New
New
Year 2

Explain how doubling and halving are related

I can explain how doubling and halving are related.

New
New
Year 2

Explain how doubling and halving are related

I can explain how doubling and halving are related.

Lesson details

Key learning points

  1. If double 4 is 8, then half of 8 is 4
  2. Halving means to partition the number into two equal groups.
  3. Halving is the inverse of doubling.
  4. Whether doubling or halving, we can also see these as our 2 times tables facts.

Common misconception

Children may inaccurately recall related doubling facts to solve halving problems.

Represent each problem as a bar model (as the whole and two equal parts) before solving. Encourage children to check that the two equal parts are equal to the whole.

Keywords

  • Double / Doubling - To become twice as many / to multiply by two.

  • Half / Halving - One of two equal parts of a whole. To divide into two equal parts.

Use the stem sentence, 'If I know ..., then I know ...' to help children see how doubling facts can help solve halving problems. Ensure children are encouraged to use this stem sentence when talking through their approach to a problem.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Which double is being shown here?
An image in a quiz
Correct answer: Double 6
Double 4
Double 5
Q2.
Double 3 tens is ___
An image in a quiz
6
16
Correct answer: 60
Q3.
Double 12 is
Correct Answer: 24
Q4.
Double 40 is
Correct Answer: 80
Q5.
Which of these equations could I use doubling knowledge to solve?
Correct answer: 2 × 6 = ?
Correct answer: 4 × 2 = ?
4 + 2 = ?
Q6.
What is 14 × 2 = ?
Correct Answer: 28

6 Questions

Q1.
Use the bar model to complete the sentence. Half of 8 is equal to
An image in a quiz
Correct Answer: 4, four
Q2.
If I know that half of 6 is equal to 3, then I know that _____________
double 4 is equal to 8
Correct answer: double 3 is equal to 6
double 2 is equal to 4
Q3.
Which facts are represented by this bar model?
An image in a quiz
Double 4 is equal to 8
Correct answer: Double 2 is equal to 4
Half of 6 is equal to 3
Correct answer: Half of 4 is equal to 2
Q4.
Which equation is represented by this bar model?
An image in a quiz
2 × 3 = 6
Correct answer: 2 × 5 = 10
2 × 4 = 8
Q5.
Alex had 4 marbles. He gave half to Jacob. How many marbles did Jacob get? marbles
Correct Answer: 2, two
Q6.
Aisha gave half of her biscuits to Alex. Aisha was left with 6 biscuits. How many biscuits did Aisha have to begin with? biscuits
Correct Answer: 12, twelve