Lesson 11 | Operations with Rational Numbers | 7th Grade Mathematics

Objective

Use properties of operations to add and subtract rational numbers efficiently.

Lesson Map

Topic A: Adding and Subtracting Rational Numbers

Lesson

Represent rational numbers on the number line. Define opposites, absolute value, and rational numbers.

Standards

7.NS.A.1

Lesson

Compare and order rational numbers. Write and interpret inequalities to describe the order of rational numbers.

Standards

7.NS.A.1

Lesson

Describe situations in which opposite quantities combine to make zero.

Standards

7.NS.A.1.A7.NS.A.1.B

Lesson

Model the addition of integers.

Standards

7.NS.A.1.B7.NS.A.1.D

Lesson

Investigate ways to efficiently add integers.

Standards

7.NS.A.1.B7.NS.A.1.D

Lesson

Reason about sums of rational numbers.

Standards

7.NS.A.1.B7.NS.A.1.D

Lesson

Solve real-life problems involving addition with rational numbers.

Standards

7.NS.A.1.B7.NS.A.1.D7.NS.A.3

Lesson

Investigate subtraction with integers using various representations.

Standards

7.NS.A.1.C7.NS.A.1.D

Lesson

Find and represent the distance between two rational numbers as the absolute value of their difference.

Standards

7.NS.A.1.C

Lesson

Reason about subtraction with rational numbers.

Standards

7.NS.A.1.D

Lesson

Use properties of operations to add and subtract rational numbers efficiently.

Standards

7.NS.A.1.D

Topic B: Multiplying and Dividing Rational Numbers

Lesson

Determine the rules for multiplying signed numbers.

Standards

7.NS.A.2.A7.NS.A.2.C

Lesson

Multiply signed rational numbers and interpret products in real-world contexts.

Standards

7.NS.A.2.A7.NS.A.2.C

Lesson

Investigate and articulate the rules for dividing signed numbers.

Standards

7.NS.A.2.B7.NS.A.2.C

Lesson

Divide signed rational numbers and interpret quotients in real-world contexts.

Standards

7.NS.A.2.B7.NS.A.2.C

Lesson

Convert rational numbers to decimals using long division and equivalent fractions.

Standards

7.NS.A.2.D

Lesson

Use the properties of operations to efficiently multiply and divide with rational numbers.

Standards

7.NS.A.27.NS.A.2.C

Topic C: Using all Four Operations with Rational Numbers

Lesson

Solve problems with rational numbers and all four operations.

Standards

7.NS.A.3

Operations with Rational Numbers

Objective

Lesson Map

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Operations with Rational Numbers

Objective

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