WK



|SCHEME OF WORK FORM TWO MATHEMATICS TERM ONE YEAR 2020 |

|WK/ |L/ |TOPIC/ |LESSON / SPECIFIC |TEACHING / LEARNING |MATERIALS |REFERE- |REMARKS |

|NO. |NO |SUBTOPIC |OBJECTIVES |ACTIVITIES |/ |NCES | |

| | | | | |RESOURCES | | |

|1 |1 |CUBES AND CUBE ROOTS |By the end of the lesson, the learner should |Worked examples on | |KLB BK II | |

| | |Cubes by multiplication. |be able to: |cubing algebraic terms; | |Pg 1 | |

| | |(whole numbers) |Find cubes of whole numbers by |Oral exercise; | | | |

| | | |multiplication. |Written exercise. | | | |

| | | |Find cubes of negative numbers. | | | | |

| |2 |Cubes by multiplication. |By the end of the lesson, the learner should |Worked examples; | |KLB BK II | |

| | |(decimal numbers) |be able to: |Supervised practice; | |Pg 1 | |

| | | |Find cubes of positive and negative decimal |Written exercise. | | | |

| | | |numbers by multiplication. | | | | |

| |3 |Using tables to find cubes. |By the end of the lesson, the learner should |Review standard form of numbers; |Mathematical tables. |KLB BK II | |

| | |(Whole numbers) |be able to: |Guided discovery; | |Pgs 2 - 3 | |

| | | |Use tables to find cubes of whole numbers. |Supervised practice; | | | |

| | | | |Written exercise. | | | |

| |4 |Using tables to find cubes. |By the end of the lesson, the learner should |Worked examples; |Mathematical tables. |KLB BK II | |

| | |(1& 2dec. pl) |be able to: |Supervised practice; | |Pgs 2 - 3 | |

| | | |Use tables to find cubes of numbers with one |Written exercise. | | | |

| | | |/two decimal places. | | | | |

| |5 |Using tables to find cubes. |By the end of the lesson, the learner should |Worked examples; |Mathematical tables. |KLB BK II | |

| | |(3,4 dec. pl) |be able to: |Supervised practice; | |Pgs 2 - 3 | |

| | | |Use tables to find cubes of numbers having |Written exercise. | | | |

| | | |three / four decimal places. | | | | |

| |6 |Cube roots by factor method. |By the end of the lesson, the learner should |Questioning to review cube of | |KLB BK II | |

| | | |be able to: |numbers; | |Pgs 3 - 4 | |

| | | |Find cube roots by factor method. |Oral exercise; | | | |

| | | |Find cube roots of algebraic terms. |Written exercise; | | | |

| | | | |Exercise review. | | | |

|2 |1 |Using tables to find cube roots. |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | |(whole numbers) |be able to: |Supervised practice; | |Pgs 3 - 4 | |

| | | |Use tables to find cube roots of numbers. |Oral exercise; | | | |

| | | | |Written exercise; | | | |

| | | | |Exercise review. | | | |

| |2 |Using tables to find cube roots. |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | |(decimals) |be able to: |Supervised practice; | |Pgs 3 - 4 | |

| | | |Use tables to find cube roots of decimal |Oral exercise; | | | |

| | | |numbers. |Written exercise; | | | |

| | | | |Exercise review. | | | |

| |3 |RECIPROCALS |By the end of the lesson, the learner should |Review recurring decimals; | |KLB BK II | |

| | |Reciprocal by division. |be able to: |Oral exercise; | |Pg 5 | |

| | | |Find reciprocal of numbers by division. |Discover relation between size of a | | | |

| | | | |number and its reciprocal; | | | |

| | | | |Assignment. | | | |

| |4 |Reciprocal from tables. |By the end of the lesson, the learner should |Questioning to review standard form |Mathematical tables. |KLB BK II | |

| | |(whole numbers) |be able to: |of numbers; | |Pgs 5 - 6 | |

| | | |Use tables to find reciprocal of whole |Guided discovery; | | | |

| | | |numbers. |Supervised practice; | | | |

| | | | |Oral exercise; | | | |

| | | | |Written exercise; | | | |

| | | | |Exercise review. | | | |

| |5 |Reciprocal from tables. |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | |(Decimal numbers) |be able to: |Supervised practice; | |Pgs 5 - 6 | |

| | | |Use tables to find reciprocal of decimal |Oral exercise; | | | |

| | | |numbers. |Written exercise; | | | |

| | | | |Exercise review. | | | |

| |6 |INDICES AND LOGARITHMS |By the end of the lesson, the learner should |Q/A to review powers; | |KLB BK II | |

| | | |be able to: |Exposition of bases and indices; | |Pgs 7 | |

| | |Bases and indices. | |Guided discovery; | | | |

| | | |Identify bases and indices. |Worked examples; | | | |

| | |Law of multiplication. |Apply the law of multiplication of indices. |Oral and written exercises. | | | |

|3 |1 |Law of division. |By the end of the lesson, the learner should |Guided discovery; | |KLB BK II | |

| | | |be able to: |Oral and written exercises. | |Pgs 5 -6 | |

| | | |Apply the law of division of indices. | | | | |

| | | | | | | | |

| |2 |Multiplication & division. |Apply the laws of multiplication and division|Worked examples; | |KLB BK II | |

| | | |of indices. |Written exercises; | |Pgs 5 -6 | |

| | | | |Exercise review. | | | |

| | | | | | | | |

| |3 |Product of two powers. |By the end of the lesson, the learner should |Guided discovery; | |KLB BK II | |

