun">Solving Polynomials</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/approximate-solutions.html" target="MathIsFun">Approximate Solutions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/function-grapher69e6.html?func1=x" target="MathIsFun">Function Grapher and Calculator</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Factor polynomial expressions completely, using any combination of the following techniques: common factor extraction, difference of two perfect squares, quadratic trinomials</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/factoring.html" target="MathIsFun">Factoring in Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/factoring-quadratics.html" target="MathIsFun">Factoring Quadratics</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/special-binomial-products.html" target="MathIsFun">Special Binomial Products</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-solving.html" target="MathIsFun">Solving Polynomials</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Perform arithmetic operations with polynomial expressions containing rational coefficients</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials.html" target="MathIsFun">Polynomials</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-adding-subtracting.html" target="MathIsFun">Adding and Subtracting Polynomials</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-multiplying.html" target="MathIsFun">Multiplying Polynomials</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-multiplication-long.html" target="MathIsFun">Polynomials - Long Multiplication</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-dividing.html" target="MathIsFun">Dividing Polynomials</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-division-long.html" target="MathIsFun">Polynomials - Long Division</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Identify and factor the difference of two cubes or the sum of two cubes.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-difference-two-cubes.html" target="MathIsFun">Difference of Two Cubes</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/factoring.html" target="MathIsFun">Factoring in Algebra</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and understand the Fundamental Theorem of Algebra.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/fundamental-theorem-algebra.html" target="MathIsFun">Fundamental Theorem of Algebra</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-solving.html" target="MathIsFun">Solving Polynomials</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Divide a polynomial by a monomial or binomial, where the quotient has a remainder. Use Polynomial long division. </div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-division-long.html" target="MathIsFun">Polynomials - Long Division</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-dividing.html" target="MathIsFun">Dividing Polynomials</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate ways to search for all real roots (zeros) of a polynomial expression.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-bounds-zeros.html" target="MathIsFun">Polynomials: Bounds on Zeros</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-solving.html" target="MathIsFun">Solving Polynomials</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-rule-signs.html" target="MathIsFun">Polynomials: The Rule of Signs</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/fundamental-theorem-algebra.html" target="MathIsFun">Fundamental Theorem of Algebra</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the rule of signs for polynomials.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-rule-signs.html" target="MathIsFun">Polynomials: The Rule of Signs</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand and apply The Remainder Theorem and The Factor Theorem.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-remainder-factor.html" target="MathIsFun">Remainder Theorem and Factor Theorem</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the sum and product of the roots of a cubic and higher poynomials by examining its coefficients.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/polynomials-sums-products-roots.html" target="MathIsFun">Polynomials: Sums and Products of Roots</a></div>
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|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Sets</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Introduction to groups.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/groups-introduction.html" target="MathIsFun">Introduction to Groups</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand what is meant by a Power Set of a given set, and that the power set for a set with n members has 2<sup>n</sup> members.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/power-set.html" target="MathIsFun">Power Set</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/power-set-maker.html" target="MathIsFun">Power Set Maker</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/subsets.html" target="MathIsFun">Activity: Subsets</a></div>
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|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Logic</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the negation of a statement and establish its truth value</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/open-sentence.html" target="MathIsFun">Definition of Open Sentence</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/open-sentences.html" target="MathIsFun">Open Sentences</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../puzzles/knights-and-knaves.html" target="MathIsFun">Knights and Knaves Puzzle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../puzzles/knights-and-knaves-2.html" target="MathIsFun">Knights and Knaves 2 Puzzle</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../puzzles/lying-about-their-age.html" target="MathIsFun">Lying about their age Puzzle</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../puzzles/triplets.html" target="MathIsFun">Triplets Puzzle</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write a proof arguing from a given hypothesis to a given conclusion</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/theorems-lemmas.html" target="MathIsFun">Theorems Corollaries Lemmas</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand the principle of Mathematical Induction as a method of proof.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/mathematical-induction.html" target="MathIsFun">Mathematical Induction</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand what is meant by each of the terms: Theorems, Corollaries and Lemmas.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/theorems-lemmas.html" target="MathIsFun">Theorems Corollaries Lemmas</a></div>
