New
New
Year 6

# Solve problems involving scaling and ratio

You can identify and describe the relationship between two squares using scale factors

New
New
Year 6

# Solve problems involving scaling and ratio

You can identify and describe the relationship between two squares using scale factors

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## Lesson details

### Key learning points

1. Ratio and scaling problems can be represented in similar ways.
2. Ratio and scaling problems can be solved in similar ways.
3. A ratio table can be used to solve ratio and scaling problems.

### Common misconception

Not identifying whether they are scaling up a part or the whole amount and how this is represented.

Ask if it is a part or the whole that you are being asked to work out and articulating where this is in the representation or ratio table.

### Keywords

• Scaling - Scaling is the operation of changing one value to another using multiplication or division, using the same factor or divisor

• Double number line - A double number line is used to show the relationship between two values, in this case, the distances on the plan and those in real life

Whenever a representation is used, make sure that pupils are aware of what is being represented, how the values in the context or question relate to the representation and how the values are chosen for the ratio table, if used.
Teacher tip

### Licence

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

## Starter quiz

### 6 Questions

Q1.
$$7 \times 5 =$$
Correct Answer: 35, thirtyfive, thirty five, thirty-five
Q2.
How many 7s are there in 63?
Q3.
Which equations represent the question 'How many 7s are there in 63'?
$$7 \times 63 = 441$$
Correct answer: $$7 \times ? = 63$$
Correct answer: $$63 \div 7 = ?$$
$$7 \div 63 = ?$$
Q4.
What is one half times the size of 28?
Q5.
How long is this room in real life?
Correct Answer: 4 m, 4 metres, four metres
Q6.
Which equation represents the length of the room in real life?
$$1 \times 8 = 8$$
$$1 \times 2 = 2$$
Correct answer: $$1 \times 4 = 4$$

## Exit quiz

### 6 Questions

Q1.
Sam is making lemonade. They use one part lemon for every 3 parts water. Which bar models represent Sam's lemonade?
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Q2.
Which lemonade will be the strongest in lemon flavour?
Correct Answer: An image in a quiz
Q3.
Sam is making lemonade. They use one part lemon for every 3 parts water. If they use 15 parts of water, how many parts of lemon will they need?
3 parts lemon
4 parts lemon
13 parts lemon
Q4.
A necklace has 2 patterned beads for every 3 plain beads. There are 12 patterned beads. How many plain beads will there be?