| KLB Form 1 Mathematics Schemes of Work Term 3 2020/2021 | |||||||
| WK. NO | L / NO | TOPIC / SUBTOPIC | LESSON / SPECIFIC OBJECTIVES | TEACHING / LEARNING ACTIVITIES | MATERIALS / SOURCES | REFERENCES | REMARKS |
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1
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1, 2 | MASS WEIGHT AND DENSITY Mass & weight |
By the end of the lesson learners should be able to: Solve problems relating to mass & weight. |
Q/A: Definition of mass and weight. Discuss units of mass and weight. Oral exercise on relation between mass and weight. |
Beam balance Spring balance calibrated in Newton. |
KLB BOOK 1 Pg. 148-9 |
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| 3,4 | Density | By the end of the lesson learners should be able to: Calculate density in Kg/m3 and g/cm3 |
Worked examples Supervised practice. Exercises. |
KLB BOOK 1 Pg. 149-152 |
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| 5 | TIME. Units of time. |
By the end of the lesson learners should be able to: Convert units of time into S.I. unit. |
Oral practice. Written exercise. |
Stop clocks / watches. | KLB BOOK 1 Pg. 153-4 |
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| 6 | 12 / 24 hr. system of time. | By the end of the lesson learners should be able to: Express 12-hr. system in 24-hr. system. |
Oral practice. Written exercise. |
Stop clocks / watches. | KLB BOOK 1 Pg. 154-6 |
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| 2 | 1, 2 | Travel timetables. | By the end of the lesson learners should be able to: Interpret travel timetables |
Oral practice. Written exercise. Review of exercise. |
Chart-Travel timetables. | KLB BOOK 1 Pg. 156-9 |
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| 3 | LINEAR EQUATIONS. Simple equations. |
By the end of the lesson learners should be able to: Solve simple equations with one unknown. |
Worked examples. Exercise. |
Graph papers, geo-board / grid. | KLB BOOK 1 Pg. 160-1 |
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| 4 | Fractions with one unknown. | By the end of the lesson learners should be able to: Solve simple equations with fractions. |
Worked examples. Exercise. |
KLB BOOK 1 Pg. 161-2 |
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| 5, 6 | Word problems | By the end of the lesson learners should be able to: Solve equations involving fractions and whole numbers. |
Worked examples. Supervised practice. Exercise. |
KLB BOOK 1 Pg. 162-5 |
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| 3 | 1 | Linear equations with two unknowns, -Elimination method. (whole numbers) |
By the end of the lesson learners should be able to: Solve equations with two unknowns using elimination method. |
Worked examples. Exercise. Problem solving. |
KLB BOOK 1 Pg. 165-7 |
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| 2, 3 | Linear equations with tow unknowns, -Elimination method. (fraction / mixed numbers) |
By the end of the lesson learners should be able to: Solve equations with two unknowns using elimination method. |
Review L.C.M equivalent fractions. Worked examples. Exercise. Problem solving |
KLB BOOK 1 Pg. 167-9 |
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| 4, 5 | Linear equations with two unknowns, -Elimination method. (Word problems) |
By the end of the lesson learners should be able to: Solve equations with two unknowns using elimination method |
Worked examples. Supervised practice. Exercise. |
KLB BOOK 1 Pg. 167 |
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| 6 | Linear equations with two unknowns, -Substitution method. (whole numbers / word equations) |
By the end of the lesson learners should be able to: Solve equations with two unknowns using substitution method |
Worked examples. Supervised practice. Exercise. |
KLB BOOK 1 Pg. 168-170 |
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| 4 | 1 | Linear equations with two unknowns -substitution method (fractions) |
By the end of the lesson learners should be able to: Solve equations with two unknowns using substitution method |
Problem solving Written exercises. |
KLB BOOK 1 Pg. 168-170 |
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| 2 | Linear equations with two unknowns -substitution method (decimals) |
By the end of the lesson learners should be able to: Solve decimal fractions with two unknowns using substitution method |
Worked examples. |
KLB BOOK 1 Pg. 168-170 |
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| 3, 4 | CO-ORDINATES & GRAPHS Co-ordinate plane. |
By the end of the lesson learners should be able to: Label co-ordinate axis, plane. Locate points in the C /plane given(x, y). |
Review the number line. Discussion. Oral exercise. |
Geo-boards Graph papers. |
KLB BOOK 1 Pg. 182-4 |
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| 5, 6 | Plotting a graph of a line | By the end of the lesson learners should be able to: Identify points that a line passes through. Plot corresponding graph. |
Review solving of equation lines. Discover several points that a line passes through. Supervised practice on plotting of graphs. |
Geo-boards Graph papers. |
KLB BOOK 1 Pg. 182-4 |
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| 5 | 1 | Further equation of lines. | By the end of the lesson learners should be able to: Plot graphs involving fractions and mixed fractions. Rewrite equations in the form of y = mx + c |
Worked examples. Review exercises. Supervised practice. |
Geo-boards Graph papers. |
KLB BOOK 1 Pg. 185-8 |
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| 2 | General graphs (whole numbers) |
By the end of the lesson learners should be able to: Plot graphs of a given set of data, by first choosing an appropriate scale. |
