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<title>High School Functions Common Core Standards</title>
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<h1 align="center">High School Functions Common Core Standards</h1><p align="center">Here are the <a href="core-index.html">Common Core Standards</a> for High School Functions, with links to resources that support them. We also encourage plenty of exercises and book work.</p><div class="corYrSubj">High School Functions | Interpreting Functions</div>
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<div class="corTitle">Understand the concept of a function and use function notation.</div>
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<div class="corCore"><span class="corCode">HSF.IF.A.1</span><span class="corDescr">Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/linear-equations.html">Linear Equations</a></div>
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<div class="corPage"><a href="../sets/function.html">What is a Function</a></div>
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<div class="corPage"><a href="../algebra/functions-evaluating.html">Evaluating Functions</a></div>
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<div class="corPage"><a href="../sets/domain-range-codomain.html">Domain Range and Codomain</a></div>
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<div class="corPage"><a href="../sets/injective-surjective-bijective.html">Injective Surjective and Bijective</a></div></div>
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<div class="corCore"><span class="corCode">HSF.IF.A.2</span><span class="corDescr">Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/linear-equations.html">Linear Equations</a></div>
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<div class="corPage"><a href="../sets/function.html">What is a Function</a></div>
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<div class="corPage"><a href="../algebra/functions-evaluating.html">Evaluating Functions</a></div>
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<div class="corPage"><a href="../sets/function-transformations.html">Function Transformations</a></div>
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<div class="corPage"><a href="../sets/domain-range-codomain.html">Domain Range and Codomain</a></div></div>
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<div class="corCore"><span class="corCode">HSF.IF.A.3</span><span class="corDescr">Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n is greater than or equal to 1.</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/sequences-series.html">Sequences</a></div>
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<div class="corPage"><a href="../numbers/fibonacci-sequence.html">Fibonacci Sequence</a></div>
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<div class="corPage"><a href="../algebra/sequences-finding-rule.html">Sequences - Finding A Rule</a></div>
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<div class="corPage"><a href="../algebra/triangular-numbers.html">Triangular Number Sequence</a></div>
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<div class="corPage"><a href="../tetrahedral-number.html">Tetrahedral Number Sequence</a></div>
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<div class="corPage"><a href="../algebra/sequences-sums-geometric.html">Geometric Sequences and Sums</a></div>
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<div class="corPage"><a href="../algebra/sequences-sums-arithmetic.html">Arithmetic Sequences and Sums</a></div>
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<div class="corPage"><a href="../numberpatterns.html">Number Sequences - Square Cube and Fibonacci</a></div></div>
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<div class="corTitle">Interpret functions that arise in applications in terms of the context.</div>
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<div class="corCore"><span class="corCode">HSF.IF.B.4</span><span class="corDescr">For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.</span></div><div class="corPages">
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<div class="corPage"><a href="../geometry/parabola.html">Parabola</a></div>
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<div class="corPage"><a href="../sets/function-cube.html">Cube Function</a></div>
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<div class="corPage"><a href="../sets/function-square.html">Square Function</a></div>
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<div class="corPage"><a href="../algebra/linear-equations.html">Linear Equations</a></div>
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<div class="corPage"><a href="../sets/graph-equation.html">Graph of an Equation</a></div>
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<div class="corPage"><a href="../algebra/equation-symmetry.html">Symmetry in Equations</a></div>
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<div class="corPage"><a href="../algebra/polynomials-behave.html">How Polynomials Behave</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-graphing.html">Graphing Quadratic Equations</a></div>
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<div class="corPage"><a href="../algebra/polynomials-bounds-zeros.html">Polynomials: Bounds on Zeros</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-graph.html">Explore the Quadratic Equation</a></div>
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<div class="corPage"><a href="../algebra/functions-maxima-minima.html">Maxima and Minima of Functions</a></div>
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<div class="corPage"><a href="../algebra/polynomials-rule-signs.html">Polynomials: The Rule of Signs</a></div>
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<div class="corPage"><a href="../data/function-grapher.html">Function Grapher and Calculator</a></div>
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<div class="corPage"><a href="../algebra/finding-intercepts-equation.html">Finding Intercepts From an Equation</a></div>
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<div class="corPage"><a href="../sets/functions-increasing.html">Increasing and Decreasing Functions</a></div></div>
