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Thursday, 20 May 2021 13:40
KLB Form 3 Mathematics Schemes of Work Term 3 2020/2021
KLB Form 3 Mathematics Schemes of Work Term 3 2020/2021  
WK NO.  L/NO.  TOPIC/SUBTOPIC  LESSON OBJECTIVES  TEACHING/LEARNING ACTIVITIES  MATERIALS/RESOURCES  REFERENCES  REMARKS 
1  1  Direct variation.  By the end of the lesson, the learner should be able to: Evaluate expressions involving direct variation 
Probing questions Worked examples Oral exercises Written exercises 
KLB BK III Pg. 1947  
2  Inverse variation.  By the end of the lesson, the learner should be able to: Evaluate expressions involving inverse variations. 
Probing questions Drawing a graph showing inverse variation Worked examples Oral exercises Written exercises 
KLB BK III Pg.197201  
3, 4  Partial variation. 
By the end of the lesson, the learner should be able to: 
Exposition Worked examples Oral exercises Written exercises 
KLB BK III Pg.2014  
5  Formulating expressions on partial variation.  By the end of the lesson, the learner should be able to: Formulate expressions involving partial variations. Evaluate formulated expressions involving partial variations. 
Exposition Worked examples Oral exercises Written exercises 
KLB BK III Pg.2014  
6, 7  Joint variation  By the end of the lesson, the learner should be able to: Evaluate given expressions involving joint variations. 
Review direct and inverse variation. Worked examples Written exercises 
KLB BK III Pg.2045  
2  1  Further joint variation.  By the end of the lesson, the learner should be able to: Evaluate expressions involving joint variations and changing variables. 
Worked examples Written exercises Exercise review 
KLB BK III Pg.2056  
2  SEQUENCES AND SERIES Sequences. 
By the end of the lesson, the learner should be able to: Determine the n^{th} term in a sequence Deduce the rule used in the sequence. 
Guided discovery Oral exercises Written exercises 
KLB BK III Pg.2078  
3, 4  Arithmetic sequence.  By the end of the lesson, the learner should be able to: Identify an arithmetic sequence Find unknown terms in an arithmetic sequence. 
Guided discovery Oral exercises Written exercises 
KLB BK III Pg.20911  
5  Geometric sequence.  By the end of the lesson, the learner should be able to: Identify a geometric sequence Find unknown terms in a geometric sequence. 
Guided discovery Oral exercises Written exercises 
KLB BK III Pg.2114  
6, 7  Arithmetic progression.  By the end of the lesson, the learner should be able to: Find numbers of term in an A.P. Find the sum of given terms of an A.P. 
Exposition Supervised practice Written exercise 
KLB BK III Pg.21416  
3  1  Geometric progression.  By the end of the lesson, the learner should be able to: Find numbers of term in a G.P. Find the sum of given terms of a G.P. 
Guided discovery Oral exercises Written exercises 
KLB BK III Pg.216220  
2, 3  Arithmetic and geometric progressions.  By the end of the lesson, the learner should be able to: Work out expressions involving both arithmetic and geometric progressions. 
Worked examples Supervised practice Mixed exercise 
Past exam papers  KLB BK III Pg.216220  
4  VECTORS (II) Coordinates of a point in three dimensions. 
By the end of the lesson, the learner should be able to: State coordinates of a point in three dimensions. 
Q/A to review coordinates in two dimensions Exposition of Zaxis Oral exercise 
Wire mesh in three dimensions  KLB BK III Pg.2212  
5, 6  Column vectors.  By the end of the lesson, the learner should be able to: Find a column vectors given two points. 
Q/A to review column vector and position vectors in two dimensions. Worked examples Written exercise 
KLB BK III Pg.2236  
7  Column vectors in terms of unit vectors.  By the end of the lesson, the learner should be able to: Find a column vectors in terms of unit vectors. 
Q/A to review unit vectors in two dimensions. 
KLB BK III Pg.2268  
4  1, 2  Magnitude of a vector.  By the end of the lesson, the learner should be able to: Find the magnitude of a vector in three dimensions. 
Q/A to review magnitude of a vector in two dimensions Worked examples Oral exercise Written exercise 
KLB BK III Pg.229230  
3, 4  Parallel vectors.  By the end of the lesson, the learner should be able to: Identify parallel vectors. 
