WK
|SCHEME OF WORK FORM THREE MATHEMATICS TERM ONE YEAR 2020 |
|WK | |TOPIC / SUBTOPIC |LESSON OBJECTIVES |TEACHING / LEARNING |MATERIALS |REFERE- | REMARKS |
|NO. | | | |ACTIVITIES |/ |NCES | |
| | | | | |RESOURCES | | |
|1 |1 |QUADRATIC EXPRESSIONS AND |By the end of the lesson, the learner should | | | | |
| | |EQUATIONS |be able to: | | | | |
| | | | |Questioning to review quadratic | | | |
| | |Perfect squares. |Factorise quadratic expressions. |expressions. | |KLB BK III | |
| | | |Identify perfect squares. |Oral exercise; | |Pg 1 | |
| | | | |Written exercise. | | | |
| |2 |Completing the square. |By the end of the lesson, the learner should |Guided discovery; | |KLB BK III | |
| | |(last term not given) |be able to: |Supervised practice; | |Pgs 2 - 3 | |
| | | |Make quadratic expressions perfect squares |Written exercise. | | | |
| | | |when last term is not given. | | | | |
| |3 |Completing the square. |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | |(middle term not given) |be able to: |Supervised practice; | |Pgs 3 - 4 | |
| | | |Make quadratic expressions perfect squares |Written exercise. | | | |
| | | |when middle term is not given. |Exercise review. | | | |
| |4 |Quadratic equations. |By the end of the lesson, the learner should |Worked examples; |Calculators. |KLB BK III | |
| | |(1 as coefficient of x) |be able to: |Supervised practice; | |Pgs 5 - 6 | |
| | | |Solve quadratic equations by completing the |Written exercise; | | | |
| | | |square. |Exercise review. | | | |
| |5 |Quadratic equations. |By the end of the lesson, the learner should |Worked examples; |Calculators. |KLB BK III | |
| | |(coefficient greater than 1) |be able to: |Supervised practice; | |Pgs 3 - 4 | |
| | | |Solve quadratic equations by completing the |Written exercise; | | | |
| | | |square. |Exercise review. | | | |
| |6 |The quadratic formula. |By the end of the lesson, the learner should |Review completing the square; | |KLB BK III | |
| | | |be able to: |Guided derivation of formula. | |Pgs 7 - 8 | |
| | | |Derive and recall the quadratic formula. | | | | |
| |7 |The quadratic formula. |By the end of the lesson, the learner should |Questioning to identify coefficients; | |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 7 - 8 | |
| | | |Use the quadratic formula to solve quadratic |Supervised practice; | | | |
| | | |equations. |Written exercise; | | | |
| | | | |Exercise review. | | | |
|2 |1 |Formulating quadratic |By the end of the lesson, the learner should |Guided discovery; | |KLB BK III | |
| | |equations. |be able to: |Worked examples. | |Pgs 9-10 | |
| | | |Formulate quadratic equations from given | | | | |
| | | |situations. | | | | |
| |2 |Solutions of formulated |By the end of the lesson, the learner should |Supervised practice; | |KLB BK III | |
| | |quadratic equations. |be able to: |Written exercise; | |Pgs 10-12 | |
| | | |Find solutions of formulated quadratic |Exercise review. | | | |
| | | |equations. | | | | |
| | | | | | | | |
| |3 |Tables of quadratic functions.|By the end of the lesson, the learner should |Completing tables; | |KLB BK III | |
| | | |be able to: |Oral exercises; | |Pgs 12-14 | |
| | | |Fill in tables of quadratic functions. |Written exercise. | | | |
| |4,5 |Graphs of quadratic functions.|By the end of the lesson, the learner should |Plotting graphs; |Graph papers, geoboard. |KLB BK III | |
| | | |be able to: |Supervised practice; | |Pgs 12-14 | |
| | | |Draw graphs of quadratic functions. |Written exercise. | | | |
| |6,7 |Graphical solutions of |By the end of the lesson, the learner should |Guided discovery; |Graph papers, geoboard. |KLB BK III | |
| | |quadratic equations. |be able to: |Oral and written exercises. | |Pgs 15-19 | |
| | | |Obtain solutions of quadratic equations from | | | | |
| | | |graphs. | | | | |
|3 |1,2 |Graphical solutions of |By the end of the lesson, the learner should |Review equations of a line, a quadratic |Graph papers, geoboard. |KLB BK III | |
| | |simultaneous equations. |be able to: Solve two simultaneous equations |function; | |Pgs 20-21 | |
| | | |graphically. |Worked example; | | | |
| | | | |Written exercise. | | | |
| | | | | | | | |
| |3 |Further graphical solutions. |By the end of the lesson, the learner should |Guided discovery; |Graph papers, geoboard. |KLB BK III | |
