Division and multiplication can be used to solve ratio problems.
A table can be used to collect the information needed to solve the problem.
The representation helps to identify the calculations needed to solve the problem.

Common misconception

Knowing how to create a table or bar model to represent a context presented in words.

Discuss the context to identify the parts and the wholes in order to build an appropriate representation of the context.

Keywords

Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole
For every - For every allows you to talk about the relative sizes of the values e.g. for every 2 squares there is 1 triangle

Model the construction of bar models with pupils and identify the columns or rows needed in a table of values. Make sure that pupils can explain how the bar model or table represent the context and can be changed in order to solve problems.

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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Worksheet

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Starter quiz

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6 Questions

Q1.

For every 2 marbles Alex has, Aisha has 3 marbles. What is the missing value in this table?

Correct Answer: 9, Nine, nine

Q2.

For every 2 marbles Alex has, Aisha has 3 marbles. What is the missing value in this table?

Correct Answer: 15, Fifteen, fifteen

Q3.

Which equation will you need to calculate the missing value?

$$2 \times 5 = 10$$

Correct answer: $$3 \times 5 = 15$$

$$10 + 5 = 15$$

$$3 \times 3 = 9$$

Q4.

Which equation will you need to calculate the missing value?

Correct answer: $$5 \times 5 = 25$$

$$3 \times 5 = 15$$

$$2 \times 5 = 10$$

Correct answer: $$10 + 15 = 25$$

Q5.

The circled value in the image can be represented by the equation $$5 \times 6 = 30$$. What does the 5 in the equation represent?

The number of times the marbles have been shared out

Correct answer: The total number of marbles in the basic ratio

The number of marbles Alex has

The number of marbles Aisha has

Q6.

The circled value in the image can be represented by the equation $$5 \times 6 = 30$$. What does the 6 in the equation represent?

Correct answer: The number of times the marbles have been shared out

The total number of marbles in the basic ratio

The number of marbles Alex has

The number of marbles Aisha has

Exit quiz

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6 Questions

Q1.

A quiz team is made up of 3 adults and 2 children. If there are 45 people in total, how many teams are taking part?

Correct answer: 9

Q2.

A quiz team is made up of 3 adults and 2 children. If there are 45 people in total. Which equation represents the number of teams there are taking part?

$$45 \div 9 = 5$$

$$2 + 3 =5$$

Correct answer: $$45 \div 5 = 9$$

$$2 \times 3 =6$$

Q3.

The problem below can be solved using this equation $$45 \div 5 = 9$$. What does the 45 represent in this equation?

The number of people in one quiz team

The number of quiz teams taking part

The number of adults taking part

The number of children taking part

Correct answer: The total number of people taking part

Q4.

The problem below can be solved using this equation $$45 \div 5 = 9$$. What does the 5 represent in this equation?

Correct answer: The number of people in one quiz team

The number of quiz teams taking part

The number of adults taking part

The number of children taking part

The total number of people taking part

Q5.

The problem below can be solved using this equation $$45 \div 5 = 9$$. What does the 9 represent in this equation?

The number of people in one quiz team

Correct answer: The number of quiz teams taking part

The number of adults taking part

The number of children taking part

The total number of people taking part

Q6.

One team is 3 adults and 2 children. If there are 45 people in total, how many teams are taking part?

Correct Answer: 9, Nine, nine