2. 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

3. 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.

4. 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, ___, ___, ___

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

6. Which are formulae?

7. 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

8. 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.

9. 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
= 50 = a
28 – 16 = 12 = r
3 × u = 3 × 7 = 21 = m
a ÷ w = 50 ÷ 5 = 10 = s
Unscrambling gives…
Mars

10. Pluto Saturn Venus Neptune Titan a b c d e f g h i j k l m 50 48 45 4240 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 ÷ Clue 4 = wyz Clue 5 = st/x
Pluto
Saturn
Venus
Neptune
Titan

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

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

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

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

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