7th grade integer operations

Quick answer

In 7th grade (ages 12–13), students add, subtract, multiply and divide positive and negative numbers, including fractions and decimals. This playlist starts with Math Antics' "Negative Numbers", then works through each operation with Math with Mr. J and Khan Academy. Put a sign rule on repeat with an A–B loop until it sticks.

Play all on repeat

Videos in this playlist

  1. 1Math Antics - Negative NumbersMath Antics - Negative NumbersmathanticsPlay from here Loop
  2. 2Math Antics - Adding & Subtracting IntegersMath Antics - Adding & Subtracting IntegersmathanticsPlay from here Loop
  3. 3Adding Integers Explained | How to Add Integers | Math with Mr. JAdding Integers Explained | How to Add Integers | Math with Mr. JMath with Mr. JPlay from here Loop
  4. 4Adding Integers Using a Number Line | Math with Mr. JAdding Integers Using a Number Line | Math with Mr. JMath with Mr. JPlay from here Loop
  5. 5Adding and subtracting negative numbers | Pre-Algebra | Khan AcademyAdding and subtracting negative numbers | Pre-Algebra | Khan AcademyKhan AcademyPlay from here Loop
  6. 6Adding negative numbers on number line examples | 7th grade | Khan AcademyAdding negative numbers on number line examples | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  7. 7Subtracting Integers Explained | How to Subtract Integers | Math with Mr. JSubtracting Integers Explained | How to Subtract Integers | Math with Mr. JMath with Mr. JPlay from here Loop
  8. 8Subtracting a negative = adding a positive | Pre-Algebra | Khan AcademySubtracting a negative = adding a positive | Pre-Algebra | Khan AcademyKhan AcademyPlay from here Loop
  9. 9Adding and Subtracting Integers: A Step-By-Step Review | How to Add and Subtract IntegersAdding and Subtracting Integers: A Step-By-Step Review | How to Add and Subtract IntegersMath with Mr. JPlay from here Loop
  10. 10Adding and subtracting fractions with negatives | 7th grade | Khan AcademyAdding and subtracting fractions with negatives | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  11. 11Math Antics - Integer Multiplication & DivisionMath Antics - Integer Multiplication & DivisionmathanticsPlay from here Loop
  12. 12Multiplying Integers Explained | How to Multiply Integers | Math with Mr. JMultiplying Integers Explained | How to Multiply Integers | Math with Mr. JMath with Mr. JPlay from here Loop
  13. 13Multiplying positive and negative numbers | Pre-Algebra | Khan AcademyMultiplying positive and negative numbers | Pre-Algebra | Khan AcademyKhan AcademyPlay from here Loop
  14. 14Why a negative times a negative is a positive | Pre-Algebra | Khan AcademyWhy a negative times a negative is a positive | Pre-Algebra | Khan AcademyKhan AcademyPlay from here Loop
  15. 15Dividing positive and negative numbers | Pre-Algebra | Khan AcademyDividing positive and negative numbers | Pre-Algebra | Khan AcademyKhan AcademyPlay from here Loop
  16. 16Multiplying and dividing even and odd numbers of negatives | 7th grade | Khan AcademyMultiplying and dividing even and odd numbers of negatives | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  17. 17Multiplying and Dividing Integers: A Step-By-Step Review | How to Multiply and Divide IntegersMultiplying and Dividing Integers: A Step-By-Step Review | How to Multiply and Divide IntegersMath with Mr. JPlay from here Loop
  18. 18Dividing negative fractions | Fractions | Pre-Algebra | Khan AcademyDividing negative fractions | Fractions | Pre-Algebra | Khan AcademyKhan AcademyPlay from here Loop
  19. 19Arithmetic properties with negative numbers | 7th grade | Khan AcademyArithmetic properties with negative numbers | 7th grade | Khan AcademyKhan AcademyPlay from here Loop
  20. 20Order of Operations with Integers | Math with Mr. JOrder of Operations with Integers | Math with Mr. JMath with Mr. JPlay from here Loop
  21. 21How to Add, Subtract, Multiply, and Divide Integers | A Review of Integers | Math with Mr. JHow to Add, Subtract, Multiply, and Divide Integers | A Review of Integers | Math with Mr. JMath with Mr. JPlay from here Loop
  22. 22Rational number word problem with fractions | Pre-Algebra | Khan AcademyRational number word problem with fractions | Pre-Algebra | Khan AcademyKhan AcademyPlay from here Loop
  23. 23Rational number word problem with decimals | Pre-Algebra | Khan AcademyRational number word problem with decimals | Pre-Algebra | Khan AcademyKhan AcademyPlay from here Loop
  24. 24Integers | Adding, Subtracting, Multiplying & Dividing | Lesson + PracticeIntegers | Adding, Subtracting, Multiplying & Dividing | Lesson + PracticeMath with Mr. JPlay from here Loop

What should a 7th grader be able to do after this unit?

They should add and subtract integers on a number line, explain why subtracting a negative is the same as adding, apply the sign rules for multiplying and dividing, and use these rules with fractions, decimals and simple word problems.

Why loop a short part of an integer lesson?

The tricky moments are brief, such as why a negative times a negative is positive. Loop just that explanation with A–B, slow it to 0.75×, and let it replay. Stop after N loops ends the session so practice stays short.

Frequently asked questions

Which video explains why a negative times a negative is positive?

Khan Academy's "Why a negative times a negative is a positive" walks through the reasoning, and Math Antics' "Integer Multiplication & Division" shows the sign rules with simple examples. Watching both back to back can help.

Do all schools teach this in 7th grade?

No. Grade levels vary by country and school. In the US, negative numbers are introduced in 6th grade and operations with them are covered in 7th grade (ages 12–13). Elsewhere the timing can be different.