1. Welcome
GCSE Maths

3. Objectives Learners will be able to...
Define sets of numbers by describing or by listing.
Explain the terms ‘universal’, ‘null or empty’, ‘Intersection’ and ‘Union’.
Use correct notation when working with sets.

4. What will you learn today
What will you learn today? By the end of this session I will be able to…
Solve simple equations.
Solve linear equations, with integer digits, in which the unknown appears on either side or on both sides of the equation. substitute positive and negative integers into simple algebraic expressions and formulae
substitute positive integers into algebraic expressions and formulae that include squares and cubes
substitute positive and negative integers into algebraic expressions and formulae that include squares and cubes
Confident use of own calculator and the functions available.
Build confidence in the group and explore maths topics.

5. 5a + 15 Expanding Brackets 5(a + 3)
Expanding brackets is often called “multiplying out” brackets because we use multiplication to get rid of the brackets.
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
5(a + 3) x 5a
+ 15

7. Expanding brackets and collecting like terms
Multiply out and simplify 3(5y – 3) – 2(4y + 5) 2(3x + 3y) + 2(y - 5)

8. Expand these brackets: (Moon method)
Answers:
𝒙 𝟐 +𝟏𝟏𝒙+𝟐𝟖
𝒙 𝟐 −𝟓𝒙+𝟔
𝒙 𝟐 −𝟑𝒙−𝟏𝟎
𝑥+4 𝑥+7
𝑥−3 𝑥−2
𝑥−5 𝑥+2

9. Recap- What is a factor
Factors of 12
Factors of 21

10. Factorise 10𝑥+25
Factorising is taking out factors of each part of the expression.
Can I rewrite 10𝑥+25?
10𝑥=5×2𝑥
25=5×5
What appears in both parts?
Factorised: 𝟓(𝟐𝒙+𝟓)

11. Factorise 3 𝑥 2 +5𝑥
Factorising is taking out factors of each part of the expression.
Can I rewrite 3 𝑥 2 +5𝑥?
3 𝑥 2 =3×𝑥×𝑥
5𝑥=5×𝑥
What appears in both parts?
Factorised: 𝒙(𝟑𝒙+𝟓)

12. Could you mark this questions?
Question: “Fully factorise 12xy – 9xyz”
Andy says the answer is 3(4xy – 3xyz)
Boris says the answer is 6(2xy – 3xyz)
Cara says the answer is xy(12 – 9z)
Donna says the answer is 3xy(4y – 3z)
Are any of these correct?

13. Tarsia puzzle

14. Reflection of the lesson
What did you learn new today?
Why did you learn it?
How are you going to remember it?

15. Lesson 2
solving

16. Starter – problem solving

17. 1
x = 4 2
x = 4
x = 6 3
3x = 12
2x - 7 = 1
3x + 5 = 23 4
x = 9 5
x = -12
x = 48 6
x = 12 4
7x = 63
x + 7 = -5
To operate:
Click the squares to reveal the question
The answers are revealed by clicking the question
If you want to give them a 30 second countdown, click the sound icon. 7
x = -10 8
x = 8
x = -5 9
x + 8 = -2
2x - 11= 5
x – 8 = -13

18. Equations -both sides
Cancel out amounts so you get unknowns to one side of the equation and known amounts on the other.
There is not a set rule for which side they need to be on.
Make it as easy as possible for yourself.

20. Expand brackets and solve
4(2x - 1) = 3(x + 4)

21. Something different here…
Solving equations
3(3x + 1) ≥ 21
Something different here…

22. Solving equations – same method
2x - 4 < 5x - 16
Something different here…

23. Solving practice Answer questions by applying skills on solving.
Answer questions by applying expanding knowledge to solve

24. Extenstion work