| SCHEME OF WORK FORM TWO MATHEMATICS TERM THREE YEAR 2020/2021 | |||||||
| WK/ NO. | L/NO. | TOPIC/ SUBTOPIC | LESSON/SPECIFIC OBJECTIVES | TEACHING/LEARNING ACTIVITIES | MATERIALS/ RESOURCES | REFERENCES | REMARKS |
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1
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1
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INEQUALITIES Compound inequalities. |
The learner should be able to: Illustrate compound inequalities on a number line |
Give examples of compound statements and illustrate them on a number line. Oral exercise; Written exercise. |
Geo-board. Graph papers. |
KLB BK II Pgs. 217-8 |
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| 2 |
Simultaneous inequalities. |
Solve simultaneous inequalities and determine the integral values in the requires region |
Q/A: Solve each inequality at a time, hence find the common solution/ integral values. Supervised practice. Exercise. |
Geo-board. Graph papers. |
KLB BK II Pgs. 217-8 |
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| 3 | Graphs of simple inequalities | Represent inequalities graphically. |
Q/A: Review equations of lines and their graphical representation Examples & Exercise. |
Illustrative charts. |
KLB BK II Pgs. 219-223 |
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| 4 | Inequality from a given graph. | Find the inequality represented by a graph. |
Worked examples; Exercise and review |
KLB BK II Pgs. 219-223 |
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| 5 | Graphs of compound inequalities. | Represent compound inequality statements graphically |
Review simple statements, represent them graphically and obtain the required region; Worked examples; Written exercise; Exercise review. |
Geo-board Graph papers.
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KLB BK II Pgs. 224-228 |
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| 6 | Inequality statement from graphs. | Determine the statements that are represented graphically. |
Worked examples. Supervised practice. Exercise. Problem solving |
Graph papers |
KLB BK II Pgs. 224-228 |
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| 2 | 1 |
LINEAR MOTION Parameters of motion |
Define speed, velocity, distance, displacement and acceleration. Calculate parameters of motion | Q/A: definitions of terms. Deduce formulae of definitions. Worked examples. Exercise. |
Geo-board Graph papers. |
KLB BK II Pgs. 228-230 | |
| 2 | Velocity and acceleration | Calculate velocity and acceleration motions | Probing questions. Worked examples; Exercise. | Graph Papers | KLB BK II Pgs. 230-1 | ||
| 3 | Distance time graphs. | Plot and interpret distance time graphs. | Probing questions. Worked examples; Exercise. | Graph Papers |
KLB BK II Pgs. 224-228 |
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| 4 | Velocity time graphs. |
Plot and interpret velocity time graphs. Make inferences from graphs. |
Worked examples. Oral exercise; Written exercise; Exercise review. |
Geo-board Graph papers. |
KLB BK II Pgs. 224-228 |
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| 5 | Approaching bodies | Solve problems on relative speed of approaching bodies. | Worked examples. Exercise. | KLB BK II Pgs. 238 - 240 | |||
| 6 | Overtaking bodies | Solve problems on relative speed of overtaking bodies. | Worked examples. Oral exercise; Written exercise; Exercise review. | KLB BK II Pgs. 238 - 240 | |||
| 3 | 1 | Bodies moving in opposite directions. | Solve problems on relative speed of bodies moving in opposite directions. | Worked examples. Oral exercise; Written exercise; Exercise review. | KLB BK II Pgs. 238 - 240 | ||
| 2 | STATISTICS Frequency distribution table. |
Define statistics. Explain importance of statistics. Draw a frequency distribution table. | Q/A: Given examples of data that need to be organized to give information. Discuss importance of statistics. Activity; Shoe size- no of students table. Tabulation of results. | Statistical data from real life situations e.g. HIV/AIDS figures. | KLB BK II Pgs. 241-2 | ||
| 3 | Mean | Define statistical mean of a set of data. Find median of a given set of data. | Worked examples; Supervised practice. Exercise | KBL BK II Pgs. 243- 4 | |||
