Senior Secondary 3 | Mathematics

Action steps

1. Differentiate between rational and irrational numbers

2. State the rules of addition and subtraction and apply them in simplifying surds

3. State the rules of multiplication and division and apply them in simplifying surds

4. Conjugate binomial surds

5. Apply the concept of surds to problems involving trigonometric ratios of angle 30̊, 60̊, 45̊

Action steps

1. Define a matrix

2. State the order and notation of a matrix

3. Define and describe types of matrices

4. Perform the operation of addition, subtraction of matrices

5. Multiply matrices by a scalar quantity

6. Find the transpose of matrices by interchanging the rows and columns

7. Calculate the determinants of 2 x 2 matrices

8. Apply matrices to solve simultaneous equations

Action steps

1. Demonstrate the basic laws of logarithms

2. Use the logarithm table to perform a calculation

Action steps

1. Calculate simple interest given the principle, rate and time

2. Calculate compound interest using the compound interest formula

3. Determine the depreciated value of an item

4. Compute the annuities of a given problem

5. Compute amortization in a given problem

6. Solve further problems in capital markets using the logarithm table

Action steps

1. Solve simultaneous linear and quadratic equations

2. Solve word problems on linear, quadratic and simultaneous linear and quadratic equations

3. Solve problems on linear equations involving capital markets

Action steps

1. Draw graphs of sine and cosine for 0 ≤ x ≤ 360

2. Interpret/read graphs of trigonometric ratios

3. Construct graphical solutions of simultaneous linear equations and trigonometric equations

Action steps

1. Find the surface area of a sphere

2. Find the volume of a sphere

Action steps

1. Identify (using skeletal globe and using real globe) north and south poles

2. Identify (using skeletal globe and using real globe) longitude

3. Identify (using skeletal globe and using real globe) latitude

4. Identify (using skeletal globe and using real globe) meridian and equator

5. Identify (using skeletal globe and using real globe) parallel of latitude

6. Identify (using skeletal globe and using real globe) radius of parallel of latitude

7. Identify (using skeletal globe and using real globe) radius of the earth

8. Calculate the length of parallel of latitude

Action steps

1. Define cartesian coordinates

2. Use cartesian coordinates to plot linear graphs

3. Determine the distance between two coordinate points

4. Find the mid-point of the line joining two points

5. Demonstrate a practical application of using coordinate geometry

6. Describe the gradient and intercept of a straight line

Action steps

1. Define the gradient and intercept of a line

2. Find the angle between two intersecting straight lines

3. Apply linear graphs to real life situations

Action steps

1. Define a differentiation/derived function

2. Apply differentiation from first principles

3. Determine the standard derivative of some basic functions

4. Apply rules of differentiation such as: sum and difference, product rule, and quotient rule

5. Apply maximum and minimum velocity, acceleration and rate of change to real life situations

Action steps

1. Define methods of integrations: substitution method and partial fraction method

2. Apply the integration method in calculating the area under a curve

3. Use Simpson’s rule to find the area under the curve