| | | |be able to: |Worked examples; | |Pgs 5 -6, | |

| | | |Apply the law of product of two powers. |Oral and written exercises. | |12 - 13 | |

| |4 |Negative indices. |By the end of the lesson, the learner should |Guided discovery; | |KLB BK II | |

| | | |be able to: Evaluate expressions having |Oral and written exercises. | |Pgs 5 -6, | |

| | | |negative indices. | | |12 - 13 | |

| |5 |Negative indices with both |By the end of the lesson, the learner should |Worked examples; | |KLB BK II | |

| | |multiplication and division. |be able to: Evaluate further expressions |Written exercises; | |Pgs 5 -6, | |

| | | |having negative indices. |Exercise review. | |12 - 13 | |

| |6 |Zero index & fractional indices. |By the end of the lesson, the learner should |Guided discovery; | |KLB BK II | |

| | | |be able to: Evaluate expressions having zero |Worked examples; | |Pgs 8 - 13 | |

| | | |index and fractional indices. |Problem solving; | | | |

| | | | |Oral and written exercises. | | | |

| | | | | | | | |

|4 |1 |Indices and square root. |By the end of the lesson, the learner should |Probing questions; | |KLB BK II | |

| | | |be able to: |Guided discovery; | |Pgs 8 - 13 | |

| | | |Evaluate expressions square root. |Problem solving; | | | |

| | | | |Oral and written exercises. | | | |

| |2 |Indices and cube root. |By the end of the lesson, the learner should |Probing questions; | |KLB BK II | |

| | | |be able to: |Guided discovery; | |Pgs 8 - 13 | |

| | | |Evaluate expressions cube root. |Problem solving; | | | |

| | | | |Oral and written exercises. | | | |

| |3 |Indices and other roots. |By the end of the lesson, the learner should |Problem solving; | |KLB BK II | |

| | | |be able to: |written exercises; | |Pgs 8 - 13 | |

| | | |Evaluate expressions cube root. |Exercise review. | | | |

| |4 |Logarithms. |By the end of the lesson, the learner should |Exposition of logarithmic notations. | |KLB BK II | |

| | | |be able to: |Oral exercise. | |Pgs 13 - 15 | |

| | |Logarithmic notations. |Interpret logarithmic notations. | | | | |

| |5 |Index form and logarithmic form. |By the end of the lesson, the learner should |Guided discovery; | |KLB BK II | |

| | | |be able to: relate index form and logarithmic|Worked examples; | |Pgs 13 - 15 | |

| | | |form. |Problem solving; | | | |

| | | | |Oral and written exercises. | | | |

| |6 |Common logs of numbers between 1 |By the end of the lesson, the learner should |Q/A to review std form; |Mathematical tables. |KLB BK II | |

| | |and 9.99. |be able to: |Exposition of new terms; | |Pgs 15-18 | |

| | | |Read off common logs of numbers from tables. |Guided discovery; | | | |

| | | | |Worked examples; | | | |

| | | | |Problem solving; | | | |

| | | | |Oral and written exercises. | | | |

|5 |1 |Common logs of numbers greater |By the end of the lesson, the learner should |Worked examples; |Mathematical tables. |KLB BK II | |

| | |than 10. |be able to: |Problem solving; | |Pgs 15 - 18 | |

| | | |Read off common logs of numbers from tables. |Oral and written exercises. | | | |

| |2 |Common logs of numbers less than |By the end of the lesson, the learner should |Worked examples; |Mathematical tables. |KLB BK II | |

| | |1. |be able to: |Problem solving; | |Pgs 18 - 20 | |

| | | |Read off common logs of decimal numbers from|Oral and written exercises. | | | |

| | | |tables. | | | | |

| |3 |Multiplication of logs by a |By the end of the lesson, the learner should |Worked examples; |Mathematical tables. |KLB BK II | |

| | |factor. |be able to: |Problem solving; | |Pgs 18 - 20 | |

| | | |Multiply logs by simple factors. |Oral and written exercises. | | | |

| |4 |Division of logs by a factor. |By the end of the lesson, the learner should |Worked examples; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Problem solving; | |Pgs 18 - 20 | |

| | | |Divide logs by simple factors. |Oral and written exercises. | | | |

| |5 |Multiplication of numbers using |By the end of the lesson, the learner should |Exposition & discovery; |Mathematical tables. |KLB BK II | |

| | |logs. |be able to: |Worked examples; | |Pgs 20 - 24 | |

| | | |Multiply numbers using logs. |Supervised practice; | | | |

| | | | |Assignment. | | | |

| |6 |Division using logs. |By the end of the lesson, the learner should |Exposition & discovery; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Worked examples; | |Pgs 20 - 24 | |

| | | |Divide numbers using logs. |Supervised practice. | | | |

| | | | |Written exercise. | | | |

|6 |1 |Multiplication and division using|By the end of the lesson, the learner should |Supervised practice. |Mathematical tables. |KLB BK II | |

| | |logs. |be able to: |Written exercise; | |Pgs 20 - 24 | |

| | | |Multiply and divide numbers using logs. |Problem solving. | | | |

| |2 |Logs and powers. |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Worked examples; | |Pgs 23 - 24 | |

| | | |Use logs to evaluate numbers with powers. |Supervised practice. | | | |

| | | | |Written exercise. | | | |

| |3 |Logs and roots. |By the end of the lesson, the learner should |Worked examples; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Written exercise; | |Pgs 23 - 24 | |