| | | |be able to: Solve simultaneous equations |Worked examples; | |Pgs 21-23 | |
| | | |graphically. |Written exercises; | | | |
| | | | |Exercise review, | | | |
| | | | |Problem solving. | | | |
| |4,5 |APPROXIMATIONS AND ERRORS |By the end of the lesson, the learner should |Displaying figures and signs on a |Calculator. |KLB BK III | |
| | | |be able to: |calculator; | |Pgs 24-28 | |
| | |Basic calculator operations. | |Hands-on practice. | | | |
| | | |Use a calculator to perform basic operations. |Oral exercise; | | | |
| | | | |Written exercise. | | | |
| |6,7 |Roots and powers using a |By the end of the lesson, the learner should |Displaying figures and signs on a |Calculator. |KLB BK III | |
| | |calculator. |be able to: |calculator; | |Pgs 26-28 | |
| | | |Find roots and powers of numbers using a |Hands-on practice. | | | |
| | | |calculator. |Oral exercise; | | | |
| | | | |Written exercise. | | | |
|4 |1 |Approximation by rounding off |By the end of the lesson, the learner should |Oral and written exercises. | |KLB BK III | |
| | |numbers. |be able to: | | |Pgs 29-31 | |
| | | |Round off numbers. | | | | |
| |2 |Approximation by truncating. |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | | |be able to: |Oral and written exercises. | |Pgs 29-31 | |
| | | |Truncate a figure to given number of dec. | | | | |
| | | |places. | | | | |
| |3,4 |Accuracy and errors. |By the end of the lesson, the learner should |Exposition of new terms; |Calculator. |KLB BK III | |
| | |Absolute error. |be able to: |Oral and written exercises. | |Pgs 31-32 | |
| | | |Identify lower and upper limits of a measured | | | | |
| | | |value. | | | | |
| | | |Find absolute error of a measured value. | | | | |
| |5,6 |Relative and percentage error.|By the end of the lesson, the learner should |Exposition of new terms; |Calculator. |KLB BK III | |
| | | |be able to: |Guided discovery; | |Pgs 32-33 | |
| | | |Find relative and percentage errors of a |Oral and written exercises. | | | |
| | | |measured value. | | | | |
| |7 |Round off error. |By the end of the lesson, the learner should |Q/A to review rounding off; |Calculator. |KLB BK III | |
| | | |be able to: |Oral and written exercises. | |Pgs 34-35 | |
| | | |Find error introduced by rounding off a | | | | |
| | | |figure. | | | | |
|5 |1 |Truncation error. |By the end of the lesson, the learner should |Worked examples; |Calculator. |KLB BK III | |
| | | |be able to: |Written exercise. | |Pgs 34-35 | |
| | | |Find error introduced by truncating a figure. | | | | |
| |2 |Error propagated in a sum. |By the end of the lesson, the learner should |Guided discovery; |Calculator. |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 35-36 | |
| | | |Find error introduced when two figures are |Supervised practice. | | | |
| | | |added. |Written exercise. | | | |
| |3 |Error in a difference of two |By the end of the lesson, the learner should |Guided discovery; |Calculator. |KLB BK III | |
| | |numbers. |be able to: |Worked examples; | |Pgs 35-36 | |
| | | |Find error introduced when a figure is |Supervised practice. | | | |
| | | |subtracted from another. |Written exercise. | | | |
| |4 |Error in a sum and a |By the end of the lesson, the learner should |Guided discovery; |Calculator. |KLB BK III | |
| | |difference. |be able to: |Worked examples; | |Pgs 38-39 | |
| | | |Find error introduced by both addition and |Written exercise. | | | |
| | | |subtraction. | | | | |
| |5 |Error in a product. |By the end of the lesson, the learner should |Guided discovery; |Calculator. |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 36-37 | |
| | | |Find error introduced when two figures are |Written exercise. | | | |
| | | |multiplied. | | | | |
| |6 |Error propagated by division. |By the end of the lesson, the learner should |Worked examples. |Calculator. |KLB BK III | |
| | | |be able to: |Group activities. | |Pgs 37-38 | |
| | | |. |Exercise review. | | | |
| |7 |Error propagated by division |By the end of the lesson, the learner should |Probing questions; |Calculator. |KLB BK III | |
| | |and multiplication. |be able to: |Guided discovery; | |Pgs 38-40 | |
| | | |Find error propagated by division and |Worked examples; | | | |