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|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Functions</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the domain and range of a function from its equation</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function.html" target="MathIsFun">What is a Function</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/function.html" target="MathIsFun">Definition of Function</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/domain-of-a-function.html" target="MathIsFun">Definition of Domain of a Function</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/range-of-a-function.html" target="MathIsFun">Range of a Function Definition</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/set-builder-notation.html" target="MathIsFun">Set-Builder Notation</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write functions in functional notation</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function.html" target="MathIsFun">What is a Function</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use functional notation to evaluate functions for given values of the domain</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function.html" target="MathIsFun">What is a Function</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/functions-evaluating.html" target="MathIsFun">Evaluating Functions</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the composition of functions</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/functions-composition.html" target="MathIsFun">Composition of Functions</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Define the inverse of a function</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-inverse.html" target="MathIsFun">Inverse Functions</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/exponents-logarithms.html" target="MathIsFun">Working with Exponents and Logarithms</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the inverse of a function and use composition to justify the result</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/functions-composition.html" target="MathIsFun">Composition of Functions</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-inverse.html" target="MathIsFun">Inverse Functions</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Perform transformations with functions and relations: f(x+a), f(x)+a, f(-x), -f(x), af(x)</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-transformations.html" target="MathIsFun">Function Transformations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/functions-odd-even.html" target="MathIsFun">Even and Odd Functions</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/function-grapher69e6.html?func1=x" target="MathIsFun">Function Grapher and Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the domain and range of a function from its graph</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function.html" target="MathIsFun">What is a Function</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/functions-common.html" target="MathIsFun">Common Functions Reference</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/set-builder-notation.html" target="MathIsFun">Set-Builder Notation</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Identify relations and functions, using graphs</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/function-grapher.html" target="MathIsFun">Function Grapher and Calculator</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/functions-common.html" target="MathIsFun">Common Functions Reference</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function.html" target="MathIsFun">What is a Function</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Introduction to functions</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/function.html" target="MathIsFun">Definition of Function</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function.html" target="MathIsFun">What is a Function</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/functions-evaluating.html" target="MathIsFun">Evaluating Functions</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Types of function</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function.html" target="MathIsFun">What is a Function</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sin-cos-tan-graphs.html" target="MathIsFun">Graphs of Sine Cosine and Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/functions-common.html" target="MathIsFun">Common Functions Reference</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand the meaning of an asymptote and distinguish between the three types - horizontal asymptote, vertical asymptote and oblique asymptote.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/asymptote.html" target="MathIsFun">Asymptote</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rational-expression.html" target="MathIsFun">Rational Expressions</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the equations of the horizontal, vertical and oblique asymptotes for a rational expression.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/rational-expression.html" target="MathIsFun">Rational Expressions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/asymptote.html" target="MathIsFun">Asymptote</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Give the correct domain for the composition of two functions.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/functions-composition.html" target="MathIsFun">Composition of Functions</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Recognize the properties, shape and symmetry of the graph of a cubic function.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/equation-symmetry.html" target="MathIsFun">Symmetry in Equations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-cube.html" target="MathIsFun">Cube Function</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand the difference between Range and Codomain.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand that a function can be even, odd or neither even nor odd, and know how to determine whether a given function is even, odd or neither even nor odd.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/equation-symmetry.html" target="MathIsFun">Symmetry in Equations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/functions-odd-even.html" target="MathIsFun">Even and Odd Functions</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Define and understand the 'floor', 'ceiling', 'integer' and 'fractional part' functions, and investigate their graphs.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-floor-ceiling.html" target="MathIsFun">Floor and Ceiling Functions</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/rounding-methods.html" target="MathIsFun">Rounding Methods</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Add, subtract, multiply and divide functions; and find the Domain of the sum, difference, product or quotient respectively.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/functions-operations.html" target="MathIsFun">Operations with Functions</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand what is meant by a 'Piecewise' function, how to define the various pieces, and how to determine the domain for such a function.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/functions-piecewise.html" target="MathIsFun">Piecewise Functions</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-absolute-value.html" target="MathIsFun">Absolute Value Function</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-floor-ceiling.html" target="MathIsFun">Floor and Ceiling Functions</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write a domain or range of a function using Set Builder notation.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/set-builder-notation.html" target="MathIsFun">Set-Builder Notation</a></div>
