Topics
1Number
- Rational numbers — representation on number line
- Properties — closure, commutative, associative, distributive
- Operations on rational numbers
- Finding rational numbers between two given numbers
- Converting recurring decimals to rational numbers
- Square roots and cube roots — prime factorization
- Properties of squares and cubes
- Laws of exponents — all laws
- Scientific notation — operations and applications
- Solving exponential equations with same base
- Simple and compound interest
- Discount and tax
2Algebra
- Polynomials — simplification with all four operations
- Making subject formulas
- Factorization of linear expressions
- Introduction to quadratic expressions
- Factorization using identities
- Factorization — grouping and middle term splitting
- Simplifying algebraic fractions
- Simultaneous equations — substitution and elimination
- Solving quadratic equations — middle term splitting and quadratic formula
- Gradient, slope-intercept, point-slope and standard forms
- Linear inequalities — representation on number line
3Geometry
- Tessellation — introduction and transformations
- Translation and reflection — on x and y axis
- Rotation and rotational symmetry
- Dilation — finding dilation factor
- Properties of quadrilaterals — parallelogram, trapezium, kite
- Heron's formula
- Area — trapezium, parallelogram, rhombus, kite and compound shapes
- Circle geometry — area and circumference
- Surface area and volume — prisms and cylinders
- Surface area and volume — cones and spheres
- Surface area and volume — hemispheres and composite shapes