CROSSWalk. for the Co on Core State Standards

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1 Mathematics Grade 7 CROSSWalk for the Co on Core State Standards

2 Table of Contents Common Core State Standards Correlation Chart... 6 Domain 1 The Number System Domain 1: Diagnostic Assessment for Lessons Lesson 1 Relate Fractions, Decimals, and Percents Lesson 2 Solve Problems with Percents...22 Lesson 3 Terminating and Repeating Decimals...29 Lesson 4 Add and Subtract Rational Numbers...33 Lesson Multiply and Divide Rational Numbers...40 Lesson 6 Complex Fractions...48 Lesson 7 Add and Subtract Integers...4 Lesson 8 Multiply and Divide Integers...62 Domain 1: Cumulative Assessment for Lessons Domain 2 Ratios and Proportional Relationships Domain 2: Diagnostic Assessment for Lessons Lesson 9 Ratios and Rates...74 Lesson 10 Proportions...79 Common Core State Standards 7.RP.3 7.RP.3 7.NS.2.d 7.NS.1.b, 7.NS.1.d, 7.NS.3 7.NS.2.a, 7.NS.2.c, 7.NS.3 7.RP.1, 7.RP.3 7.NS.1.a, 7.NS.1.b, 7.NS.1.c, 7.NS.1.d, 7.NS.3 7.NS.2.a, 7.NS.2.b, 7.NS.2.c, 7.NS.3 7.RP.1, 7.RP.2.c 7.RP.2.a Lesson 11 Proportional Relationships...84 Lesson 12 Represent Proportional Relationships...89 Domain 2: Cumulative Assessment for Lessons Domain 3 Expressions and Equations...97 Domain 3: Diagnostic Assessment for Lessons Lesson 13 Write Algebraic Expressions... Lesson 14 Simplify and Evaluate Algebraic Expressions.. 10 Lesson 1 Add and Subtract Algebraic Expressions Lesson 16 Write Algebraic Equations Lesson 17 Use Algebra to Solve Word Problems RP.2.a, 7.RP.2.b, 7.RP.3 7.RP.2.a, 7.RP.2.b, 7.RP.2.c, 7.RP.2.d 7.EE.2, 7.EE.4 7.EE.1 7.EE.1 7.EE.2, 7.EE.4 7.EE.3, 7.EE.4.a 4

3 Lesson 18 Inequalities Domain 3: Cumulative Assessment for Lessons Domain 4 Geometry Domain 4: Diagnostic Assessment for Lessons Lesson 19 Similar Figures Common Core State Standards 7.EE.4.b 7.G.1 Lesson 20 Scale Drawings G.1 Lesson 21 Construct Geometric Shapes Lesson 22 Cross Sections of Three-Dimensional Figures...19 Lesson 23 Circles G.2 7.G.3 7.G.4 Lesson 24 Angles Lesson Area Lesson 26 Surface Area Lesson 27 Volume Domain 4: Cumulative Assessment for Lessons G. 7.G.6 7.G.6 7.G.6 Domain Statistics and Probability...19 Domain : Diagnostic Assessment for Lessons Lesson 28 Probability Lesson 29 Compound Events Lesson 30 Samples Lesson 31 Measures of Central Tendency Lesson 32 Measures of Variation Lesson 33 Mean Absolute Deviation Lesson 34 Make Predictions Using Data Lesson 3 Compare Data Sets Domain : Cumulative Assessment for Lessons Glossary...8 Summative Assessment: Domains Math Tools SP., 7.SP.6, 7.SP.7.a, 7.SP.7.b 7.SP.8.a, 7.SP.8.b, 7.SP.8.c 7.SP.1, 7.SP.2 7.SP.4 7.SP.4 7.SP.3 7.SP.2, 7.SP.4 7.SP.3, 7.SP.4