| | | |multiplication. |Written exercise. | | | |
| | | | | | | | |
|6 |1,2 |Other propagated errors. |By the end of the lesson, the learner should |Drawing; |Calculator. |KLB BK III | |
| | | |be able to: |Oral exercise; | |Pgs 38-40 | |
| | | |Evaluate other propagation errors. |Measure +ve and –ve angles. | | | |
| |2,3 |TRIGONOMETRY |By the end of the lesson, the learner should |Guided discovery; |Geometrical set, |KLB BK III | |
| | | |be able to: |Supervised practice; |geeoboard. |Pgs 41-44 | |
| | |The unit circle. |Draw the unit circle. |Exercises. | | | |
| | | |Identify quadrants of the unit circle. | | | | |
| |4,5 |Trigonometric ratios of acute |By the end of the lesson, the learner should |Guided discovery; |Geometrical set, |KLB BK III | |
| | |angles. |be able to: |Oral and written exercises. |geeoboard. |Pgs 34 - 37 | |
| | | |Read off sin, cos and tan of acute angles from| | | | |
| | | |the unit circle. | | | | |
| |6,7 |Trigonometric ratios of angles|By the end of the lesson, the learner should |Guided discovery; |Geometrical set, |KLB BK III | |
| | |greater than 900. |be able to: |Oral and written exercises. |geeoboard. |Pgs 44-48 | |
| | | |Read off sin, cos and tan of angles greater | | | | |
| | | |than 900 from the unit circle. | | | | |
|7 |1 |Trigonometric ratios of |By the end of the lesson, the learner should |Guided discovery; |Geoboard; |KLB BK III | |
| | |negative angles. |be able to: |Oral and written exercises. |Graph books. |Pgs 48-49 | |
| | | |Read off sin, cos and tan of negative angles | | | | |
| | | |from the unit circle. | | | | |
| |2 |Trigonometric ratios of angles|By the end of the lesson, the learner should |Guided discovery; |Geoboard; |KLB BK III | |
| | |greater than 3600. |be able to: |Supervised practice; |Graph books. |Pgs 49-51 | |
| | | |Read off sin, cos and tan of angles greater |Mixed exercises; | | | |
| | | |than 3600 from the unit circle. |Exercise review. | | | |
| |3,4 |Trigonometric ratios using |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK III | |
| | |mathematical tables. |be able to: |Supervised practice; | |Pgs 51-54 | |
| | | |Read off sin, cos and tan of angles from |Mixed exercises; | | | |
| | | |mathematical tables. |Exercise review. | | | |
| |5-7 |C.A.T. & MID TERM BREAK | | | | |
|8 |1,2 |Solution of trig. equations. |By the end of the lesson, the learner should |Practical activities; |Mathematical tables. |KLB BK III | |
| | | |be able to: |Supervised practice; | |Pgs 55-56 | |
| | | |Solve trigonometric equations. |Written exercise. | | | |
| |3,4 |Angle whose trig. ratio is |By the end of the lesson, the learner should |Guided discovery; |Mathematical tables. |KLB BK III | |
| | |given. |be able to: |Mixed exercises; | |Pgs 51-54 | |
| | | |Find an angle whose trig. ratio is given. |Exercise review. | | | |
| | | | | | | | |
| |5 |Trigonometric ratios using a |By the end of the lesson, the learner should |Oral exercise; |Calculator. |KLB BK III | |
| | |calculator. |be able to: |Supervised practice; | |Pgs 48-60 | |
| | | |Find sin, cos and tan of angles using a |Written exercise. | | | |
| | | |calculator. | | | | |
| |6,7 |Trigonometric ratios using a |By the end of the lesson, the learner should | | | | |
| | |calculator. |be able to: | | | | |
| | | |Find sin, cos and tan of angles using a | | | | |
| | | |calculator. | | | | |
|9 |1,2 |Radian measure. |By the end of the lesson, the learner should |Exposition of new concepts; |Calculator. |KLB BK III | |
| | | |be able to: |Completing tables. | |Pgs 58-61 | |
| | | |Define a radian. |Written exercise. | | | |
| | | |Express degrees in radians. | | | | |
| |3,4 |Trigonometric ratios of angles|Find sin, cos and tan of angles in radians. |Exposition of new concepts; |Calculator. |KLB BK III | |
| | |in radians. | |Completing tables. | |Pgs 58-61 | |
| | | | |Written exercise. | | | |
| |5,6 |Simple trigonometric graphs. |By the end of the lesson, the learner should |Completing tables of values; |Calculator. |KLB BK III | |
| | | |be able to: |Supervised practice; | |Pgs 62-65 | |
| | | |Draw graphs of simple trigonometric |Written exercise. | | | |
| | | |expressions. | | | | |
| |7 |Other trigonometric graphs. |By the end of the lesson, the learner should |Completing tables of values; |Calculator. |KLB BK III | |
