The following summary contains a complete listing of the chapters, along with a sample question from each chapter.

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CHAPTER 1 - RATIONAL NUMBERS

1.1 Integers
1.2 Decimals
1.3 Fractions
1.4 Order of Operations
1.5 Fractions <—> Decimals <—> Percent
1.6 Percent Conditions
1.7 Properties of Whole Numbers
1.8 Review

CHAPTER 2 - EQUATIONS & INEQUALITIES

2.1 Solving Type I Equations
2.2 Solving Type II Equations
2.3 Solving Type III Equations
2.4 Solving Type IV Equations
2.5 Solving Ratio Equations
2.6 Inequalities & Graphing
2.7 Equations with Letters
2.8 Review

CHAPTER 3 - RATIO & PROPORTION AND FORMULA PROBLEMS

3.1 Rate & Ratio Problems
3.2 General Formula Problems
3.3 Rate of Work Problems
3.4 Percent Problems
3.5 Distance Problems
3.6 Cost Problems
3.7 Discount Problems
3.8 Average Problems
3.9 The Selling Formula
3.10 Commission Problems
3.11 Interest Problems
3.12 Sale, GST & Basic Income Tax
3.13 Property Tax
3.14 Review

CHAPTER 4 - ALGEBRAIC PROBLEMS

4.1 Translation (Math <—> English)
4.2 Number Problems
4.3 Geometric Problems
4.4 Old-Fashioned Problems
4.5 Age Problems
4.6 Coin Problems
4.7 Mixture Problems
4.8 Distance (dA + dB = dT)
4.9 Distance (dA = dB) - 51
4.10 Review

CHAPTER 5 - GEOMETRY

5.1 Angles in Mathematics
5.2 Interior Angle Sum
5.3 Geometric Constructions
    1. Congruent Segments
    2. Congruent Angles
    3. Perpendicular Bisector
    4. Perpendicular (Point Not On Line)
    5. Perpendicular (Point On a Line)
    6. Angle Bisector
    7. Parallel Lines (Rhombus Method)
    8. Parallel Lines (Corresponding ?'s)
    9. Equilateral Triangles
    10. Isosceles Triangles
    11. Angles
    12. Congruent Triangles (SSS)
    13. Congruent Triangles (SAS)
    14. Congruent Triangles (ASA)
    15. Inscribed Square
    16. Rhombus
    17. Rectangle
    18. Parallelogram

5.4 Review

CHAPTER 6 - MEASUREMENT

6.1 Metric Conversion
6.2 Volume, Capacity & Mass
6.3 Perimeter of Polygons
6.4 Area of Polygons
6.5 Review
6.6 Area of Shaded Regions

CHAPTER 7 - PYTHAGORAS

7.1 Labelling Vertices & Sides
7.2 Labelling Right Angle Triangles
7.3 Area of Squares
7.4 Triplets & Triads
7.5 Squares Roots
7.6 Calculations

CHAPTER 8 - TRIGONOMETRY

8.1 Right Angle Triangle Calculations
8.2 Trigonometry Tables

CHAPTER 9 - PRISMS, PYRAMIDS, CONES & SPHERES

9.1 Definitions
9.2 Rectangular Prisms
9.3 Square Prisms
9.4 Cubes
9.5 Triangular Prisms
9.6 Regular Polygonal Prisms
9.7 Cylinders
9.8 Review
9.9 Volume of Prisms
9.10 Volume of Pyramids & Cones
9.11 Area & Volume of Spheres
9.12 Review (Area & Volume)

CHAPTER 10 - EXPONENTS

10.1 Positive & Negative Exponents
10.2 Multiplication with Exponents
10.3 Division with Exponents
10.4 Power of a Power Property
10.5 Calculations with Exponents
10.6 Scientific Notation
10.7 Multiplication & Division
10.8 Square Roots & Cube Roots
10.9 Radicals (x and ?÷)
10.10 Radicals (+ and –)
10.11 Review

CHAPTER 11 - ALGEBRA

11.1 Geometric Definitions
11.2 Substitution & Calculation
11.3 Monomials (+ and –)
11.4 Polynomials (+ and –)
11.5 Algebra Tiles (+ and –)
11.6 Monomials (x and ÷)
11.7 Polynomials (x and ÷)
11.8 Division of Polynomials
11.9 Review
11.10 Factoring
    1. Common Factoring
    2. Factoring by Grouping
    3. Difference of Squares
    4. Trinomials (No coefficient)
    5. Trinomials (Coefficients)

11.11 Reducing Rational Expressions
11.12 Rational Expressions (x and ÷)
11.13 Rational Expressions (+ and –)
11.14 Rational Number Review

CHAPTER 12 - THE COORDINATE PLANE

12.1 Plotting Points
12.2 Transalations (Slides)
12.3 Reflections (Flips)
12.4 Rotations (Turns)
12.5 Dilations
12.6 Linear Graphs
12.7 Parabolas
12.8 Hyperbolas
12.9 Review

CHAPTER 13 - DATA MANAGEMENT

13.1 Statistics
13.2 Characteristics of Data
13.3 Box and Whisker Plots
13.4 Stem and Leaf Plots
13.5 Displaying Data
1. Broken Line Graphs
    2. Bar Graphs
    3. Circle Graphs

13.6 Probability
13.7 Probability (Independent Events)

CHAPTER 14 - CIRCLE GEOMETRY

14.1 Angles Within a Circle
14.2 Chord Properties
14.3 Tangents
14.4 Circle Geometry Review

 

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