Starter quiz
- When the sum and the multiplicative relationship between two unknown numbers is known, how many possible solutions are there?
- 1 ✓
- 2
- 3
- 4
- Infinite
-
- What is the value of a in this equation? a × 6 = 42
- '7' ✓
- a represents a larger numbers and b represent a smaller number. The sum of a and b is 340, and the difference between them is 40 What number does b represent?
- 150
- 160
- 170
- 180
- 190 ✓
-
- Grace is 32 years younger than her father. The sum of their ages is 64 years. How old is Grace’s father? ______ years old.
- '48' ✓
- The sum of two numbers is 240 One number is five times the size of the other number. What are the two numbers?
- 30 and 210
- 40 and 200 ✓
- 50 and 190
- 60 and 180
-
- The sum of two numbers is 500 One number is one-third times the size of the other number. What is the value of the largest number?
- '375' ✓
Exit quiz
- 5 × a + 7 × b can also be written as:
- 5 × 7 + b × a
- 5a + 7b ✓
- 5a × 7b
- b7 + a5
-
- Tick the problems that, when written as a pair of equations, would share the same coefficient.
- 5 apples and 3 pears cost £3.10; 4 apples and 3 pears cost £3.60 ✓
- 3 apples and 3 pears cost £2.50; 4 apples and 5 pears cost £3.80
- 2 apples and 2 pears cost £3.00; 1 apple and 3 pears cost £3.60
-
What is the value of the gap marked ? in the bar model? Give your answer in pence. ______ p- '80' ✓
- What is the value of b in the bar model? Give your answer in pence. ______ p
- '40' ✓
- What is the value of k? Give your answer in pence. ______ p
- '60' ✓
- Cereal is sold in big boxes and small boxes. 3 big boxes and 2 small boxes costs £9.50. 2 big boxes and 3 small boxes costs £8.00 What is the cost of the big box of cereal?
- £1.50
- £2.00
- £2.20
- £2.50 ✓
- £2.80
-
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- The model can represent a scaling structure with one part being __ times the size of the other.
- The model can represent an additive structure.
Common misconception
Pupils think that the removal of the multiplication symbol can result in the number becoming a two-digit number rather than two, single digits being multiplied together.
Using the language of 'lots of' may support pupils to see that an algebraic equation with coefficients represents multiplication. For example: 40 can be read as 'four lots of 0'.
Keywords
Coefficient - A coefficient is number used to multiply an unknown value.
Efficient - To solve something efficiently means to solve a problem quickly whilst also maintaining accuracy.
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