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<div class="corCore"><span class="corCode">HSF.IF.B.5</span><span class="corDescr">Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.</span></div><div class="corPages">
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<div class="corPage"><a href="../sets/function.html">What is a Function</a></div>
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<div class="corPage"><a href="../sets/set-builder-notation.html">Set-Builder Notation</a></div>
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<div class="corPage"><a href="../sets/domain-range-codomain.html">Domain Range and Codomain</a></div></div>
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<div class="corCore"><span class="corCode">HSF.IF.B.6</span><span class="corDescr">Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/linear-equations.html">Linear Equations</a></div>
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<div class="corPage"><a href="../calculus/derivatives-dy-dx.html">Derivatives as dy/dx</a></div>
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<div class="corPage"><a href="../geometry/slope.html">Slope of a Straight Line</a></div>
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<div class="corPage"><a href="../equation_of_line.html">Equation of a Straight Line</a></div>
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<div class="corPage"><a href="../gradient.html">Gradient of a Straight Line</a></div></div>
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<div class="corTitle">Analyze functions using different representations.</div>
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<div class="corCore"><span class="corCode">HSF.IF.C.7</span><span class="corDescr">Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.<br />
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a. Graph linear and quadratic functions and show intercepts, maxima, and minima.<br />
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b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.<br />
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c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.<br />
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d. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.<br />
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e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.</span></div><div class="corPages">
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<div class="corPage"><a href="../geometry/parabola.html">Parabola</a></div>
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<div class="corPage"><a href="../algebra/asymptote.html">Asymptote</a></div>
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<div class="corPage"><a href="../sets/function-cube.html">Cube Function</a></div>
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<div class="corPage"><a href="../sets/function-square.html">Square Function</a></div>
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<div class="corPage"><a href="../algebra/linear-equations.html">Linear Equations</a></div>
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<div class="corPage"><a href="../sets/functions-piecewise.html">Piecewise Functions</a></div>
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<div class="corPage"><a href="../sets/function-reciprocal.html">Reciprocal Function</a></div>
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<div class="corPage"><a href="../algebra/polynomials-solving.html">Solving Polynomials</a></div>
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<div class="corPage"><a href="../sets/graph-equation.html">Graph of an Equation</a></div>
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<div class="corPage"><a href="../algebra/rational-expression.html">Rational Expressions</a></div>
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<div class="corPage"><a href="../sets/function-square-root.html">Square Root Function</a></div>
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<div class="corPage"><a href="../algebra/equation-symmetry.html">Symmetry in Equations</a></div>
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<div class="corPage"><a href="../algebra/polynomials-behave.html">How Polynomials Behave</a></div>
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<div class="corPage"><a href="../sets/function-absolute-value.html">Absolute Value Function</a></div>
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<div class="corPage"><a href="../sets/domain-range-codomain.html">Domain Range and Codomain</a></div>
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<div class="corPage"><a href="../sets/function-floor-ceiling.html">Floor and Ceiling Functions</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-graphing.html">Graphing Quadratic Equations</a></div>
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<div class="corPage"><a href="../algebra/polynomials-bounds-zeros.html">Polynomials: Bounds on Zeros</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-graph.html">Explore the Quadratic Equation</a></div>
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<div class="corPage"><a href="../sets/function-exponential.html">Exponential Function Reference</a></div>
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<div class="corPage"><a href="../sets/function-logarithmic.html">Logarithmic Function Reference</a></div>
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<div class="corPage"><a href="../algebra/functions-maxima-minima.html">Maxima and Minima of Functions</a></div>
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<div class="corPage"><a href="../algebra/polynomials-rule-signs.html">Polynomials: The Rule of Signs</a></div>
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<div class="corPage"><a href="../data/function-grapher.html">Function Grapher and Calculator</a></div>
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<div class="corPage"><a href="../algebra/trig-sin-cos-tan-graphs.html">Graphs of Sine Cosine and Tangent</a></div>
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<div class="corPage"><a href="../algebra/finding-intercepts-equation.html">Finding Intercepts From an Equation</a></div>
