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307 lines
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<title>Grade 7 Common Core Standards</title>
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<h1 align="center">Grade 7 Common Core Standards</h1><p align="center">Here are the <a href="core-index.html">Common Core Standards</a> for Grade 7, with links to resources that support them. We also encourage plenty of exercises and book work.</p><div class="corYrSubj">Grade 7 | Ratios & Proportional Relationships</div>
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<div class="corTitle">Analyze proportional relationships and use them to solve real-world and mathematical problems.</div>
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<div class="corCore"><span class="corCode">7.RP.A.1</span><span class="corDescr">Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/ratio.html">Ratios</a></div>
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<div class="corPage"><a href="../equivalent_fractions.html">Equivalent Fractions</a></div>
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<div class="corPage"><a href="../recipie.html">Ratio - Chocolate Crispies Recipe</a></div>
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<div class="corPage"><a href="../ratio2.html">Ratio - Make Some Chocolate Crispies</a></div></div>
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<div class="corCore"><span class="corCode">7.RP.A.2</span><span class="corDescr">Recognize and represent proportional relationships between quantities.<br />
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a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.<br />
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b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. <br />
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c. Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. <br />
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d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/ratio.html">Ratios</a></div>
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<div class="corPage"><a href="../measure/unit-price.html">Unit Price</a></div>
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<div class="corPage"><a href="../measure/unit-price-game.html">Unit Price Game</a></div>
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<div class="corPage"><a href="../puzzles/the-herd-of-camels.html">The Herd of Camels Puzzle</a></div>
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<div class="corPage"><a href="../puzzles/the-herd-of-camels-solution.html">The Herd of Camels - Solution</a></div>
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<div class="corPage"><a href="../activity/garden-grass.html">Activity: Grass for the Garden</a></div>
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<div class="corPage"><a href="../recipie.html">Ratio - Chocolate Crispies Recipe</a></div>
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<div class="corPage"><a href="../ratio2.html">Ratio - Make Some Chocolate Crispies</a></div></div>
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<div class="corCore"><span class="corCode">7.RP.A.3</span><span class="corDescr">Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/ratio.html">Ratios</a></div>
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<div class="corPage"><a href="../numbers/percentage-error.html">Percentage Error</a></div>
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<div class="corPage"><a href="../numbers/percentage-change.html">Percentage Change</a></div>
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<div class="corPage"><a href="../percentage-points.html">Percentage Points</a></div>
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<div class="corPage"><a href="../percentage-calculator.html">Percentage Calculator</a></div>
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<div class="corPage"><a href="../percentage-difference.html">Percentage Difference</a></div>
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<div class="corPage"><a href="../quiz/percenttest.html">Test Your Percentages</a></div>
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<div class="corPage"><a href="../money/interest.html">Introduction to Interest</a></div>
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<div class="corPage"><a href="../data/percentage-difference-vs-error.html">Percentage Difference Percentage Error Percentage Change</a></div></div><div class="corYrSubj">Grade 7 | The Number System</div>
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<div class="corTitle">Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.</div>
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<div class="corCore"><span class="corCode">7.NS.A.1</span><span class="corDescr">Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.<br />
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a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. <br />
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b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.<br />
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c. Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.<br />
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d. Apply properties of operations as strategies to add and subtract rational numbers.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/inverse.html">Inverse</a></div>
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<div class="corPage"><a href="../numbers/casey-runner.html">Casey Runner</a></div>
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<div class="corPage"><a href="../numbers/absolute-value.html">Absolute Value</a></div>
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<div class="corPage"><a href="../rational-numbers.html">Rational Numbers</a></div>
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<div class="corPage"><a href="../numbers/number-line-using.html">Using The Number Line</a></div>
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<div class="corPage"><a href="../positive-negative-integers.html">Adding and Subtracting Positive and Negative Numbers</a></div></div>
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<div class="corCore"><span class="corCode">7.NS.A.2</span><span class="corDescr">Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. <br />
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a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.<br />
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b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.<br />
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c. Apply properties of operations as strategies to multiply and divide rational numbers.<br />
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d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/inverse.html">Inverse</a></div>