| | | |Use logs to evaluate roots of numbers. |Problem solving; | | | |

| | | | |Exercise review. | | | |

| |4 |Miscellaneous operations using |By the end of the lesson, the learner should |Worked examples. |Past exam papers. |KLB BK II | |

| | |logs. |be able to: |Group activities. |Mathematical tables. |Pgs 23 - 24 | |

| | | |Use logs to work out large expressions. |Exercise review. | | | |

| |5 |GRADIENTS AND EQUATIONS OF LINES |By the end of the lesson, the learner should |Q/A to review co-ordinates; |Geoboard; |KLB BK II | |

| | | |be able to: |Exposition; |Graph books. |Pgs 27 - 34 | |

| | |Positive gradient. | |Discover +ve gradient. | | | |

| | |(given two coordinates) | | | | | |

| | | |Find gradient of a line given two | | | | |

| | | |coordinates. | | | | |

| |6 |Negative gradient. |By the end of the lesson, the learner should |Q/A to review co-ordinates; |Geoboard; |KLB BK II | |

| | |(given two coordinates) |be able to: |Exposition; |Graph books. |Pgs 27 - 34 | |

| | | |Find gradient of a line given two |Discover –ve gradient. | | | |

| | | |coordinates. | | | | |

| | | |Differentiate between a +ve and –ve gradient.| | | | |

|7 |1 |Gradient of a line. |By the end of the lesson, the learner should |Oral and written exercises. |Geoboard; |KLB BK II | |

| | |(given equation of a line) |be able to: | |Graph books. |Pgs 27 - 34 | |

| | | |Find gradient of a line given equation of the| | | | |

| | | |line. | | | | |

| | | | | | | | |

| |2 |Equation of a line. |By the end of the lesson, the learner should |Guided discovery; |Geoboard; |KLB BK II | |

| | |(given two points) |be able to: |Supervised practice; |Graph books. |Pgs 35 - 36 | |

| | | |Form equation of a line given two points. |Exercises. | | | |

| |3 |Equation of a line. |By the end of the lesson, the learner should |Guided discovery; |Geoboard; |KLB BK II | |

| | |(given one point and gradient) |be able to: |Supervised practice; |Graph books. |Pgs 34 - 37 | |

| | | |Form equation of a line given one point and |Exercises. | | | |

| | | |gradient. | | | | |

| |4 |Equation of a line. |By the end of the lesson, the learner should |Guided discovery; |Geoboard; |KLB BK II | |

| | |(in the form |be able to: |Supervised practice; |Graph books. |Pgs 34 - 37 | |

| | |y = mx + c ) |Form equation of a line given two points. |Exercises. | | | |

| | |Equation of a line. | | | | | |

| | |(in other forms) | | | | | |

| |5,6 |C.A.T. & MID-TERM BREAK | | | | |

|8 |1 |Graph of a line. |By the end of the lesson, the learner should |Drawing graphs; |Geoboard; |KLB BK II | |

| | | |be able to: |Interpreting the graphs; |Graph books. |Pgs 39 - 45 | |

| | | |Draw a graph of a straight line. |Supervised practice; | | | |

| | | | |Exercises. | | | |

| |2 |Parallel lines. |By the end of the lesson, the learner should |Guided discovery; |Geoboard; |KLB BK II | |

| | | |be able to: |Supervised practice; |Graph books. |Pgs 39 - 45 | |

| | | |Relate gradient to parallel lines. |Mixed exercises; | | | |

| | | | |Exercise review. | | | |

| |3 |Perpendicular lines. |By the end of the lesson, the learner should |Guided discovery; |Geoboard; |KLB BK II | |

| | | |be able to: |Supervised practice; |Graph books. |Pgs 39 - 45 | |

| | | |Relate gradients to perpendicular lines. |Mixed exercises; | | | |

| | | | |Exercise review. | | | |

| |4 |REFLECTION AND CONGRUENCE |By the end of the lesson, the learner should |Practical activities; |Plane models. |KLB BK II | |

| | | |be able to: |Exposition and guided discovery. | |Pgs 46 - 48 | |

| | |Line of symmetry. |Identify lines of symmetry. | | | | |

| |5 |Reflection. |By the end of the lesson, the learner should |Practical activities; |Tracing paper; |KLB BK II | |

| | |(of a point) |be able to: |Supervised practice; |Mirrors; Geoboard; |Pgs 48-60 | |

| | | |Determine co-ordinates of an image after |Written exercise. |Graph books. | | |

| | | |reflection. | | | | |

| |6 |Reflection. |By the end of the lesson, the learner should |Practical activities; |Tracing paper; |KLB BK II | |

| | |(of a line) |be able to: |Supervised practice; |Mirrors; Geoboard; |Pgs 48-60 | |

| | | |Determine co-ordinates of an image of a line |Written exercise. |Graph books. | | |

| | | |after reflection. | | | | |

|9 |1 |Reflection. |By the end of the lesson, the learner should |Practical activities; |Tracing paper; |KLB BK II | |

| | |(of a plane figure) |be able to: |Supervised practice; |Mirrors; Geoboard; |Pgs 48-60 | |

| | | |Determine co-ordinates of an image figure |Written exercise. |Graph books. | | |

| | | |after reflection. | | | | |

| |2 |Locating mirror line. |By the end of the lesson, the learner should |Practical activities; |Tracing paper; |KLB BK II | |

| | | |be able to: |Geometrical constructions; |Mirrors; Geoboard; |Pgs 50-60 | |

| | | |Locate mirror line given co-ordinates of |Supervised practice; |Graph books. | | |

