Schemes of Work for Junior Secondary Schools (JSS Three). Lagos State JSS3 Mathematics Scheme of work (AGE 14 ) – schemeofwork.com
Mathematics Scheme of Work JSS3 First Term
WEEK: 1
Subject: MATHEMATICS
TOPIC/CONTENT: Revision Questions and Answers on previous classes
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
i. recall previous lesson on some identified topics
ii. Solve problems on previous lessons for effective new lessons
LEARNING ACTIVITIES: Students’ interest on previous lessons, paying attention on weak areas.
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
i. Previous examination question papers;
ii. Revision question from recommended textbook(s)
WEEK: 2
Subject: MATHEMATICS
TOPIC/CONTENT:
Whole numbers:
Binary number system:
a. using computer to do simple mathematical calculations;
b. addition and subtraction of numbers in base 2
c. multiplication and division of numbers in base 2, 2-digit and 3-digit binary numbers.
Importance:
-Athletics
-Games
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
-Apply basic arithmetic operations (+,-,x,÷) in binary system;
-Convert numbers in binary from one base to another
LEARNING ACTIVITIES:
-Students give accounts of mathematical instruments in mathematical set by clarification;
-Students in small groups build and calculate patterns of operation in problem solving. Example:
101x = 10, calculate x
Q/R
3! = 3 x 2 x 1
4! = 4 x 3 x 2 x 1
∴ 4! – 3! =
If 3! x n = 3, n =
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
i. Simple calculating devices (calculator)
ii. Simple number cards on binary operation;
iii. Binary numbers
iv. Calculating devices
Site Links:
www.cimt.org.uk
www.basic-mathematics.com
Video Links:
WEEK: 3
Subject: MATHEMATICS
TOPIC/CONTENT:
a. Expressions involving brackets and fractions
b. Translation of word problems into numerical expressions
Importance:
– Budgeting
– Marketing and Sales
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
i. Simplify expressions involving brackets
ii. Simplify expressions involving fractions
iii. Translate word problems into numerical expression
LEARNING ACTIVITIES:
i. Students give account of items on the mathematics shelf: stationery, books, shapes, etc.
ii. Students give account of what they spent on items while coming to school
iii. Number of students cleaning the class and time spent on cleaning.
Quantitative Reasoning
Given:
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
i. Charts with expressions in like terms
ii. Cards with fraction gummed on a large cardboard
iii. Soft fruits for division into fraction
Site Links:
www.algebra-class.com
www.mathexpression.com
Video Links:
WEEK: 4
Subject: MATHEMATICS
TOPIC/CONTENT:
Proportion:
a. direct and indirect/inverse proportion;
b. application of direct and indirect/inverse proportion
Importance:
i. Survey
ii. Planning
LEARNING OBJECTIVES: By the end of the lesson, students should be able to:
i. state what a direct proportion is;
ii. State what an indirect or inverse proportion is;
iii. Solve problems on direct and inverse proportion
iv. Apply direct and indirect proportion in daily life activities
LEARNING ACTIVITIES:
i. Students draw roster of activities in the class and number of students involved in each
ii. Students state the number of pencils bought with price per pencil
Quantities Reasoning
i.
ii.
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
i. Some baskets and a number of inflated footballs
ii. Weighing balance and a number of small beads
iii. Calculating devices
Site Links:
www.mathsisfun.com
www.tutor2u.net
Video Links:
WEEK: 5
Subject: MATHEMATICS
TOPIC/CONTENT:
Rational and non-rational numbers.
Variations:-
a. Direct
b. Indirect/inverse
c. Joint
d. Partial
Importance:
-Commerce
-Manufacturing companies
-Transportation
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
-identify and state rational and non-rational numbers, like 2⁄5 and √2
-solve problems involving;
– Direct and indirect variations
-joint and partial variations
LEARNING ACTIVITIES:
Students in small groups perform some operations like:
100 ÷3
22 ÷7
√2
2⁄5
a. If a boy takes ₦60 for 2 pens, how much will he take for 5 pens?
b. if two boys clean a classroom in 2 hours, how long will it take one boy?
Quantitative Reasoning.
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
i. A tape measure
ii. Elastic string
iii. A cylindrical object with one side open
iv. Calculating devices
Site Links:
www.siyavula.com
www.mathwarehouse.com
Video Links:
WEEK: 6
Subject: MATHEMATICS
TOPIC/CONTENT:
Factorization: –
Factorization of expressions of the form
a+ay
3m+pq+3p-mp
a^2- b^2
a^2- 2a^2+ b^2
World problems involving factorization
Importance:
-Technology
-Building construction
-Marketing and sales
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
i. Factorize simple algebraic expressions;
ii. Factorize quadratic expression;
iii. Solve real life problems on factorization
LEARNING ACTIVITIES:
Number of flats in an estate and the community gate leading to them; identify the ones with common color paints and some with common roofing sheets.
