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AU Year 8 Maths Topics

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1Number Theory

1.1Divisibility Rules
1.2Determining Common Factors
1.3Determining Common Multiples
1.4Introduction to exponents
1.5Function notation (free lessons)

2Adding and Subtracting Integers

2.1Introduction to integer addition
2.2Adding integers
2.3Introduction to integer subtraction
2.4Subtracting integers
2.5Applications of integer operations

3Multiplying and Dividing Integers

3.1Understanding integer multiplication
3.2Multiplying integers
3.3Understanding integer division
3.4Dividing integers
3.5Applications of integer operations

4Number system and radicals

4.1Understanding the number systems (free lessons)
4.2Prime factorisation
4.3Greatest Common Factors (GCF)
4.4Least Common Multiple (LCM) (free lessons)
4.5Rational vs. Irrational numbers
4.6Converting repeating decimals to fractions

5Operations with Decimals

5.1Adding and subtracting decimals
5.2Multiplying decimals
5.3Dividing decimals
5.4Order of operations (BODMAS)

6Adding and Subtracting Fractions

6.1Using models to add and subtract fractions
6.2Adding fractions with like denominators
6.3Subtracting fractions with like denominators
6.4Adding and subtracting fractions with unlike denominators
6.5Adding and subtracting mixed numbers

7Multiplying and Dividing Fractions

7.1Multiplying fractions and whole numbers (free lessons)
7.2Dividing fractions with whole numbers
7.3Multiplying proper fractions
7.4Multiplying improper fractions and mixed numbers
7.5Dividing fractions and mixed numbers
7.6Applications of fraction operations

8Ratios, rates, and proportions

8.1Ratios (free lessons)
8.2Rates
8.3Proportions

9Powers, Exponents and square roots

9.1Using exponents to describe numbers (free lessons)
9.2Exponent rules
9.3Order of operations with exponents
9.4Using exponents to solve problems
9.5Squares and square roots (free lessons)
9.6Estimating square roots (free lessons)

10Rational Numbers

10.1Comparing and ordering rational numbers (free lessons)
10.2Solving problems with rational numbers in decimal form
10.3Solving problems with rational numbers in fraction form
10.4Determine square roots of rational numbers

11Proportional Relationships

11.1Understanding graphs of linear relationships (free lessons)
11.2Graphing and writing equations of proportional relationships
11.3Applications of linear relationships (free lessons)

12Percents

12.1Representing percents (free lessons)
12.2Percents, fractions, and decimals
12.3Percent of a number
12.4Adding and multiplying percents
12.5Taxes, discounts, tips and more
12.6Simple interest

13Measuring systems

13.1Metric systems (free lessons)
13.2Imperial systems
13.3Conversions between metric and imperial systems
13.4Conversions involve squares and cubic

14Coordinates, Quadrants, and Transformations

14.1Cartesian plane
14.2Draw on coordinate planes
14.3Introduction to transformations
14.4Horizontal and vertical distances

15Lines, angles and transversals

15.1Pairs of lines and angles
15.2Parallel lines and transversals
15.3Perpendicular bisectors
15.4Angle bisectors

16Properties of triangles

16.1Classifying Triangles
16.2Isosceles and Equilateral Triangles

17Scale factors and similarity

17.1Enlargements and reductions with scale factors (free lessons)
17.2Scale diagrams
17.3Similar triangles
17.4Similar polygons
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