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<div class="corPage"><a href="../sets/functions-increasing.html">Increasing and Decreasing Functions</a></div></div>
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<div class="corCore"><span class="corCode">HSF.IF.C.8</span><span class="corDescr">Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.<br />
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a. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.<br />
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b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)12^t, y = (1.2)^t/10, and classify them as representing exponential growth or decay.</span></div><div class="corPages">
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<div class="corPage"><a href="../geometry/parabola.html">Parabola</a></div>
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<div class="corPage"><a href="../sets/function-square.html">Square Function</a></div>
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<div class="corPage"><a href="../money/compound-interest.html">Compound Interest</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation.html">Quadratic Equations</a></div>
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<div class="corPage"><a href="../algebra/factoring.html">Factoring in Algebra</a></div>
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<div class="corPage"><a href="../algebra/factoring-quadratics.html">Factoring Quadratics</a></div>
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<div class="corPage"><a href="../sets/graph-equation.html">Graph of an Equation</a></div>
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<div class="corPage"><a href="../algebra/completing-square.html">Completing the Square</a></div>
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<div class="corPage"><a href="../algebra/equation-symmetry.html">Symmetry in Equations</a></div>
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<div class="corPage"><a href="../quadratic-equation-solver.html">Quadratic Equation Solver</a></div>
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<div class="corPage"><a href="../algebra/exponential-growth.html">Exponential Growth and Decay</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-graphing.html">Graphing Quadratic Equations</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-graph.html">Explore the Quadratic Equation</a></div>
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<div class="corPage"><a href="../sets/function-exponential.html">Exponential Function Reference</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-derivation.html">Derivation of Quadratic Formula</a></div>
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<div class="corPage"><a href="../data/function-grapher.html">Function Grapher and Calculator</a></div></div>
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<div class="corCore"><span class="corCode">HSF.IF.C.9</span><span class="corDescr">Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.</span></div><div class="corPages"></div><div class="corYrSubj">High School Functions | Building Functions</div>
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<div class="corTitle">Build a function that models a relationship between two quantities.</div>
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<div class="corCore"><span class="corCode">HSF.BF.A.1</span><span class="corDescr">Write a function that describes a relationship between two quantities. <br />
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a. Determine an explicit expression, a recursive process, or steps for calculation from a context. <br />
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b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.<br />
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c. Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/sequences-series.html">Sequences</a></div>
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<div class="corPage"><a href="../sets/function.html">What is a Function</a></div>
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<div class="corPage"><a href="../algebra/functions-evaluating.html">Evaluating Functions</a></div>
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<div class="corPage"><a href="../sets/functions-composition.html">Composition of Functions</a></div>
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<div class="corPage"><a href="../sets/domain-range-codomain.html">Domain Range and Codomain</a></div>
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<div class="corPage"><a href="../sets/functions-operations.html">Operations with Functions</a></div>
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<div class="corPage"><a href="../numberpatterns.html">Number Sequences - Square Cube and Fibonacci</a></div></div>
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<div class="corCore"><span class="corCode">HSF.BF.A.2</span><span class="corDescr">Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/sequences-series.html">Sequences</a></div>
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<div class="corPage"><a href="../algebra/sequences-sums-geometric.html">Geometric Sequences and Sums</a></div>
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<div class="corPage"><a href="../algebra/sequences-sums-arithmetic.html">Arithmetic Sequences and Sums</a></div></div>
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<div class="corTitle">Build new functions from existing functions.</div>
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<div class="corCore"><span class="corCode">HSF.BF.B.3</span><span class="corDescr">Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/equation-symmetry.html">Symmetry in Equations</a></div>
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<div class="corPage"><a href="../algebra/functions-odd-even.html">Even and Odd Functions</a></div>
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<div class="corPage"><a href="../algebra/polynomials-behave.html">How Polynomials Behave</a></div>
