# Lesson 93: Doubles and near doubles

🧮 MATH (40 Lessons) • 🔵 B. Addition and Subtraction

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## Objective

I can use doubles and near doubles to add within 20. I can show my thinking with pictures, counters, or a number line.

## Materials

- Small counters (blocks, beads, or buttons)
- Number line from 0 to 20 (on paper or a card strip)
- Pencil and notebook or scrap paper

## Mini-lesson — Doubles and near doubles

A double is when you add the same number to itself.

- 2 + 2, 4 + 4, and 7 + 7 are doubles.
- We can say "double 2", "double 4", or "double 7".

Examples of doubles

- 3 + 3 = 6
- 5 + 5 = 10
- 6 + 6 = 12
- 8 + 8 = 16

A near double is when the two numbers are next to each other (one apart), like 6 and 7.

- 6 + 7 is near the double 6 + 6.
- 7 + 8 is near the double 7 + 7.

Use a double to help with a near double

- Start with the double you know.
- Then add one more to find the near double.

Example: 6 + 7

- Double 6 is 6 + 6 = 12.
- 6 + 7 is one more than 12.
- So 6 + 7 = 13.

Example: 7 + 8

- Double 7 is 7 + 7 = 14.
- 7 + 8 is one more than 14.
- So 7 + 8 = 15.

In this lesson we stay within 20. We will use doubles and near doubles to make adding faster and easier.

Picture strip: Doubles and near doubles

Doubles — 4 + 4

Near double — 7 + 8

## Guided Practice — Use doubles and near doubles

You will use counters and a number line to practise doubles and near doubles. Then you will use the tracing pad to write key words.

1. Warm-up doubles: Use counters to make 3 + 3, 4 + 4, 5 + 5, and 6 + 6. Say each double and its sum.
2. Show on the number line: For one double, like 6 + 6, start at 6 and jump 6 steps to the right. Land on 12.
3. Try a near double: Use counters to make 6 + 7. Compare it with your counters for 6 + 6. How many more does 6 + 7 have?
4. Use the double to help: Say "Double 6 is 12, so 6 + 7 is one more: 13."
5. Another near double: Make 7 + 8. Think "double 7" (7 + 7 = 14) and then one more. Write 7 + 8 = 15.
6. Record in your notebook: Write a line: "Double 6 is 12. 6 + 7 is 13." Add a tiny picture of counters or a number line jump.
7. Use the tracing pad: Trace words like double, near, or more. You can also trace one of your numbers, such as 6, 7, or 8.

Tracing Pad
Lines
Trace
Pen

## Practice 1 — Doubles within 20

[PLACEHOLDER PRACTICE 1]

## Practice 2 — Near doubles

[PLACEHOLDER PRACTICE 2]

## Practice 3 — Use doubles to add

[PLACEHOLDER PRACTICE 3]

## Quick Check — Doubles and near doubles

Answer each question about doubles and near doubles. You may use counters or a number line to help you.

1) What is a double?

Adding three numbers together Adding the same number to itself Taking away from a number
A double is when you add the same number to itself, like 4 + 4.

2) What is 3 + 3?

6 5 9
Double 3 is 6.

3) Which equation is a double?

4 + 5 5 + 6 7 + 7
7 + 7 uses the same number twice, so it is a double.

4) What is 5 + 5?

9 10 12
Double 5 is 10.

5) What is 6 + 6?

10 11 12
Double 6 is 12.

6) What is a near double?

A fact that is one more or one less than a double A fact that uses three numbers A subtraction fact
A near double uses numbers that are next to each other, like 6 + 7.

7) Which is a near double?

4 + 8 6 + 7 2 + 5
6 and 7 are next-door numbers, so 6 + 7 is a near double.

8) Double 7 is 7 + 7 = 14. What is 7 + 8?

13 14 15
7 + 8 is one more than 14, so it is 15.

9) Double 6 is 12. What is 6 + 7?

13 12 14
6 + 7 is one more than 12, so it is 13.

10) Double 8 is 16. Which equation is a near double that is one less than this?

8 + 9 7 + 8 6 + 8
7 + 8 is one less than 8 + 8, so it is a near double just below 16.

11) Which set shows a double and its near double?

4 + 5 and 2 + 3 3 + 4 and 5 + 6 5 + 5 and 5 + 6
5 + 5 is a double and 5 + 6 is a near double.

12) Which picture would best show 4 + 4?

A row of 4 stars and a row of 3 stars A row of 4 stars and a row of 4 stars A row of 8 stars
A double can be shown as two equal rows of 4.

13) Why are doubles and near doubles helpful?

They help us add quickly in our heads. They only work for subtraction. They make the numbers smaller.
Knowing doubles and near doubles makes mental addition faster.

14) A student says: "Double 4 is 8, so 4 + 5 is 9." What did they do?

They subtracted 1 They guessed They used a double and then added one more
They used the double they knew (4 + 4 = 8) and added one more to get 9.

15) Double 9 is 18. Which sentence shows a good way to think about 9 + 8?

"9 + 8 is 9 less than 18." "9 + 8 is one less than double 9." "9 + 8 is the same as 9 + 9."
9 + 8 is one less than 9 + 9, so it is a near double just below 18.

## Assessment (parent/teacher)

Student can recall simple doubles within 20. Student can identify near doubles (numbers that are one apart). Student can use doubles to help solve near-double facts. Student can show doubles and near doubles with counters or a number line. Student can explain in words how they used a double or near double to find an answer.

## Exit ticket (student)

😀 I can use doubles and near doubles easily. 🙂 I can use some doubles and near doubles but still need more practice. 😅 Doubles and near doubles still feel tricky for me.

#### Next time I will practise…

Doubles facts Near doubles facts Using doubles to add quickly
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