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Year 6

Use written strategies and known facts to calculate the value of a missing part

I can use written strategies and known facts to calculate the value of a missing part.

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New
New
Year 6

Use written strategies and known facts to calculate the value of a missing part

I can use written strategies and known facts to calculate the value of a missing part.

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Lesson details

Key learning points

  1. Drawing a model for helps us to solve more complicated problems in a range of contexts.
  2. Mental strategies can be used to calculate the value of a missing part.
  3. Written strategies can be used to calculate the value of a missing part.

Keywords

  • Represent - To represent something means to show something in a different way.

  • Addend - Addends are any numbers added together.

Common misconception

Pupils draw bar models with larger numbers within them, making them particularly time consuming.

Where larger numbers are used, encourage children to unitise numbers into units of thousands or millions. Equally, if children are secure with what each number represents, they can label each part of the bar with a label from the context itself.

Where possible and appropriate, encourage children to unitise and use their number facts to solve problems. Pupils may opt for a written method although question whether this is necessary, particularly when dealing with larger numbers which are multiples of thousands or ten thousands for example.
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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).

Lesson video

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6 Questions

Q1.
Which equation represents this bar model made of number rods?
An image in a quiz
o + p + r + r = p
p + p + p + r = o
Correct answer: r + p + r + r = o
Correct answer: o = p + 3 × r
Q2.
Alex was training for a swimming race. On Monday he swam 1.1 km. On Wednesday he swam 1,250 m and on Friday he swam 1.2 km. How far did he swim? Give your answer in metres. m
Correct Answer: 3,550
Q3.
Which equations represent this problem? Jun is making a fruit drink. He has 1.35 l altogether. He has 0.65 l of orange juice and 225 ml of pineapple juice. The rest is water. How much water is needed?
Correct answer: 1.35 l − 0.65 l − 0.225 l = water
0.65 l − 0.225 l − water = 1.35 l
Correct answer: 0.65 l + 0.225 l + water = 1.35 l
0.65 l + 225 ml + 1.35 l = water
Q4.
0.3 + 0.1 + 0.6 = 1 Which other combination of three parts has the same whole?
Correct answer: 0.35 + 0.05 + 0.6
0.35 + 0.05 + 0.55
0.3 + 0.2 + 0.6
Q5.
Complete the column subtraction to find the difference.
An image in a quiz
Correct Answer: 44.83
Q6.
What digit is missing from this incomplete column addition?
An image in a quiz
Correct Answer: 2

6 Questions

Q1.
Which equations represent the bar model?
An image in a quiz
Correct answer: Cost of holiday = flight + hotel + leisure time + food
Cost of holiday = Flight − hotel − leisure time − food
Correct answer: Food = Cost of holiday − hotel − leisure time − flight
Q2.
Match the structure to the parts of the bar model.
An image in a quiz
Correct Answer:Missing addend equation,flight + hotel + food + ? = cost of holiday
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flight + hotel + food + ? = cost of holiday

Correct Answer:Repeated subtraction equation,Cost of holiday − flight − hotel − food = ?
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Cost of holiday − flight − hotel − food = ?

Q3.
Calculate the amount that was spent on leisure time for this holiday, which is shown by the question mark in the bar model. Leisure time = £
An image in a quiz
Correct Answer: 220, £220
Q4.
Which equations correctly represent the bar model?
An image in a quiz
Correct answer: Total sales − Cola − Diet Cola = ?
Correct answer: Cola + Diet Cola + ? = Total sales
Total sales − Cola = Diet Cola
Total sales + Cola + Diet Cola = ?
Q5.
Calculate the amount of Max Cola sales using the bar models. Max Cola = £ m
An image in a quiz
Correct Answer: 7.2
Q6.
Oak United and Oak Rovers are playing in the Cup Final at Wembley Stadium. How many supporters were cheering for Oak Rovers?
An image in a quiz
Correct Answer: 39,800