SS2 Mathematics 1st Term

SS2 MATHEMATICS 1ST TERM

SS2 Mathematics 1st Term Lesson Note and Scheme of Work by Week

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Week 1: 18-09-2023

Approximation

SUB TOPICS:
A. Approximation to the nearest whole numbers, decimal places and uints
B. Significant figures, ratios and proportions
C. Absolute error and relative error
D. Percentage errors and degree of accuracy

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LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Approximate numbers to the nearest ten, hundred, thousand, million, billion and trillion.
2 Round off numbers to the nearest tenth, thousandth, etc.
3 Compare results obtained from using logarithm table and calculators.
4 Calculate percentage error of a result or measurement from a given instrument.
5 Solve examples of approximation in schools, health sector and social environment.

Week 2: 25-09-2023

Logarithms of Numbers Less than One

SUB TOPICS:
A. Revision on logarithm of numbers greater than one (SS1 1st Term)
B. Logarithm with bar notation involving addition and subtraction
C. Multiplication with numbers less than 1
D. Division with numbers less than 1
E. Revision of SSCE past questions

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Use logarithms table to perform calculations involving numbers less than 1.
2 Identify and name the two parts of a number in logarithms.
3 Write a given number in standard form and compare the number with its characteristics in logarithms.
4 Compare characteristics of logarithms with standard form of numbers.
5 Use logarithm table to perform multiplication and division of numbers less than 1.

Week 3: 02-10-2023

Logarithms of Numbers Less than One (CONT'D)

SUB TOPICS:
A. Logarithm with bar notation involving multiplication and division
B. Powers of numbers less than 1
C. Roots of numbers less than 1
D. Simple equations with logarithms
E. Revision of SSCE past questions

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Simplify problems with bar notation either by addition or subtraction.
2 Use logarithm table to calculate powers of numbers less than 1.
3 Use logarithm table to calculate roots of numbers less than 1.
4 Apply logarithm rules to solve simple equations.

Week 4: 09-10-2023

Circle Geometry I

SUB TOPICS:
A. Definition of terms on circles, chords and arcs
B. Mid-point of a chord
C. Angles in a circle
D. Angles in the same segment
E. Application of circle geometry

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Define the following terms: (i) major segment and minor segment (ii) radius and diameter (iii) chords and arcs
2 Prove that angle at the mid-point of a circle is right-angled (90◦).
3 Prove that the angles in the same segment of a circle are equal.
4 Prove that the angles which an arc subtends at the center is twice the angle it subtends at the circumference.
5 Draw diagrams of circle theorems in their books and label them correctly.

Week 5: 16-10-2023

Circle Geometry I (CONT'D)

SUB TOPICS:
A. Angles in a semi-circle
B. Opposite interior and exterior angles of a cyclic quadrilateral
C. Application of cyclic quadrilateral theorem
D. Revision of SSCE past questions

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Prove that the angles in a semi-circle is 90◦
2 Prove that opposite interior and exterior angles of a cyclic quadrilateral are supplementary.
3 Solve problems on angles in a semi-circle and opposite angles in a cyclic quadrilateral correctly.

Week 6: 23-10-2023

Quadratic Equations I

SUB TOPICS:
A. Quadratic equations and methods of solving quadratic equations
B. Equations with irrational roots
C. Completing the square method
D. Derivation of quadratic formular
E. Using quadratic formular to solve any quadratic equation

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Mention the methods used in solving quadratic equations.
2 Revise and recall factorization of perfect squares.
3 Expand and factorize perfect squares.
4 Recognise the difference between rational and irrational roots.
5 Identify equations with irrational roots.
6 Solve quadratic equations by method of completing the square.
7 Deduce the quadratic formular from the method of completing the square.
8 Apply the quadratic formular in solving quadratic equation problems.

Week 7: 30-10-2023

SS2 Mathematics 1st Term Revision and Mid Term Test

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1. Evaluate log10 5 + log10 20 2001 Q3

 
 
 
 

2. Which of the following is not a quadratic expression? 2001 Q21

 
 
 
 

3. A chord of length 6 cm is drawn in a circle of radius 5 cm. Find the distance of the chord from the centre of the circle. 2007 Q15

 
 
 
 

4. The angle subtended at the centre by a chord of a circle radius 6 cm is 120. Find the length of the chord. 1994 Q26

 
 
 
 
 

5. If log 2 = 0.3010 and log 2y = 1.8062, find, correct to the nearest whole number, the value of y. 2002 Q12

 
 
 
 

6. A chord of a circle of radius 26 cm is 10 cm from the centre of the circle. Calculate the length of the chord. 1998 Q31

 
 
 
 
 

7. A chord is 5 cm from the centre of a circle of diameter 26 cm. Find the length of the chord. 1997 Q38

 
 
 
 
 

8. Simplify log10 4 + log10 25. 1996 Q5

 
 
 
 
 

9. Simplify log 6 + log 2 – log 12 1991 Q5

 
 
 
 
 

10. Solve the equation: 3a + 5 = a2 1991 Q8

 
 
 
 
 

Question 1 of 10

Week 8: 06-11-2023

Sine Rule and Cosine Rule

SUB TOPICS:
A. Trigonometry ratios
B. Angles between 0◦ and 360◦
C. Using table to find the value of Ꝋ lying between 0◦ and 360◦
D. The sine rule and application to everyday life
E. The cosine rule and application to everyday life

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Solve problems involving use of sine, cosine and tangent in right-angled triangle.
2 Find the sin, cos and tan of angles lying between 0◦ and 360◦ of the following: (i) 0.9626 (ii) 0.2826 (iii) 0.4628
3 Find the values of Ꝋ lying between 0◦ and 360◦ by using table.
4 Derive and apply sine rule to solve some problems.
5 Solve problems involving angles and sides of triangles using sine rule.
6 Derive and apply cosine rule to find angles and sides of triangles.

Week 9: 13-11-2023

Bearing and Distance Using Applications of Sine Rule and Cosine Rule

SUB TOPICS:
A. Introduction to bearing and distance
B. Application of bearing and distance using sine rule
C. Application of bearing and distance using cosine rule
D. Revision of SSCE past questions

LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 State the definition of bearing.
2 Give the two bearing notations.
3 State their own examples of the two notations of bearing.
4 Define and draw 4, 8 and 16 cardinal points.
5 Solve practical problems on bearing.
6 Draw cardinal points measuring through clockwise direction correctly.
7 Solve problems in trigonometric ratios and angles of elevation and depression.

Week 10: 20-11-2023

Statistics: Measure of Central Tendency of Grouped Data

SUB TOPICS:
A. Data collection and analysis of grouped data
B. Tabular presentation of data (frequency table)
C. Measure of central tendency (mean)
D. Measure of central tendency (median and mode)
E. Practical application to population studies

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 from given data.
3 Calculate given data with the use of measure of central tendency.
4 Calculate the mean, median and mode of given data of some problems in everyday life.
5 List various forms of data presentation.

Attention: The internal data of table “48” is corrupted!

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

Mathematics Circle Geometry

Scheme of Work by Topic for:
SS2 Mathematics 1st Term
(Ana Arm Technologies)
Approximation
Logarithms of Numbers Less than One
Circle Geometry
Quadratic Equations
Sine Rule and Cosine Rule
Bearing and Distance
Statistics: Measure of Central Tendency of Grouped Data
Online Quiz
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