Common Core Math: Grade 7: Number System

In seventh grade, students add, subtract, multiply and divide rational numbers, which include fractions, decimals and negative numbers. Students understand negative numbers as the opposites, or additive inverses, of positive numbers and understand that subtraction is equivalent to addition with an additive inverse. Students use number lines to visualize addition and subtraction with negative numbers and explore patterns in multiplication and division with negative numbers.

Common Core Standards

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Multiplication & Division

Perform multiplication and division.

Multiply rational numbers (CCSS.Math.Content.7.NS.A.2a):

Divide rational numbers (CCSS.Math.Content.7.NS.A.2b):

Recognize patterns in multiplication and division (CCSS.Math.Content.7.NS.A.2):

Perform multiple operations with rational numbers (CCSS.Math.Content.7.NS.A.2):

Addition & Subtraction

Perform addition and subtraction.

Combine opposites to get zero (CCSS.Math.Content.7.NS.A.1a):

Add rational numbers (CCSS.Math.Content.7.NS.A.1):

Subtract rational numbers (CCSS.Math.Content.7.NS.A.1):

Decimals

Express rational numbers in decimal form.

Convert a rational number to a decimal (CCSS.Math.Content.7.NS.A.2d):

Perform operations with decimals (CCSS.Math.Content.7.NS.A.2):