Contents |
Introduction | 4 |
Overview of activities | 4 |
1. The language of algebra | 8 |
1.1 Key algebra vocabulary | 8 |
1.2 Identification – coefficient, pronumeral, power, term | 9 |
2. Algebra lesson starters | 10 |
3. Addition and subtraction | 11 |
3.1 Finding like terms | 11 |
3.2 Like terms or not? | 11 |
3.3 Sorting like and unlike terms | 12 |
3.4 Like terms in the class | 13 |
3.5 Collecting like terms without directed number | 15 |
3.6 Collecting like terms with directed number | 16 |
3.7 Magic square mania | 17 |
4. Multiplication and division | 18 |
4.1 Multiplication basics and beyond | 18 |
4.2 Building fluency with basic addition and multiplication | 19 |
4.3 Multiplication mania | 20 |
4.4 Division basics | 21 |
4.5 Division practice | 22 |
4.6 Power of powers basics | 23 |
4.7 Power of powers practice | 24 |
4.8 Mixed review: Multiplication, division and powerof powers | 25 |
5. Expanding and factorising | 26 |
5.1 Expanding brackets | 26 |
5.2 Expanding brackets – challenge yourself! | 27 |
5.3 Finding the highest common factor | 28 |
5.4 Factorising practice | 29 |
6. Substitution | 30 |
6.1 Imaginary operations in algebra | 30 |
6.2 Substitution without directed number | 31 |
6.3 Substitution with directed number | 32 |
6.4 Substitution flowcharts | 33 |
6.5 Substitution flowcharts – challenge yourself! | 34 |
6.6 Building fluency with substitution | 35 |
6.7 Building fluency with substitution –challenge yourself! | 36 |
7. Writing algebraic expressions | 37 |
7.1 What is the total number of ...? | 37 |
7.2 How old and how much money? | 38 |
7.3 Measurements in simplest form | 39 |
8. Solving equations | 40 |
8.1 Reverse operations | 40 |
8.2 More reverse operations | 41 |
8.3 Advancing with solving one-step equations | 42 |
8.4 Advancing with solving one-step equations with directed number | 43 |
8.5 Advancing with solving two-step equations | 44 |
8.6 Advancing with solving three-step equations | 45 |
8.7 Does the solution "satisfy" the equation? | 46 |
8.8 Spot and correct the errors in equations | 47 |
8.9 Using equations to solve word problems | 48 |
8.10 Algebra magic | 49 |
8.11 Algebraic expression vs equation | 50 |
8.12 Solving inequalities | 51 |
9. Algebraic fractions | 52 |
9.1 Adding and subtracting algebraic fractions | 52 |
9.2 Multiplying and dividing algebraic fractions | 53 |
10. Review | 54 |
10.1 Algebraic misconceptions | 54 |
10.2 Spot the error | 55 |
10.3 Explain and correct the error | 56 |
10.4 The language of algebra | 57 |
10.5 Create your own equivalent algebraic expressions | 58 |
10.6 Equivalent algebraic expressions – what is the question? | 59 |
10.7 Matching equivalent algebraic expressions | 60 |
10.8 Fill in the blanks | 61 |
10.9 Order of operations and algebra | 62 |
10.10 Algebra dominoes | 63 |
10.11 Algebra bingo | 64 |
Answers | 67 |