| | | |be able to: Draw graphs of trigonometric |Supervised practice; | |Pgs 61 - 63 | |
| | | |expressions on same axes. |Written exercise. | | | |
|10 |1 |The sine rule. |By the end of the lesson, the learner should |Exposition leading to discovery. | |KLB BK III | |
| | | |be able to: | | |Pgs 65-68 | |
| | | |Recall the sine rule. | | | | |
| |2,3 |Application of the sine rule. |By the end of the lesson, the learner should |Worked examples; |Calculator. |KLB BK III | |
| | | |be able to: |Problem solving; | |Pgs 68-71 | |
| | | |Use the sine rule to solve triangles. |Exercise review. | | | |
| |4 |The cosine rule. |By the end of the lesson, the learner should |Exposition leading to discovery. | |KLB BK III | |
| | | |be able to: | | |Pgs 71-72 | |
| | | |Recall the cosine rule. | | | | |
| |5,6 |Application of the cosine |By the end of the lesson, the learner should |Worked examples; |Calculator. |KLB BK III | |
| | |rule. |be able to: |Problem solving; | |Pgs 73-75 | |
| | | |Use the cosine rule to solve triangles. |Exercise review. | | | |
| |7 |Application of both sine and |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | |cosine rules. |be able to: |Problem solving; | |Pgs 76-77 | |
| | | |Solve triangles using both sine and cosine |Exercise review. | | | |
| | | |rules. | | | | |
|11 |1 |SURDS |By the end of the lesson, the learner should |Probing questions; | |KLB BK III | |
| | | |be able to: |Exposition. | |78-79 | |
| | |Irrational numbers. |Identify rational and irrational numbers. | | | | |
| | | |Define a surd. | | | | |
| |2,3 |Simplification of surds. |By the end of the lesson, the learner should |Oral exercise; | |KLB BK III | |
| | | |be able to: |Written exercise. | |Pgs 79-80 | |
| | | |Identify order of surds. | | | | |
| | | |Simplify surds. | | | | |
| |4,5 |Addition and subtraction of |By the end of the lesson, the learner should |Q/A to review order of surds; | |KLB BK III | |
| | |surds. |be able to: |Worked examples; | |Pgs 88 - 96 | |
| | | |Add and subtract surds. |Oral exercise; | | | |
| | | | |Written exercise. | | | |
| |6,7 |Multiplication of surds. |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | | |be able to: |Oral exercise; | |Pgs 81-84 | |
| | | |Obtain product of surds. |Written exercise. | | | |
|12, | |END OF TERM ONE EXAM | |
|13 | | | |
|SCHEME OF WORK FORM THREE MATHEMATICS TERM TWO YEAR 2020 |
|WK | |TOPIC / SUBTOPIC |LESSON OBJECTIVES |TEACHING / LEARNING |MATERIALS |REFERE- | REMARKS |
|NO. | | | |ACTIVITIES |/ |NCES | |
| | | | | |RESOURCES | | |
|1 |1,2 |Division of surds. |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | | |be able to: |Oral exercise; | |Pgs 81-84 | |
| | | |Obtain quotient of two surds. |Written exercise. | | | |
| |3 |Rationalizing a fraction |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | |having a surd. |be able to: |Supervised practice; | |Pgs 85-86 | |
| | | |Rationalize denominator of a fraction. |Written exercise. | | | |
| |4,5 |Rationalizing using a |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | |conjugate. |be able to: |Supervised practice; | |Pgs 86-87 | |
| | | |Rationalize denominator of a fraction using a |Written exercise. | | | |
| | | |conjugate. | | | | |
| |6,7 |Rationalizing and |By the end of the lesson, the learner should |Review trigonometric ratios expressed in| |KLB BK III | |
| | |simplification. |be able to: |surd form; | |Pgs 87-88 | |
| | |(problem solving) |Rationalize and simplify expressions. |Problem solving, | | | |
| | | | |Review mixed exercise. | | | |
|2 |1,2 |FURTHER LOGS |By the end of the lesson, the learner should |Review laws of indices; | |KLB BK III | |
| | | |be able to: |Probing questions leading to derivation | |Pgs 89-91 | |
| | |Laws of logs. |Recall the laws of logs. |of laws of logs. | | | |
| |3,4 |Application of laws of logs. |By the end of the lesson, the learner should |Review laws of logs; | |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 92-93 | |
| | | |Apply the laws of logs in evaluating |Supervised practice; | | | |
| | | |expressions. |Exercises. | | | |
| | | | |Review of exercises. | | | |
| |5,6 |Logarithmic equations and |By the end of the lesson, the learner should |Review laws of logs; |Calculator. |KLB BK III | |
