🔢 MathGrade 2Lesson 17
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Learn Concept of Repeated Addition

Lesson preview: the Mini Lesson and Vocabulary are open to everyone. Guided practice, exercises, the parent checklist and the printable PDF worksheet come with full access (free 7-day trial or membership).

What you will learn

  • 1Recognize equal groups in a dot picture
  • 2Write a repeated addition sentence for equal groups
  • 3Find the total of a repeated addition sentence
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Mini Lesson

Welcome to a brand-new planet — Multiplication and Division Basics! We begin by seeing where multiplication comes from. It starts with repeated addition: adding the same number over and over.

What is repeated addition?

  • When you add the same number several times, that is repeated addition.
  • Example: 3 groups of 4 dots → 4 + 4 + 4 = 12.
  • The number being repeated is the group size. The number of times you add it is the number of groups.

Reading a dot picture

  • Count how many groups there are.
  • Count how many dots are in each group (they should all be the same).
  • Write: [group size] + [group size] + ... (one addend per group).
  • Add them all up to find the total.

Examples

  • 2 groups of 5 → 5 + 5 = 10
  • 3 groups of 3 → 3 + 3 + 3 = 9
  • 4 groups of 2 → 2 + 2 + 2 + 2 = 8
  • 5 groups of 4 → 4 + 4 + 4 + 4 + 4 = 20

Words to know

Repeated addition

Adding the same number over and over

e.g. 4 + 4 + 4 = 12 is repeated addition.

Equal groups

Groups that all have the same number of items

e.g. Three equal groups of four make twelve.

Group size

How many items are in each group

e.g. The group size is 4.

Number of groups

How many groups there are

e.g. There are 3 groups in the picture.

Total

The amount when you add everything together

e.g. The total of three fours is twelve.

Three groups of 4 dots showing repeated additionThree boxed groups, each containing 4 dots in a 2 by 2 arrangement. Below: the repeated addition sentence 4 plus 4 plus 4 equals 12.3 groups of 44 dots4 dots4 dots++4 + 4 + 4 = 12number of groups: 3group size: 4total: 12
Three groups of 4 blue dots, each in a box, with plus signs between them. The repeated addition sentence 4 + 4 + 4 = 12 is shown below.
Four repeated addition examplesFour rows: 2 groups of 5 equals 10; 3 groups of 3 equals 9; 4 groups of 2 equals 8; 5 groups of 4 equals 20.More Examples2 groups of 5:5 + 5 = 10= 103 groups of 3:3 + 3 + 3 = 9= 94 groups of 2:2 + 2 + 2 + 2 = 8= 85 groups of 4:4+4+4+4+4 = 20= 20
Four color-coded repeated addition examples — 2 groups of 5, 3 groups of 3, 4 groups of 2, and 5 groups of 4 — each showing groups, sentence, and total.
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Ask yourself: "How many groups are there? How many dots in each group? Now add the same number that many times!"

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← Lesson 16: Play Math Fact GamesLesson 18: Make Equal Groups →