| 4 | Mode and Median | Define mode and median of a set data. Find median of a given set of data. | Arranging data in ascending order and finding the median. Exercise. | KLB BK II Pgs. 244-5 | |||
| 5 | Median | Find median of a given set of data. | Arranging data in ascending order and finding the median. Exercise. | KLB BK II Pgs. 244-7 | |||
| 6 | Classes of data. | Define class and class range. Group data into reasonable classes. | Group activity - Involve students in identifying suitable class range, and grouping the data. | KLB BK II Pgs. 244-7 | |||
| 4 | 1 | Mean of grouped data. | Find mean of grouped data. | Examples; Problem solving | KBL BK II Pgs. 247-252 | ||
| 2 | Median of grouped data. | Find median of grouped data. | Worked examples. Exercise | KBL BK II Pgs. 247-252 | |||
| 3 | Problems on grouped data. | Solve problems on grouped data. | Problem solving. | KBL BK II Pgs. 247-252 | |||
| 4 | Bar graphs | Represent information in form of bar graphs. | Examples; Written exercise and review. | Charts | KLB BK II Pgs. 252-3 | ||
| 5 | Interpreting bar graphs | Interpret information represented with bar graphs | Examples; Written exercise and review. | ||||
| 6 | Pictograms | Deduce information represented with pictures. Represent information in a pictogram. | Oral exercise. | Charts |
KLB BK II Pgs. 253-
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| 5 | 1 | Pie-charts | Represent comparative information in form of pie charts | Q/A: Supervised exercise. Written exercise. | Pie-charts | KLB BK II Pgs. 254-5 | |
| 2 | Interpreting pie-charts. | Deduce information represented within. | Q/A: Supervised exercise. Written exercise. | Pie-charts | KLB BK II Pgs. 254-5 | ||
| 3 | Line graphs. | Draw line graphs. | Guided activity; Supervised exercise. | ||||
| 4 | Line graphs. | Interpret line graphs | Discussion; Assignment | Graph papers | KLB Bk II Pgs. 255-6 | ||
| 5 | Histograms | Represent information in a histogram. | Q/A Identify class boundaries of the entries. Draw the histogram of given data. | Graph papers. | KLB BK II Pgs. 256-8 | ||
| 6 | Histograms | Interpret histograms | Discover effect of doubling class size on the frequency. Exercise | Graph papers | KLB BK II Pgs. 258-9 | ||
| 6 | 1 | Frequency polygons. | Interpret frequency polygons. | Identify mid points of classes. Join the tops of the bars of a histogram; Written exercise. | Graph papers | KLB BK II Pgs. 258-9 | |
| 2 | ANGLE PROPERTIES OF A CIRCLE Parts of a circle. Angle subtended by diameter on the circumference. |
Identify an arc, chord, segments of a circle. Deduce angle subtended by diameter on the circumference. |
Q/A discussion; Measure angle subtended by diameter on the circumference. | Geometrical set | KLB BK II Pgs. 264-6 | ||
| 3 | Angle subtended by a chord on the circumference and at circle center. | Deduce relation between angle subtended by a chord on the circumference and a circle center. | Geometrical construction; Discuss inferences. Written exercise. | Geometrical set | KLB BK II Pgs. 266-8 | ||
| 4 | Angles in the same segment. | Deduce that angles in the same segment subtended by same chord are equal. | Geometrical construction; Discuss inferences. Written exercise. | Geometrical set | KLB BK II Pgs. 273-7 | ||
| 5 | Angles in different segments. | Deduce properties for angles in different segments subtended by same chord. | Geometrical construction; Discuss inferences. Written exercise. | Geometrical set. | KLB BK II Pgs. 273-7 | ||
| 6 | Cyclic quadrilaterals | Infer angle of properties of cyclic quadrilaterals. | Geometrical construction; Make inferences. Written exercise. Exercise review. | Geometrical set. | KLB BK II Pgs. 278-9 | ||
| 7 | 1 | Further cyclic quadrilaterals. | Apply angle properties of cyclic quadrilaterals in problem solving. | Worked examples; Written examples; Exercise review. | Geometrical set. |
KLB BK II Pgs. 279-283 |
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| 2 |
VECTORS Definition of a vector. Definition of a scalar. |
Define a vector. Define a scalar. Identify vector notation | Discussion: quantities that have both size and direction. Exposition: vector definition and notation | KLB BK II Pgs. 284-5 | |||
