# Maths 8-12

The mathematics curriculum for grades 8-12 requires students to use different aspects such as visualization, descriptive or analytic problem-solving, abstract or relational thinking, formal deductions and so on.

When students lack in any of these aspects, it shows on their problem-solving abilities.

Memorizing formulas and procedures are an issue for some students, who are unable to move ahead.

One of the best ways to solve this issue is by using repetitive learning methods.

Sometimes, students find mathematics difficult as they are used to following a set of rules and algorithms to solve problems.

They only solve similar problems and equations, and are clueless when presented with a different kind of problem. What students need is to be taught to read a map and not just learn up the directions to get from one place to another when it comes to their mathematics coaching.

### Basic Algebra

- Number systems.
- Linear Equations/ Simultaneous Equations.
- Solving linear equations with fractions.
- Linear inequalities.
- Exponents and surds-laws.

### Quadratic equations

- K-method.
- Completing the square.
- Quadratic formula.

### Non Linear inequalities

- Inequalities without fractions.
- Inequalities with fractions, considering scenarios and restrictions.

### Simultaneous Equations

- Solve two equations simultaneously.
- Finding the points of intersection.
- Problems leading to quadratic equations.

### Exponents, surds and logarithms

- Simplification of expressions with exponents and surds.
- Solving equations with exponents and surds.
- Simplification of expressions with logarithms.
- Solving equations with logarithms.

### Linear programming

- Solving linear programming problems.
- Drawing graphs of linear inequalities.
- Feasible region .
- Modelling real life scenarios.
- Objective function.

### Differential Calculus

- Derivative from first principles.
- Special notations and using rules of differentiation.
- Practical applications.
- Drawing cubic graphs.

### Analytical geometry

- Gradient, Angle of inclination, Equation of a line segment, collinear points.
- Distance- formula and mid-point of a line segment, Applications with triangles and quadrilaterals.
- Circle centres with tangents and normal drawn to the circle, Application with circles.

### Trigonometry

- Basic trigonometric relationships and calculator work.
- Special angles and fundamental identities.
- Reduction formulae and Co-functions.
- Solving 2-D and 3-D triangles using trigonometry.
- Double and compound angles.
- Solving equations.
- Trigonometric functions.

### Financial mathematics

- Simple interest.
- Straight line depreciation.
- Compound interest.
- Nominal and Effective interest.
- Time lines.
- Sinking fund.

### Number patters

- First line and second line differences .
- Arithmetic sequence.
- Arithmetic series and Sigma notation.
- Geometric sequence.
- Geometric series.
- ∑- notation/sigma notation
- Converging geometric series.

### Transformation Geometry

- Enlargement and reductions.
- Rotations and formula.

### Data handling

- Basic data handling and terminology.
- Graphical representation and data.
- Central tendencies.
- 5 digit summary and box-and-whisker diagram
- Cumulative frequency table and ogive.
- Standard deviation.
- Scatter plots and line of best fit.

### Financial mathematics

- Simple interest.
- Straight line depreciation.
- Compound interest.
- Nominal and Effective interest.
- Time lines.
- Sinking fund.

### Graphs and functions

- Maximum values and axis of symmetry.
- Straight line graph.
- Circle with and without the origin as centre.
- Exponential function.
- Inverse graphs and log graphs.

### Graphs and functions

- Maximum values and axis of symmetry.
- Straight line graph.
- Circle with and without the origin as centre.
- Exponential function.
- Inverse graphs and log graphs.