| | | |object and image. |Written exercise. | | | |

| |3 |Geometrical deductions from |By the end of the lesson, the learner should |Geometrical constructions; |Tracing paper; |KLB BK II | |

| | |reflection. |be able to: |Making inferences. |Mirrors; Geoboard; |Pgs 50-60 | |

| | | |Make geometrical deductions from reflection | |Graph books. | | |

| | | |of figures. | | | | |

| |4 |Congruence. |By the end of the lesson, the learner should |Practical activities; |Tracing paper; |KLB BK II | |

| | | |be able to: |Geometrical constructions; |Mirrors; Geoboard; |Pgs 61 - 63 | |

| | | |Identify types of congruence. |Supervised practice; |Graph books. | | |

| | | | |Written exercise. | | | |

| |5 |Congruent triangles. |By the end of the lesson, the learner should |Practical activities; |Tracing paper; |KLB BK II | |

| | | |be able to: |Geometrical constructions; |Mirrors; Geoboard; |Pgs 63 - 70 | |

| | | |State characteristics of congruent triangles.|Supervised practice; |Graph books. | | |

| | | | |Written exercise. | | | |

| |6 |ROTATION |By the end of the lesson, the learner should |Practical activities; |Geoboard; |KLB BK II | |

| | | |be able to: |Guided discovery; |Graph books; |Pgs 71 - 75 | |

| | |Centre and angle of rotation. |Identify centre and angle of rotation. |Oral exercise. |Manilla offcuts. | | |

|10 |1 |Rotation in x-y plane. |By the end of the lesson, the learner should |Practical activities; |Geoboard; |KLB BK II | |

| | |(+ ve angle) |be able to: |Oral and written exercises. |Graph books. |Pgs 75 - 78 | |

| | | |Rotate a figure thro’ a given + ve angle. | | | | |

| |2 |Rotation in x-y plane. |By the end of the lesson, the learner should |Practical activities; |Geoboard; |KLB BK II | |

| | |(- ve angle) |be able to: |Oral and written exercises. |Graph books. |Pgs 75 - 78 | |

| | | |Rotate a figure thro’ a given -ve angle. | | | | |

| |3 |Order of rotational symmetry. |By the end of the lesson, the learner should |Practical activities; |Geoboard; |KLB BK II | |

| | |(Point symmetry) |be able to: |Oral and written exercises. |Graph books; |Pgs 78-84 | |

| | | |Determine the order of rotational symmetry | |Manilla offcuts. | | |

| | | |of a figure. | | | | |

| |4 |Order of rotational symmetry. |By the end of the lesson, the learner should |Practical activities; |Geoboard; |KLB BK II | |

| | |(Axis symmetry) |be able to: |Oral and written exercises. |Graph books; |Pgs 78 - 84 | |

| | | |Determine the order of rotational symmetry | |Manilla offcuts; | | |

| | | |of a figure. | |Reaia.. | | |

| | | | | | | | |

| |5 |Rotation and congruency. |By the end of the lesson, the learner should |Guided discovery through practical |Geoboard; |KLB BK II | |

| | | |be able to: |activities. |Graph books; |Pgs 84-86 | |

| | | |Relate congruency and rotation. | |Manilla offcuts; | | |

| | | | | |Reaia.. | | |

| |6 |SIMILARITY AND ENLARGEMENT |By the end of the lesson, the learner should |Measure and record lengths of sides |Geoboard; |KLB BK II | |

| | | |be able to: |of figures; |Graph books; |Pgs 87 -88 | |

| | |Similarity. |Identify similar figures. |Guided discovery for similarity. |Manilla offcuts; | | |

| | | | | |Geometrical sets. | | |

|11 |1 |Similar figures. |By the end of the lesson, the learner should |Problem solving; |Similar planes figures. |KLB BK II | |

| | | |be able to: |Exercise review. |Manilla offcuts; |Pgs 88 - 96 | |

| | | |Solve problems involving similar figures. | |Tracing papers. | | |

| |2 |Centre of enlargement. |By the end of the lesson, the learner should |Geometrical construction; |Similar planes figures. |KLB BK II | |

| | | |be able to: |Discussion; |Manilla offcuts; |Pgs 100- 104 | |

| | | |Locate c.o.e. given the object and image. |Exercise; |Tracing papers. | | |

| | | | |Exercise review. | | | |

| |3 |Linear scale factor of an |By the end of the lesson, the learner should |Measure and record lengths of sides |Geometrical sets; |KLB BK II | |

| | |enlargement. |be able to: |of figures and their images; |Manilla offcuts; Tracing |Pgs 97 - 100 | |

| | |(greater than 1) |Obtain l.s.f. of enlargement. |Exposition; |paper. | | |

| | | | |Simple problems. | | | |

| |4 |Linear scale factor of an |By the end of the lesson, the learner should |Measure and record lengths of sides |Geometrical sets; |KLB BK II | |

| | |enlargement. |be able to: |of figures and their images; |Manilla offcuts; Tracing |Pgs 97 - 100 | |

| | |(less than 1) |Obtain l.s.f. of enlargement. |Simple problems. |paper. | | |

| |5 |Negative l.s.f. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical sets. |KLB BK II | |

| | | |be able to: |Making deductions; | |Pgs 105 -6 | |

| | | |Differentiate between +ve and –ve l.s.f. |Written exercise. | | | |

| | | |Deduce effect of of –ve l.s.f. | | | | |

| |6 |Negative fractional l.s.f. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical sets. |KLB BK II | |

