Lesson 1 | Operations with Rational Numbers | 7th Grade Mathematics

Objective

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

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.A

Lesson

Model the addition of integers using a number line.

Standards

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

Lesson

Determine efficient ways to add rational numbers with and without the number line.

Standards

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

Lesson

Efficiently add and reason about sums of rational numbers.

Standards

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

Lesson

Understand subtraction as addition of the opposite value (or additive inverse).

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

Subtract rational numbers with and without the number line.

Standards

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

Lesson

Add and subtract rational numbers efficiently using properties of operations.

Standards

7.NS.A.1.D

Lesson

Add and subtract rational numbers using a variety of strategies.

Standards

7.NS.A.17.NS.A.1.A7.NS.A.1.B7.NS.A.1.C7.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

Determine 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

Multiply and divide with rational numbers using properties of operations.

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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