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Year 10
1. Real numbers
1.1. Euclid's Division Lemma
1.2. Fundamental Theorem of Arithmetic, LCM, HCF
1.3. Rational Numbers
1.4. Irrational Numbers
2. Polynomials
2.1. Zeros of a Quadratic Polynomial
2.2. Zeros of a Cubic Polynomial
2.3. Division Algorithm for Polynomials
3. Linear Equations in Two Variables
3.1. Forming Linear Equations Under the Given Conditions
3.2. Solutions of a Linear Equation
3.3. Solving a System of Simultaneous Linear Equations
3.4. Conditions for Solvability of a System of Linear Equations
3.5. Word Problems on Linear Equations in Two Variables
4. Triangles
4.1. Basic Proportionality Theorem (Thales's Theorem) and its Applications
4.2. Angle-Bisector Theorem and its Applications
4.3. Similar Triangles
4.4. Pythagoras Theorem
5. Trigonometry
5.1. Trigonometric Ratios
5.2. Trigonometric Ratios of Angles 0, 30, 45, 60, and 90 degrees
5.3. Trigonometric Ratios of Complementary Angles
5.4. Trigonometric Identities
5.5. Heights and Distances
6. Statistics and Probability
6.1. Statistics
6.2. Probability
7. Quadratic Equations
7.1. Identify Quadratic Equations
7.2. Solutions of a Quadratic Equation
7.3. Solve Quadratic Equations by Factorization
7.4. Solve Quadratic Equations by Completing the Square
7.5. Solve Quadratic Equations by Using Quadratic Formula
7.6. Nature of Roots of a Quadratic Equation
7.7. Word Problem on Quadratic Equations
8. Arithmetic Progression (AP)
8.1. Tell if a Progression is an Arithmetic Progression (AP)
8.2. Find the Unknown Variable(s) in an AP
8.3. Find the Numbers in AP Under Specified Conditions
8.4. General Term (nth Term) of an AP
8.5. General Term (nth Term) from the End of an AP
8.6. Arithmetic Mean
8.7. Sum of n Terms of an Arithmetic Progression (AP)
8.8. Word Problems on Arithmetic Progressions (AP)
9. Circles
9.1. Theorems and Results Related to Tangents of Circles
10. Coordinate Geometry
10.1. Distance Formula
10.2. Section Formula and Midpoint Formula
10.3. Centroid of a Triangle
10.4. Area of Triangle and Parallelogram
11. Mensuration
11.1. Perimeter and Area of Plane Figures
11.2. Surface Areas and Volumes

Year 10 Australian School Math Year 10

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