Algebra for Everyone Cover

Algebra for Everyone

Activities to help students to tackle algebra with confidence

Algebra needs to be taught well if all students are to gain the solid foundation they need to work confidently with this fundamental curriculum strand and to progress with the mathematics curriculum more broadly.

The first book in the Algebra for Everyone series has been created to provide the informed, practical support both teachers and students need to get algebra learning off to a strong start. Concepts are presented in a variety of ways to help students build 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: 13-15 | Pages: 80 | Code: 5821 | ISBN: 9781927273807

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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.

Contents

Introduction4
Overview of activities4
1. The language of algebra8
1.1 Key algebra vocabulary8
1.2 Identification – coefficient, pronumeral, power, term9
2. Algebra lesson starters10
3. Addition and subtraction11
3.1 Finding like terms11
3.2 Like terms or not?11
3.3 Sorting like and unlike terms12
3.4 Like terms in the class13
3.5 Collecting like terms without directed number15
3.6 Collecting like terms with directed number16
3.7 Magic square mania17
4. Multiplication and division18
4.1 Multiplication basics and beyond18
4.2 Building fluency with basic addition and multiplication19
4.3 Multiplication mania20
4.4 Division basics21
4.5 Division practice22
4.6 Power of powers basics23
4.7 Power of powers practice24
4.8 Mixed review: Multiplication, division and powerof powers25
5. Expanding and factorising26
5.1 Expanding brackets26
5.2 Expanding brackets – challenge yourself!27
5.3 Finding the highest common factor28
5.4 Factorising practice29
6. Substitution30
6.1 Imaginary operations in algebra30
6.2 Substitution without directed number31
6.3 Substitution with directed number32
6.4 Substitution flowcharts33
6.5 Substitution flowcharts – challenge yourself!34
6.6 Building fluency with substitution35
6.7 Building fluency with substitution –challenge yourself!36
7. Writing algebraic expressions37
7.1 What is the total number of ...?37
7.2 How old and how much money?38
7.3 Measurements in simplest form39
8. Solving equations40
8.1 Reverse operations40
8.2 More reverse operations41
8.3 Advancing with solving one-step equations42
8.4 Advancing with solving one-step equations with directed number43
8.5 Advancing with solving two-step equations44
8.6 Advancing with solving three-step equations45
8.7 Does the solution "satisfy" the equation?46
8.8 Spot and correct the errors in equations47
8.9 Using equations to solve word problems48
8.10 Algebra magic49
8.11 Algebraic expression vs equation50
8.12 Solving inequalities51
9. Algebraic fractions52
9.1 Adding and subtracting algebraic fractions52
9.2 Multiplying and dividing algebraic fractions53
10. Review54
10.1 Algebraic misconceptions54
10.2 Spot the error55
10.3 Explain and correct the error56
10.4 The language of algebra57
10.5 Create your own equivalent algebraic expressions58
10.6 Equivalent algebraic expressions – what is the question?59
10.7 Matching equivalent algebraic expressions60
10.8 Fill in the blanks61
10.9 Order of operations and algebra62
10.10 Algebra dominoes63
10.11 Algebra bingo64
Answers67