Compare and describe measurements involving time and money | Maths

Starter quiz

Match the possible masses of an adult penguin and chick. The bar model shows that a penguin chick is one quarter times the mass of an adult.

The mass of the adult penguin is 36 kg

⇔

The mass of the chick is 9 kg ✓

The mass of the adult penguin is 32 kg

⇔

The mass of the chick is 8 kg ✓

The mass of the adult penguin is 28 kg

⇔

The mass of the chick is 7 kg ✓

The mass of the adult penguin is 24 kg

⇔

The mass of the chick is 6 kg ✓
Look at the bar model showing the mass of an adult penguin compared to the chick. Which equations can be formed from the bar model to calculate the mass of the chick?

36 kg × 4 =

36 kg ÷ 4 ✓

36 kg × ${1}\over{4}$ = ✓

36 kg ÷ 5
Which bar model matches the image?
The capacity of the mug is one third times the capacity of the kettle. Which bar model represents this statement?
The capacity of the mug is one third times the capacity of of the kettle. The capacity of the kettle is 1 l 500 ml. The capacity of the mug is ______ ml

'500' ✓
The mass of the adult penguin is six times the mass of the chick. Read the scale and calculate the mass of the adult penguin.

3 000 g ✓

3,600 g

2,400 g

3 kg ✓

Izzy and Sam both cycle to school. It takes Izzy 6 minutes. It takes Sam four times as long. Does this table represent the times?

Yes ✓

No
Izzy and Sam both cycle to school. It takes Izzy 6 minutes. It takes Sam four times as long. It takes Sam ______ minutes to cycle to school.

'24' ✓
Izzy plays the whole 45 minutes of a netball match but Jacob has to leave after 15 minutes. Which statement describes how long he played for?

Jacob played for three times the time Izzy played.

Jacob played for one third of the time Izzy played. ✓

Jacob played for 30 minutes less time than Izzy played. ✓
Sam saved £50. Jacob saved one fifth times as much money as Sam. Which representation shows this?
Sam saved £50. Jacob saved one fifth times as much money as Sam. Which two calculations would you need to work out how much money Jacob and Sam saved together?

£50 ÷ 5 = £10 ✓

£50 × 5 = £250

£50 + £10 = £60 ✓

£50 + £250 = £300
Match the amounts of money that Izzy and Lucas might have saved. The bar model compares the amounts of money they have saved.

Lucas saved £300

⇔

Izzy saved £50 ✓

Izzy saved £12

⇔

Lucas saved £72 ✓

Lucas saved £30

⇔

Izzy saved £5 ✓

Izzy saved £6

⇔

Lucas saved £36 ✓

Lucas saved £3.60

⇔

Izzy saved 60 p ✓

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A change in time or amount of money can be described multiplicatively.
The sentence 'The __________ is ___ times the __________ of the __________' supports understanding.
Comparisons of measure can be represented as multiplication or division equations.

Children are more familiar with multiplication resulting in an increase and need to appreciate that it can also result in a decrease.

When we multiply an integer by a unit fraction, the effect is the same as dividing the whole by the denominator. It results in a decrease.

Times the __________ - Times the time/times as long/times the amount of money are phrases that can be used to compare and describe - one child might run a race in three times the time of another child.