1. Created by Mr. Lafferty Maths Dept.
Equations
Number Machine
Basic Equations
Harder Equations
Inequalities
Solving Inequalities
16-Jun-18
Created by Mr. Lafferty Maths Dept.

2. Created by Mr. Lafferty Maths Dept.
Starter Questions
25% of 116
Write 20% as a fraction and a decimals.
What shape as no line of symmetry.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

3. Created by Mr. Lafferty Maths Dept.
Number Machine
Learning Intention
Success Criteria
We are learning how to use a number machine.
1. Understand the process of the number machine.
2. Calculate the answer to a number machine.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

4. Function Machine 7 + 13 20 www.mathsrevision.com IN OUT
A machine that changes one number
into another number. 7
+ 13 20 IN
OUT
16-Jun-18
Created by Mr.Lafferty Maths Dept

5. Created by Mr.Lafferty Maths Dept
Function Machine 6
+ 7 19
Double 8 x3
- 14 10
16-Jun-18
Created by Mr.Lafferty Maths Dept

6. Created by Mr.Lafferty Maths Dept
Function Machine
+ 4 1
- 9 6 ÷3
X 2 8 12
16-Jun-18
Created by Mr.Lafferty Maths Dept

7. Created by Mr.Lafferty Maths Dept
Function Machine
X 4 39 11
- 5 18
+ 4 10 ÷3
16-Jun-18
Created by Mr.Lafferty Maths Dept

8. Created by Mr. Lafferty Maths Dept.
Number Machine
Now try TJ2b
Ex 1
Ch11 (page 109)
16-Jun-18
Created by Mr. Lafferty Maths Dept.

9. Created by Mr. Lafferty Maths Dept.
Starter Questions
10% of 1979
Write 30% as a fraction and a decimals.
What shape(s) have half - turn symmetry.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

10. Created by Mr. Lafferty Maths Dept.
Equations
Learning Intention
Success Criteria
We are learning to solve basic equations using the
‘Balancing Method’
1. Understand the process of the
‘Balancing Method’
2. Solving basic algebraic equations.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

11. Balancing Method www.mathsrevision.com
Kirsty goes to the shops every week to buy some potatoes.
She always buys the same total weight.
One week she buys 2 large bags and 1 small bag.
The following week she buys 1 large bag and 3 small bags.
If a small bags weighs 4 kgs. How much does a large bag weigh? 4 4
What instrument measures balance
How can we go about solving this using balance ?
16-Jun-18
Created by Mr Lafferty Maths Dept

12. Created by Mr Lafferty Maths Dept
Balancing Method
Take a small bag away
from each side. 4 4 4 4
Take a big bag away
from each side.
We can see that a big bag
is equal to
4 + 4 =
8 kg
16-Jun-18
Created by Mr Lafferty Maths Dept

13. Balancing Method It would be far too time consuming to draw out
the balancing scales each time.
We will now review how to use the rules for solving equations.
16-Jun-18
Created by Mr Lafferty Maths Dept

14. Created by Mr. Lafferty Maths Dept.
Basic Equations
Examples
Demo
x – 5 = 11
x + 8 = 37
+ 5
+ 5
- 8
- 8
x = 16
x = 29
Check !
Check !
16-Jun-18
Created by Mr. Lafferty Maths Dept.

15. Created by Mr. Lafferty Maths Dept.
Basic Equations
Examples
Demo
2x = 18
6x = 72 2 2 6 6
x = 9
x = 12
Check !
Check !
16-Jun-18
Created by Mr. Lafferty Maths Dept.

16. Created by Mr. Lafferty Maths Dept.
Tricky ! Equations
Examples
8 – z = 6
36 - r = 12
+ z
+ z
+ r
+ r
Swap round
8 = z + 6
Swap round
36 = 12 + r
z + 6 = 8
12 + r = 36
- 6
- 6
- 12
- 12
Check !
x = 2
r = 24
Check !
16-Jun-18
Created by Mr. Lafferty Maths Dept.

17. Created by Mr. Lafferty Maths Dept.
Basic Equations
Now try TJ2b
Ex 2
Ch11 (page 111)
16-Jun-18
Created by Mr. Lafferty Maths Dept.

18. Created by Mr. Lafferty Maths Dept.
Starter Questions
680 ÷ 20 two steps !
26 x 500 two steps !
3. What shape can you fly !!
16-Jun-18
Created by Mr. Lafferty Maths Dept.

