Key Stage 3 Mathematics Key Facts Level 6. Level 6 Number and Algebra.
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Transcript of Key Stage 3 Mathematics Key Facts Level 6. Level 6 Number and Algebra.
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