Quantitative Reasoning.
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
i. Quadratic equation box cards;
ii. Flash cards on word problem
iii. Common objects in different
colours
Site Links:
www.shelovesmath.com
www.math-only-math.com
Video Links:
WEEK: 7
Subject: MATHEMATICS
TOPIC/CONTENT: Revision of first half term’s work
Importance:
An appraisal of student’s ability-strengths and weakness
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
i. recap previous lesson and partake in the period test
LEARNING ACTIVITIES:
-Students solve problems in small groups.
-Student write test independently
Quantitative Reasoning.
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
Project:
i. a weighing balance
ii. Exercise from recommended texts and past question
WEEK: 8
Subject: MATHEMATICS
TOPIC/CONTENT:
Linear equations
a. Simple linear equations
b. Equations involving fractions
c. World problems on simple linear equations involving fractions
Importance:
-Shares and Dividends
-Business transactions
-Farming
-Agriculture
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
i. Solve simple linear equations;
ii. Solve linear equations involving fractions
iii. Real life problems on linear equations
LEARNING ACTIVITIES:
Students in groups translate and solve:
i. Half an amount of money added to ₦1 gives ₦9. How much is the original money?
ii. Half a certain sum of money added to two-third of the money gives 18. What is the original value?
Quantitative Reasoning.
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
i. Flash cards with simple equation involving fraction
ii. Some oranges or limes
iii. Exercises from recommended textbooks
iv. Past BECE questions
Site Links:
Video Links:
WEEK: 9
Subject: MATHEMATICS
TOPIC/CONTENT:
Change of subjects of formulas (+,-,x,÷,√,↑)
Importance:
-Leadership
-Policies making
-Sports
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
i. Express one unknown in terms of others;
ii. Manipulate formulae using operations: addition, subtraction, multiplication, division, root and power of numbers
LEARNING ACTIVITIES:
-Students in groups share colored pencils and give different colored pencils to each of the group leaders.
-Students exchange, do placement and reshufflement of pencils among themselves to learn change of subject of formula.
Q.R
Given:
Solve:
CORE SKILLS:
i. Leadership and personal development;
Digital literacy
LEARNING RESOURCES:
i. Algebraic cards with different colors, rashes and arrangement
ii. Charts of some internal equation
iii. Exercises from recommended textbooks
iv. Past BECE questions
Site Links:
www.open.edu
www.transum.org
Video Links:
WEEK: 10
Subject: MATHEMATICS
TOPIC/CONTENT:
Compound Interest
a. Revision of simple interest
b. Compound interest
Importance:
-Trade and Commerce
– Accounting
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
i. recap previous lessons on simple interest
ii. Solve problems on compound interest:
iii. Apply compound interest in real life situations
LEARNING ACTIVITIES:
1.) Students do a role play on daily petty business whereby a trader applies for a simple loan from a money lender with 2_2^1% compound interest per month for 6 months.
2.) Students in groups calculate the compound interest on the loan for 6 months.
Quantitative Reasoning.
Find
CORE SKILLS:
-Critical thinking and Problem solving
-Leadership and Personal development
-Communication and Collaboration
-Creativity and Imagination
LEARNING RESOURCES:
i. Currency in different denominations
ii. Sample cards of savings and daily contributions
iii. Exercises from recommended textbooks;
Site Links:
www.mathgoodies.com
www.hitbullseye.com
Video Links:
WEEK: 11
Subject: MATHEMATICS
TOPIC/CONTENT: Revision of second half term lessons and period test
LEARNING OBJECTIVES:
By the end of the lesson, students will be able to:
i. Revise and recap the second term’s lesson
ii. Answer the periodic test questions correctly
LEARNING ACTIVITIES:
i. students practice in groups and treat some past questions
ii. Students attempt the test questions correctly.
CORE SKILLS:
LEARNING RESOURCES:
i. past examination question
ii. BECE past question
WEEK: 12
Subject: MATHEMATICS
TOPIC/CONTENT: First Term Examination and vacation
LEARNING OBJECTIVES: Students should be able to attempt examination questions correctly
LEARNING ACTIVITIES: Students attempt the questions.
