Module Two: Rational Numbers
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Standards for Lessons 1-9:
7.NS.1 Apply and extend previous understanding of addition and subtraction to add and subtract rational numbers, using the properties of operations,
and describing real-world contexts using sums and differences.
Previous Grade Standards: 6.NS.5, 6.NS.6a, 6.NS.7c, 5.NF.1
7.NS.1 Apply and extend previous understanding of addition and subtraction to add and subtract rational numbers, using the properties of operations,
and describing real-world contexts using sums and differences.
Previous Grade Standards: 6.NS.5, 6.NS.6a, 6.NS.7c, 5.NF.1
7. NS.2aFormer 8th Grade Standard
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Standard for Lessons 10-16: 7.NS.2 Apply and extend previous understandings of multiplication and division.
b. Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the
product and quotient in real-world contexts.
Standard for Lesson 14: 7.NS.2 Apply and extend previous understandings of multiplication and division.
c. Use division and previous understandings of fractions and decimals.
▫ Convert a fraction to a decimal using long division.
▫ Understand that the decimal form of a rational number terminates in 0s or eventually repeats.
Previous Grade Standards: 5.NF.4, 6.NS.1
Standard for Lesson 15: 7.NS.3 Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four
operations.
Previous Grade Standards: 4.OA.3, 6.NS.3
b. Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the
product and quotient in real-world contexts.
Standard for Lesson 14: 7.NS.2 Apply and extend previous understandings of multiplication and division.
c. Use division and previous understandings of fractions and decimals.
▫ Convert a fraction to a decimal using long division.
▫ Understand that the decimal form of a rational number terminates in 0s or eventually repeats.
Previous Grade Standards: 5.NF.4, 6.NS.1
Standard for Lesson 15: 7.NS.3 Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four
operations.
Previous Grade Standards: 4.OA.3, 6.NS.3
Tips for Parents, Topic C | |
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Standard for Lessons 17, 22, 23: 7.EE.4a Use variables to represent quantities to solve real-world or mathematical problems.
a. Construct equations to solve problems by reasoning about the quantities.
▫ Fluently solve multistep equations with the variable on one side, including those generated by word problems.
▫ Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
▫ Interpret the solution in context.
Standard for Lessons 18, 19: 7.EE.2 Understand that equivalent expressions can reveal real-world and mathematical relationships. Interpret the meaning of the parts of each expression in context.
Standard for Lessons 18-20: 7.NS.3 Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four
operations.
Previous Grade Standards: 4.OA.3, 6.NS.3
a. Construct equations to solve problems by reasoning about the quantities.
▫ Fluently solve multistep equations with the variable on one side, including those generated by word problems.
▫ Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
▫ Interpret the solution in context.
Standard for Lessons 18, 19: 7.EE.2 Understand that equivalent expressions can reveal real-world and mathematical relationships. Interpret the meaning of the parts of each expression in context.
Standard for Lessons 18-20: 7.NS.3 Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four
operations.
Previous Grade Standards: 4.OA.3, 6.NS.3
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