More Algebra for Everyone Cover

More Algebra for Everyone

Activities to help students to tackle algebra with confidence

The second book in the Algebra for Everyone series builds on the first book by offering more advance algebra activities. Concepts are presented in a variety of ways to help students further their understanding and to gain extensive practice without it feeling repetitive. Interactivity is another effective feature as students work with each other to strengthen their understanding of the main algebraic techniques.

Ages: 13-16 | Pages: 80 | Code: 5938 | ISBN: 9781776552283

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Picture of Vaneeta Manners

Vaneeta Manners

Vaneeta Manners has over 12 years’ experience in secondary mathematics education. During her career to date, she has taught in Australia, the United States of America, the United Kingdom and Switzerland, and her work has included teaching the international baccalaureate syllabus. She is passionate about making mathematics accessible to all students, particularly those who struggle with the subject. Vaneeta enjoys developing classroom resources and activities that engage, motivate and challenge students. She currently works in New South Wales, Australia as an assistant head of mathematics.


1. The language of algebra5
1.1 Key vocabulary5
1.2 Understanding the language of algebra6
2. Special expansions7
2.1 Expanding binomial products7
2.2 Expanding binomial products – challenge yourself!8
2.3 Special binomial products – a difference of two squares9
2.4 Special binomial products – a perfect square10
2.5 Binomial product review11
3. Special factorisations12
3.1 Factorisation summarised12
3.2 Factorising a difference of two squares13
3.3 Factorising a difference of two squares – challenge yourself!14
3.4 Factorising quadratic trinomials – getting ready15
3.5 How to factorise a monic quadratic trinomial using trial and error16
3.6 Factorising a monic quadratic trinomial – starting out17
3.7 Factorising a non-monic quadratic trinomial – next steps18
3.8 Factorising a non-monic quadratic trinomial – challenge yourself!19
3.9 Factorising a perfect square20
3.10 Factorising that involves grouping in pairs21
3.11 Review: Special factorisation dominoes22
3.12 Review: Recognising different types of factorisations23
3.13 Mixed factorising24
4. Algebraic fractions25
4.1 Revision: Adding and subtracting algebraic fractions25
4.2 Revision: Multiplying and dividing algebraic fractions26
4.3 Simplifying a single algebraic fraction using factorisation27
4.4 Adding and subtracting algebraic fractions – forming a common denominator28
4.5 Adding and subtracting algebraic fractions – next steps29
4.6 Compound fractions30
4.7 Multiplying and dividing algebraic fractions31
4.8 Algebraic fractions – factorising negative one32
4.9 Review: Algebraic fractions33
4.10 Review: Spot the error with algebraic fractions34
5. Indices35
5.1 "Powers of" table35
5.2 Arithmetic with negative indices36
5.3 Simplifying algebraic expressions with negative indices37
5.4 Fractions and negative powers38
5.5 Fractions and negative powers – challenge yourself!39
5.6 Arithmetic with fractional indices40
5.7 Review: Arithmetic involving negative and fractional indices41
5.8 Review: Arithmetic expressions with negative and fractional indices42
5.9 Review: Algebraic expressions with negative and fractional indices43
5.10 Review: Spot the error with index laws44
5.11 Indices – change of base45
5.12 Solving exponential equations46
5.13 Review: Indices dominoes47
5.14 Review: Match your Q&As48
5.15 Review: Match your Q&As – challenge yourself!49
6. Surds50
6.1 The real number system50
6.2 Simplifying surds51
6.3 Spot the error with surds52
6.4 Multiplying and powers of surds53
6.5 Review: Surds – dividing and rationalising the denominator54
6.6 Review: Application problems with surds55
6.7 Review: Four operations with surds56
6.8 Review: Rational or irrational?57
6.9 Surds and indices – the combined rules58
7. General review59
7.1 Legal or illegal?59