Key Stage 3Mathematics

Key FactsLevel 6

Level 6

Number and Algebra

- -

4p + 5 = 3p75 -

4p + 5 = 3p75 -

Swap Sides, Swap Signs

=4p 75

3p

+ -

5

=7p 70

= p 10

Now try these:

• 3c -21 = c + 5• 2e – 3 = 15 – 4e• 3d + 8 = 5d – 2• 4f – 7 = 20 + f• 8g + 21 = 4g + 33

Multiplying out brackets

4( x + 7 )Multiply every thing inside the brackets. = 4x + 28

8(7 – 2g)

= 56 – 16g

Now try:

• 6(2b – 9)• 3(5a – 3)• 4(2x + 1)• 6(3 + y)• 7(4b -11)• 3(12 – 5y)• 11(r + 3)

Read the following information on graphs.

I am not setting you questions to answer on this yet, but I want you to be clear about how the formulae y = mx + c would help you to work out the coordinates for plotting a line on a graph.Next week I will set you questions to answer on this.

2 4 6-6 -4 -2

2

4

6

-6

-4

-2

y axis

x axis-5 -3 -1 1 3 5

-1

-3

-5

1

3

5

(3,6)

(2,4)

(1,2)

(-3,-6)

The y coordinate is always double the x coordinate

y = 2x

Straight Line Graphs

1 2 3 4-4 -3 -2 -10

2

4

8

6

10

-2

-4

-8

-6

-10

y = ½ x

y = x

y = -x

y = 2x y = 3x

y = 4x

y = 5x

y axis

x axis

1 2 3 4-4 -3 -2 -10

2

4

8

6

10

-2

-4

-8

-6

-10

y = 2x

+1

y = 2x

- 5y =

2x+6

y = 2x

- 2y axis

x axis

All straight line graphs can be expressed in the form

y = mx + c

m is the gradient of the line and c is the y intercept

The graph y = 5x + 4 has gradient 5 and cuts the y axis at 4