Learn Math ยป Grade 3 ยป

Multiplication and Division

โœ–๏ธโž— Multiplication and Division

Multiplication & Division allows students to learn about two fundamental operations in math. They help children understand how to work with numerous numbers and how to break down each number into the same pieces. Helping students learn to multiply and divide trains their number sense, helps prepare them for more difficult math, and improves their ability to solve problems. Letting children see and practice these skills with drawings and examples from daily life helps them learn.

Equal Groups

Children are taught that pictures and symbols can stand for certain amounts of data. Pictographs help make understanding amounts and spotting trends very easy. Using pictographs helps strengthen skills in counting, putting things in order, and making logical conclusions. Activities like making pictographs of favorite things help children make the learning experience more fun.

โญ What Are Equal Groups?

Equal groups are groups that have the same number of items in each.

We use equal groups to help us understand multiplication and division!

๐Ÿง Example 1: Equal Groups with Pictures

Imagine you have 12 cupcakes, and you want to share them equally among 3 friends.

You can make 3 equal groups:

  • Group 1: ๐Ÿง๐Ÿง๐Ÿง๐Ÿง
  • Group 2: ๐Ÿง๐Ÿง๐Ÿง๐Ÿง
  • Group 3: ๐Ÿง๐Ÿง๐Ÿง๐Ÿง

Each friend gets 4 cupcakes.
โœ… 12 cupcakes รท 3 = 4 cupcakes in each group

๐ŸŽ Example 2: Using Multiplication

Letโ€™s say you see 4 plates, and each plate has 5 apples.

We can say:

4 equal groups of 5 apples = ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ + ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ + ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ + ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ
โœ… Thatโ€™s 4 ร— 5 = 20 apples

๐Ÿ’ก Tip: How to Spot Equal Groups

Look for clues like:

  • "Each group has the same number"
  • "Shared equally"
  • "Groups of..."

๐Ÿง  Why Is This Important?

Understanding equal groups helps you:

  • Learn multiplication and division
  • Solve word problems
  • Think logically and organize information
1. You have 12 apples. How many groups of 4 can you make?
2. You have 20 blocks and want 5 blocks per group. How many groups?

Multiplication works with groups of the same value, and division splits into equal pieces. Use toys or food to make learning fun!

1. You have 12 apples. How many groups of 4 can you make?
2. You have 20 blocks and want 5 blocks per group. How many groups?

Times Tables

Multiplication facts are one of the first things kids practice, often learning 2s, 5s, and 10s to begin with. Guide kids through skip counting using songs, rhythms, and fun games. Knowing one s times tables well makes it quicker and easier to handle bigger numbers. When something is done repeatedly or in a pattern, it helps children connect it to multiplication.

โœ–๏ธ What Are Times Tables?

Times tables are lists that help you learn multiplication quickly.

They show how to add the same number again and again.

โœ… Multiplication is just repeated addition!

๐Ÿ• Example: 3 Times Table

Letโ€™s look at the 3 times table:

  • 1 ร— 3 = 3 โ†’ 1 group of 3 = ๐Ÿ•๐Ÿ•๐Ÿ•
  • 2 ร— 3 = 6 โ†’ 2 groups of 3 = ๐Ÿ•๐Ÿ•๐Ÿ• + ๐Ÿ•๐Ÿ•๐Ÿ•
  • 3 ร— 3 = 9 โ†’ 3 groups of 3 = ๐Ÿ•๐Ÿ•๐Ÿ• + ๐Ÿ•๐Ÿ•๐Ÿ• + ๐Ÿ•๐Ÿ•๐Ÿ•

So,
๐Ÿ“˜ 3 ร— 1 = 3
๐Ÿ“˜ 3 ร— 2 = 6
๐Ÿ“˜ 3 ร— 3 = 9
...and so on!

๐ŸŽต Fun Trick: Use Rhythms or Songs

You can sing or chant your times tables to help you remember!

๐ŸŽถ "One times three is three... Two times three is six..."

๐Ÿง  Why Learn Times Tables?

Knowing your times tables helps you:

  • Solve problems faster
  • Do division easily
  • Understand math patterns
  • Build math confidence!

๐Ÿงฉ Times Table Patterns

Times tables often follow cool patterns!

Example:
โœ… 5 times table always ends in 0 or 5:
5, 10, 15, 20, 25...

โœ… 10 times table always ends in 0:
10, 20, 30, 40...

๐ŸŽฏ Quick Practice

Try these:

  • What is 4 ร— 2?
  • What is 6 ร— 5?
  • What is 9 ร— 3?

๐Ÿ”ข Tip: Practice One Table at a Time

Start with easy ones like:
โœ… 2, 5, and 10
Then try:
โœ… 3, 4, 6, 7, 8, 9

1. What comes next? 2, 4, 6, ___
2. Which number is in the 5 times table?

Division as Sharing

They learn to divide evenly by dividing their resources between different groups, which helps them see how division is used daily. It helps students to use counters, draw pictures, or make bar models. This process of division as sharing gives students a fairness lesson, leading to understanding the meaning of remainders. It also helps you make the link between multiplication and division.

โž— What Is Division as Sharing?

Division as sharing means splitting something equally between groups.

โœ… Everyone gets the same amount!

It helps us answer questions like:
โ€œIf I share 12 apples with 3 friends, how many does each friend get?โ€

๐ŸŽ Example 1: Sharing Apples

You have 12 apples ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ
You want to share them equally with 3 friends.

So, you make 3 equal groups:

  • Friend 1: ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ
  • Friend 2: ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ
  • Friend 3: ๐ŸŽ๐ŸŽ๐ŸŽ๐ŸŽ

Each friend gets 4 apples.
โœ… This is 12 รท 3 = 4

๐Ÿง Example 2: Sharing Cupcakes

You baked 10 cupcakes. You want to give them to 5 children equally.

Ask: How many cupcakes does each child get?

10 รท 5 = 2
โœ… Each child gets 2 cupcakes ๐Ÿง๐Ÿง

๐ŸŽฏ Division as Sharing = Equal Groups

Itโ€™s the opposite of multiplication. If multiplication puts things into equal groups, division takes a big group and splits it equally.

๐Ÿ’ก Tip: Use Pictures or Counters

Drawing or using objects makes it easier to understand. You can use coins, blocks, marbles โ€” anything fun!

๐Ÿง  Why Learn This?

Understanding division as sharing helps you:

  • Divide numbers easily
  • Solve word problems
  • Think logically about fair sharing

โœ… Practice Time!

Share 8 pencils equally among 4 kids. How many does each get?

15 cookies are shared among 5 friends. How many per friend?

1. 15 cookies shared among 5 friends. How many per friend?
2. You have 24 pencils to share equally in 6 boxes. How many per box?