All the Ways to Make 6 and 7

Step 1: Let's Learn

Read it, or press Listen and follow the words.

There is more than one way to make 6. There are seven ways in all.

Go in order

Start with 0 in the first tray. Then 1. Then 2. You will not miss any.

Work in order so you find them all

Start with 0 and 6, then 1 and 5, then 2 and 4. Going in order is how you know when you have finished, instead of hoping you have.

One side grows, the other shrinks

Every time the first part goes up by one, the second goes down by one. It has to, or the whole would change.

Step 2: Try It Yourself

Find every way. The gallery fills as you go.

Move the blocks to find every way to make 6.

First tray

Empty

Tap one to move it across

Second tray

Tap one to move it back

0 and 6 make 6.

Ways to make 6

0 of 7 found

Blocks in all

First tray

Step 3: Watch an Example

Watch how to find them in order.

Watch Ana Find Them in Order

Ana finds every way to make 6 without missing one.

Step 1
She starts with 0 blocks in the first tray. That leaves 6.

Step 4: Your Turn

Practice makes it stick.

Two Pockets

Problem 1 of 1

Sam has 7 marbles in two pockets. One pocket has 5. How many are in the other?

Now Try 7

Change the whole to 7. How many ways will there be? Find them all.

First tray

Empty

Tap one to move it across

Second tray

Tap one to move it back

0 and 7 make 7.

Ways to make 7

0 of 8 found

Blocks in all

First tray

Step 5: Quick Check

Show what you know.

Question 1 of 2

4 and what make 6?

Question 2 of 2

3 and what make 7?

What You Learned

A number can be split many ways.
Going in order helps you find them all.
2 and 4 makes 6, and so does 4 and 2.