Create stories to match structures presented in a model | Maths

Starter quiz

Calculate the missing whole in this bar model.

'13.5' ✓
Which story could these number rods represent? A packet of pick and mix sweets contains:

The same number of cola bottles, cherries and bears.

More cola bottles than cherries and bears. ✓

The same number of cherries and bears and fewer cola bottles.
Which equation represents this bar model made of number rods?

o + p + r = p

p + p + r = o ✓

o + p + p = r

o = 2 × p + r ✓
Calculate using an efficient strategy. Lucas buys a cup of coffee for £3.55 and a slice of cake for £2.99 How much does he spend? £______

'6.54' ✓
Complete the column addition to find the sum.

'72.91' ✓
Complete the column subtraction to find the difference.

'13.61' ✓

Exit quiz

This bar model shows the length of morning lessons. Spelling lasts for 35 minutes, maths for 45 minutes and there is 25 minutes of reading. What is the total learning time? ______ minutes.

'105' ✓
Which problems could be represented by this bar model?

In 3 games, Alex’s basketball team score 62 points, 48 points and 110 points. ✓

Jacob has £110 in his bank account. He spends £62. He has £48 left.

Jun counts 62 ladybirds, 110 ants and 48 butterflies on a nature walk. ✓
Which bar model matches this story? Jun spent £6.50 on a pasta dish for lunch, £3 on a drink and £4 on dessert.

A ✓

B

C
Each football team has 13 players including substitutes playing in a tournament. There are 36 footballers in total. What is the mistake in the bar model?

The bar model does not show three equal teams of 13

Three equal groups of 13 does not total 36 ✓
In the dining room at lunchtime, 42 children can sit at 6 tables with 7 seats at each table. However, 4 children were away. How could the bar model be adjusted?

A

B ✓

C
On a school trip, 54 children asked for cheese sandwiches, 37 wanted meat sandwiches and 29 asked for tuna fish. However, 5 children didn’t go on the trip. How could the bar model be adjusted?

The whole should change to 115 ✓

The cheese sandwiches could change to 49 ✓

The whole should change to 125

The tuna sandwiches could change to 24 ✓

Cheese sandwiches could change to 52 and tuna sandwiches could change to 27

Worksheet

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Lesson Details

Key learning points

The story and the model can represent the same mathematical structure.
The same mathematical structure can apply in different contexts.
Different stories can match the same structure.

Common misconception

Pupils create bar models where the parts do not equal the whole or vice versa.

Whilst this may be a calculation error, it is important that the context of the story is considered when looking to re-adjust the bar model. Take time to work through the context again building the bar model from the what is known.

Keywords

Represent - To represent something means to show something in a different way.
Addends - Addends are any numbers added together.