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<div class="corPage"><a href="../sets/function-transformations.html">Function Transformations</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-graphing.html">Graphing Quadratic Equations</a></div>
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<div class="corPage"><a href="../algebra/quadratic-equation-graph.html">Explore the Quadratic Equation</a></div>
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<div class="corPage"><a href="../data/function-grapher.html">Function Grapher and Calculator</a></div></div>
|
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<div class="corCore"><span class="corCode">HSF.BF.B.4</span><span class="corDescr">Find inverse functions.<br />
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a. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2x^3 or f(x) = (x+1)/(x-1) for x is not equal to 1.<br />
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b. Verify by composition that one function is the inverse of another.<br />
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c. Read values of an inverse function from a graph or a table, given that the function has an inverse.<br />
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d. Produce an invertible function from a non-invertible function by restricting the domain.</span></div><div class="corPages">
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<div class="corPage"><a href="../sets/function-inverse.html">Inverse Functions</a></div>
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|
<div class="corPage"><a href="../sets/function.html">What is a Function</a></div>
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<div class="corPage"><a href="../sets/set-builder-notation.html">Set-Builder Notation</a></div>
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<div class="corPage"><a href="../sets/function-square-root.html">Square Root Function</a></div>
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<div class="corPage"><a href="../sets/functions-composition.html">Composition of Functions</a></div>
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<div class="corPage"><a href="../sets/domain-range-codomain.html">Domain Range and Codomain</a></div></div>
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<div class="corCore"><span class="corCode">HSF.BF.B.5</span><span class="corDescr">Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.</span></div><div class="corPages">
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<div class="corPage"><a href="../sets/function-inverse.html">Inverse Functions</a></div>
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|
<div class="corPage"><a href="../numbers/e-eulers-number.html">e - Euler's number</a></div>
|
|
<div class="corPage"><a href="../algebra/exponent-fractional.html">Fractional Exponents</a></div>
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<div class="corPage"><a href="../algebra/logarithms.html">Introduction to Logarithms</a></div>
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<div class="corPage"><a href="../algebra/exponential-growth.html">Exponential Growth and Decay</a></div>
|
|
<div class="corPage"><a href="../algebra/exponents-squaring-negative.html">Exponents of Negative Numbers</a></div>
|
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<div class="corPage"><a href="../sets/function-exponential.html">Exponential Function Reference</a></div>
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<div class="corPage"><a href="../sets/function-logarithmic.html">Logarithmic Function Reference</a></div>
|
|
<div class="corPage"><a href="../algebra/exponents-logarithms.html">Working with Exponents and Logarithms</a></div></div><div class="corYrSubj">High School Functions | Linear, Quadratic & Exponential Models</div>
|
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<div class="corTitle">Construct and compare linear, quadratic, and exponential models and solve problems.</div>
|
|
<div class="corCore"><span class="corCode">HSF.LE.A.1</span><span class="corDescr">Distinguish between situations that can be modeled with linear functions and with exponential functions.<br />
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a. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.<br />
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b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.<br />
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|
c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.</span></div><div class="corPages">
|
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<div class="corPage"><a href="../data/grapher-equation.html">Equation Grapher</a></div>
|
|
<div class="corPage"><a href="../algebra/linear-equations.html">Linear Equations</a></div>
|
|
<div class="corPage"><a href="../money/compound-interest.html">Compound Interest</a></div>
|
|
<div class="corPage"><a href="../algebra/exponential-growth.html">Exponential Growth and Decay</a></div>
|
|
<div class="corPage"><a href="../sets/function-exponential.html">Exponential Function Reference</a></div>
|
|
<div class="corPage"><a href="../data/function-grapher.html">Function Grapher and Calculator</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.LE.A.2</span><span class="corDescr">Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../algebra/sequences-series.html">Sequences</a></div>
|
|
<div class="corPage"><a href="../algebra/sequences-sums-geometric.html">Geometric Sequences and Sums</a></div>
|
|
<div class="corPage"><a href="../algebra/sequences-sums-arithmetic.html">Arithmetic Sequences and Sums</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.LE.A.3</span><span class="corDescr">Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../geometry/parabola.html">Parabola</a></div>
|
|
<div class="corPage"><a href="../sets/function-square.html">Square Function</a></div>
|
|
<div class="corPage"><a href="../algebra/linear-equations.html">Linear Equations</a></div>
|
|
<div class="corPage"><a href="../algebra/quadratic-equation-graphing.html">Graphing Quadratic Equations</a></div>
|
|
<div class="corPage"><a href="../algebra/quadratic-equation-graph.html">Explore the Quadratic Equation</a></div>
|
|
<div class="corPage"><a href="../sets/function-exponential.html">Exponential Function Reference</a></div>
