Starter quiz
- 1 apple and 2 bananas cost £1.85 3 apples and 2 bananas cost £2.75 Complete the equations to represent this. a + 2b = £1.85 and ______ + 2b = £2.75
- '3a' ✓
Which pair of equations represent the image?- 3s + l = 100 and 2s + l = 80 ✓
- ss + l = 100 and 3s + l = 80
- s + l = 100 and s + l = 80
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- Match the mass in kilograms to its equivalent mass in grams.
- 1.205 kg⇔1,205 g ✓
- 1.25 kg⇔1,250 g ✓
- 1.025 kg⇔1,025 g ✓
- £10 is shared between 8 people. How much does each person get? Write your answer in pounds. £______
- '1.25' ✓
- If four peaches cost £3.40, what is the cost of one peach? Give your answer in pence. ______ p
- '85' ✓
- 1 apple and 2 bananas cost £1.85 3 apples and 2 bananas cost £2.75 What is the cost of one banana? Give your answer in pence.
- '70 p' ✓
Exit quiz
1 eraser (a) and 3 pencils (3b) cost £1.75 4 erasers (4a) and 3 pencils (3b) cost £2.50 Which statements are true?- There is an equal number of erasers.
- There is an equal number of pencils. ✓
- The difference in cost is equal to 3 erasers. ✓
- The difference in cost is equal to 3 pencils.
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- 1 eraser (a) and 3 pencils (3b) cost £1.75 4 erasers (4a) and 3 pencils (3b) cost £2.50 Find the cost of one eraser. ______ p
- '25' ✓
The masses of some groups of large and small bags of potatoes are shown here. What is the mass of the large bag? ______ kg- '2.6' ✓
Two different designs are made with the same square and triangular tiles. The area of the whole design is given. What is the area of one triangular tile? ______- '9' ✓
Lucas knows that the cost of 1 lemon is 30 p. What is the missing total highlighted? Give your answer in pounds. £______- '1.10' ✓
Lucas knows that the cost of 1 lemon is 30 p and the cost of 1 pear is 50 p. What is the missing total highlighted? Give your answer in pounds. £______- '1.30' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- Some problems with two unknowns have only one solution.
- Some problems with two unknowns have many solutions.
- Some problems with two unknowns have an infinite number of solutions.
Common misconception
When representing problems with more than two unknowns, pupils draw bar models all starting from the same end point and with the variables in any order.
Encourage pupils to draw their bar models with the variables lined up underneath one another wherever possible. The bar model may not line up form the left, but this can help to identify the differences between each model.
Keywords
Represent - To represent something means to show something in a different way.
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