When a comparison is made, we are determining how different two objects are. In this case, how many times longer, taller or deeper an object is than another.

A comparison can also be made between an object before, and then after, a change. Examples of a change include a change in height of a flower due to growth.

Use knowledge of multiplication and division to solve comparison and change problems

Maths

In this unit pupils will learn to compare and describe measurements using multiplication and division. In the future unit pupils will apply memorised unit conversions to convert between units of measure with larger to smaller units and smaller to larger units and solve problems involving converting between units of time and money. 

 In the prior unit pupils used their knowledge of decimal place value to convert between and compare metres and centimetres and explained that different lengths can be composed additively and multiplicatively. In this unit pupils will learn to compare and describe measurements using multiplication and division.

Compare and describe measurements using knowledge of multiplication and division

Jacob has a netball that has a mass of 500 g and a tennis ball that is one quarter of the mass of the netball. Does this bar model represent this?

Jacob has a netball that has a mass of 500 g and a tennis ball that is one quarter of the mass of the netball. The mass of the tennis ball is {{ }} g

The jug contains a 1 l 500 ml volume of water. This is 3 times the 500 ml volume of water in the glass. Which equations represent this?

A flight to America takes 12 hours. A flight to Spain takes 3 hours. How many times as long is a flight to America than a flight to Spain?

Lucas is saving to buy a new games console. He needs £240. He currently has £30. He needs {{ }} times his current amount to buy the new console.

Lucas is saving to buy a new games console. He needs £240. He currently has £30. How much more money does he need to save? Does this bar model represent this problem?

One fifth times the value of £450 is {{ }}

A tree is six times the height it was when it was planted. It was 1 m 20 cm when it was planted. How tall is it now in metres and centimetres?

Sam has saved £10.50  Jacob has one tenth times the money that Sam has. How much money does Jacob have?

Dividing 770 ml by 7 is the same as mulitplying by which fraction?

Alex can run 100 m in 30 seconds. A cheetah can run this far in one fifth of the time it takes Alex. The cheetah takes {{ }} seconds to run 100 m.

The dolls house door is $${1}\over{10}$$ the height of a real door. The height of a real door is 2 m. What is the height of the dolls house door in cm?

This lesson will soon be taken down.

Use knowledge of multiplication and division to solve comparison and change problems

Lesson outcome