New
New
Year 5

Use estimation to support accurate calculation

I can use estimation to support accurate calculation

New
New
Year 5

Use estimation to support accurate calculation

I can use estimation to support accurate calculation

Lesson details

Key learning points

  1. Use times tables and place value to estimate the product of a 3-digit by a 1-digit multiplication.
  2. Use expanded short multiplication to multiply a 3-digit by a 1-digit number.
  3. Use short multiplication to multiply a 3-digit by a 1-digit number.

Common misconception

Pupils attempt to estimate using approximations that do not allow for quick mental calculation.

Spend time estimating yourself and modelling the simplicity of it. Use estimations regularly to check the magnitude of an answer.

Keywords

  • Expanded multiplication - A way of recording the steps of a calculation focusing on partitioning one or more factors and showing partial products.

  • Short multiplication - A way of recording using columns to set out and calculate a multiplication.

  • Estimate - To find a value that is close enough to the right answer, usually with some thought or calculation involved.

Estimation is a valuable skill to support checking answers. Take time to model estimation and checking final calculations against these to support pupils in seeing the value of estimating.
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.
Match the equation the product.
Correct Answer:7 × 2,14

14

Correct Answer:3 × 6,18

18

Correct Answer:7 × 9,63

63

Correct Answer:3 × 7,21

21

Correct Answer:7 × 10,70

70

Q2.
Which multiples of 10 is 47 between?
An image in a quiz
30 and 40
Correct answer: 40 and 50
50 and 60
Q3.
Which multiples of 100 is 256 between?
An image in a quiz
100 and 200
Correct answer: 200 and 300
240 and 340
Q4.
26 × 4 Use the expressions. The answer will be between 80 and .
An image in a quiz
Correct Answer: 120
Q5.
True or false: 3 × 30 < 3 × 34
Correct answer: True
False
Q6.
Estimate and record your calculation as an informal or formal strategy. Eric buys 4 football tickets at £32 each. He then sells 1 at a discounted price of £29. How much did he spend in total? £
Correct Answer: 99, ninety nine, ninety-nine, £99, 99.00

6 Questions

Q1.
Which multiples of 100 is 447 in between?
300 and 450
400 and 450
Correct answer: 400 and 500
500 and 600
Q2.
Match the sentence stems to the correct inequalities expression
Correct Answer:345 is between 300 and 400,300 < 345 < 400

300 < 345 < 400

Correct Answer:443 is between 400 and 500,400 < 443 < 500

400 < 443 < 500

Correct Answer:697 is between 600 and 700,600 < 697 < 700

600 < 697 < 700

Correct Answer:801 is between 800 and 900,800 < 801 < 900

800 < 801 < 900

Q3.
Estimate the numbers that the answer will be between for the value of the expression 547 × 3
An image in a quiz
15 and 18
150 and 180
Correct answer: 1500 and 1800
15000 and 18000
Q4.
Choose an appropriate estimation for the value of the expression 471 × 4
Correct answer: Between 1600 and 2000
Between 1200 and 1600
Between 160 and 200
Between 1200 and 1660
Q5.
Estimate the numbers that the answer will be between for the value of the expression: 647 × 7
Correct Answer: 4200 and 4900, 4200 4900, 4,200 4,900, 4,200 and 4,900
Q6.
Eric buys 6 football tickets at £304 each. He then sells 1 at a discounted price of £299. How much did he spend altogether? £
Correct Answer: 1,525, 1525, 1525.00, £1525.00