Worked examples Oral exercise Written exercise 
Geoboard  KLB BK III Pg.2312  
5, 6  Collinear points.  By the end of the lesson, the learner should be able to: Show that three points are collinear. 
Worked examples Oral exercise Written exercise 
Geoboard  KLB BK III Pg.2312  
7  Parallel vectors and collinear points.  By the end of the lesson, the learner should be able to: Evaluate parallel vectors and collinear points. 
Worked examples Oral exercise Written exercise 
Past exam papers  KLB BK III Pg.2337  
5  1, 2  Internal division of a line.  By the end of the lesson, the learner should be able to: Determine the ratio a point divides a segmented line. 
Oral exercise Written exercise 
KLB BK III Pg.2378  
3, 4  External division of a line.  By the end of the lesson, the learner should be able to: Determine the ratio an external point divides a segmented line. 
Oral exercise Written exercise 
KLB BK III Pg.2389  
5, 6  The ratio theorem.  By the end of the lesson, the learner should be able to: Apply the ratio theorem. 
Guided discovery Worked examples 
KLB BK III Pg.2408  
7  Using the ratio theorem.  By the end of the lesson, the learner should be able to: Apply the ratio theorem. 
Guided discovery Worked examples 
KLB BK III Pg.2408  
6  1  Vectors and geometry.  By the end of the lesson, the learner should be able to: Apply vectors in geometry. 
Worked examples Oral exercise Written exercise Exercise review 
KLB BK III Pg.249250  
2  BIONOMIAL EXPANSIONS. Pascal's triangle. 
By the end of the lesson, the learner should be able to: Use Pascal's triangle to determine coefficients of terms of a binomial expression. 
Q/A to review expansion of quadratic expressions Exposition of new concepts 
Mathematical tables  KLB BK III Pg.2568  
3  Binomial expressions.  By the end of the lesson, the learner should be able to: Expand binomial expressions. 
Worked examples Supervised practice Written exercise 
Mathematical tables  KLB BK III Pg.2568  
4  Further binomial expressions.  By the end of the lesson, the learner should be able to: Expand further binomial expressions. 
Worked examples Supervised practice Written exercise 
Mathematical tables  KLB BK III Pg.2589  
5  Application of binomial expressions  By the end of the lesson, the learner should be able to: Evaluate binomial expressions. 
Worked examples Supervised practice Compare results with a calculator Written exercise 
Mathematical tables Calculator 
KLB BK III Pg.2601  
6, 7  Further application of binomial expressions.  By the end of the lesson, the learner should be able to: Evaluate further binomial expressions. 
Worked examples Supervised practice Compare results with a calculator Written exercise Exercise review 
Mathematical tables Calculator 
KLB BK III Pg.2601  
7  1  PROBABILITY Experimental probability. 
By the end of the lesson, the learner should be able to: Define probability. Find experimental probability. 
Practical activities Guided discovery Simple problem solving 
KLB BK III Pg.2626  
2  Probability sample space.  By the end of the lesson, the learner should be able to: Define a probability sample space. Determine probability sample space. 
Exposition leading to discovery of sample space Simple problem solving 
KLB BK III Pg.266270  
3  Theoretical probability.  By the end of the lesson, the learner should be able to: Find theoretical probability form given situations. 
Worked examples Written exercise 
KLB BK III Pg.2702  
4, 5  Mutually excusive events.  By the end of the lesson, the learner should be able to: Identify mutually exclusive events. Determine the probability of mutually exclusive events. 
Exposition Worked examples Written exercise 
KLB BK III Pg.2724  
6, 7  C.A.T & MIDTERM BREAK  KLB BK III Pg.2746  
8  1  Independent events.  By the end of the lesson, the learner should be able to: Identify independent events. Determine probability of independent events. 
Exposition Worked examples Written exercise 

2  Mutually excusive and independent events.  By the end of the lesson, the learner should be able to: Determine the probability of both independent and mutually exclusive events. 
Worked examples Supervised practice Written exercise 
KLB BK III Pg.277282  
3  Further mutually excusive and independent events.  By the end of the lesson, the learner should be able to: Determine the probability of both independent and mutually exclusive events. 
Problem solving Exercises review 
KLB BK III Pg.277282  
4  Tree diagrams.  By the end of the lesson, the learner should be able to: Illustrate probability spaces with tree diagrams. 