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<div class="corPage"><a href="../reciprocal.html">Reciprocal</a></div>
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<div class="corPage"><a href="../long_division.html">Long Division</a></div>
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<div class="corPage"><a href="../numbers/dividing-by-zero.html">Dividing by Zero</a></div>
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<div class="corPage"><a href="../fractions_division.html">Dividing Fractions</a></div>
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<div class="corPage"><a href="../worksheets/fractions.html">Fraction Worksheets</a></div>
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<div class="corPage"><a href="../fractions_multiplication.html">Multiplying Fractions</a></div>
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<div class="corPage"><a href="../sets/real-number-properties.html">Real Number Properties</a></div>
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<div class="corPage"><a href="../algebra/rational-numbers-operations.html">Using Rational Numbers</a></div>
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<div class="corPage"><a href="../numbers/long-division-animation.html">Long Division Animation</a></div>
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<div class="corPage"><a href="../worksheets/division.html">Division Math Worksheets</a></div>
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<div class="corPage"><a href="../worksheets/long-division.html">Long Division Worksheets</a></div>
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<div class="corPage"><a href="../reciprocal-fraction.html">Reciprocal of a Fraction</a></div>
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<div class="corPage"><a href="../mixed-fractions-multiply.html">Multiplying Mixed Numbers</a></div>
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<div class="corPage"><a href="../numbers/long-division-introduction.html">Long Division - Introduction</a></div>
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<div class="corPage"><a href="../long_division3.html">Long Division to Decimal Places</a></div>
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<div class="corPage"><a href="../multiplying-negatives.html">Multiplying Negatives Makes A Positive</a></div></div>
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<div class="corCore"><span class="corCode">7.NS.A.3</span><span class="corDescr">Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)</span></div><div class="corPages">
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<div class="corPage"><a href="../reciprocal.html">Reciprocal</a></div>
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<div class="corPage"><a href="../long_division.html">Long Division</a></div>
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<div class="corPage"><a href="../fractions_addition.html">Adding Fractions</a></div>
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<div class="corPage"><a href="../fractions_division.html">Dividing Fractions</a></div>
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<div class="corPage"><a href="../worksheets/fractions.html">Fraction Worksheets</a></div>
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<div class="corPage"><a href="../fractions_multiplication.html">Multiplying Fractions</a></div>
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<div class="corPage"><a href="../fractions_subtraction.html">Subtracting Fractions</a></div>
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<div class="corPage"><a href="../numbers/number-line-using.html">Using The Number Line</a></div>
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<div class="corPage"><a href="../algebra/rational-numbers-operations.html">Using Rational Numbers</a></div>
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<div class="corPage"><a href="../numbers/long-division-animation.html">Long Division Animation</a></div>
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<div class="corPage"><a href="../worksheets/division.html">Division Math Worksheets</a></div>
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<div class="corPage"><a href="../worksheets/long-division.html">Long Division Worksheets</a></div>
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<div class="corPage"><a href="../mixed-fractions-multiply.html">Multiplying Mixed Numbers</a></div>
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<div class="corPage"><a href="../numbers/long-division-introduction.html">Long Division - Introduction</a></div>
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<div class="corPage"><a href="../long_division3.html">Long Division to Decimal Places</a></div>
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<div class="corPage"><a href="../numbers/fractions-mixed-addition.html">Adding and Subtracting Mixed Fractions</a></div>
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<div class="corPage"><a href="../multiplying-negatives.html">Multiplying Negatives Makes A Positive</a></div>
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<div class="corPage"><a href="../positive-negative-integers.html">Adding and Subtracting Positive and Negative Numbers</a></div></div><div class="corYrSubj">Grade 7 | Expressions & Equations</div>
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<div class="corTitle">Use properties of operations to generate equivalent expressions.</div>
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<div class="corCore"><span class="corCode">7.EE.A.1</span><span class="corDescr">Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/like-terms.html">Like Terms</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="../greatest-common-factor.html">Greatest Common Factor</a></div></div>
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<div class="corCore"><span class="corCode">7.EE.A.2</span><span class="corDescr">Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05."</span></div><div class="corPages">
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<div class="corPage"><a href="../algebra/like-terms.html">Like Terms</a></div>
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<div class="corPage"><a href="../rational-numbers.html">Rational Numbers</a></div>
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<div class="corPage"><a href="../algebra/rational-numbers-operations.html">Using Rational Numbers</a></div>
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<div class="corPage"><a href="../decimal-fraction-percentage.html">Decimals Fractions and Percentages</a></div></div>
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<div class="corTitle">Solve real-life and mathematical problems using numerical and algebraic expressions and equations.</div>
