Algebra Generate and use simple formulae

1. Algebra Generate and use simple formulae Objectives Day 1 Understand and use simple formulae. Day 2 Make generalisations; Understand and use simple formulae. Year 6

2. Algebra Generate and use simple formulae Starters Day 11-step function machines (pre-requisite skills) Suggested for Day 2Times tables (simmering skills) Year 6

3. Algebra Generate and use simple formulae Starter 1-step function machines Click here  Year 6

4. Algebra Generate and use simple formulae Starter Times tables Year 6

5. Algebra Generate and use simple formulae Objectives Day 1 Understand and use simple formulae. Year 6

6. Day 1: Understand and use simple formulae. A company is building houses on different plots. The back gardens are 5m long, but they will be different widths. Each will have a patio area, the width of the plot, and 2m deep. The rest of the garden will be turfed. turf • Write a formula for the area of the turf. patio Year 6

7. Day 1: Understand and use simple formulae. • What would be the area of the turf if they left a border of 1m along each side? • So, what is the turf area now? n - 1 • They have decided to leave a 1m border along one side of the turf for a flowerbed. • So what is the turf width now? turf flower bed patio Year 6

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9. Algebra Generate and use simple formulae Objectives Day 2 Make generalisations; Understand and use simple formulae. Year 6

10. Day 2: Make generalisations; Understand and use simple formulae. • This machine does two things, one after the other, to each input. • Each group in turn are going to suggest an input. • We’ll see the output and see if we can work out what the machine is doing… Year 6

11. Day 2: Make generalisations; Understand and use simple formulae. • Function machine rules • The first function machine: × 2, + 1. If n is the input, the number we put into the machine, we can write the output as 2n + 1, which means we double the input, then add 1. • The second function machine: × 10, – 4. If n is the input, we can write the output as 10n – 4. Year 6

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13. Algebra Generate and use simple formulae Well Done! You’ve completed this unit. Objectives Day 1 Understand and use simple formulae. Day 2 Make generalisations; Understand and use simple formulae. Year 6

14. Algebra Problem solving and reasoning questions If the perimeter of a regular shape is 5 × n, where n is the length of a side, what is the shape? Find the perimeter when n = 6.5 cm. Darren draws a function machine. It trebles a number and then subtracts 6. Sophie sees that one of the outputs is 15. What was the input? Then Darren inputs 11. What output will Sophie see? Write the formula for Darren’s machine. Formula A is 3n. Formula B is n + 6. What number can n represent which will make these two formulae equal the same amount? Year 6

15. Problem solving and reasoning answers If the perimeter of a regular shape is 5 × n, where n is the length of a side, what is the shape? The shape is a pentagon Find the perimeter when n = 6.5 cm. 5 x 6.5 = 32.5cm. Darren draws a function machine. It trebles a number and then subtracts 6. Sophie sees that one of the outputs is 15. What was the input? 7 Use inverse operations adding 6 to 15 then dividing by 3. Then Darren inputs 11. What output will Sophie see? 27 Write the formula for Darren’s machine. 3n – 6 Formula A is 3n. Formula B is n + 6. What number can n represent which will make these two formulae equal the same amount? n = 3 Year 6