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

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
Tracing snapshot for print
Tip: After you trace your words, write one sentence, such as "A near double is one more than a double." Draw a tiny set of counters to match.

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?

A double is when you add the same number to itself, like 4 + 4.

2) What is 3 + 3?

Double 3 is 6.

3) Which equation is a double?

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

4) What is 5 + 5?

Double 5 is 10.

5) What is 6 + 6?

Double 6 is 12.

6) What is a near double?

A near double uses numbers that are next to each other, like 6 + 7.

7) Which is a near double?

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?

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

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

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?

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?

5 + 5 is a double and 5 + 6 is a near double.

12) Which picture would best show 4 + 4?

A double can be shown as two equal rows of 4.

13) Why are doubles and near doubles helpful?

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 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 one less than 9 + 9, so it is a near double just below 18.

Assessment (parent/teacher)

Exit ticket (student)

Next time I will practise…

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