SS3 Mathematics 1st Term
SS3 Mathematics First Term Scheme of Work & Lesson Note
Mathematics is a core subject SS3 students are required to study in first term. The Unit of Instruction for SS3 Mathematics 1st Term is carefully developed from the Scheme of Work, which in turn is, based on NERDC current curriculum and SSCE syllabus.
Week 1 Week 2 Week 3
Week 4 Week 5 Week 6
Week 7 Week 8 Week 9
Week 10
Surds, Indices and Logarithms, Graph of Trigonometry, Mensuration, Applications of Differential and Integral Calculus, Construction, Probability, Statistics, Graphs, etc.
First Semester to get started.
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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
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.
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.
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
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.
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
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.
SS3 Mathematics 1st Term Revision and Mid Term Test
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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.
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.
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.
Work in Progress. Please check back 49
(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
Reference Textbooks
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