| 3 | Equivalent vectors. | Define magnitude of a vector. Identify equivalent vectors. Represent equivalent vectors diagrammatically | From a wire cube, students identify equivalent vectors and those that are not equivalent. Oral exercise. | Wire cube | KLB BK II Pgs. 285-6 | ||
| 4 | Addition of vectors |
Define displacement. Identify initial and final points. Add two vectors. Add two vectors with directions reversed. |
Worked examples; Oral exercise. | Graph papers. Square boards. Geometrical instruments. | KLB BK II Pgs. 286-9 | ||
| 5,6 | C.A.T & MID-TERM BREAK | ||||||
| 8 | 1 | Product of positive scalar and a vector | Obtain Product of positive scalar and a vector | Illustrative examples; Oral exercise | Graph papers. Square boards. Geometrical instruments. | KLB BK II Pgs. 286-9 | |
| 2 | Negative scalar multiplication of a vector. | Define a zero vector. Multiply a vector by a negative scalar | Q/A: Review equivalent vectors. Illustrative examples. Oral exercise. examples and exercise. | Graph papers. Square boards. Geometrical instruments. | KLB BK II Pgs. 289-290 | ||
| 3 | Fractional scalars. | Multiply a vector by a positive or negative fraction. | Review multiplication of a vector by a positive scalar. Deduce magnitude and direction of the new vector. Work out examples. | Illustrative chart | KLB BK II Pg. 290 Pg. 291 | ||
| 4 | Column vectors | Represent vectors as column vectors. | Examples. Exercise | Square board Square papers | KLB BK II Pgs. 290-1 | ||
| 5 | Sum of two column vectors | Find the vector sum of two vectors in column form. | Q/A review displacement; Discuss vertical and horizontal displacement of a vector; leading to definition of a column vector; Oral exercise; Written exercise. | Square grid/ illustrative chart. | KLB BK II Pgs. 296-8 | ||
| 6 | Sum of several column vectors | Find vector sum of several vectors | Add up vectors diagrammatically. Examples. Exercise. | KLB BK II Pgs. 296-8 | |||
| 9 | 1 | The position vector. | Define a position vector. Adding two position vectors. | Problem solving | KLB BK II Pgs. 296-8 | ||
| 2 | Adding position vectors. | Add several position vectors | Q/A: Review vector addition. exposition: Definition of position vector. Examples; Supervised practice | Square board Square papers |
KLB BK II Pgs. 298-9 |
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| 3 | Vector magnitude. | Find the magnitude of a vector with positive displacement. | Problem solving; Exercise review. | KLB BK II Pgs. 299-301 | |||
| 4 | Vector magnitude. | Find the magnitude of a vector with negative displacement. | Q/A review horizontal and vertical displacement of a vector. Deduce magnitude of a vector. Examples; Exercise. | Square board Square papers | KLB BK II Pgs. 301-2 | ||
| 5 | Midpoint of a vector | Find the co-ordinates of midpoint of a vector. | Examples, Written exercises; Exercise review. | Square board Square papers | KLB BK II Pgs. 301-2 | ||
| 6 | Co-ordinates of points on a vector | Find the co-ordinates of a point on a vector. | Examples, Written exercises; Exercise review. | Square board Square papers | KLB BK II Pgs. 302-3 | ||
| 10 | 1 | Translation matrix, T. | Define a translation matrix. Identify translation matrices. | Guided discovery; Oral exercise | |||
| 2 | Translation of a point | Illustrate a translation of a vector. Obtain the image of a point under a translation vector T |
Q/A: Dividing a vector in a given ratio. Worked examples. exercise |
Geo-board graph papers | KLB BK II Pgs. 302-3 | ||
| 3 | Translation of a figure | Obtain the image of a figure under a translation vector T | Use a practical situation to introduce a translation. Worked examples. Exercise | Geo-board graph papers | KLB BK II Pgs. 304-6 | ||
| 4 | Translation | Obtain the object given the image and the translation matrix. | Worked examples. Exercise. Problem solving. | Geo-board graph papers | KLB BK II Pgs. 304-6 | ||
| 5,6 | Problem solving on translations | Solve problems involving translation matrices. | |||||
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MIXED EXERCISES | ||||||
| 12,13 | END OF TERM THREE EXAMINATIONS | ||||||
KLB Form 2 Mathematics Schemes of Work Term 3 2020/2021
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Form 3 Term 3 Schemes of Work 2020/2021
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