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<div class="corCore"><span class="corCode">7.EE.B.3</span><span class="corDescr">Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations as strategies to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/estimation.html">Estimation</a></div>
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<div class="corPage"><a href="../numbers/absolute-value.html">Absolute Value</a></div>
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<div class="corPage"><a href="../rational-numbers.html">Rational Numbers</a></div>
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<div class="corPage"><a href="../rounding-numbers.html">Rounding Numbers</a></div>
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<div class="corPage"><a href="../algebra/rational-numbers-operations.html">Using Rational Numbers</a></div>
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<div class="corPage"><a href="../numbers/estimation-tips-tricks.html">Estimation Tips and Tricks</a></div>
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<div class="corPage"><a href="../operation-order-bodmas.html">Order of Operations - BODMAS</a></div>
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<div class="corPage"><a href="../operation-order-pemdas.html">Order of Operations - PEMDAS</a></div>
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<div class="corPage"><a href="../decimal-fraction-percentage.html">Decimals Fractions and Percentages</a></div></div>
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<div class="corCore"><span class="corCode">7.EE.B.4</span><span class="corDescr">Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.<br />
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a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?<br />
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b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/inverse.html">Inverse</a></div>
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<div class="corPage"><a href="../algebra/like-terms.html">Like Terms</a></div>
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<div class="corPage"><a href="../algebra/equations-solving.html">Solving Equations</a></div>
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<div class="corPage"><a href="../data/inequality-grapher.html">Inequality Grapher</a></div>
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<div class="corPage"><a href="../algebra/inequality-solving.html">Solving Inequalities</a></div>
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<div class="corPage"><a href="../algebra/word-questions-solving.html">Solving Word Questions</a></div>
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<div class="corPage"><a href="../algebra/introduction.html">Introduction to Algebra</a></div>
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<div class="corPage"><a href="../algebra/inequality.html">Introduction to Inequalities</a></div>
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<div class="corPage"><a href="../algebra/add-subtract-balance.html">Balance when Adding and Subtracting</a></div>
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<div class="corPage"><a href="../algebra/introduction-multiply.html">Algebra Introduction: Multiplication</a></div>
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<div class="corPage"><a href="../associative-commutative-distributive.html">Commutative Associative and Distributive Laws</a></div></div><div class="corYrSubj">Grade 7 | Geometry</div>
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<div class="corTitle">Draw, construct, and describe geometrical figures and describe the relationships between them.</div>
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<div class="corCore"><span class="corCode">7.G.A.1</span><span class="corDescr">Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/ratio.html">Ratios</a></div>
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<div class="corPage"><a href="../geometry/similar.html">Similar</a></div>
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<div class="corPage"><a href="../geometry/triangles-similar.html">Similar Triangles</a></div>
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<div class="corPage"><a href="../activity/how-high.html">Activity: How High?</a></div></div>
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<div class="corCore"><span class="corCode">7.G.A.2</span><span class="corDescr">Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.</span></div><div class="corPages">
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<div class="corPage"><a href="../geometry/degrees.html">Degrees</a></div>
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<div class="corPage"><a href="../data/pie-charts.html">Pie Chart</a></div>
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<div class="corPage"><a href="../geometry/triangle-3-4-5.html">3 4 5 Triangle</a></div>
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<div class="corPage"><a href="../geometry/protractor-using.html">Using a Protractor</a></div>
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<div class="corPage"><a href="../activity/how-high.html">Activity: How High?</a></div>
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<div class="corPage"><a href="../geometry/triangles-interactive.html">Interactive Triangles</a></div>
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<div class="corPage"><a href="../proof180deg.html">Triangles Contain 180 Degrees</a></div>
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<div class="corPage"><a href="../geometry/construct-ruler-compass-1.html">Constructing A Triangle With 3 Known Sides</a></div></div>
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<div class="corCore"><span class="corCode">7.G.A.3</span><span class="corDescr">Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. </span></div><div class="corPages">
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<div class="corPage"><a href="../geometry/pyramids.html">Pyramids</a></div>
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<div class="corPage"><a href="../geometry/cross-sections.html">Cross Sections</a></div>
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<div class="corPage"><a href="../geometry/prisms.html">Prisms with Examples</a></div>
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<div class="corPage"><a href="../activity/solids.html">Activity: Investigating Solids</a></div></div>
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<div class="corTitle">Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.</div>
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<div class="corCore"><span class="corCode">7.G.B.4</span><span class="corDescr">Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.</span></div><div class="corPages">
