SS3 Mathematics 1st Term

SS3 MATHEMATICS 1ST TERM

SS3 Mathematics 1st Term Lesson Note and Scheme of Work by Week

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Attention: The internal data of table “42” is corrupted!

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Week 1: 18-09-2023

Surds

SUB TOPICS:
A. Introduction and conversion of surd
B. Addition and subtraction of surd
C. Multiplication of surd
D. Rationalization of surd
E. Conjugate of surd

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LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Distinguish between rational and irrational numbers.
2 Identify numbers in surd form.
3 Perform and solve problems on addition, subtraction and multiplication of surd.
4 Verify the rules of operation of addition, subtraction and multiplication.
5 Rationalize the denominators of fractions involving surds.
6 Use difference of two squares in solving binomial conjugate.
7 Use conjugates to rationalise the denominator of surds with binomial fractions.
8 Relate surds to trigonometric ratios.

Week 2: 25-09-2023

Indices and Logarithms

SUB TOPICS:
A. Simplification of logarithm without tables
B. Application of laws of logarithm
C. Use of logarithm table
D. Calculations using logarithms
E. Exponential indices

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Evaluate expression given in index form e.g 81 = 34.
2 Evaluate expression given in logarithmic form.
3 Deduce laws of logarithms especially:
4 Log pq = log p + log q
5 Log(p/q) = log p – log q
6 Log 10 pn = n log p
7 Note the equivalence between the laws of indices and laws of logarithms.
8 Verify logarithm laws with simple exercises.
9 Recall and use the laws of logarithms to simplify and evaluate expressions without the use of tables.

Week 3: 02-10-2023

Graph of Trigonometry

SUB TOPICS:
A. Trigonometric ratios of angles
B. Tables of graph and trigonometrical function
C. Graph of trigonometrical function
D. Application of graph of trigonometrical function
E. Further problems on graph of trigonometry

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Determine sine, cosine, and tangent of any angle between 0◦ and 360◦
2 Construct tables of values 0◦≤Ꝋ≤360◦
3 Given sin Ꝋ, cos Ꝋ and tan Ꝋ, determine Ꝋ, where 0◦≤Ꝋ≤360◦
4 Plot graphs of sine and cosine for 0◦≤Ꝋ≤360◦
5 Use the unit circle to develop graphs for sin Ꝋ and cos Ꝋ for 0◦≤Ꝋ≤360◦
6 Interpret the graphs of sine and cosine and read out given values.
7 Sketch the graphs of the form A ± B sin n Ꝋ for simple numerical values of A, B and n
8 Use graphs to solve trigonometric equations of the form A ± B sin n Ꝋ = cos n Ꝋ

Week 4: 09-10-2023

Plane Shapes and Solid Shapes

SUB TOPICS:
A. Arc, sector and segment
B. Composite shapes
C. Sphere
D. Hemisphere
E. Change of shapes

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Calculate the length of a circular arc.
2 Calculate the areas of sectors and segments of a circle.
3 Find the surface areas of spheres and hemispheres.
4 Determine the volume of a sphere and a hemisphere.
5 Solve problems involving change of shape of quantities such as liquids.

Week 5: 16-10-2023

Applications of Differential and Integral Calculus

SUB TOPICS:
A. Integration (power of sine and cosine)
B. Differential calculus
C. Application of integral calculus
D. Application of differential calculus
E. Revision of SSCE past questions

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Perform differentiation of a function and integrate the same function to show the reversed function of differentiation and integration.
2 Determine the equation of a line or curve given its gradient function.
3 Use the inverse of differentiation to find the general solutions of simple differential equations.
4 Solve problems on differentiation using the rules of differentiation.
5 Apply integral calculus to solving problems relating to: i. coordinate geometry ii. displacement, velocity, and acceleration
6 Solve problems on integration using: (a) substitution method (b) integration by parts method (c) integration by partial fraction method

Week 6: 23-10-2023

Construction

SUB TOPICS:
A. Bisection of angles and lines
B. Construction of special angles
C. Construction of triangles
D. Construction of quadrilateral
E. Loci

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Review steps involved in constructing a triangle, bisecting a line segment, an angle and some special angles.
2 Bisect a given line segment and given angles.
3 Construct special angles.
4 Construct a triangle with given sides.
5 Construct 4 sides plane figures.
6 Construct a locus of moving points equidistant from 2 points, 2 lines, a fixed point.