| | | |be able to: |Making deductions; | |Pgs 105 -6 | |

| | | |Deduce effect of –ve fractional l.s.f. |Written exercise. | | | |

|12, |END OF TERM ONE EXAMINATIONS | |

|13 | | |

|SCHEME OF WORK FORM TWO MATHEMATICS TERM TWO YEAR 2020 |

|1 |1 |SIMILARITY AND ENLARGEMENT |By the end of the lesson, the learner should |Q/A to relate length and area; | |KLB BK II | |

| | |Area scale factor. |be able to: |Worked examples; | |Pgs 106-9, 111- 2 | |

| | | |Relate l.s.f. to a.s.f. |Supervised practice; | | | |

| | | | |Written exercise. | | | |

| |2 |Volume scale factor. |By the end of the lesson, the learner should |Q/A to relate length and volume; |Cubes. |KLB BK II | |

| | | |be able to: |Q/A to review roots , squares and | |Pgs 109 - | |

| | | |Relate l.s.f. to v.s.f. |roots. | | | |

| | | | |Worked examples; | | | |

| | | | |Supervised practice; | | | |

| | | | |Written exercise; | | | |

| | | | |Mixed exercise review. | | | |

| |3 |THE PYTHAGORAS‘ THEOREM |By the end of the lesson, the learner should |Probing questions; |Cubes. |KLB BK II | |

| | | |be able to: |Proof of the theorem; | |Pgs 119-122 | |

| | | |Apply the theorem in problem solving. |Problem solving. | | | |

| |4 |THE PYTHAGORAS‘ THEOREM |By the end of the lesson, the learner should |Further problem solving. | |KLB BK II | |

| | | |be able to: | | |Pgs 119-122 | |

| | | |Apply the theorem in further problem solving.| | | | |

| |5 |TRIGONOMETRIC RATIOS |By the end of the lesson, the learner should |Guided practical activity; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Exposition of tan θ; | |Pgs 123 - 6 | |

| | |Tangent of an acute angle. | |Worked examples; | | | |

| | | |Define tangent of an angle. |Written exercise. | | | |

| | | |Find tangent of an angle. | | | | |

| |6 |Tangent of an acute angle by scale|By the end of the lesson, the learner should |Guided practical activity; |Mathematical tables; |KLB BK II | |

| | |drawing. |be able to: |Scale drawing. |Geometrical set. |Pgs 123 - 6 | |

| | | | | | | | |

| | | |Find tangent of an angle by scale drawing. | | | | |

|2 |1 |Table of tangents of angles (deg) |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Worked examples; | |Pgs 126 - 132 | |

| | | |Read off tangent of an angle from tables. |Written exercise. | | | |

| |2 |Table of tangents of angles (deg |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | |with decimals) |be able to: |Worked examples; | |Pgs 123 - 6 | |

| | | |Read off tangent of an angle from tables. |Written exercise; | | | |

| | | | |Exercise review. | | | |

| |3 |Table of tangents of angles (deg |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | |and min) |be able to: |Worked examples; | |Pgs 123 - 6 | |

| | | |Read off tangent of an angle from tables. |Written exercise; | | | |

| | | | |Exercise review. | | | |

| |4 |Sine of an angle. |By the end of the lesson, the learner should |Guided practical activity; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Exposition of tan θ; | |Pgs 132-4 | |

| | | |Define sine of an angle. |Worked examples; | | | |

| | | |Find sine of an angle. |Written exercise. | | | |

| |5 |Sine of an angle by scale drawing.|By the end of the lesson, the learner should |Scale drawing; |Geometrical sets. |KLB BK II | |

| | | |be able to: |Exercises. | |Pgs 134-8 | |

| | | |Determine sine of an angle by scale drawing. | | | | |

| |6 |Table of sines of angles. |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Worked examples; | |Pgs 138- 144 | |

| | | |Read off sine of an angle from tables. |Written exercise; | | | |

| | | | |Exercise review. | | | |

|3 |1 |Cosine of an angle. |By the end of the lesson, the learner should |Guided practical activity; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Exposition of tan θ; | |Pgs 132-4 | |

| | | |Define cosine of an angle. |Worked examples; | | | |

| | | |Find cosine of an angle. |Written exercise. | | | |

| |2 |Cosine of an angle by scale |By the end of the lesson, the learner should |Scale drawing; |Geometrical sets. |KLB BK II | |

| | |drawing. |be able to: |Exercises. | |Pgs 134-8 | |

| | | |Determine cosine of an angle by scale | | | | |

| | | |drawing. | | | | |

| |3 |Table of cosines of angles. |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | | |be able to: |Worked examples; | |Pgs 138- 144 | |

| | | |Read off sine of an angle from tables. |Written exercise; | | | |

| | | | |Miscellaneous exercise. | | | |

| |4 |Sines and cosines of complementary|By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK II | |

| | |angles. |be able to: |Worked examples; | |Pgs 145 - 6 | |

| | | |Relate sines and cosines of complementary |Exercises. | | | |

| | | |angles. | | | | |

| |5 |Sines, cosines and tangents of |By the end of the lesson, the learner should |Guided discovery; | |KLB BK II | |

| | |special angles. |be able to: |Worked examples; | |Pgs 147 - 8 | |

| | | |Find sines, cosines and tangents of special |Exercises. | | | |

| | | |angles. | | | | |

| |6 |Sines, cosines and tangents of |By the end of the lesson, the learner should |Guided discovery; | |KLB BK II | |

| | |special complementary angles. |be able to: |Worked examples; | |Pgs 147 - 8 | |