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<div class="corPage"><a href="../numbers/pi.html">Pi</a></div>
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<div class="corPage"><a href="../geometry/perimeter.html">Perimeter</a></div>
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<div class="corPage"><a href="../area-calculation-tool.html">Area Calculator</a></div>
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<div class="corPage"><a href="../geometry/circle-area.html">Area of a Circle</a></div>
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<div class="corPage"><a href="../activity/olympic-athletics-track.html">Activity: The Olympic Athletics Track</a></div>
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<div class="corPage"><a href="../activity/pi-approximation.html">Activity: Find an Approximate Value For Pi</a></div>
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<div class="corPage"><a href="../area.html">Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector</a></div></div>
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<div class="corCore"><span class="corCode">7.G.B.5</span><span class="corDescr">Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. </span></div><div class="corPages">
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<div class="corPage"><a href="../geometry/degrees.html">Degrees</a></div>
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<div class="corPage"><a href="../geometry/exterior-angles.html">Exterior Angle</a></div>
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<div class="corPage"><a href="../geometry/interior-angles.html">Interior Angle</a></div>
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<div class="corPage"><a href="../geometry/straight-angle.html">Straight Angles</a></div>
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<div class="corPage"><a href="../geometry/vertical-angles.html">Vertical Angles</a></div>
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<div class="corPage"><a href="../geometry/complementary-angles.html">Complementary Angles</a></div>
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<div class="corPage"><a href="../geometry/supplementary-angles.html">Supplementary Angles</a></div>
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<div class="corPage"><a href="../geometry/vertically-opposite-angles.html">Vertically Opposite Angles</a></div>
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<div class="corPage"><a href="../geometry/exterior-angles-polygons.html">Exterior Angles of Polygons</a></div>
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<div class="corPage"><a href="../proof180deg.html">Triangles Contain 180 Degrees</a></div>
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<div class="corPage"><a href="../angle360.html">Angles Around a Point Add to 360</a></div>
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<div class="corPage"><a href="../geometry/parallel-lines.html">Parallel Lines and Pairs of Angles</a></div>
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<div class="corPage"><a href="../angle180.html">Angles on a Straight Line Add to 180</a></div></div>
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<div class="corCore"><span class="corCode">7.G.B.6</span><span class="corDescr">Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. </span></div><div class="corPages">
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<div class="corPage"><a href="../geometry/estimate-volume.html">Pouring Liquid</a></div>
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<div class="corPage"><a href="../area-calculation-tool.html">Area Calculator</a></div>
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<div class="corPage"><a href="../activity/soup-can.html">Activity: Soup Can</a></div>
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<div class="corPage"><a href="../cuboid.html">Volume of a Cuboid</a></div>
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<div class="corPage"><a href="../geometry/prisms.html">Prisms with Examples</a></div>
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<div class="corPage"><a href="../geometry/cuboids-rectangular-prisms.html">Cuboids Rectangular Prisms and Cubes</a></div>
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<div class="corPage"><a href="../area.html">Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector</a></div></div><div class="corYrSubj">Grade 7 | Statistics & Probability</div>
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<div class="corTitle">Use random sampling to draw inferences about a population.</div>
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<div class="corCore"><span class="corCode">7.SP.A.1</span><span class="corDescr">Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.</span></div><div class="corPages">
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<div class="corPage"><a href="../data/data.html">What is Data?</a></div>
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<div class="corPage"><a href="../data/survey-questionnaire.html">Survey Questions</a></div>
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<div class="corPage"><a href="../data/survey-conducting.html">How to Do a Survey</a></div>
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<div class="corPage"><a href="../activity/estimation.html">Activity: Estimation</a></div>
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<div class="corPage"><a href="../activity/leaves.html">Activity: Lengths of Leaves</a></div>
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<div class="corPage"><a href="../data/survey-results.html">Showing the Results of a Survey</a></div></div>
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<div class="corCore"><span class="corCode">7.SP.A.2</span><span class="corDescr">Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.</span></div><div class="corPages">
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<div class="corPage"><a href="../data/survey-questionnaire.html">Survey Questions</a></div>
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<div class="corPage"><a href="../data/survey-conducting.html">How to Do a Survey</a></div>
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<div class="corPage"><a href="../activity/estimation.html">Activity: Estimation</a></div>
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<div class="corPage"><a href="../data/survey-results.html">Showing the Results of a Survey</a></div></div>
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<div class="corTitle">Draw informal comparative inferences about two populations.</div>
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<div class="corCore"><span class="corCode">7.SP.B.3</span><span class="corDescr">Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.</span></div><div class="corPages">