Week 7: 30-10-2023

SS3 Mathematics 1st Term Revision and Mid Term Test

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1. Two towns P and Q are on (40N, 400W) and (40N, 200E) respectively. What is the distance between them, along their line of latitude? (Give your answer in terms of and R, the radius of the earth).

1991 Q24

 
 
 
 
 

2. A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

2006 Q25

 
 
 
 

3. Simplify log104 + log1025.

1996 Q5

 
 
 
 
 

4. If q oranges are sold for t Naira, how many oranges can be bought for p Naira?

2002 Q37

 
 
 
 

5. Find the number whose logarithm to base 10 is 2.6025.

1998 Q5

 
 
 
 
 

6. Given that the logarithm of a number is 1.8732, find, correct to 2 significant figures, the square root of the number.

2000 Q11

 
 
 
 

7. Which of the following is a perfect cube?

2000 Q7

 
 
 
 

8. P and Q are two places on the same circle of latitude 790S. P is on longitude 680E while Q is on longitude 220W. The angular distance between P and Q is —

1989 Q9

 
 
 
 
 

9. If the simple interest on a sum of money invested at 3% per annum for 2½ years is N123, find the principal.

2006 Q24

 
 
 
 

10. A man bought a television set on hire purchase for N25,000, out of which he paid N10,000. If he is allowed to pay the balance in eight equal installments, find the value of each installment.

2000 Q13

 
 
 
 

Question 1 of 10

Week 8: 06-11-2023

Statistics

SUB TOPICS:
A. Array of data, measure of central tendency
B. Ungrouped data: measure of central tendency
C. Ungrouped data: measure of deviation
D. Pie and bar charts
E. Revision of SSCE past questions

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Mention types of measure of central tendency.
2 Draw different types of linear graphs and bar graphs including component bar graphs.
3 Enumerates the differences between bar charts and histograms.
4 Construct the frequency table.
5 Calculate sectorial angles and draw pie charts correctly.
6 Interpret the pie chart in terms of the sectorial angles.
7 Interpret data using the pie charts.

Week 9: 13-11-2023

Statistics (CONT'D)

SUB TOPICS:
A. Frequency distribution table of ungrouped data
B. Measure of central tendency
C. Mean deviation
D. Histogram
E. O-give curve

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Collect, tabulate and present data in meaningful form.
2 Construct frequency tables correctly.
3 Calculate mean, median and mode of grouped data.
4 Calculate some problems on mean deviation and standard deviation.
5 Draw the graph of histogram of grouped data.
6 Draw the O-give curve or frequency curve of grouped data.

Week 10: 20-11-2023

Graphs

SUB TOPICS:
A. Linear graph
B. Table of quadratic equation
C. Graph of quadratic equation
D. Solution of graph of quadratic equation
E. Revision of SSCE past questions

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Solve linear equations.
2 Construct table of values for linear equations.
3 Solve quadratic equations by using graph.
4 Read values from a quadratic graph.
5 Copy and complete the table of linear and quadratic equations by graphical method.

Attention: The internal data of table “49” is corrupted!

Other Classes are Listed Below
for Mathematics
SS 1 SS 2 SS 3
1st 2nd 3rd 1st 2nd 3rd 1st 2nd 3rd

Scheme of Work by Topic for:
SS3 Mathematics 1st Term
(Ana Arm Technologies)
Surds
Indices and Logarithms
Graph of Trigonometry
Mensuration: Plane Shapes and Solid Shapes
Applications of Differential and Integral Calculus
Construction
Probability
Statistics
Graphs
Online Quiz
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