Guided discovery Completing tree diagrams Worked examples Supervised practice Written exercise 
KLB BK III Pg.2827  
5, 6  Probability using tree diagrams.  By the end of the lesson, the learner should be able to: Use tree diagrams to work out probability. 
Guided discovery Worked examples Supervised practice Written exercise Exercise review 
KLB BK III Pg.2827  
7  Further tree diagrams.  By the end of the lesson, the learner should be able to: Use tree diagrams to work out probability. 
Guided discovery Worked examples Supervised practice Written exercise Exercise review 
KLB BK III Pg.2827  
9  1  COMPOUND PROPORTION AND RATE OF WORK Proportion. 
By the end of the lesson, the learner should be able to: Identify values that make continued proportional expressions. 
Probing questions Simple problem solving Oral exercise Written exercise 
KLB BK III Pg.288291  
2  Proportion parts.  By the end of the lesson, the learner should be able to: Divide a figure in given proportional parts. 
Worked examples Supervised practice Written exercise 
KLB BK III Pg.2913  
3  Rates of work.  By the end of the lesson, the learner should be able to: Evaluate sums on rates of work. 
Worked examples Supervised practice Written exercise Problem solving 
KLB BK III Pg.2948  
4  Mixtures.  By the end of the lesson, the learner should be able to: Work out numerical questions involving mixtures. 
Worked examples Supervised practice Written exercise Problem solving 
KLB BK III Pg.2958  
5  Rates of work and mixtures.  By the end of the lesson, the learner should be able to: Work out numerical questions involving rates of work and mixtures. 
Problem solving Exercise review 
KLB BK III Pg.2948  
6  GRAPHICAL METHODS. Tables of functions. 
By the end of the lesson, the learner should be able to: Complete tables of given functions. 
Completing tables  Calculator  KLB BK III Pg.299300  
7  Graphs of functions.  By the end of the lesson, the learner should be able to: Draw graphs of given functions. 
Completing tables Drawing graphs Reading off values from the graphs 
Calculator Graph books 
KLB BK III Pg.3001  
10  1  Cubic expressions.  By the end of the lesson, the learner should be able to: Identify cubic expressions. Draw graphs for cubic expressions. 
Completing tables Drawing graphs Reading off values from the graphs 
Calculator Graph books 
KLB BK III Pg.3001  
2  Solutions of cubic equations.  By the end of the lesson, the learner should be able to: Use graphs to find solutions of cubic equations. 
Completing tables Drawing graphs Reading off values from the graphs Solving equations 
Calculator Graph books 
KLB BK III Pg.3014  
3  Average rate of change.  By the end of the lesson, the learner should be able to: Determine average rate of change of a variable with another. 
Interpreting graphs Drawing graphs Worked examples Written exercise 
Graph books  KLB BK III Pg.3049  
4  Instantaneous rate of change.  By the end of the lesson, the learner should be able to: Determine rate of change of a variable at an instant. 
Interpreting graphs Worked examples Written exercise 
Graph books  KLB BK III Pg.30915  
5  Empirical graphs.  By the end of the lesson, the learner should be able to: Draw graphs from empirical situations. 
Drawing graphs Reading off values from the graphs 
Graph books  KLB BK III Pg.3158  
6, 7  Changing nonlinear laws to linear form.  By the end of the lesson, the learner should be able to: Change nonlinear laws to linear form. Complete tables for linear forms. 
Reduction of laws Completing tables Supervised practice 
Graph books  KLB BK III Pg.31825  
11  1  Nonlinear laws to linear form.  By the end of the lesson, the learner should be able to: Change nonlinear laws to linear form. Draw suitable graphs from the laws. 
Completing tables Drawing graphs Supervised practice Written exercise 
Graph books Calculator 
KLB BK III Pg.31825  
2  Equation of a circle, center origin.  By the end of the lesson, the learner should be able to: Find equation of a circle with the center as the origin. 
Guided discovery Worked examples Written exercise 
KLB BK III Pg.3256  
3  Equation of a circle, center (a, b)  By the end of the lesson, the learner should be able to: Find equation f a circle given center (a, b) 
Guided discovery Worked examples Supervised practice Written exercise 
KLB BK III Pg.3267  
4, 5  Equation of a circle, given its diameter.  By the end of the lesson, the learner should be able to: Find the equation of a circle given its diameter. 