| | |expressions. |be able to: |Worked examples; | |Pgs 93-95 | |
| | | |Evaluate logarithmic expressions. |Supervised practice; | | | |
| | | |Solve logarithmic equations. |Exercises. | | | |
| |7 |Further logarithmic equations |By the end of the lesson, the learner should |Worked examples; |Calculator. |KLB BK III | |
| | |and expressions. |be able to: |Supervised practice; | |Pgs 96-97 | |
| | | |Solve further logarithmic equations |Mixed exercises. | | | |
| | | | |Exercise review. | | | |
|3 |1 |COMMERCIAL ARITHMETIC (II) |By the end of the lesson, the learner should |Q/A to review simple interest formula; |Calculator. |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 98-99 | |
| | |Simple interest. | |Written exercise. | | | |
| | | |Find simple interest earned. | | | | |
| |2,3 |Rate of interest, principal |By the end of the lesson, the learner should |Worked examples; |Calculator. |KLB BK III | |
| | |and amount. |be able to: |Written exercise. | |Pgs 100-1 | |
| | | |Find rate of interest, principal and amount. | | | | |
| |4,5 |Compound interest formula. |By the end of the lesson, the learner should |Exposition leading to discovery of |Calculator. |KLB BK III | |
| | | |be able to: |formula; | |Pgs 102-3 | |
| | | |Recall the compound interest formula. | | | | |
| |6,7 |Applying compound interest |By the end of the lesson, the learner should |Worked examples; |Calculator. |KLB BK III | |
| | |formula. |be able to: |Supervised practice; | |Pgs 105-7 | |
| | | |Apply compound interest formula. |Written exercise; | | | |
| | | | |Exercise review. | | | |
|4 |1 |Appreciation. |By the end of the lesson, the learner should |Q/A to review compound interest formula.|Calculator. |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 108-110 | |
| | | |Find value of an item after appreciation. |Written exercise; | | | |
| | | | |Exercise review. | | | |
|4 |2 |Depreciation. |By the end of the lesson, the learner should |Q/A to review compound interest formula.|Calculator. |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 108-110 | |
| | | |Find value of an item after depreciation. |Written exercise; | | | |
| | | | |Exercise review. | | | |
| |3,4 |Hire purchase. |By the end of the lesson, the learner should |Worked examples; |Calculator. |KLB BK III | |
| | | |be able to: |Written exercise; | |Pgs 110-112 | |
| | | |Find cost of an item when bought on hire |Exercise review. | | | |
| | | |purchase. | | | | |
| |5 |Taxable income. |By the end of the lesson, the learner should |Probing questions; |Calculator, income tax |KLB BK III | |
| | | |be able to: |Exposition of new terms |tables. |Pgs 112-4 | |
| | | |Define income tax. |Oral exercise; | | | |
| | | |Define taxable income, rate of taxation and |Simple exercise. | | | |
| | | |relief. | | | | |
| | | |Find taxable income. | | | | |
| |6,7 |Income tax and PAYE. |By the end of the lesson, the learner should |Worked examples; |Mathematical tables. |KLB BK III | |
| | | |be able to: |Exercises. | |Pgs 115-6 | |
| | | |Determine PAYE remitted by a tax payer. | | | | |
|5 |1,2 |PAYE under special conditions.|By the end of the lesson, the learner should |Exposition of special conditions, e.g. | |KLB BK III | |
| | | |be able to: |free housing, insurance policies, special| |Pgs 116-8 | |
| | | |Calculate income tax paid under special |benefits, share dividends, etc. | | | |
| | | |conditions. |Worked examples; | | | |
| | | | |Exercises. | | | |
| |3,4 |Income tax |By the end of the lesson, the learner should |Mixed exercise. |Past exam papers. |KLB BK III | |
| | |(mixed exercise) |be able to: |Problem solving; | |Pgs 116-8 | |
| | | |Work out sums involving income tax |Reversing income tax computation to find | | | |
| | | | |taxable income. | | | |
|5 |5,6 |CIRCLES- CHORD AND TANGENTS |By the end of the lesson, the learner should |Q/A to review area of a circle; |Calculator. |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 124-6 | |
| | |Length of an arc. | |Written exercise. | | | |
| | | |Find the length of an arc. | | | | |
| | | |Find angle subtended by an arc. | | | | |
| |7 |Perpendicular bisector of a |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | |chord. |be able to: |Problem solving. | |Pgs 127-8 | |
