Senior Secondary 2 | Mathematics

First Term

Objective: Apply logarithm functions to solve problems

Action steps

1. Use the logarithm table to perform calculations involving numbers greater than 1

2. Compare characteristics of logarithms with the standard form of a number

3. Use logarithm table to perform calculations involving numbers less than 1 involving multiplication, division, power, and roots

4. Solve simple logarithmic equations

Objective: Use approximations

Action steps

1. Approximate numbers to the nearest ten, hundred, thousand, million, billion and trillion

2. Determine the degree of accuracy of results

3. Calculate percentage error of a result or measurement

4. Apply approximation to everyday life

Objective: Define sequence and series

Action steps

1. State meaning and types of sequences

2. Solve problems involving arithmetic progression

3. Solve problems involving geometric progression

Objective: Solve quadratic equations

Action steps

1. Express quadratic equations as perfect squares

2. Solve quadratic equations that are perfect squares

3. Deduce and apply the quadratic formula in solving quadratic equation problems

4. Form quadratic equations using the sum and product of the given roots

5. Form quadratic equation from word problems

6. Solve quadratic equation from word problems

Objective: solve simultaneous linear and quadratic equation

Action steps

1. Solve Simultaneous linear equations using elimination

2. Solve Simultaneous linear equations using substitution

3. Solve Simultaneous linear equations using graphical methods

4. Use simultaneous linear and quadratic equations to solve other related equations

5. Use graphing to solve other related equations

Objective: Understand the gradient of a curve

Action steps

1. Define and identify the X-intercept and Y- intercept of any linear graph

2. Draw the graph of the linear equation ax+by + c = 0.

3. Understand the gradient of a line using two given points

4. Understand the gradient of a curve from a quadratic equation

5. Understand the gradient of a curve using the Y intercept

6. Draw the graph of a linear equation by using the gradient method

7. Find the equation of a line by using a point on the line

8. Find the equation of a line by using a two point equation

9. Draw tangents to a curve at a given point

Second Term

Objective: Use logical reasoning to solve real-world and mathematical problems

Action steps

1. Give the meaning of simple and compound statements

2. List the five logical operations and their symbols

3. Write the true value of a compound statement and involve any of the five logical operations

4. Use a truth table to prove that a contra-positive is equivalent to the conditional statement

5. Use a truth table to prove that a converse is equivalent to an inverse of a conditional statement

4. Apply contra-positive and inverse in proving theories

5. Determine the gradient of a curve at a given point by reading the graph

Objective: Understand linear inequalities and solve problems using them

Action steps

1. Solve linear inequalities in one variable

2. Solve problems on inequalities in two variables

3. Combine two inequalities to form a component inequality

4. Solve and graph compound inequalities

5. Draw graphs of linear inequalities in two variables

6. Obtain the required region that satisfies simultaneous linear inequalities

7. Deduce the maximum and the minimum values from linear inequalities

8. Solve word problems using linear inequalities

Objective: Understand and apply theorems on circles

Action steps

1. Prove that the angle which an arc subtends at the center is twice the angle it subtends at the circumference

2. Solve practical problems using circle theorems

3. Prove that the angles in the same segment of a circle are equal

4. Prove that an angle in a semi-circle is a right angle

5. Prove that the opposite angles in a cyclic quadrilateral are supplementary

6. Prove that the exterior angle is equal to interior opposite angles

7. Prove riders on tangents to a circle

Third Term

Objective: Apply trigonometry to solve problems

Action steps

1. Derive the sine rule

2. Apply the sine rule to solve problems

3. Derive the cosine rule

4. Apply the cosine rule to solve problems

Objective: Apply bearings to solve problems in trigonometric ratios

Action steps

1. Solve problems in trigonometric ratios and angles of elevation and depression

2. Define 4,8,16 cardinal points

3. State two bearing notations and perform an exercise on writing down bearings

4. Solve practical problems on bearings

Objective: Understand measures of central tendency

Action steps

1. Explain meaning and compute mean; median and mode of ungrouped frequency distribution.

Objective: Understand measures of dispersion

Action steps

1. Explain the meaning of dispersion

2. Compute the range, variance and standard deviation of values in an ungrouped frequency table

3. Identify its application in capital market studies, health, population etc.

Objective: Understand histograms of grouped data (revision)

Action steps

1. Appreciate and state the need for grouping data

2. Form a grouped frequency table

3. Calculate class boundaries, class intervals, and class mark (mid-mark).

Objective: Compute cumulative frequency graphs

Action steps

1. Compute cumulative frequency of grouped data

2. Draw cumulative frequency curves

3. Make estimates from cumulative frequency curves and apply to real life situations

4. Apply cumulative frequency curves to real life situations

Objective: Determine measures of central tendency for grouped data

Action steps

1. Determine the mean, the median and the mode of grouped data

Objective: Define probability

Action steps

1. Define and explain some important terms used in probability

2. Give practical examples of each term

3. List the chance instruments used in probability

4. Explain frequents approach to theoretical probabilities

5. Describe examples of probability sample space

6. Solve examples of probability sample space

7. Solve simple problems on probability

8. Identify and solve various problems on probability involved in: health, finance, and population demographics

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