Review midpoint of a vector Worked examples Supervised practice Written exercise 
KLB BK III Pg.3267  
6, 7  Center and radius of a circle.  By the end of the lesson, the learner should be able to: Determine center and radius of a circle from an equation. 
Review completing the square Worked examples Supervised practice Written exercise 
KLB BK III Pg.3289  
END OF YEAR EXAMS 
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Form 3 Term 3 Schemes of Work 2020/2021
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Wednesday, 19 May 2021 08:11
Integrated English New Edition Form 2 Schemes of Work Term 3 2020/2021
SCHEMEs OF WORK FORM TWO ENGLISH TERM THREE 2020/2021  
WK NO.  L/NO  TOPIC  SUBTOPIC  LESSON/SPECIFIC OBJECTIVES  TEACHING/LEARNING ACTIIVITES  MATERIALS/RESOURCES  REF.  REMARKS 
1  1  Listening and speaking  Intonation  Deduce the implications of words from the intonation of the speaker  Read a dialogue; Deduce implications of the words used by the speaker; Discussion.  INTEGRATED ENGLISH. NEW EDITION BK II  
2  Listening comprehension.  Rising and falling intonation.  Use rising and falling intonation in written and spoken work.  Reading; Listening; Oral examples. Written exercise.  PP 227228  
3,4  Writing  Business letter. Reply to a business letter.  Write a business letter using the correct format. Write a reply to a business letter  Q/A: review format of an informal letter. Discuss characteristics of a business letter. Assignments & their review.  An ideal business letter  PP 230232  
5,6  Grammar  Relative clauses (III): Defining and nondefining relative clauses.  Give examples of relative clauses. Identify defining and non defining relative clauses and use then in sentences correctly.  Exposition and examples of relative clauses. oral and written exercises.  Sample business letter.  PP 233235  
2  1,2  Reading  Reading comprehension.  Answer questions derived from a passage. Infer meanings of new words used in the passage.  Silent reading; Writing; Reading aloud; Listening; Answering questions  PP 236238  
3,4  Grammar  Vocabulary  Formulate a list of words from another word  Individual and group reflections. Intergroup competitions.  PP 238  
5,6  Grammar  The past perfect tense.  Write sentences in the past perfect tense. Rewrite sentences in the past perfect tense.  Q/A: review simple perfect tense. written exercise.  PP 239241  
3  1,2  Writing  Descriptive compositions.  Select the most suitable descriptive words to complete given sentences.  Probing questions and detailed discussions.  PP 241242  
3,4  Grammar  Past perfect continuous tense.  Rewrite sentences in past perfect continuous tense.  Q/A: review past perfect tense and simple perfect tense. Oral and written exercise.  PP 243244  
5,6  Reading  Reading comprehension.  Silent reading; Writing; Reading aloud; Listening; Answering questions.  Silent reading; Writing; Reading aloud; Listening; Answering questions. look up words in a dictionary; Construct sentences using new words.  PP 254246  
4  1,2  Functional writing.  Descriptive composition(II)  Read the description of a given person and complete the task given.  Individual and group work; Reading; Writing.  Newspapers/ newspaper cuttings.  PP 247  
3,4  Writing.  Summary writing (II)  Carry out an effective summary writing observing all necessary rules.  Teacher exposes summary writing rules. Supervised practice, Listening; Writing.  PP 248249  
5,6  Listening and speaking.  Word play  Write down expressions as read out by the teacher. Rewrite sentences in other versions as instructed.  Teacher reads some expressions as students write them down. Correct the written exercise.  PP 250251  
5  1,2  Writing.  Imaginative Essays.  Identify factors to consider when writing an essay. Write an essay based on the laid down rules.  Expository and descriptive approaches. Essay writing.  PP 251253  
3,4  Grammar.  Modal Auxiliaries (I).  Identify the nine single word modal auxiliaries. use singleword modals correctly  Exposition, discussion and written exercise  Chart; The nine single word modal auxiliaries.  PP 254258  
5,6  Listening and speaking.  Interviews.  Describe two broad categories of interviews. Outline features of a journalistic interview  Exposition. Read an interview. Simulate an interview. Group work: Observe positive attributes of a good interviewer and interviewee.  PP 258260  