| | | |Construct a perpendicular bisector of a chord.| | | | |
|6 |1,2 |Parallel chords. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Problem solving. | |Pgs 129-131 | |
| | | |Construct parallel chords. | | | | |
| | | |Solve problems involving parallel chords. | | | | |
| |3,4 |Equal chords. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Guided discovery; | |Pgs 131-2 | |
| | | |Identify properties of equal chords. |Problem solving. | | | |
| |5 |Internally intersecting |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | |chords. |be able to: |Worked examples; | |Pgs 132-4 | |
| | | |Identify internally intersecting chords. |Written exercise. | | | |
| | | |Work out sums involving internally | | | | |
| | | |intersecting chords. | | | | |
| |6,7 |Externally intersecting |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | |chords. |be able to: |Worked examples; | |Pgs 134-9 | |
| | | |Identify externally intersecting chords. |Written exercise; | | | |
| | | |Work out sums involving externally |Mixed exercise | | | |
| | | |intersecting chords. |Exercise review. | | | |
|7 |1 |Tangent to circle. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Making deductions; | |Pgs 139-142 | |
| | | |Identify a tangent and a secant. |Simple problem solving. | | | |
| | | |Construct a tangent to a circle. | | | | |
| |2,3 |Tangents from a common point. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Making deductions; | |Pgs 142-8 | |
| | | |Construct tangents to a circle. |Simple problem solving. | | | |
| | |C.A.T & MID TERM BREAK | | | | |
| | | | | | | |
| |4-7 | | | | | |
|8 |1,2 |Tangents to two circles. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Making deductions; | |Pgs 148-151 | |
| | | |Construct tangents to two circles. |Simple problem solving. | | | |
| |3,4 |Internally touching circles. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Making deductions; | |Pgs 151-157 | |
| | | |Work out calculations involving internally |Problem solving. | | | |
| | | |touching circles. | | | | |
| |5,6 |Externally touching circles. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Making deductions; | |Pg151-7. | |
| | | |Work out calculations involving externally |Problem solving. | | | |
| | | |touching circles. | | | | |
| |7 |Angle in alternate segment. |By the end of the lesson, the learner should |Geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Making deductions; | |Pgs 157-164 | |
| | | |Identify the angle in alternate segment of a |Oral exercise; | | | |
| | | |circle. |Written exercise; | | | |
| | | |Find unknown angles. |Exercise review. | | | |
|9 |1,2 |Inscribed circle. |By the end of the lesson, the learner should |Guided geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Measuring radius, altitude, etc. | |Pgs 164-5 | |
| | | |Construct an inscribed circle. | | | | |
| |3 |Circumscribed circle. |By the end of the lesson, the learner should |Guided geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Measuring radius, altitude, etc. | |Pgs 165-7 | |
| | | |Construct an circumscribed circle. | | | | |
| |4 |Escribed circle. |By the end of the lesson, the learner should |Guided geometrical construction; |Geometrical set. |KLB BK III | |
| | | |be able to: |Making inferences. | |Pgs 165-7 | |
| | | |Construct an escribed circle. | | | | |
| |5 |MATRICES |By the end of the lesson, the learner should |Guided discovery of what a matrix is. |Chart showing tabular |KLB BK III | |
| | | |be able to: |Probing questions. |information. |Pgs 168-170 | |
| | |Order of a matrix. |State order of a matrix. | | | | |
| | | |Identify elements of a matrix. | | | | |
| |6,7 |Addition and subtraction of |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | |matrices. |be able to: |Oral exercise; | |Pgs 170-4 | |
| | | |Work out addition and subtraction of matrices.|Written exercise. | | | |
| | | | | | | | |
|10 |1,2 |Multiplication of matrices. |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | | |be able to: |Supervised exercise; | |Pgs 177-182 | |
| | | |Work out multiplication of two matrices. |Written exercise. | | | |
| | | | | | | | |
| |3,4 |Multiplication of matrices. |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | |(contd) |be able to: |Supervised exercise; | |Pgs 177-182 | |