Worked examples. Review exercises. Supervised practice. |
Geo-boards Graph papers. |
KLB BOOK 1 Pg. 189-196 |
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| 3 | General graphs (decimal numbers |
By the end of the lesson learners should be able to: Plot graphs of a given set of data, by first choosing an appropriate scale. |
Worked examples. Review exercises. Supervised practice. |
Geo-boards Graph papers. |
KLB BOOK 1 Pg. 189-196 |
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| 4 | General graphs (positive and negative numbers) |
By the end of the lesson learners should be able to: Plot graphs of a given set of data, by first choosing an appropriate scale. |
Worked examples. Review exercises. Supervised practice. |
Graph papers. | KLB BOOK 1 Pg. 189-196 |
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| 5, 6 | General graphs (Curves / word problems) |
By the end of the lesson learners should be able to: Plot and sketch curves. Express word problems graphically. |
Worked examples. Review exercises. Supervised practice. |
Graph papers. | KLB BOOK 1 Pg. 189-196 |
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| 6 | 1 | Simultaneous equations. | By the end of the lesson learners should be able to: Solve simultaneous equations graphically |
Review graph of a line. Exercises. Further problem solving. |
Graph papers. | KLB BOOK 1 Pg. 188-9 |
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| 2 | Commercial Arithmetic Unit price and total price |
By the end of the lesson learners should be able to: Calculate cost of items given the unit price. |
Worked examples. Supervised practice. Review exercises. |
KLB BOOK 1 Pg. 171-2 |
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| 3 | Currency exchange | By the end of the lesson learners should be able to: Convert one currency to another given the exchange rates. |
Informal discussions: Importance of currency exchange. Worked examples. |
Newspapers: exchange rates. |
KLB BOOK 1 Pg. 172-5 |
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| 4 | Profit & loss | By the end of the lesson learners should be able to: Calculate (%) profit & loss |
Q/A: Definition of marked price, cost price. Problem solving. Exercises. |
KLB BOOK 1 Pg. 175-7 |
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| 5 | Commissions | By the end of the lesson learners should be able to: Solve problems related to commissions and sales. |
Q/A: Definition of commissions Problem solving |
KLB BOOK 1 Pg. 178-9 |
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| 6 | Discounts Word problems / miscellaneous exercise. |
By the end of the lesson learners should be able to: Solve problems related to sales and discounts. |
Q/A: Definition of marked price, cost price and % discount. Problem solving. Exercises. |
KLB BOOK 1 Pg. 177-8 |
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| 7 | 1 | ANGLES AND PLANE FIGURES Type of angles |
By the end of the lesson learners should be able to: List the types of angles and state angle complements / supplements. |
Worked examples. Supervised practice. Review exercises. |
KLB BOOK 1 Pg. 197-8 |
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| 2 | Angles on a straight line, adjacent angles. | By the end of the lesson learners should be able to: Identify values of the said angles. |
Oral practice. |
KLB BOOK 1 Pg. 199-200 |
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| 3 | Angles at a point. | By the end of the lesson learners should be able to: Determine values of angles at a point. |
Worked examples. Supervised practice. Review exercises. |
KLB BOOK 1 Pg. 201-6 |
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| 4 | Angles on a transversal. | By the end of the lesson learners should be able to: Determine values of angles at transversal. |
Oral practice. Supervised practice. Review exercises. |
KLB BOOK 1 Pg. 206-211 |
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| 5 | Polygons. | By the end of the lesson learners should be able to: Apply angle properties of triangles in problem solving. |
Solve problems Identify interior & exterior angles, deducing their sums. |
KLB BOOK 1 Pg. 218-2228 |
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| 6 | C. A. T. | ||||||
| 8 | 1 | GEOMETRICAL CONSTRUCTION Perpendicular lines. |
By the end of the lesson learners should be able to: Construct a line, perpendicular lines and a perpendicular bisector. |
Geometrical construction | Complete geometrical set. | KLB BOOK 1 Pg. 231-2 |
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| 2 | Bisecting an angle. | By the end of the lesson learners should be able to: Bisect an angle. |
Guided geometrical construction | Complete geometrical set. | KLB BOOK 1 Pg. 232-3 |
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| 3 | Constructing special angles using a ruler and a pair of compasses only. | By the end of the lesson learners should be able to: To construct various special angles using a ruler and a pair of compasses only. |
Guided geometrical construction. Supervised practice. |
Complete geometrical set. | KLB BOOK 1 Pg. 233-4 |
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| 4 | Constructing special angles using a ruler and a pair of compasses only. (contd.) |
By the end of the lesson learners should be able to: To construct various special angles using a ruler and a pair of compasses only. |
Guided geometrical construction. Supervised practice. Exercises. |
Complete geometrical set & BB set. | KLB BOOK 1 Pg. 233-4 |
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| 5 | Parallel lines. | By the end of the lesson learners should be able to: Construct two parallel lines |
Guided geometrical construction. Supervised practice. |
