Grades 7 & 8

Workbook for Grade 8 Math Students:

 

Workbook without Answer Key,  Price: 13$, can be purchased here

Workbook with Answer Key (full solutions), Price:20$, can be purchased here

Answer Key with detailed solutions, Price:8$, can be purchased here



Workbook for Grade 7 Math Students:

 

Workbook without Answer Key,  Price: 13$, can be purchased here

Workbook with Answer Key (full solutions), Price:20$, can be purchased here

Answer Key with detailed solutions, Price:8$, can be purchased here

 

 

GRADE 7 - CONTENTS

 

Chapter 1 – ALGEBRA 

 

1.1 Order of operations…………………………………….…………………. …….5

1.2 Introduction to fractions..……………………………………………………….10

1.3 Decimals and fractions…………………………………….………………...….33

1.4 Types of numbers…………………………………………………………….....38

1.5 Exponents………………… ……...…………………………………………….45

1.6 Roots and rationalization…………………………………………………….....51

1.7 Percentages…………….………………………………….………………...….53

1.8 Evaluating expressions……………………… ………..…………………….…62

1.9 Expanding and factoring……………………… ………..…………………...…63

1.10 Ratios…………………………...…………… ………..…………………….…67

1.11 Equations of the first degree……..…….. ………..………………………….…69

1.12 Systems of equations first degree……..…………… ……………………….…77

1.13 Interval notation and inequalities.....………… ………..…………………….…88

1.14 Equations of the second degree………………………………….……………..97

 

Chapter 2  – GEOMETRY

 

2.1 Introduction to geometry……………………………………………………...106

2.2 Angles ……………………………………………...........................................109

2.3 Triangles………………………..………………………………………..........114

2.4 Distance and midpoint…………….…………………………………………..128

2.5 Quadrilaterals………………………………………………………………….132

2.6 Circles and complex shapes………………………………………………...…139

2.7 3D geometry volume and surface area………………………………………..144

2.8 Geometric transformations…………………………………………………....151

2.9 Congruent and similar triangles……….…………………………………........161

 

Chapter 3 – FUNCTIONS 

 

3.1 Introduction to functions………………………………………………………166

3.2 Linear functions……………………………………………………………….175

 

Chapter 4 – STATISTICS 

 

4.1 Introduction to statistics……………………………………………………….207

4.2 Bivariate data and scatter plots……………………….……………………….212

4.3 Mean, Median, Mode and Frequency diagrams………………………………221

4.4 Probability……………………………………………………………………..227

 

Chapter 5

 

5.1 International system of units………………………………………………......229

5.2 Common errors………………………………………………..........................231

 

 

GRADE 8 - CONTENTS

 

Chapter 1 – ALGEBRA 

 

1.1 Order of operations…………………………………….…………………. …….5

1.2 Introduction to fractions..………………………………………………………...6

1.3 Decimals and fractions………………………………………………………….12

1.4 Exponents………………… ……...…………………………………………….25

1.5 Algebraic expressions.………………………………………………………….31

1.6 Percentages…………….………………………………….………………...….36

1.7 Types of numbers…………………………………………………………….....47

1.8 Roots and rationalization…………………………………………………….....52

1.9 Interval notation and inequalities.....………… ………..…………………….…54

1.10 Evaluating expressions……………………… ………..…………………….…65

1.11 Equations….……….…………………………………………….……………..66

1.12 Polynomials.……….…………………………………………….……………..95

1.13 Sequences and series…………….……….……………………………………102

1.14 Equations with absolute value……………………………………………...…126

 

Chapter 2  – GEOMETRY

 

2.1 Introduction to geometry……………………………………………………...131

2.2 Angles ……………………………………………...........................................134

2.3 Squares, rectangles and triangles……………………………………………...138

2.4 Points of concurrency……………….………………………………………...152

2.5 Congruent and similar triangles……….…………………………………........158

2.6 Distance and midpoint………………………………………………………...163

2.7 Circles…………………………………………………………………………165

2.8 Quadrilaterals………………………………………………………………….174

2.9 3D geometry…………………………………………………………………..181

2.10 Geometric transformations…………………………………………………....185

 

Chapter 3 – FUNCTIONS 

 

3.1 Introduction to functions………………………………………………………196

3.2 Linear functions……………………………………………………………….206

 

Chapter 4 – STATISTICS 

 

4.1 Statistics……………………………………………………………………….234

4.2 Mean, Median, Mode and Frequency diagrams………………………………238

4.3 Probability……………………………………………………………………..245

 

Chapter 5

 

5.1 International system of units………………………………………………......247

5.2 Common errors………………………………………………..........................249