| | | |Work out multiplication of two matrices. |Written exercise. | | | |
| | | | | | | | |
|10 |5 |Determinant of a matrix. |By the end of the lesson, the learner should |Exposition of identity matrix, | |KLB BK III | |
| | | |be able to: |determinant of a matrix. | |Pgs 182-3 | |
| | | |Find determinant of a matrix. |Simple problem solving. | | | |
| |6,7 |Inverse of a matrix. |By the end of the lesson, the learner should |Guided discovery that | |KLB BK III | |
| | | |be able to: |AA -1 = I; | |Pgs 183-7 | |
| | | |Find the inverse of a matrix. |Exposition and explanations; | | | |
| | | | |Worked examples; | | | |
| | | | |Written exercise. | | | |
|11 |1,2 |Solutions of simultaneous |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | |equations using matrices. |be able to: |Supervised practice; | |Pgs 188-90 | |
| | | |Solve simultaneous equations using matrix |Written exercises; | | | |
| | | |method. | | | | |
| |3,4 |Solutions of simultaneous |By the end of the lesson, the learner should |Exercise review; | |KLB BK III | |
| | |equations using matrices. |be able to: |Problem solving. | |Pgs 188-90 | |
| | | |Solve simultaneous equations using matrix | | | | |
| | | |method. | | | | |
| | |FORMULAE AND VARIATION |By the end of the lesson, the learner should |Q/A- examples of formulae; | |KLB BK III | |
| | | |be able to: |Worked examples; Supervised practice; | |Pgs 191-4 | |
| | |Subject of a formula. | |Written exercise. | | | |
| |5 | |Change the subject of a simple formula. | | | | |
| |6,7 |Subject of a formula. |By the end of the lesson, the learner should |Examples using other formulae, | |KLB BK III | |
| | | |be able to: |Supervised practice; | |Pgs 191-4 | |
| | | |Change the subject of a complicated formula. |Written exercise. | | | |
|12, | | |
|13 |END OF TERM EXAMINATIONS | |
|SCHEME OF WORK FORM THREE MATHEMATICS TERM THREE YEAR 2020 |
|WK | |TOPIC / SUBTOPIC |LESSON OBJECTIVES |TEACHING / LEARNING |MATERIALS |REFERE- | REMARKS |
|NO. | | | |ACTIVITIES |/ |NCES | |
| | | | | |RESOURCES | | |
|1 |1 |Direct variation. |By the end of the lesson, the learner should |Probing questions; | |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 194-7 | |
| | | |Evaluate expressions involving direct |Oral exercise; | | | |
| | | |variation. |Written exercise. | | | |
| |2 |Inverse variation. |By the end of the lesson, the learner should |Probing questions; | |KLB BK III | |
| | | |be able to: |Drawing a graph showing inverse | |Pgs 197-201 | |
| | | |Evaluate expressions involving inverse |variation; | | | |
| | | |variation. |Worked examples; | | | |
| | | | |Oral exercise; | | | |
| | | | |Written exercise. | | | |
| |3,4 |Partial variation. |By the end of the lesson, the learner should |Exposition; | |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 201-4 | |
| | | |Evaluate given expressions involving partial |Oral exercise; | | | |
| | | |variation. |Written exercise. | | | |
| |5 |Formulating expressions on |By the end of the lesson, the learner should |Exposition; | |KLB BK III | |
| | |partial variation. |be able to: |Worked examples; | |Pgs 201-4 | |
| | | |Formulate expressions involving partial |Oral exercise; | | | |
| | | |variation. |Written exercise. | | | |
| | | |Evaluate formulated expressions involving | | | | |
| | | |partial variation. | | | | |
| |6,7 |Joint variation. |By the end of the lesson, the learner should |Review direct and inverse variation; | |KLB BK III | |
| | | |be able to: |Worked examples; | |Pgs 204-5 | |
| | | |Evaluate given expressions involving joint |Written exercise. | | | |
| | | |variation. | | | | |
|2 |1 |Further joint variation. |By the end of the lesson, the learner should |Worked examples; | |KLB BK III | |
| | | |be able to: |Written exercise; | |Pgs 205-6 | |
| | | |Evaluate expressions involving joint variation|Exercise review. | | | |
| | | |and changing variables. | | | | |
| |2 |SEQUENCES AND SERIES |By the end of the lesson, the learner should |Guided discovery; | |KLB BK III | |
| | | |be able to: |Oral exercise; | |Pgs 207-8 | |
| | |Sequences. |Determine the nth term in a sequence. |Written exercise. | | | |
| | | |Deduce the rule used in a sequence. | | | | |
| |3,4 |Arithmetic sequence. |By the end of the lesson, the learner should |Guided discovery; | |KLB BK III | |