Complete geometrical set. | KLB BOOK 1 Pg. 235-6 |
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| 6 | Proportional division of a line. | By the end of the lesson learners should be able to: Divide a line proportionally. |
Guided geometrical construction. Supervised practice. |
Complete geometrical set. | KLB BOOK 1 Pg. 236-7 |
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| 9 | 1 | Regular polygons. | By the end of the lesson learners should be able to: Construct regular polygons and determine the sum of interior and exterior angles. |
Guided geometrical construction. Supervised practice. Exercises. |
Complete geometrical set. | KLB BOOK 1 Pg. 238-244 |
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| 2 | Irregular polygons. | By the end of the lesson learners should be able to: Construct irregular polygons and determine the sum of interior and exterior angles. |
Guided geometrical construction. Supervised practice. Exercises. |
Complete geometrical set. | KLB BOOK 1 Pg. 238-244 |
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| 3 | Further constructions. | By the end of the lesson learners should be able to: Construct triangles given two sides and an angle: three sides. |
Guided geometrical construction. Supervised practice. Exercises. Exercise review. |
Complete geometrical set. | KLB BOOK 1 Pg. 238-244 |
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| 4 | SCALE DARWING The scale. |
By the end of the lesson learners should be able to: Interpret statement scales and representative fractions. |
Simple exercise on scales. | Maps. | KLB BOOK 1 Pg. 248-9 |
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| 5 | Scale diagrams. | By the end of the lesson learners should be able to: Interpret scale diagrams. |
Discuss actual and represented lengths. Exercise. |
Maps. Diagrams drawn to scale. |
KLB BOOK 1 Pg. 249-250 |
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| 6 | Bearings. | By the end of the lesson learners should be able to: Determine the bearing of a point form a point. |
Discussion & exercise. | Maps. Protractor ruler. |
KLB BOOK 1 Pg. 251-2 |
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| 10 | 1 | True bearings. | By the end of the lesson learners should be able to: State the true bearing of a point from another point. |
Discussion & exercise Problem solving |
Maps. Protractor ruler. |
KLB BOOK 1 Pg. 252-6 |
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| 2 | True bearings. (Contd.) | By the end of the lesson learners should be able to: Solve problems on bearings. |
Problem solving. | Maps. Protractor ruler. |
KLB BOOK 1 Pg. 252-6 |
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| 3 | Angle of elevation. | By the end of the lesson learners should be able to: Define angle of elevation Solve problems related to angle of elevation. |
Expository approach: leading to the definition of angle of elevation Review SOH, CAH, TOA. Worked examples. Exercises. |
Protractor Clinometer. |
KLB BOOK 1 Pg. 256-262 |
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| 4 | Angle of depression. | By the end of the lesson learners should be able to: Solve problems related to angle of depression. |
Expository approach: leading to the definition of angle of depression. Worked examples. Exercises. |
Protractor Clinometer |
KLB BOOK 1 Pg. 256-262 |
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| 5 | Angle of elevation and depression. | By the end of the lesson learners should be able to: Solve problems related to angle of elevation and depression. |
Worked examples. Exercises. |
Protractor Clinometer |
KLB BOOK 1 Pg. 256-262 |
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| 6 | Triangulation. | By the end of the lesson learners should be able to: Define baseline, offsets Draw baseline, offsets on plot. |
Expository approach: leading to the definition of baseline, offsets Class experiments. Group work. |
Model of parcel of land on a cardboard. | KLB BOOK 1 Pg. 262-270 |
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| 11 | 1 | Triangulation.(Contd.) | By the end of the lesson learners should be able to: Calculate the area using triangulation method |
Problem solving. Exercise. |
Model of parcel of land on a cardboard. | KLB BOOK 1 Pg. 262-270 |
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| 2 | COMMON SOLIDS Common regular solids |
By the end of the lesson learners should be able to: Identify and sketch common solids. Count faces, edges and vertices of various poly-hydras. |
Q/A: Definition of a solid, examples of solids. Present solids, students count no. of faces, edges and vertices. |
Common solids. | KLB BOOK 1 Pg. 271-4 |
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| 3 | Isometric projection. | By the end of the lesson learners should be able to: Sketch a solid using isometric projection. |
Teacher exposes meaning of isometric projection, and then leads students in geometric construction. | Geometric set & BB set. | KLB BOOK 1 Pg. 275 |
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| 4, 5 | Nets of solids. | By the end of the lesson learners should be able to: Sketch accurately nets of solids. |
Teachers draws a net of a solid, then students draw nets of other solids; supervised practice. | Chart-nets of solids drawn. | KLB BOOK 1 Pg. 277-281 |
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| 5, 6 | Nets of solids. | By the end of the lesson learners should be able to: Make models of solids. |
Teacher makes a net of one solid, and students make nets of other solids. | Manilla papers Geometrical set. |
KLB BOOK 1 Pg. 277-281 |
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| 12,13 | END OF YEAR EXAMS | ||||||