New
New
Year 6

Explain how and why scaling is used to make and interpret maps

You can explain how and why scaling is used to make and interpret maps and plans.

New
New
Year 6

Explain how and why scaling is used to make and interpret maps

You can explain how and why scaling is used to make and interpret maps and plans.

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Lesson details

Key learning points

  1. The language 'for every' can be used to describe the relationship between the distance on the map and on the ground.
  2. A double number line can represent the relationship between the distances.
  3. The representation helps to identify the calculations needed to solve the problem.

Keywords

  • Scale - A scale is used to show how the distances on a map or plan relate to distances in real life

  • 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

Common misconception

Scaling values can be done using addition and subtraction.

The ratio relationship between the values when they are scaled must remain the same.

Model that the relationship between the plan and real life distances is the same for all values so if a measurement on the map or plan is doubled then the real life distance is also doubled.
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).

Lesson video

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6 Questions

Q1.
What number is 4 times more than 8?
Correct Answer: 32, thirty two, thirty-two
Q2.
What is 8 multiplied by 8?
Correct Answer: 64, sixty four, sixty-four
Q3.
What is the value of 8 sevens?
Correct Answer: 56, fifty six, fifty-six
Q4.
How many 8s are there in 72?
Correct Answer: 9, nine
Q5.
What are the factors of 24?
2, 12, 4, 6
1, 2, 4, 6, 12, 24
2, 3, 4, 6, 8, 12
Correct answer: 1, 2, 3, 4, 6, 8, 12, 24
Q6.
This is a list of factors for a whole number less than 50: {1, 2, 3, 4, 6, 8, 9, 12, 18, ?}. The number itself is missing from the list. What is the number?
18
24
30
Correct answer: 36
48

6 Questions

Q1.
How far is it from the mountains to the treasure? For every 1 square side on the map there are 4km on the island.
An image in a quiz
3 km
4 km
8 km
Correct answer: 12 km
Q2.
Which equation represents the distance from the mountains to the treasure? For every 1 square side on the map there are 4km on the island.
An image in a quiz
$$3 \times 3 = 9$$
Correct answer: $$4 \times 3 = 12$$
$$4 \times 1 = 4$$
Q3.
How far is it from the mountains to the palm tree? For every 1 square side on the map there are 4km on the island.
An image in a quiz
Correct answer: 20 km
5 km
25 km
Q4.
Which equation represents the distance from the mountains to the palm tree? For every 1 square side on the map there are 4km on the island.
An image in a quiz
$$4 \times 4 = 16$$
$$5 \times 5 = 25$$
Correct answer: $$4 \times 5 = 20$$
Q5.
What scale is represented by this double number line?
An image in a quiz
For every 1 cm on the map there is 1 km on the island
Correct answer: For every 1 cm on the may there are 3 km on the island
For every 4 km on the island there is 1 cm on the map
Q6.
What is the missing number a on the double number line?
An image in a quiz
Correct Answer: 18, eighteen, 18 km, eighteen kilometres