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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/SUB-TOPIC	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. 194-7
	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.197-201
	3, 4	Partial variation.	By the end of the lesson, the learner should be able to: Evaluate given expressions involving partial variations.	Exposition Worked examples Oral exercises Written exercises		KLB BK III Pg.201-4
	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.201-4
	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.204-5
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.205-6
	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.207-8
	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.209-11
	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.211-4
	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.214-16
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.216-220
	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.216-220
	4	VECTORS (II) Co-ordinates of a point in three dimensions.	By the end of the lesson, the learner should be able to: State co-ordinates of a point in three dimensions.	Q/A to review co-ordinates in two dimensions Exposition of Z-axis Oral exercise	Wire mesh in three dimensions	KLB BK III Pg.221-2
	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.223-6
	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. Worked examples Oral exercise Written exercise		KLB BK III Pg.226-8
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.229-230
	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.231-2
	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.231-2
	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.233-7
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.237-8
	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.238-9
	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.240-8
	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.240-8
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.249-250
	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.256-8
	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.256-8
	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.258-9
	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.260-1
	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.260-1
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.262-6
	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.266-270
	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.270-2
	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.272-4
	6, 7	C.A.T & MID-TERM BREAK				KLB BK III Pg.274-6
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.277-282
	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.277-282
	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.282-7
	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.282-7
	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.282-7
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.288-291
	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.291-3
	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.294-8
	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.295-8
	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.294-8
	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.299-300
	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.300-1
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.300-1
	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.301-4
	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.304-9
	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.309-15
	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.315-8
	6, 7	Changing non-linear laws to linear form.	By the end of the lesson, the learner should be able to: Change non-linear laws to linear form. Complete tables for linear forms.	Reduction of laws Completing tables Supervised practice	Graph books	KLB BK III Pg.318-25
11	1	Non-linear laws to linear form.	By the end of the lesson, the learner should be able to: Change non-linear 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.318-25
	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.325-6
	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.326-7
	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 mid-point of a vector Worked examples Supervised practice Written exercise		KLB BK III Pg.326-7
	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.328-9
	END OF YEAR EXAMS

Published in Form 3 Term 3 Schemes of Work 2020/2021

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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 227-228
	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 230-232
	5,6	Grammar	Relative clauses (III): Defining and non-defining 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 233-235
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 236-238
	3,4	Grammar	Vocabulary	Formulate a list of words from another word	Individual and group reflections. Inter-group 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 239-241
3	1,2	Writing	Descriptive compositions.	Select the most suitable descriptive words to complete given sentences.	Probing questions and detailed discussions.		PP 241-242
	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 243-244
	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 254-246
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 248-249
	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 250-251
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 251-253
	3,4	Grammar.	Modal Auxiliaries (I).	Identify the nine single word modal auxiliaries. use single-word modals correctly	Exposition, discussion and written exercise	Chart; The nine single word modal auxiliaries.	PP 254-258
	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 258-260
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 261-263
	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 263-266
7	1,2	Grammar.	Vocabulary.	Construct a word scale to enrich vocabulary.	Group discussion & group presentations.		PP 266-267
	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 267-270
	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 272-274
	3, 4	Grammar.	Adverbial clauses (II) Adverbial clauses of reason, purpose and comparison.	Identify adverbial clauses of reason, purpose and comparison.	Exposition; Listening; Writing		PP274-276
	5,6	Writing	Summary writing (III).	Read a passage and summarize it as instructed.	Guided exercise & review of the exercise; Listening; Writing.		PP 276-277
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 278-280
	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 281-282
	4	Creative Writing	Filling in forms	Fill in information required in forms.	Hands-on practice; Filling in forms.	Application forms; bursary/job application forms.	PP 283-284
	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 285-286
	6	Grammar	The passive voice	Change sentences from active to passive voice and vice-versa.	Questioning to review active voice; Oral and written exercise.		PP 287-288
10	1-2	Oral literature	Drama	Answer questions based upon an extract	Reading an extract; Oral and written exercises. Discussion on the exercises.		PP 289-292
	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 293-294
	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 295-296
11	1-2	Oral literature	Drama	Answer questions based upon an extract	Reading an extract; Oral and written exercises. Discussion on the exercises.		PP 289-292
	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 293-294
	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 295-296
12-13	SUMMATIVE ASSESSMENT TEST

Published in Schemes of Work Form 2 2020/2021

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