|
|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Sequences and Sums</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Identify an arithmetic or geometric sequence and find the formula for its nth term</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-series.html" target="MathIsFun">Sequences</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/arithmetic-sequence.html" target="MathIsFun">Definition of Arithmetic Sequence</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/geometric-sequence.html" target="MathIsFun">Definition of Geometric Sequence</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-arithmetic.html" target="MathIsFun">Arithmetic Sequences and Sums</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-geometric.html" target="MathIsFun">Geometric Sequences and Sums</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the common difference in an arithmetic sequence</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-arithmetic.html" target="MathIsFun">Arithmetic Sequences and Sums</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the common ratio in a geometric sequence</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-geometric.html" target="MathIsFun">Geometric Sequences and Sums</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine a specified term of an arithmetic or geometric sequence</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-arithmetic.html" target="MathIsFun">Arithmetic Sequences and Sums</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-geometric.html" target="MathIsFun">Geometric Sequences and Sums</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Specify terms of a sequence, given its recursive definition</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numberpatterns.html" target="MathIsFun">Number Sequences - Square Cube and Fibonacci</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/fibonacci-sequence.html" target="MathIsFun">Fibonacci Sequence</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-arithmetic.html" target="MathIsFun">Arithmetic Sequences and Sums</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-geometric.html" target="MathIsFun">Geometric Sequences and Sums</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-series.html" target="MathIsFun">Sequences</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Represent the sum of a series, using sigma notation</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sigma-notation.html" target="MathIsFun">Sigma Notation</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/partial-sums.html" target="MathIsFun">Partial Sums</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-arithmetic.html" target="MathIsFun">Arithmetic Sequences and Sums</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-geometric.html" target="MathIsFun">Geometric Sequences and Sums</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the sum of the first n terms of an arithmetic or geometric series</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/partial-sums.html" target="MathIsFun">Partial Sums</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-arithmetic.html" target="MathIsFun">Arithmetic Sequences and Sums</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-sums-geometric.html" target="MathIsFun">Geometric Sequences and Sums</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sigma-notation.html" target="MathIsFun">Sigma Notation</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the binomial theorem to expand a binomial and determine a specific term of a binomial expansion</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/factorial.html" target="MathIsFun">Factorial Function !</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../combinatorics/combinations-permutations.html" target="MathIsFun">Combinations and Permutations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../combinatorics/combinations-permutations-calculator.html" target="MathIsFun">Combinations and Permutations Calculator</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../pascals-triangle.html" target="MathIsFun">Pascal's Triangle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/binomial-theorem.html" target="MathIsFun">Binomial Theorem</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply sigma notation</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sigma-notation.html" target="MathIsFun">Sigma Notation</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/partial-sums.html" target="MathIsFun">Partial Sums</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Define the Fibonacci sequence and the Golden ratio and investigate the relationship between them.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/pentagram.html" target="MathIsFun">The Pentagram</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/fibonacci-sequence.html" target="MathIsFun">Fibonacci Sequence</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/golden-ratio.html" target="MathIsFun">Golden Ratio</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/nature-golden-ratio-fibonacci.html" target="MathIsFun">Nature The Golden Ratio and Fibonacci Numbers</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the names of special sequences such as Triangular Numbers, Square Numbers, Cube Numbers, Tetrahedral Numbers and Fibonacci numbers; and how they are generated.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numberpatterns.html" target="MathIsFun">Number Sequences - Square Cube and Fibonacci</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/fibonacci-sequence.html" target="MathIsFun">Fibonacci Sequence</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../pascals-triangle.html" target="MathIsFun">Pascal's Triangle</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-series.html" target="MathIsFun">Sequences</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../tetrahedral-number.html" target="MathIsFun">Tetrahedral Number Sequence</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/triangular-numbers.html" target="MathIsFun">Triangular Number Sequence</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/walk-in-desert.html" target="MathIsFun">Activity: A Walk in the Desert</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/drawing-squares.html" target="MathIsFun">Activity: Drawing Squares</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the formulae for:
|
|
1. The sum of the first n natural numbers.
|
|
2. The sum of the squares of the first n natural numbers.
|
|
3. The sum of the cubes of the first n natural numbers.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/partial-sums.html" target="MathIsFun">Partial Sums</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/walk-in-desert.html" target="MathIsFun">Activity: A Walk in the Desert</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate Pascal's Triangle and its properties; including its relationship to sets of numbers (such as triangular numbers and Fibonacci numbers), and the Binomial coefficients.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../tetrahedral-number.html" target="MathIsFun">Tetrahedral Number Sequence</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/fibonacci-sequence.html" target="MathIsFun">Fibonacci Sequence</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../pascals-triangle.html" target="MathIsFun">Pascal's Triangle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/subsets.html" target="MathIsFun">Activity: Subsets</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/triangular-numbers.html" target="MathIsFun">Triangular Number Sequence</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use differences to find the rule for a sequence</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-series.html" target="MathIsFun">Sequences</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sequences-finding-rule.html" target="MathIsFun">Sequences - Finding A Rule</a></div>
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|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Vectors</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand what is meant by a vector </div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors.html" target="MathIsFun">Vectors</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/vector.html" target="MathIsFun">Vector Definition</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know how to add and subtract vectors, and how to break a vector into two pieces</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors.html" target="MathIsFun">Vectors</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/vector.html" target="MathIsFun">Vector Definition</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand what is meant by the magnitude of a vector and how to multiply a vector by a scalar</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors.html" target="MathIsFun">Vectors</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Calculate the magnitude and direction of a vector from its x and y lengths, or vice versa</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors.html" target="MathIsFun">Vectors</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vector-calculator.html" target="MathIsFun">Vector Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand unit vectors</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vector-unit.html" target="MathIsFun">Unit Vector</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors.html" target="MathIsFun">Vectors</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the two ways to find the dot product of two vectors (in 2 or 3 dimensions)</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors-dot-product.html" target="MathIsFun">Dot Product</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors.html" target="MathIsFun">Vectors</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vector-calculator.html" target="MathIsFun">Vector Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the two ways to find the cross product of two vectors (in 2 or 3 dimensions)</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors-cross-product.html" target="MathIsFun">Cross Product</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/vectors.html" target="MathIsFun">Vectors</a></div>
|
|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Matrices</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know how to add and subtract matrices, how to find the negative of a matrix, how to multiply a matrix by a constant, and how to find the transpose of a matrix.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-introduction.html" target="MathIsFun">Matrices</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the conditions under which two matrices can be multiplied, and how to perform the multiplication.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-multiplying.html" target="MathIsFun">How to Multiply Matrices</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-calculator.html" target="MathIsFun">Matrix Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand that multiplication of matrices is not commutative.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../associative-commutative-distributive.html" target="MathIsFun">Commutative Associative and Distributive Laws</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/commutative-law.html" target="MathIsFun">Definition of Commutative Law</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-multiplying.html" target="MathIsFun">How to Multiply Matrices</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know what is meant by an identity matrix.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-multiplying.html" target="MathIsFun">How to Multiply Matrices</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-types.html" target="MathIsFun">Types of Matrix</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Evaluate the determinant of a 2 by 2 matrix or a 3 by 3 matrix.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-calculator.html" target="MathIsFun">Matrix Calculator</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-determinant.html" target="MathIsFun">Determinant of a Matrix</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the conditions under which a matrix has a multiplicative inverse and what is meant by a singular matrix.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-determinant.html" target="MathIsFun">Determinant of a Matrix</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-inverse.html" target="MathIsFun">Inverse of a Matrix</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-calculator.html" target="MathIsFun">Matrix Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the inverse of a matrix (if it exists) by swapping around the elements and multiplying by the reciprocal of the determinant.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-inverse.html" target="MathIsFun">Inverse of a Matrix</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-determinant.html" target="MathIsFun">Determinant of a Matrix</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-calculator.html" target="MathIsFun">Matrix Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the inverse of a matrix (if it exists) using elementary row operations.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-inverse-row-operations-gauss-jordan.html" target="MathIsFun">Inverse of a Matrix using Elementary Row Operations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-inverse.html" target="MathIsFun">Inverse of a Matrix</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-calculator.html" target="MathIsFun">Matrix Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the inverse of a matrix (if it exists) using Minors, Cofactors and Adjugate.
