SS2 Mathematics 1st Term
SS2 Mathematics First Term Scheme of Work & Lesson Note
Mathematics is a core subject SS2 students are required to offer in first term. The Unit of Instruction for SS2 Mathematics 1st Term is carefully developed from the Scheme of Work, which in turn is, based on NERDC current curriculum and SSCE syllabus.
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, ETC
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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
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.
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.
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.
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.
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.
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.
SS2 Mathematics 1st Term Revision and Mid Term Test
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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.
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.
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.
Work in Progress. Please check back. 48
(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
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