| | | |Find sines, cosines and tangents of special |Exercises. | | | |

| | | |complementary angles. | | | | |

|4 |1 |Logs of sines, cosines and |By the end of the lesson, the learner should |Q/A to review logs; |Mathematical tables. |KLB BK II | |

| | |tangents. |be able to: |Worked examples; | |Pg 148 | |

| | | |Read off logs of sines, cosines and tangents |Exercises. | | | |

| | | |of angles. | | | | |

| |2 |Logs of sines, cosines and |By the end of the lesson, the learner should |Q/A to review logs; |Mathematical tables. |KLB BK II | |

| | |tangents. |be able to: |Worked examples; | |Pgs 148 - 152 | |

| | |(problem solving) |Use logs of sines cosines and tangents of |Exercises. | | | |

| | | |angles in problem solving.. | | | | |

| |3 |Logs of sines, cosines and |By the end of the lesson, the learner should |Q/A to review logs; |Mathematical tables. |KLB BK II | |

| | |tangents. |be able to: |Worked examples; | |Pgs 148 - 152 | |

| | |(further problem solving) |Use logs of sines, cosines and tangents of |Exercises. | | | |

| | | |angles in further problem solving. | | | | |

| |4 |AREA OF A TRIANGLE |By the end of the lesson, the learner should |Q/A: - Review | |KLB BK II | |

| | | |be able to: |A = ½ b h ; | |Pgs 155 - 6 | |

| | |(Right angled & isosceles) |Derive and use the formula A=½ a b sin C. |Derive A = ½ a b sin C | | | |

| | | | |Worked examples, Exercise. | | | |

| | | | |Problem solving. | | | |

| |5 |AREA OF A TRIANGLE |By the end of the lesson, the learner should |Worked examples; | |KLB BK II | |

| | | |be able to: |Exercise; | |Pgs 155 - 6 | |

| | |(Scalene) |Derive and use the formula A=½ a b sin C. |Problem solving. | | | |

| |6 |AREA OF A TRIANGLE |Apply Hero’s formula |Q/A to identify a scalene triangle. | |KLB BK II | |

| | | |in problem solving. |Expository approach – applying the | |Pgs 157 - 9 | |

| | |Hero’s formula. | |formula. Worked | | | |

| | | | |examples. | | | |

| | | | |Exercise. | | | |

| | | | | | | | |

|5 |1 |AREA OF QUADRILATERALS & POLYGONS | | | | | |

| | | | | | | | |

| | |Parallelogram and Rhombus. | | | | | |

| | | | | | | | |

| | | |Find area of a parallelogram and rhombus. |Q/A: Identifying a parallelogram, | | | |

| | | | |rhombus; Worked | | | |

| | | | |examples. | |KLB BK II | |

| | | | | | |Pgs 160 -2 | |

| |2 |Kite and trapezium. |Find the area of a kite and a trapezium. |Q/A; | |KLB BK II | |

| | | | |Worked examples; | |Pgs 162-4 | |

| | | | |Written exercise. | | | |

| |3 |Polygons. |Find area of various polygons. |Worked examples. |Charts-polygons. |KLB BK II | |

| | | | |Exercise. | |Pgs 157 - 9 | |

| | | | | | | | |

| | | | | | | | |

| | | | | | | | |

| |4 |AREA OF A CIRCLE |Identify major and minor sectors of circles. |Q/A: Arc of a semi- circle, | |KLB BK II | |

| | | |Find the area of a sector. |quarter-circle, etc. | |Pg 167 - 8. | |

| | |Area of a sector. | |Worked examples, Exercise. | | | |

| | | | | | | | |

| |5 |Angle subtended at circle centre |Find angle subtended at circle centre by an |Review area of a sector; | | | |

| | |by an arc. |arc. |Worked examples. | | | |

| | | | |Exercise. | | | |

| | | | | | | | |

| |6 |Area of an annulus. |Define an annulus. Find |Problem solving- with emphasis on |Illustrative chart |KLB BK II | |

| | | |area of an annulus. |factoring out common terms. |–annulus. |Pg 167 - 8. | |

| | | | | | | | |

|6 |1 |Area of a segment. |Find the difference in area between that of a|Guided discovery; | |KLB BK II | |

| | | |sector and a triangle. |Worked examples, Exercise. | |Pg 169 - 172. | |

| | | | | | | | |

| |2 |Intersecting Circles. |Find area of common region between two |Worked examples, Exercise. | |KLB BK II | |

| | | |circles. |Problem solving. | |Pgs 173 -6 | |

| | | | | | | | |

| | | | | | | | |

| |3 |Intersecting Circles. |Solve further problems related to |Worked examples, Exercise. | |KLB BK II | |

| | | |intersecting circles. |Problem solving. | |Pgs 173 -6 | |

| |4 |SURFACE AREA OF COMMON SOLIDS | |Q/A: |Model prisms. |KLB BK II | |

| | | | |Review surface area of a cylinder, | |Pgs 177 - 8. | |

| | |Prism. | |prism. | | | |

| | | |Find the surface area of a prism. |Worked examples, Exercise. | | | |

| | | | | | | | |

| |5 |Pyramid. |Find the surface area of a pyramid. |Worked examples; |Model pyramids. |KLB BK II | |

