Senior Secondary 1 | Mathematics

Action steps

1. Convert one base to base 10

2. Convert decimal fraction to base 10

3. Convert number from one base to another 11 bases

4. Perform addition, subtraction, multiplication and division of number bases

Action steps

1. Define the concept of module arithmetic using: addition, subtraction and multiplication of module arithmetic

2. Apply the concept to solve problems

Action steps

1. Define logarithm of a number in base 10

2. Convert numbers to standard form; laws of indices, indicial equations.

3. Express logarithm as inverse of indices

4. Construct a graph of y = 10x

5. Use logarithm and anti-logarithm tables of numbers greater than one,

6. Use the laws of logarithms to solve problems involving multiplication, division, powers, and roots

Action steps

1. Define a set

2. Use set notation to represent a set

3. Identify the types of sets

4. Draw, interpret and use Venn diagrams

5. Apply the use of Venn diagrams in solving real life problems

Action steps

1. Change the subject of formulae involving brackets

2. Use root and powers to solve equations

3. Describe types of variations – direct, inverse, joint and partial

Action steps

1. Solve quadratic equations of the form = 0, a=0, or b=0

2. Construct quadratic equations with given roots

3. Draw graphs of quadratic equations

4. Solve word problems involving real life situations

Action steps

1. Give the meaning of a simple statement with examples

2. Identify true or false statements

3. State the negation of a simple statement

4. Distinguish between simple statements and compound statements

5. Give examples of conjunction, distinction, implication and bi-implication

6. Write the truth value of a compound statement involving any of the five logical operations

Action steps

1. Construct triangles with given sides and then bisect a given segment

2. Construct triangles with given sides and then bisect a given angle

3. Construct triangles with given sides and then bisect special angles of 30, 45, 60, and 90 degrees

4. Construct equivalent angles

5. Construct planes that have 4 sides

6. Construct a point equidistant from: 2 points; 2 lines; a fixed point, etc.

Action steps

1. Write out formal proofs of some basic theorems in Euclidean geometry

2. Apply the proofs in solving practical problems involving Euclidean geometry

3. Apply the skills of deduction in proving riders on angles on parallel lines

4. Apply the skills of deduction in proving riders on angles in polygons

5. Apply the skills of deduction in proving riders on congruent triangles

6. Apply the skills of deduction in proving riders on properties of parallelograms

7. Apply the skills of deduction in proving riders on the intercept theorem

8. Solve the problem on riders in Euclidean geometry

Action steps

1. Solve problems involving the use of sine, cosine and tangent right angled triangles

2. Derive trigonometric ratios of 30 degrees, 45 degrees and 60 degrees

3. Apply the use of trigonometric ratios of 45, 30, and 60 to solve problems without the use of calculating aids

4. Relate sine and cosine ratios to the unit circle

5. Draw graphs of the sine and cosine of angles

Action steps

1. Revise the components of a circle

2. Find the length of arcs practically

3. Find the length of arcs using a formula

4. Determine the perimeter of sectors of circles

5. Determine the perimeter of segments of circles

6. Determine the area of a sector

7. Determine the relationship between the sector of a circle and the surface area of a cone

8. Find the surface areas and volumes of cubes, cuboids, cylinders, cones, prisms, and py-ramids.

9. Find the surface area and volume of a fraction of a cone and a pyramid

10. Find the surface area and volume of compound shapes

Action steps

1. Collect, tabulate and present data in a meaningful form

2. Construct frequency tables

3. Identify and draw different types of linear graphs and bar-charts

4. Draw histograms with equal and unequal sides

5. Differentiate between bar-charts and histograms

6. Draw accurate pie charts

7. Interpret pie charts

8. Construct frequency polygons for given distributions