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<div class="corPage"><a href="../data/bar-graphs.html">Bar Graphs</a></div>
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<div class="corPage"><a href="../data/bar-graph.html">Make a Bar Graph</a></div>
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<div class="corPage"><a href="../data/mean-machine.html">The Mean Machine</a></div>
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<div class="corPage"><a href="../data/central-measures.html">Finding a Central Value</a></div>
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<div class="corPage"><a href="../mean.html">How to Calculate the Mean Value</a></div>
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<div class="corPage"><a href="../data/survey-results.html">Showing the Results of a Survey</a></div></div>
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<div class="corCore"><span class="corCode">7.SP.B.4</span><span class="corDescr">Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.</span></div><div class="corPages">
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<div class="corPage"><a href="../data/quartiles.html">Quartiles</a></div>
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<div class="corPage"><a href="../data/range.html">The Range</a></div>
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<div class="corPage"><a href="../data/mean-machine.html">The Mean Machine</a></div>
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<div class="corPage"><a href="../data/central-measures.html">Finding a Central Value</a></div>
|
|
<div class="corPage"><a href="../median.html">How to Find the Median Value</a></div>
|
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<div class="corPage"><a href="../mean.html">How to Calculate the Mean Value</a></div>
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<div class="corPage"><a href="../mode.html">How to Calculate the Mode or Modal Value</a></div></div>
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<div class="corTitle">Investigate chance processes and develop, use, and evaluate probability models.</div>
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<div class="corCore"><span class="corCode">7.SP.C.5</span><span class="corDescr">Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.</span></div><div class="corPages">
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<div class="corPage"><a href="../data/probability.html">Probability</a></div>
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<div class="corPage"><a href="../probability_line.html">Probability Line</a></div></div>
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<div class="corCore"><span class="corCode">7.SP.C.6</span><span class="corDescr">Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.</span></div><div class="corPages">
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<div class="corPage"><a href="../data/probability.html">Probability</a></div>
|
|
<div class="corPage"><a href="../probability_line.html">Probability Line</a></div>
|
|
<div class="corPage"><a href="../data/relative-frequency.html">Relative Frequency</a></div>
|
|
<div class="corPage"><a href="../activity/estimation.html">Activity: Estimation</a></div>
|
|
<div class="corPage"><a href="../activity/random-add-multiply.html">Activity: Random or Not?</a></div>
|
|
<div class="corPage"><a href="../activity/buffons-needle.html">Activity: Buffon's Needle</a></div>
|
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<div class="corPage"><a href="../activity/coin-grid.html">Activity: Dropping a Coin onto a Grid</a></div></div>
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<div class="corCore"><span class="corCode">7.SP.C.7</span><span class="corDescr">Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. <br />
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a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.<br />
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b. Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?</span></div><div class="corPages">
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<div class="corPage"><a href="../data/probability.html">Probability</a></div>
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<div class="corPage"><a href="../probability_line.html">Probability Line</a></div>
|
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<div class="corPage"><a href="../puzzles/bags-of-marbles.html">Bags of Marbles Puzzle</a></div>
|
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<div class="corPage"><a href="../data/probability-events-conditional.html">Conditional Probability</a></div>
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<div class="corPage"><a href="../activity/buffons-needle.html">Activity: Buffon's Needle</a></div>
|
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<div class="corPage"><a href="../data/probability-tree-diagrams.html">Probability Tree Diagrams</a></div>
|
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<div class="corPage"><a href="../data/spinner.html">The Spinner - Your Decision Maker</a></div>
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<div class="corPage"><a href="../activity/coin-grid.html">Activity: Dropping a Coin onto a Grid</a></div></div>
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<div class="corCore"><span class="corCode">7.SP.C.8</span><span class="corDescr">Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.<br />
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a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.<br />
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b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.<br />
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c. Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?</span></div><div class="corPages">
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<div class="corPage"><a href="../data/probability.html">Probability</a></div>
|
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<div class="corPage"><a href="../puzzles/bags-of-marbles.html">Bags of Marbles Puzzle</a></div>
|
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<div class="corPage"><a href="../data/probability-events-conditional.html">Conditional Probability</a></div>
|
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<div class="corPage"><a href="../data/probability-tree-diagrams.html">Probability Tree Diagrams</a></div>
|
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<div class="corPage"><a href="../data/probability-events-types.html">Probability: Types of Events</a></div>
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<div class="corPage"><a href="../data/probability-events-independent.html">Probability: Independent Events</a></div></div><p> </p><!-- #EndEditable -->
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