More Algebra for Everyone

Name: More Algebra for Everyone
SKU: 5938
Price: 44.95 NZD
Availability: InStock
Author: Vaneeta Manners
ISBN: 9781776552283

Activities to help students to tackle algebra with confidence

By
Vaneeta Manners

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

Series: Algebra for Everyone Series

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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.

Contents
Introduction	4
1. The language of algebra	5
1.1 Key vocabulary	5
1.2 Understanding the language of algebra	6
2. Special expansions	7
2.1 Expanding binomial products	7
2.2 Expanding binomial products – challenge yourself!	8
2.3 Special binomial products – a difference of two squares	9
2.4 Special binomial products – a perfect square	10
2.5 Binomial product review	11
3. Special factorisations	12
3.1 Factorisation summarised	12
3.2 Factorising a difference of two squares	13
3.3 Factorising a difference of two squares – challenge yourself!	14
3.4 Factorising quadratic trinomials – getting ready	15
3.5 How to factorise a monic quadratic trinomial using trial and error	16
3.6 Factorising a monic quadratic trinomial – starting out	17
3.7 Factorising a non-monic quadratic trinomial – next steps	18
3.8 Factorising a non-monic quadratic trinomial – challenge yourself!	19
3.9 Factorising a perfect square	20
3.10 Factorising that involves grouping in pairs	21
3.11 Review: Special factorisation dominoes	22
3.12 Review: Recognising different types of factorisations	23
3.13 Mixed factorising	24
4. Algebraic fractions	25
4.1 Revision: Adding and subtracting algebraic fractions	25
4.2 Revision: Multiplying and dividing algebraic fractions	26
4.3 Simplifying a single algebraic fraction using factorisation	27
4.4 Adding and subtracting algebraic fractions – forming a common denominator	28
4.5 Adding and subtracting algebraic fractions – next steps	29
4.6 Compound fractions	30
4.7 Multiplying and dividing algebraic fractions	31
4.8 Algebraic fractions – factorising negative one	32
4.9 Review: Algebraic fractions	33
4.10 Review: Spot the error with algebraic fractions	34
5. Indices	35
5.1 "Powers of" table	35
5.2 Arithmetic with negative indices	36
5.3 Simplifying algebraic expressions with negative indices	37
5.4 Fractions and negative powers	38
5.5 Fractions and negative powers – challenge yourself!	39
5.6 Arithmetic with fractional indices	40
5.7 Review: Arithmetic involving negative and fractional indices	41
5.8 Review: Arithmetic expressions with negative and fractional indices	42
5.9 Review: Algebraic expressions with negative and fractional indices	43
5.10 Review: Spot the error with index laws	44
5.11 Indices – change of base	45
5.12 Solving exponential equations	46
5.13 Review: Indices dominoes	47
5.14 Review: Match your Q&As	48
5.15 Review: Match your Q&As – challenge yourself!	49
6. Surds	50
6.1 The real number system	50
6.2 Simplifying surds	51
6.3 Spot the error with surds	52
6.4 Multiplying and powers of surds	53
6.5 Review: Surds – dividing and rationalising the denominator	54
6.6 Review: Application problems with surds	55
6.7 Review: Four operations with surds	56
6.8 Review: Rational or irrational?	57
6.9 Surds and indices – the combined rules	58
7. General review	59
7.1 Legal or illegal?	59
Answers	60