| | | | |Supervised practice; | |Pgs 178-180 | |

| | | | |Exercise. | | | |

| | | | | | | | |

| |6 |Cone. |Deduce the formula |Construction: |Model cones. |KLB BK II | |

| | | |Area= π r2 + π r l. |Making a cone from a sector. | |Pgs 180- 1 | |

| | | | |Deduce | | | |

| | | | |Area= π r2 + π r l. | | | |

|7 |1 |Cone. |Find the surface area of a cone. |Examples. |Model cones. |KLB BK II | |

| | | | |Further problem solving. | |Pgs 180- 1 | |

| |2 |Frustum of a cone. |Define a frustum. |Q/A to review similar |Model conical frustum. |KLB BK II | |

| | | |Find surface area of a frustum of a cone. |figures. | |Pgs 181 - 3 | |

| | | | |Worked examples. | | | |

| | | | |Exercises. | | | |

| | | | | | | | |

| | | | | | | | |

| |3 |Frustum of a prism. |Define a frustum. |Q/A to review similar |Model prismatic frustum. |KLB BK II | |

| | | |Find surface area of a frustum of a prism. |figures. | |Pgs 181 - 3 | |

| | | | |Worked examples. | | | |

| | | | |Exercises. | | | |

| | | | | | | | |

| |4 |Sphere & Hemisphere. |Find surface area of a sphere/ hemisphere. |Probing questions leading to |Spheres / globe. |KLB BK II | |

| | | | |discoveries; | |Pgs 183 - 5 | |

| | | | |Examples. | | | |

| | | | |Exercise. | | | |

| | | | | | | | |

| |5,6 |C.A.T.& MID-TERM BREAK | | | | |

|8 |1 |VOLUME OF SOLIDS. | |Q/A: Identifying cross-section of a |Prisms. |KLB BK II | |

| | | | |prism. | |Pgs 186 -9 | |

| | |Prism. | |Worked examples. | | | |

| | | |Find volume of prism. |Exercise. | | | |

| |2 |Pyramid. |Find volume of a pyramid. |Activity: Forming a cube using three |Manila papers, razor |KLB BK II | |

| | | | |pyramids. |blades. |Pgs 189 -191 | |

| | | | |Q/A: Volume of a cube, hence deduce | | | |

| | | | |formula for volume of a pyramid. | | | |

| | | | |Examples and exercise. | | | |

| |3 |Cone. |Find volume of a cone. |Compare a cone with a pyramid; |Cones. |KLB BK II | |

| | | | |Work out examples, | |Pgs 191 - 2 | |

| | | | |Supervised exercise. | | | |

| |4 |Frustum of a cone. |Find volume of a frustum of a cone. |Review L.S.F. and V.S.F. and similar |Model frustums. |KLB BK II | |

| | | | |figures. | |Pgs 192 -3 | |

| | | | |Worked examples & Exercise. | | | |

| |5 |Frustum of a pyramid. |Find volume of a frustum of a pyramid. |Review L.S.F. and V.S.F. and similar |Model frustums. |KLB BK II | |

| | | | |figures. | |Pgs 192 -3 | |

| | | | |Worked examples & Exercise. | | | |

| |6 |Sphere and hemi-sphere. |Find volume of a sphere, hemi-sphere, etc. |Q/A: Surface area of a sphere, | |KLB BK II | |

| | | | |hemi-sphere. | |Pgs 195 - 6 | |

| | | | |Derive: V= 4/3 π r3 | | | |

| | | | |Examples; | | | |

| | | | |Exercise; | | | |

| | | | |Problem solving. | | | |

| | | | | | | | |

|9 |1 |QUADRATIC EXPRESSIONS EQUATIONS | | | | | |

| | | | | | | | |

| | |Expansion. | | | | | |

| | |(Whole numbers) | | | | | |

| | | |Expand algebraic expressions that form |Worked examples; | | | |

| | | |quadratic expressions. |Exercise | |KLB BK II | |

| | | | | | |Pgs 201 - 5 | |

| |2 |Expansion. |Expand fractional algebraic expressions that |Q/A: Expanding simple algebraic | |KLB BK II | |

| | |(With fractions) |form Quadratic expressions. |expressions. | |Pgs 201 - 5 | |

| | | | |Worked examples, Exercise. | | | |

| |3 |Quadratic Identity |Apply the quadratic identity (a + b)2 |Guided discovery; | |KLB BK II | |

| | |(a + b)2 | |Exposition. | |Pg 204. | |

| |4 |Quadratic Identity |Apply the quadratic identity (a - b)2 |Guided discovery; | |KLB BK II | |

| | |(a - b)2 | |Exposition. | |Pg 204. | |

| |5 |Quadratic Identity |Apply the quadratic identity | | | | |

| | |(a + b) (a - b) |(a + b) (a - b) | | | | |

| | | | | | | | |

| |6 |Factorisation. |Factorise quadratic expressions where |Guided discovery; | |KLB BK II | |

| | | |coefficient of x2 is 1. |Worked examples; | |Pgs 205-6 | |

| | | | |Exercise. | | | |

|10 |1 |Factorisation. |Factorise quadratic expressions where |Guided discovery; | |KLB BK II | |

| | | |coefficient of x2 is greater than 1. |Worked examples; | |Pgs 206 -8 | |

| | | | |Exercise. | | | |

| |2 |Quadratic equations. |Solve quadratic equations. |Worked examples; | |KLB BK II | |

| | |(Coefficients whole nos.) | |Exercise and review. | |Pgs 208 – 210. | |

| |3 |Quadratic equations. |Solve quadratic equations. |Worked examples; | |KLB BK II | |

| | |(Coefficients fractions) | |Exercise and review. | |Pgs 208 – 210. | |

| |4 |Forming quadratic equations from |Form quadratic equations from known roots. |Work out examples; | |KLB BK II | |