4 Domain 1 Lesson 1 Relate Fractions, Decimals, and Percents Common Core State Standard: 7.RP.3 Getting the Idea Rational numbers are numbers that can be expressed in the form a, where a and b are b integers and b fi 0. Fractions, decimals, and percents are rational numbers that can be used to show parts of a whole. Percent means per hundred. For example, 70% of a number means 70 times the quantity. The symbol for percent is %. You can convert rational numbers to different forms. To convert a percent to a fraction, write the percent as the numerator over a denominator of. Then simplify the fraction using the greatest common factor (GCF). Example 1 Write 72% as a fraction in simplest form. Write the percent as a fraction with a denominator of. Simplify. Step 2 Solution 72% 18 Remove the percent sign. Write the percent as the numerator and as the denominator. 72% 72 Simplify the fraction using the GCF. The GCF of 72 and is 4. Divide the numerator and denominator by Example 2 What is 84% written as a decimal? Remove the percent sign and move the decimal point two places to the left. 84% Solution 84%

5 Example 3 What is 2 written as a decimal? Write an equivalent fraction with a denominator of 10. Lesson 1: Relate Fractions, Decimals, and Percents Find a fraction equivalent to 2 that has a denominator of 10. Since , multiply the numerator and denominator by Step 2 Write the decimal equivalent of is read four tenths Solution Example 4 Write 0.6 as a fraction in simplest form. Write the digits after the decimal point as the numerator. The denominator is the place value of the last digit. Simplify. Step 2 Solution Write the digits 6 as the numerator of the fraction. The denominator is because the last digit,, is in the hundredths place Simplify using the GCF. The GCF of 6 and is

6 To convert a decimal to a percent, multiply the decimal by and insert a percent sign. Multiplying a decimal by is the same as moving the decimal point 2 places to the right. Example What is 0.87 written as a percent? Multiply the decimal by. Move the decimal point two places to the right Insert a percent sign. 87.% Solution % Example 6 Write 16 as a percent. Write an equivalent fraction. Step 2 Solution Percent means per hundred, so write an equivalent fraction with a denominator of. 3 4, so multiply the numerator and denominator by Insert a percent sign next to the numerator % 64% 18 Domain 1: The Number System

7 Lesson 1: Relate Fractions, Decimals, and Percents If the denominator is not a factor of, convert the fraction to a decimal. Then convert the decimal to a percent. Some decimals, such as 1, are repeating decimals. 3 To write a repeating decimal as a percent, write the percent and the part that repeats as a fraction. Example 7 What is 2 written as a percent? 3 Convert the fraction to a decimal. Then convert the decimal to a percent. Divide the numerator by the denominator Step 2 Multiply the decimal by Solution Insert a percent sign % or % % Coached Example Maria received % of the vote in a student council election. What decimal and fraction, written in simplest form, are equivalent to the amount of the vote Maria received? To convert a percent to a decimal, remove the percent sign and move the decimal point 2 places to the. The decimal is equivalent to %. To convert a percent to a fraction, write the percent as the numerator over a denominator of. What is the GCF of the numerator and denominator? Divide the numerator and denominator by. Simplify. % written as a decimal is. % written as a fraction is. 19

8 Lesson Practice Choose the correct answer. 1. About 60.7% of eligible voters voted in the election. Which decimal is equivalent to 60.7%? A B C D Tomas correctly spelled 18 out of 20 words on his last spelling quiz. What decimal represents the portion of the words that Tomas spelled correctly? A B C. 0.8 D In a survey of patients, Dr. Molar found that 8% of his patients floss daily. Which fraction is equivalent to 8%? A. 4_ B. 2_ C. 4 D Kristen made _ 3 of her free throws for the 8 season. Which percent is equivalent to _ 3 8? A. 37.% B. 38% C. 38.% D. 37%. Which fraction is equivalent to 48%? A. 4_ B. 4_ 8 C. 12 D Sales at Cycle time increased by 370% this year. Which of the following is equivalent to 370%? 37 A. B. 3.7 C. 3 7 D Domain 1: The Number System

9 Lesson 1: Relate Fractions, Decimals, and Percents 7. Which rational number is not equivalent to the others? A. 7% B. 3_ 4 C. 0.7 D Which of the following shows a set of equivalent rational numbers? A. 2_ 0.4 % B. 2_ % C % 73 D % 9. The Lions won 3 out of 40 games this season. A. What fraction of games played did the Lions win? Write your answer in simplest form. B. Write a decimal and a percent equivalent to the fraction of games the Lions won. Show your work. 21

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