|
|
<div class="corPage"><a href="../data/function-grapher.html">Function Grapher and Calculator</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.LE.A.4</span><span class="corDescr">For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../numbers/e-eulers-number.html">e - Euler's number</a></div>
|
|
<div class="corPage"><a href="../algebra/logarithms.html">Introduction to Logarithms</a></div>
|
|
<div class="corPage"><a href="../algebra/exponents-logarithms.html">Working with Exponents and Logarithms</a></div></div>
|
|
<div class="corTitle">Interpret expressions for functions in terms of the situation they model.</div>
|
|
<div class="corCore"><span class="corCode">HSF.LE.B.5</span><span class="corDescr">Interpret the parameters in a linear or exponential function in terms of a context.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../data/function-grapher.html">Function Grapher and Calculator</a></div></div><div class="corYrSubj">High School Functions | Trigonometric Functions</div>
|
|
<div class="corTitle">Extend the domain of trigonometric functions using the unit circle.</div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.A.1</span><span class="corDescr">Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../geometry/radians.html">Radians</a></div>
|
|
<div class="corPage"><a href="../geometry/unit-circle.html">Unit Circle</a></div>
|
|
<div class="corPage"><a href="../geometry/circle-sector-segment.html">Circle Sector and Segment</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.A.2</span><span class="corDescr">Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../geometry/unit-circle.html">Unit Circle</a></div>
|
|
<div class="corPage"><a href="../algebra/trigonometry.html">Trigonometry</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-interactive-unit-circle.html">Interactive Unit Circle</a></div>
|
|
<div class="corPage"><a href="../polar-cartesian-coordinates.html">Polar and Cartesian Coordinates</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-four-quadrants.html">Sine Cosine and Tangent in Four Quadrants</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.A.3</span><span class="corDescr">Use special triangles to determine geometrically the values of sine, cosine, tangent for pi/3, pi/4 and pi/6, and use the unit circle to express the values of sine, cosine, and tangent for pi - x, 2pi - x and x - pi in terms of their values for x, where x is any real number.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../geometry/unit-circle.html">Unit Circle</a></div>
|
|
<div class="corPage"><a href="../sine-cosine-tangent.html">Sine Cosine Tangent</a></div>
|
|
<div class="corPage"><a href="../algebra/sohcahtoa.html">Sohcahtoa: Sine Cosine Tangent</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-solving-triangles-by-reflection.html">Solving Triangles by Reflection</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-four-quadrants.html">Sine Cosine and Tangent in Four Quadrants</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.A.4</span><span class="corDescr">Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../geometry/unit-circle.html">Unit Circle</a></div>
|
|
<div class="corPage"><a href="../algebra/equation-symmetry.html">Symmetry in Equations</a></div>
|
|
<div class="corPage"><a href="../algebra/functions-odd-even.html">Even and Odd Functions</a></div></div>
|
|
<div class="corTitle">Model periodic phenomena with trigonometric functions.</div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.B.5</span><span class="corDescr">Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. </span></div><div class="corPages">
|
|
<div class="corPage"><a href="../algebra/trig-sin-cos-tan-graphs.html">Graphs of Sine Cosine and Tangent</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.B.6</span><span class="corDescr">Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../sets/function-inverse.html">Inverse Functions</a></div>
|
|
<div class="corPage"><a href="../sets/domain-range-codomain.html">Domain Range and Codomain</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-inverse-sin-cos-tan.html">Inverse Sine Cosine Tangent</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-sin-cos-tan-graphs.html">Graphs of Sine Cosine and Tangent</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.B.7</span><span class="corDescr">Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../geometry/unit-circle.html">Unit Circle</a></div>
|
|
<div class="corPage"><a href="../sine-cosine-tangent.html">Sine Cosine Tangent</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-inverse-sin-cos-tan.html">Inverse Sine Cosine Tangent</a></div>
|
|
<div class="corPage"><a href="../activity/walk-in-desert-2.html">Activity: A Walk in the Desert 2</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-four-quadrants.html">Sine Cosine and Tangent in Four Quadrants</a></div></div>
|
|
<div class="corTitle">Prove and apply trigonometric identities.</div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.C.8</span><span class="corDescr">Prove the Pythagorean identity (sin A)^2 + (cos A)^2 = 1 and use it to find sin A, cos A, or tan A, given sin A, cos A, or tan A, and the quadrant of the angle.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../geometry/unit-circle.html">Unit Circle</a></div>
|
|
<div class="corPage"><a href="../pythagoras.html">Pythagoras Theorem</a></div>
|
|
<div class="corPage"><a href="../algebra/trigonometric-identities.html">Trigonometric Identities</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-inverse-sin-cos-tan.html">Inverse Sine Cosine Tangent</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-magic-hexagon.html">Magic Hexagon for Trig Identities</a></div>
|
|
<div class="corPage"><a href="../algebra/trig-four-quadrants.html">Sine Cosine and Tangent in Four Quadrants</a></div></div>
|
|
<div class="corCore"><span class="corCode">HSF.TF.C.9</span><span class="corDescr">Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.</span></div><div class="corPages">
|
|
<div class="corPage"><a href="../algebra/trigonometric-identities.html">Trigonometric Identities</a></div></div><p> </p><!-- #EndEditable -->
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