1

Algebra Overview:
Review of patterns and graphs, Solving Equations, Simplifying Expressions  

Writing expressions using symbols.

Class notes, Blank notes
Pre/Post test | Key Words | Achievement Standard

Writing Expressions p10 Ex 1.04

Patterns

Achievement Criteria

2

Linear patterns:
Continuing the pattern, Finding missing terms, Finding the rule, Using the rule to find terms, graphing the pattern.

Class notes, Blank notes

Patterns p30 Ex 3.02

Patterns

Finding the rule from a table problems

p12 | AimEx p22

3

Substituting one or several numbers into an equation

Class notes, Blank notes 

Substitution p25 Ex 3.01

Substitution

p11 | AimEx p11

4

What are like terms?
Combining like terms
Multiplying terms - adding powers and multiplying coefficients 

Class notes, Blank notes 

Collecting Like Terms p7 Ex 1.03
Multiplying Terms p2 Ex 1.01, p4 Ex 1.02 #1 to 4

Simplify

p1, 3 | AimEx p6A & 4A

5

Simplifying terms when dividing,
Removing brackets involving powers,
Simplifing involving square root.

Class notes, Blank notes 

Simplifying p25 Ex 1.02 #5 to 13

Simplify

p11 | AimEx p4B,C

6

Simplifying algebra fractions
Multiplying fractions
Dividing Fractions
 

Class notes, Blank notes 

Simplify Fractions p90 Ex 7.01
Multiplying Fractions p91 Ex 7.02
Dividing Fractions p92 Ex 7.03

Fractions

p37 & 38 | AimEx p5

7

Adding & Subtracting fractions with a common demoniator.
With different denominators

Class notes, Blank notes 

Same Denominator p94 Ex 7.06
Different Denominators p95 Ex 7.07

Fractions

p39 | AimEx p6B

8

Practice of the skills covered so far
More Algebra fractions

Class notes, Blank notes 

9

Expanding single brackets with a constant and variable.
Expanding Quadratics.

Class notes, Blank notes 

Single brackets p12 Ex 2.01
Double brackets p15 Ex 2.02

Expanding

p5 | AimEx p7

10

Expanding harder quadratics,
Perfect Squares,
Mixed problems and three brackets

Class notes, Blank notes 

Quadratics p15 Ex 2.03
Perfect Squares p15 Ex 2.04
Mixed & cubics p16 Ex 2.05

Expanding

p6, 7 | AimEx p17

11

Factorising out constants and variables of single brackets
Fractorising Quadratics

Single Brackets Class notes, Blank notes 
Factorising Quadratics Class notes, Blank notes 

Single Brackets p18 Ex 2.06
Factorising Quadratics p19 Ex 2.07

Factorising

p8 | AimEx p18A

12

Practice factorising quadratics,
Perfect squares, The difference between squares.

Class notes, Blank notes 

Factorising Quadratics p19 Ex 2.07
Difference Between squares p21 Ex 2.08

Factorising

p9 | AimEx p18

13

Two stage fractorising
Factorising quadratics which have a coefficient of x²

Class notes, Blank notes 

Two stage factorising p21 Ex 2.09
Harder quadratics p22 Ex 2.10

Factorising

p10 | AimEx p19

14

Solving equations by backtracking & rearranging.
Slving equation with 'x' on both sides

Class notes, Blank notes 

One step problems p44 Ex 4.01
Two step problems p45 Ex 4.02
x on both sides p45 Ex 4.03

Solving

p17 & 18 | AimEx p8

15

Expanding brackets, simplifying and solving.
One or no solutions

Class notes, Blank notes 

Solving p46 Ex 4.04
maybe no solutions p47 Ex 4.05

Solving

p19 | AimEx p9

16

Using linear equations to solve word and application problems.

Class notes, Blank notes 

Sub p25 Ex 3.01

p20

17

Cross multiplying,
Sum or difference of fractions.

Class notes, Blank notes 

Cross multiplying p54 Ex 4.08
Sum or difference p54 Ex 4.09
Common Denominator p55 Ex 4.10
Extension p55 Ex 4.11

Solving

p 21, 22, 23

18

Finding a quadratic pattern using factor method and table method

Class notes, Blank notes 

Quadratic Patterns

p13, 14 | AimEx p23

19

Review of parapolic graphs and quadratic equations.
Solving factorised equations

Class notes, Blank notes 

Solving quadratics p65 Ex 5.01

Solving Quadratics

p27 | AimEx p20

20

Solving quadratic equations with factorising first.
Solving involving rearranging and factorising.

Class notes, Blank notes 

Solving with factorising p66 Ex 5.02
Solving with rearranging p68 Ex 5.03

Solving Quadratics

p28

21

Forming quadratic equations.
Solving quadratic application problems

Class notes, Blank notes 

Quadratic Equations p69 Ex 5.04
Quadratic Applications p70 Ex 5.05

Solving Quadratics

p29 | AimEx p21

22

Application problems continued.

Quadratic Equations p69 Ex 5.04
Quadratic Applications p70 Ex 5.05

Solving Quadratics

p30

23

Simultaneous equation overview.
Simple simultaneous equations involving addition & subtraction.

Class notes, Blank notes 

Solving p77 Ex 6.01
Simultaneous Equation p78 Ex6.02

Simultaneous Equations

p31

24

Solving simultaneous equations by adhusting the coefficients of one or both equations

Class notes, Blank notes 

Adjusting coefficients p80 Ex6.03

Simultaneous Equations

p32 & 33

25

Solving simultaneous equations by substituting one equation into the other

Class notes, Blank notes 

Substitution p82 Ex 6.04
p83 Ex 6.05    p84 Ex 6.06

p33 & 34 | AimEx p14

26

Solving word problems involving simultaneous applications

Class notes, Blank notes 

Application problems p86 Ex 6.08 & 6.09

p35 & 36 | AimEx p15, p16

27

Introducing inequalities, number lines.
Solving inequalities

Class notes, Blank notes 

Inequalities p58 Ex 4.12    p60 Ex 4.13
p62 Ex 4.14   p63 Ex 4.15

Inequalities

p24, 25, 26 | AimEx p10

28

Factorising and simplifying algebra fractions

Class notes, Blank notes 

Simplifying p92 Ex 7.04
p93 Ex 7.05

p39 & 40

29

Rearranding formula to change the subject, including powers & roots.
Rearranging applications.

Class notes, Blank notes 

Solving: p39 Ex 3.04
p39 Ex 3.05

30

Getting ready for assessment

Practice 1, Ans | Practice 2 Ans
Revision A Ans | Revision B Ans

Revision p96

Revision A B

AimEx 11 Revision p24