|
|
</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-inverse-minors-cofactors-adjugate.html" target="MathIsFun">Inverse of a Matrix using Minors Cofactors and Adjugate</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-inverse.html" target="MathIsFun">Inverse of a Matrix</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-determinant.html" target="MathIsFun">Determinant of a Matrix</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-calculator.html" target="MathIsFun">Matrix Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve a system of linear equations using matrices.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/systems-linear-equations.html" target="MathIsFun">Systems of Linear Equations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-introduction.html" target="MathIsFun">Matrices</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/systems-linear-equations-matrices.html" target="MathIsFun">Solving Systems of Linear Equations Using Matrices</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-inverse.html" target="MathIsFun">Inverse of a Matrix</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/matrix-calculator.html" target="MathIsFun">Matrix Calculator</a></div>
|
|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">Algebra 2 | Graphs</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the center-radius form for the equation of a circle in standard form</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/circle-equations.html" target="MathIsFun">Circle Equations</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write the equation of a circle, given its center and a point on the circle</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/circle-equations.html" target="MathIsFun">Circle Equations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/distance-2-points.html" target="MathIsFun">Distance Between 2 Points</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write the equation of a circle from its graph</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/distance-2-points.html" target="MathIsFun">Distance Between 2 Points</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/circle-equations.html" target="MathIsFun">Circle Equations</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Graph and solve compound loci in the coordinate plane</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/locus.html" target="MathIsFun">Definition of Locus</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/set-of-points.html" target="MathIsFun">Set of All Points</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/ellipse.html" target="MathIsFun">Ellipse</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/hyperbola.html" target="MathIsFun">Hyperbola</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write the equation of a circle, given its center and radius or given the endpoints of a diameter</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/circle-equations.html" target="MathIsFun">Circle Equations</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write the equation of a circle, given its graph. Note: The center is an ordered pair of integers and the radius is an integer.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/circle-equations.html" target="MathIsFun">Circle Equations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/completing-square.html" target="MathIsFun">Completing the Square</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the center and radius of a circle, given the equation of the circle in center-radius form</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/circle-equations.html" target="MathIsFun">Circle Equations</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/completing-square.html" target="MathIsFun">Completing the Square</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Graph circles of the form (x - h)<sup>2</sup> + (y - k)<sup>2</sup> = r<sup>2</sup>
|
|
</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/circle-equations.html" target="MathIsFun">Circle Equations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/grapher-equation.html" target="MathIsFun">Equation Grapher</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand Conic Sections (circle, ellipse, parabola, hyperbola)</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/set-of-points.html" target="MathIsFun">Set of All Points</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/conic-sections.html" target="MathIsFun">Conic Sections</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/ellipse.html" target="MathIsFun">Ellipse</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parabola.html" target="MathIsFun">Parabola</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle.html" target="MathIsFun">Circle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/hyperbola.html" target="MathIsFun">Hyperbola</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/eccentricity.html" target="MathIsFun">Eccentricity</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the x and y intercepts for a graph given its equation.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../y_intercept.html" target="MathIsFun">Y Intercept of a Straight Line</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/linear-equations.html" target="MathIsFun">Linear Equations</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/finding-intercepts-equation.html" target="MathIsFun">Finding Intercepts From an Equation</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate various approximate formulae for finding the perimeter of an ellipse, and compare them.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/ellipse-perimeter.html" target="MathIsFun">Perimeter of Ellipse</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/ellipse.html" target="MathIsFun">Ellipse</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the equation of a curve given some points on the curve.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/graph-equation.html" target="MathIsFun">Graph of an Equation</a></div>
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