| | |given + ve roots. | |Exercise. | |Pgs 210-2 | |

| |5 |Forming quadratic equations from |Form quadratic equations from known roots. |Work out examples | |KLB BK II | |

| | |given - ve roots. | |Exercise. | |Pgs 210-2 | |

| | | | | | | | |

| |6 |Forming quadratic equations from |Form quadratic equations from known roots. |Work out examples; | |KLB BK II | |

| | |given both + ve and – ve roots. | |Exercise. | |Pgs 210-2 | |

| | | | | | | | |

|11 |1 |Forming quadratic equations from |Form quadratic equations given situations. |Q/A: Express numbers, measurements | |KLB BK II | |

| | |given situations. | |algebraically; | |Pgs 208 – 210. | |

| | | | |Problem solving; | | | |

| | | | |Exercise review. | | | |

| |2 |Forming quadratic equations from |Form further quadratic equations given |Problem solving; | |KLB BK II | |

| | |real life situations. |situations. |Exercise review. | |Pgs 208 – 210. | |

| | | | | | | | |

| |3 |INEQUALITIES |Define an inequality. |Q/A to identify symbols; |Geo-board. |KLB BK II | |

| | | |Use inequality symbols. |Oral exercise; |Graph papers. |Pgs 213-5 | |

| | |Representation of inequalities. | |Written exercise. | | | |

| |4 |Inequalities on a number line. |Illustrate inequalities on a number line. |Examples of inequalities on a number | | | |

| | | | |line. | | | |

| | | | |Oral exercise. | | | |

| |5 |Solving simple inequalities. |Solve simple inequalities. |Worked examples; |Geo-board. |KLB BK II | |

| | | | |Exercise and review. |Graph papers. |Pgs 215-6 | |

| |6 |Multiplication of inequalities with|Multiply / divide an inequality by a –ve no. |Worked examples; | |KLB BK II | |

| | |a negative number. | |Exercise and review. | |Pgs 216-7 | |

|12, |END OF TERM TWO EXAMINATIONS | |

|13 | | |

|SCHEME OF WORK FORM TWO MATHEMATICS TERM THREE YEAR 2020 |

|1 |1 |INEQUALITIES |The learner should be able to: |Give examples of compound statements |Geo-board. Graph papers. |KLB BK II | |

| | | | |and illustrate them on a number line.| |Pgs 217-8 | |

| | |Compound inequalities. |Illustrate compound inequalities on a number |Oral exercise; | | | |

| | | |line. |Written exercise. | | | |

| | | | | | | | |

| |2 |Simultaneous inequalities. |Solve simultaneous inequalities and determine|Q/A: Solve each inequality at a time,|Geo-board. |KLB BK II | |

| | | |the integral values in the required region. |hence find the common solution / | |Pgs 217-8 | |

| | | | |integral values. |Graph papers. | | |

| | | | |Supervised practice. | | | |

| | | | |Exercise. | | | |

| |3 |Graphs of simple inequalities. |Represent inequalities graphically. |Q/A: Review equations of lines and |Illustrative charts. |KLB BK II | |

| | | | |their graphical representation. | |Pgs 219-223 | |

| | | | |Examples & Exercise. | | | |

| |4 |Inequality from a given graph. |Find the inequality represented by a graph. |Worked examples; | |KLB BK II | |

| | | | |Exercise and review. | |Pgs 219-223 | |

| |5 |Graphs of compound inequalities. |Represent compound inequality statements |Review simple statements, represent |Geo-board Graph papers. |KLB BK II | |

| | | |graphically. |them graphically and obtain the | |Pgs 224-228 | |

| | | | |required region; | | | |

| | | | |Worked examples; | | | |

| | | | |Written exercise; | | | |

| | | | |Exercise review. | | | |

| |6 |Inequality statement from graphs. |Determine the statements that are represented|Worked examples. |Graph papers |KLB BK II | |

| | | |graphically. |Supervised practice. | |Pgs 224-228 | |

| | | | |Exercise. | | | |

| | | | |Problem solving | | | |

|2 |1 |LINEAR MOTION |Define speed, velocity, distance, |Q/A: definitions of terms. |Geo-board Graph papers. |KLB BK II | |

| | |Parameters of motion. |displacement, and acceleration. |Deduce formulae of definitions. | |Pgs 228-230 | |

| | | |Calculate parameters of motion. |Worked examples. | | | |

| | | | |Exercise. | | | |

| | | | | | | | |

| |2 |Velocity and acceleration. |Calculate velocity and acceleration of |Probing questions; |Graph papers. |KLB BK II | |

| | | |motions. |Worked examples; | |Pgs 230-1 | |

| | | | |Exercise. | | | |

| |3 |Distance time graphs. |Plot and interpret distance time graphs. |Probing questions; |Graph papers. |KLB BK II | |

| | | | |Worked examples; | |Pgs 224-228 | |

| | | | |Exercise. | | | |

| | | | | | | | |

| | |4 |Velocity time graphs. |Plot and interpret velocity time |Worked examples. |Geo-board. |KLB BK II |

| | | | |graphs. |Oral exercise; |Graph papers. |Pgs 224-228 |

| | | | |Make inferences from graphs. |Written exercise; | | |

| | | | | |Exercise review. | | |

| | | | | | | | |

| |8 |1 |Product of positive scalar and a|

| | | |vector. |

| |12, |END OF TERM THREE EXAMINATIONS | |

| |13 | | |

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