19. Created by Mr. Lafferty Maths Dept.
Equations
Learning Intention
Success Criteria
We are learning to solve equations using the Balancing Method.
1. Understand the process of the
‘Balancing Method’
2. Solving basic algebraic equations.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

20. Created by Mr. Lafferty Maths Dept.
Equations
Example
Demo
4x – 2 = 34
2x + 9 = 31
+ 2
+ 2
- 9
- 9
4x = 36
2x = 22 4 4 2 2
x = 9
x = 11
Check !
Check !
16-Jun-18
Created by Mr. Lafferty Maths Dept.

21. Created by Mr. Lafferty Maths Dept.
Equations
Examples
Demo
5x – 7 = 33
4 - 2x = -10
+ 7
+ 7
+ 2x
+ 2x
Swap round
5x = 40
4 = x 5 5
2x - 10 = 4
+ 10
+ 10
x = 8
2x = 14
Check ! 2 2
Check !
x = 7
16-Jun-18
Created by Mr. Lafferty Maths Dept.

22. Created by Mr. Lafferty Maths Dept.
Equations
Now try TJ2b
Ex 3
Ch11 (page 112)
16-Jun-18
Created by Mr. Lafferty Maths Dept.

23. Created by Mr. Lafferty Maths Dept.
Starter Questions
180 ÷ 400 two steps !
92 x 70 two steps !
3. What shape(s) has two pairs of parallel lines.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

24. Created by Mr. Lafferty Maths Dept.
Inequalities
Learning Intention
Success Criteria
We are learning to solve inequalities using the Balancing Method.
1. Understand the process of the
‘Balancing Method’
2. Solving basic algebraic inequalities.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

25. Created by Mr.Lafferty Maths Dept
Inequalities
Solving Inequations
The equations you were solving were called
equations because they contained an “=“ sign.
There are 4 other Mathematical symbols
They are called inequalities :
greater than
greater than or equal to
less than
less than or equal to
16-Jun-18
Created by Mr.Lafferty Maths Dept

26. x ≥ 2 Inequalities 5 > 3 -7 < -6 y ≤ -5
Arrow ALWAYS points to the smallest number
Solving Inequalities
Examples : Write in words what each mean.
5 > 3
means 5 is greater than 3
-7 < -6
means -7 is less than -6
means x can take the value
2 or greater
x ≥ 2
y ≤ -5
means y can take the value
-5 or less
16-Jun-18
Created by Mr.Lafferty Maths Dept

27. Created by Mr.Lafferty Maths Dept
Inequalities
Solving Inequalities
Examples : Write out an inequality for the numbers
(a) 14 and 6
14 > 6
(b) -2 and 1
-2 < 1
(c) -3 and -7
-3 > -7
(d) 34 and -35
34 > -35
16-Jun-18
Created by Mr.Lafferty Maths Dept

28. Created by Mr.Lafferty Maths Dept
Inequalities
Solving Inequalities
Examples : Choosing from -3, -2, -1, 0 , 1, 2, 3
(a) y < 0
-3, -2, -1
(b) y > 2 3
(c) y ≤ -2
-3, -2
(d) y > 3
No solution
16-Jun-18
Created by Mr.Lafferty Maths Dept

29. Created by Mr. Lafferty Maths Dept.
Inequalities
Now try TJ2b
Ex 4
Ch11 (page 114)
16-Jun-18
Created by Mr. Lafferty Maths Dept.

30. Created by Mr. Lafferty Maths Dept.
Starter Questions
45 – (4 + 27)
2. ½ of x 5
3. Name the triangle with all equal sides.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

31. Created by Mr. Lafferty Maths Dept.
Inequalities
Learning Intention
Success Criteria
We are learning to solve inequalities using the Balancing Method.
1. Understand the process of the
‘Balancing Method’
2. Solving basic algebraic inequalities.
16-Jun-18
Created by Mr. Lafferty Maths Dept.

32. Created by Mr.Lafferty Maths Dept
Inequalities
Inequalities
The Good News
Same rule as solving equations
The Balancing Method
16-Jun-18
Created by Mr.Lafferty Maths Dept

33. Created by Mr. Lafferty Maths Dept.
Basic Equations
Examples
Demo
x – 9 > 16
x + 10 < 19
+ 9
+ 9
- 10
- 10
x > 25
x < 9
Check !
Check !
16-Jun-18
Created by Mr. Lafferty Maths Dept.

34. Created by Mr. Lafferty Maths Dept.
Basic Equations
Examples
Demo
7y > 35
9m < 36 9 9 7 7
y > 5
m < 4
Check !
Check !
16-Jun-18
Created by Mr. Lafferty Maths Dept.

35. Inequalities Now try TJ2b Ex 5 Ch11 (page 116) www.mathsrevision.com
Have you updated your Learning Log ?
Inequalities
Now try TJ2b
Ex 5
Ch11 (page 116)
16-Jun-18
Created by Mr. Lafferty Maths Dept.