This week Recognise common number patterns and sequences Predict the next number in a pattern or sequence Describe a pattern or sequence using a rule Use 1 and 2 step formulae Explain given formulae in words Convert a description to a formulae Apply given formulae to area, perimeter, volume and money Use 1 and 2 step formulae to solve problems involving area, perimeter, volume and money Apply formulae to exam style questions

What is the name for the distance around the outside of a 2D shape? Explain how to calculate the area of a rectangle. Calculate the perimeter of a 6cm square. Calculate the area of a 5m x 2m rectangular garden. What is the formula to calculate the area of a triangle? Calculate the volume of a 3cm cube. Give an example of triangular prisms in day-to-day life. Explain how you could use area in your vocational area. What is the difference between the radius and diameter of a circle? Name the formulae used to calculate the circumference and area of circles.

Sequences Describe how to calculate the next number in the sequence: 8, 11, 14, 17 3, 6, 12, 24 66, 63, 60, 57 32, 16, 8, 4 Fill in the gaps in each sequence: 80, 40, ___, 10, 5 70, 65, ___, 55, 50 4, 5, 7, 10, ___, 19 6, 10, ___, 18, 22 Repeat these sequences three more times: Add 6: 1, ___, ___, ___ Multiply by three: 2, ___, ___, ___ Add nine: 3, ___, ___, ___ Subtract five: 27, ___, ___, ___

Number Patterns Use these patterns to predict the next pattern in the sequence:

Which are formulae?

Writing formulae in words P = 2L + 2W (P = perimeter of a rectangle, L = length and W = width: Perimeter equals two times the length plus two times the width. A = L x W where A = area of a rectangle, L = length and W = width S = P – D where S = sale price, P = original price and D = discount V = L x W x H where V = volume of a cuboid, L = length, W = width and H = height D = S x T where D = distance, S = speed and T = time J = W + A + B where J = journey time, W = walking time to and from bus stop, A = time waiting for the bus and B = time on the bus

Word problems to formulae I think of a number then add 5. The answer is 12. Write a formula to show this: Number + 5 = 12 or n + 5 = 12 I think of a number then add 8. The answer is 12. Write a formula to show this. I think of a number then take away 5. The answer is 12. Write a formula to show this. I think of a number then multiply by 5. The answer is 30. Write a formula to show this. I think of a number then divide by two. The answer is ten. Write a formula to show this. Write a formula to show the total cost in pence (p) of buying some biscuits (b) at 50p each: 50 times the number of biscuits, so p = 50b Write a formula to show the total cost in pence (p) of buying some bottles of lemonade (l) at 70p each. Write a formula to show the total cost in pence (p) of buying 5 tins of beans (b) at 55p each.

Name the Planet (or Moon) b c d e f g h i j k l m 50 48 45 42 40 36 35 32 30 28 25 1 21 n o p q r s t u v w x y z 20 18 16 15 12 10 8 7 6 5 4 3 2 Clue 1 = g + q Clue 2 = j – p Clue 3 = 3u Clue 4 = a/w 35 + 15 = 50 = a 28 – 16 = 12 = r 3 × u = 3 × 7 = 21 = m a ÷ w = 50 ÷ 5 = 10 = s Unscrambling gives… Mars

Pluto Saturn Venus Neptune Titan a b c d e f g h i j k l m 50 48 45 42 40 36 35 32 30 28 25 1 21 n o p q r s t u v w x y z 20 18 16 15 12 10 8 7 6 5 4 3 2 1) Clue 1 = w + y Clue 2 = i – r Clue 3 = 2t Clue 4 = j/x Clue 5 = b – c – z 2) Clue 1 = 2w Clue 2 = q – t Clue 3 = 2s Clue 4 = 2k Clue 5 = 6z Clue 6 = 2w - z 3) Clue 1 = 4s Clue 2 = d/u Clue 3 = d/v Clue 4 = sz Clue 5 = zw 4) Clue 1 = h/z Clue 2 = 2y + l Clue 3 = 2r – x Clue 4 = 2u – v Clue 5 = zi – n Clue 6 = xr – t Clue 7 = a ÷ k × s 5) Clue 1 = w² + k Clue 2 = y² - l Clue 3 = x² ÷ 2 Clue 4 = wyz Clue 5 = st/x Pluto Saturn Venus Neptune Titan

1. If a = 17 and b = 19 what is the value of a + b? 26 36 38

2. If c = 100 and d = 71 what is the value of c – d? 29 31 39

3. If x = 8 what is the value of 3x? 24 11 38

4. If p = 7 and q = 8 what is the value of pq? 15 78 56

5. If e = 42 and m = 6 what is the value of e/m? 7 8