A bar model is a pictorial representation of a problem where bars are used to represent the known and unknown quantities.

A multiplicative relationship is a comparison between numbers that relates to multiplication (and hence division). In a multiplicative relationship, the parts are equal.

Times the __________ is a phrase that is used to compare measures multiplicatively. For example, one tree might be 'three times the height' of another tree - it is three times as tall.

Solve comparison and change problems in a range of contexts

Maths

Compare and describe lengths using knowledge of multiplication

Solve comparison and change problems using multiplication

Compare and describe lengths using knowledge of division

Solve comparison and change problems using division

Solve problems involving comparison and change

Compare and describe measurements involving mass and capacity

Compare and describe measurements involving time and money

Describe changes in measurement using knowledge of multiplication and division

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

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.

In this unit pupils will learn to compare and describe measurements using multiplication and division, applying their understanding of scaling as a structure of multiplication.

Compare and describe measurements using knowledge of multiplication and division

20, 000 people watched Arsenal play and 80. 000 watched Manchester City play. How many times more people went to Manchester City?

There are 25 g of blueberries in a small box and 800 g in a large box. How many times the small box is the large box?

There are 900 g of strawberries in a large box and 90 g in a small box. Which word completes this sentence? The small box is one {{ }} the mass of the large box.

Which equations can be formed from the bar model?

What is the value of the ? in the equations? 60, 000 ÷ ? = 20, 000 and 60, 000 ÷ 20, 000 = ?

What is the value of the ? in this equation 60, 000 × ? = 20, 000

Izzy has a football that has a mass of 540 g and a tennis ball. The football is nine times the mass of the tennis ball. What is the mass of the tennis ball?

A full kettle contains 1 l 400 ml of water and a full cup contains 200 ml of water. You can fill {{ }} cups with water from the full kettle.

A flight to France takes one fifth of the time it takes to fly to New York. If it takes 1 hour 30 minutes to fly to France, how long does it take to fly to New York?

What is 8 times the value of £2.50? 8 times the value of £2.50 is {{ }}.

Alex is saving for a new laptop. He has saved £70 and has saved $${1}\over{4}$$ of the cost of the laptop. Which expressions shows how much does the laptop costs?

Alex is saving for a new laptop. He has saved £70 and has saved $${1}\over{4}$$ of the cost of the laptop. How much more money does he need to save? Alex needs to save £{{ }}.

Solve comparison and change problems in a range of contexts

Lesson outcome