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Year 8
1. Rational Numbers
1.1. Understanding Rational Numbers
1.2. Standard Form and Equivalent Rational Numbers
1.3. Comparison of Rational Numbers
1.4. Representation of Rational Numbers on the Number Line
1.5. Addition and Subtraction of Rational Numbers
1.6. Multiplication and Division of Rational Numbers
2. Square and Square Roots
2.1. Square of a Number
2.2. Square Root
3. Cube and Cube Roots
3.1. Cube of a Number
3.2. Cube Root
4. Exponents
4.1. Exponent and Exponential Form
4.2. Solving Expressions Involving Exponents
4.3. Laws of Exponents
4.4. Word Problems on Exponents
4.5. Finding the Unknown from the Given Exponential Equation
4.6. Standard and Usual Form of Numbers
4.7. Operations on Large Numbers
5. Direct and Inverse Proportions
5.1. Direct Proportions
5.2. Inverse Proportions
6. Time and Work
7. Percentage
7.1. Conversions
7.2. Percentage of a Quantity
7.3. Solving Expressions Involving Percentages
7.4. Word Problems on Percentage
8. Profit and Loss
8.1. Terms Related to Profit and Loss
8.2. Problems on Finding the Gain/Loss and Gain%/Loss%
8.3. Problems on Finding the SP of the Article
8.4. Problems on Finding the CP of the Article
8.5. Problems on Finding the Number of Articles
8.6. Discount
8.7. Tax
9. Compound Interest
9.1. Compound Interest Compounded Annually
9.2. Finding Time, Rate and Principal
9.3. Compound Interest Compounded Half-Yearly and Quarterly
9.4. Applications of Compound Interest
10. Algebraic Expressions
10.1. Operations on Algebraic Expressions
11. Linear Equations in One Variable
11.1. Solving Linear Equations by the Method of Transposition
11.2. Word Problems Based on Linear Equations
12. Factorization
12.1. Factorization by Taking Out the Common Factor
12.2. Factorization by Grouping
12.3. Factorization When the Expression is a Difference of Two Squares
12.4. Factorization When the Expression is a Perfect Square
12.5. Factorization by Middle Term Splitting
13. Playing with Numbers
13.1. Numbers in Generalized Form
13.2. Tests of Divisibility
13.3. Replacing Alphabets with Suitable Numbers
14. Geometry
14.1. Curve
14.2. Polygon
14.3. Quadrilaterals
15. Graphs
15.1. Introduction to Graphs
15.2. Identify the Coordinates and the Quadrants
15.3. Drawing and Reading Graphs
16. Mensuration
16.1. Area of a Trapezium
16.2. Area of Polygon
17. Volume and Surface Area
17.1. Volume and Surface Area of Cuboid
17.2. Volume and Surface Area of Cube
17.3. Volume and Surface Area of Cylinders
17.4. Mixed Problems on Volume and Surface Area
18. Three-Dimensional Figures
18.1. Identifying 3-D Shapes
18.2. Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Prism and Pyramid)
18.3. Euler's Relation for 3-Dimensional Figures
19. Probability
20. Data Handling
20.1. Introduction to Data Handling
20.2. Frequency Distribution
20.3. Bar Graphs
20.4. Pie Charts

Year 8 New Zealand School Math Year 8

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