6  1,2  Reading  Reading comprehension.  Silent reading; Writing; Reading aloud; Listening; Answering questions.  Silent reading; Writing; Reading aloud; Listening; Answering questions. Look up words in a dictionary.  PP 261263  
3  Creative writing  Creative writing  Develop creative writing skills.  Written exercise to practice creative writing.  PP 263  
4  TEST  
5 6  Grammar  Modal auxiliaries (II). must, has to, have to. Had better, should, ought to.  Express necessity using the modal auxiliaries. Express advice using the words had better, should and ought to.  Exposition; Examples of statements and questions involving modal auxiliaries. Listening; Writing.  PP 263266  
7  1,2  Grammar.  Vocabulary.  Construct a word scale to enrich vocabulary.  Group discussion & group presentations.  PP 266267  
3,4  Grammar.  Adverbial clauses of time, place and manner (I).  Identify adverbial clauses of time, space and manner.  Q/A: review adverbs and categories of adverbs. Discussion: adverbial clauses. Oral exercise. Mixed exercise.  PP 267270  
5,6  Reading.  Reading comprehension.  Read a passage and answer questions derived from it in complete sentences. Infer meaning of words as used in the passage  Silent reading; Writing; Reading aloud; Listening; Answering questions. Look up words in a dictionary; Construct sentences using new words.  PP 271  
8  1,2  Poetry.  Poetry presentation.  Recite a poem in the right pace and tone.  Group work: reading poems, preparing to recite the poems and reciting them.  Supplementary references.  PP 272274  
3, 4  Grammar.  Adverbial clauses (II) Adverbial clauses of reason, purpose and comparison.  Identify adverbial clauses of reason, purpose and comparison.  Exposition; Listening; Writing  PP274276  
5,6  Writing  Summary writing (III).  Read a passage and summarize it as instructed.  Guided exercise & review of the exercise; Listening; Writing.  PP 276277  
9  1, 2  Reading. 
Reading comprehension. read a passage and answer questions derived from it in complete sentences. 
Read a passage and answer questions derived from it in complete sentences. Infer meaning of words as used in the passage.  Silent reading; Writing; Reading aloud; Listening; Answering questions. Look up words in a dictionary; Construct sentences using new words.  PP 278280  
3  Grammar  Adverbial clauses of result, concession and conditions.  Identify adverbial clauses of result, concession and conditions. Join sentences using adverbial clauses of result, concession and conditions.  Exposition and explanations. Written sentences; Exercise review  PP 281282  
4  Creative Writing  Filling in forms  Fill in information required in forms.  Handson practice; Filling in forms.  Application forms; bursary/job application forms.  PP 283284  
5  Grammar  The active voice.  Identify the subject and direct object in given sentences. Rewrite sentences in the active voice.  Listening, speaking and writing.  PP 285286  
6  Grammar  The passive voice  Change sentences from active to passive voice and viceversa.  Questioning to review active voice; Oral and written exercise.  PP 287288  
10  12  Oral literature  Drama  Answer questions based upon an extract 
Reading an extract; Oral and written exercises. Discussion on the exercises. 
PP 289292  
3,4  Oral literature 
Characterization

Identify the character traits of characters in a play/ drama. Compare and contrast these characters.  Discussion on character traits and corresponding textual evidence. Q/A: similarities and differences in character traits; Writing.  PP 293294  
5,6  Oral literature  Themes  Discuss themes postulated in a given text. Identify textual evidence to support a given theme. 
Detailed discussion. Cite evidence for specific themes. Writing. 
PP 295296  
11  12  Oral literature  Drama  Answer questions based upon an extract  Reading an extract; Oral and written exercises. Discussion on the exercises.  PP 289292  
3,4  Oral literature  Characterization  Identify the character traits of characters in a play/ drama. Compare and contrast these characters.  Discussion on character traits and corresponding textual evidence. Q/A: similarities and differences in character traits; Writing.  PP 293294  
5,6  Oral literature  Themes  Discuss themes postulated in a given text. Identify textual evidence to support a given theme. 
Detailed discussion. Cite evidence for specific themes. Writing. 
PP 295296  
1213  SUMMATIVE ASSESSMENT TEST 
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Schemes of Work Form 2 2020/2021
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