| | | |be able to: |Oral exercise; | |Pgs 209-11 | |
| | | |Identify an arithmetic sequence. |Written exercise. | | | |
| | | |Find unknown terms in an arithmetic sequence. | | | | |
| |5 |Geometric sequence. |By the end of the lesson, the learner should |Guided discovery; | |KLB BK III | |
| | | |be able to: |Oral exercise; | |Pgs 211-4 | |
| | | |Identify a geometric sequence. |Written exercise. | | | |
| | | |Find unknown terms in a geometric sequence. | | | | |
| |6,7 |Arithmetic progression. |By the end of the lesson, the learner should be|Exposition; | |KLB BK III | |
| | | |able to: |Supervised practice; | |Pgs 214-6 | |
| | | |Find number of terms in an A.P. |Written exercise. | | | |
| | | |Find sum of given terms of an A.P. | | | | |
|3 |1 |Geometric progression. |By the end of the lesson, the learner should be|Guided discovery; | |KLB BK III | |
| | | |able to: |Oral exercise; | |Pgs 216-220 | |
| | | |Find number of terms in a G.P. |Written exercise. | | | |
| | | |Find sum of given terms of a G.P. | | | | |
| |2,3 |Arithmetic and geometric |By the end of the lesson, the learner should be|Worked examples; |Past exam papers. |KLB BK III | |
| | |progressions. |able to: |Supervised practice; | |Pgs 216-220 | |
| | | |Work out expressions involving both arithmetic |Mixed exercise. | | | |
| | | |and geometric progressions. | | | | |
|3 |4 |VECTORS (II) |By the end of the lesson, the learner should be|Q/A to review co-ordinates in two |Wire mesh in three |KLB BK III | |
| | |Co-ordinates of a point in |able to: |dimensions. |dimensions. |Pgs 221-2 | |
| | |three dimensions. |State co-ordinates of a point in three |Exposition of Z-axis; | | | |
| | | |dimensions. |Oral exercise; | | | |
| |5,6 |Column vectors. |By the end of the lesson, the learner should be|Q/A to review column vector and position | |KLB BK III | |
| | | |able to: |vectors in two dimensions; | |Pgs 223-6 | |
| | | |Find a column vector given two points. |Worked examples; | | | |
| | | | |Written exercise. | | | |
| |7 |Column vectors in terms of |By the end of the lesson, the learner should be|Q/A to review unit vectors in two | |KLB BK III | |
| | |unit vectors. |able to: |dimensions; | |Pgs 226-8 | |
| | | |Find a column vectors in terms of unit vectors.|Worked examples; | | | |
| | | | |Oral exercise; | | | |
| | | | |Written exercise. | | | |
|4 |1,2 |Magnitude of a vector |By the end of the lesson, the learner should be|Q/A to review magnitude of a vector in | |KLB BK III | |
| | | |able to: |two dimensions; | |Pgs 229-230 | |
| | | |Find magnitude of a vector in three dimensions.|Worked examples; | | | |
| | | | |Oral exercise; | | | |
| | | | |Written exercise. | | | |
| |3,4 |Parallel vectors. |By the end of the lesson, the learner should be|Worked examples; |Geoboard. |KLB BK III | |
| | | |able to: |Oral exercise; | |Pgs 231-2 | |
| | | |Identify parallel vectors. |Written exercise. | | | |
|4 |5,6 |Collinear points. |By the end of the lesson, the learner should be|Worked examples; |Geoboard. |KLB BK III | |
| | | |able to: |Oral exercise; | |Pgs 231-2 | |
| | | |Show that three points are collinear. |Written exercise. | | | |
| |7 |Parallel vectors and collinear|By the end of the lesson, the learner should be|Worked examples; |Past exam papers. |KLB BK III | |
| | |points. |able to: |Oral exercise; | |Pgs 233-7 | |
| | | |Evaluate parallel vectors and collinear points.|Written exercise. | | | |
|5 |1,2 |Internal division of a line. |By the end of the lesson, the learner should be|Oral exercise; | |KLB BK III | |
| | | |able to: |Written exercise. | |Pgs 237-8 | |
| | | |Determine the ratio a point divides a segmented| | | | |
| | | |line. | | | | |
| |3,4 |External division of a line. |By the end of the lesson, the learner should be|Oral exercise; | |KLB BK III | |
| | | |able to: |Written exercise. | |Pgs 238-9 | |
| | | |Determine the ratio an external point divides a| | | | |
| | | |segmented line. | | | | |
| | |5,6 |The ratio theorem. |By the end of the lesson, the learner |Guided discovery; | |KLB BK III |
| | | | |should be able to: |Worked examples. | |Pgs 240-8 |
| | | | |Apply the ratio theorem. | | | |
| |8 |1 |
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