CORE SKILLS:
LEARNING RESOURCES: Answer script and writing materials
WEEK: 13
Subject: MATHEMATICS
TOPIC/CONTENT: Examinations
LEARNING OBJECTIVES: Examinations
LEARNING ACTIVITIES: Examinations
CORE SKILLS: Examinations
LEARNING RESOURCES: Examinations
Schemes of Work for Junior Secondary Schools (JSS Three). Lagos State JSS3 Mathematics Scheme of work (AGE 14 ) – schemeofwork.com
Mathematics Scheme of Work JSS3 Second Term
| WKS | TOPICS | LEARNING OBJECTIVES | LEARNING ACTIVITIES |
| 1 | Revision questions and answers on previous lesson | By the end of the lesson, students should be able to: Recap previous lessons Answer resumption test questions correctly | Students in groups pick questions from the last examination to work on quantitative reasoning 23 < 15 35 >16 24> 20 |
| 2. | Simultaneous linear question by Elimination method Substitution method Real life problems on simultaneous linear equation Importance Budgeting Medical laboratories Accounting Sales and marketing Manufacturing industries | By the end of the lesson, students should be able to: Solve simultaneous equation by Elimination and Substitution method Solve real life problems on simultaneous linear equations | Students in groups interact and solve this question The cost of 2 pencils and 3 rulers is N300 in January, but in February pencils and 3 rulers cost N350. Find the cost of a ruler and pencil during this period Quantitative Reasoning Complete this |
| 3 | graphical method of simultaneous linear equationsApplication to real life situation Importance Accounting Sales and marketing Manufacturing industries Engineering | By the end of the lesson, students should be able to: Solve graphically simultaneous linear equationApply simultaneous linear equation to real life problems | Students in small groups solve simultaneous equation on two different paints in quality and price, for instance, 2 tins of blue emulsion and 3 times of gloss cost N3,500 for grade A, while 3 tins of gloss for grade B cost N4,000 averagely, what is the cost of one emulsion and one gloss irrespective of grade? = |
| 4 | Geometry Similar shapes Identification of plane shapesEnlargement and scale factors: enlarge and reduce figures using scales factors Importance Surveying and geoformatics Engineering Sports | By the end of the lesson, students should be able to: Identify similar figures in the triangles, rectangles, squares, cuboid, cube Similar figures in the school storeEnlarge figure using scale factors ; Determine the scale factor of a given figure | Students observed and compare two cylindrical and two triangular objects based on their capacity Quantitative reasoning If Students are tape measure or board ruler to measure desks, tables, cylindrical tinsStudents use guage to determine the volume of cylindrical capacity levels and record the measurement to compare |
| 5 | Geometry continued Lengths, areas and volumes of similar figures Importance Transportation Manufacturing Petty trading Manufacturing industries Engineering Surveying and planning | By the end of the lesson, students should be able to: Calculate the lengths, areas and volumes of some given figures Differentiate between volume and areas of the figuresCalculate the circle | Quantitative Reasoning |
| 6 | Area of plane shapes Parallelograms Trapezium Circle Rectangles Revision of first half term’s work Importance An appraisal of students learning Manufacturing industries Engineering Surveying and planning | 5 By the end of the lesson, students should be able to Calculate the area of a triangle Find the area of a trapezium Calculate the area of a Calculate the areas of a circle 13 repcap previous lessons and attempt the test questions correctly Project: Wooden wall clock showing time using degree of angles for numbering on the clock face Board rulers | 5 5 Students makes plane figures on the surface of a rectangular graph geoboard, measure the dimension of each, then compare the results with the results by formular Quantitative Reasoning 1.29 ? Complte this Students solve problems in small groups Student attempt the test questions Given: |
8 | Area of plane shapes (contd) Areas of sectorArea of segment Real life problems leading to areas of plane shapes | By the end of the lesson, students should be able to Students find the area of a sector Find the area of a segment of a circle Solve real life problems on areas of plane shapes Solve BECE past question on plane figures | 4 Students use pieces of cardboard to make sectors of a circle and segments of a circle Students measure dimensions of each piece made and find their areas 6 2 Quantitative Reasoning complete 6 3 |
| 9 | Trigonometrical ratios The sine, cosine and tangent of an acute angle of a right angled triangleSolve problems on angled and sides of a right triangle Importance: -engineering Surveying and planning Civil engineering Manufacturing industries study of measurement using clinometers Importance Building Technology Civil Engineering Quantity survey | By the end of the lesson, students should be able to Identify the sine, cosine and tangent of an angled in a right angled triangle Solve problems on application of trigonometric ratio to finding angle, distance and length Applying geometric ratio in solving real life problems be able to apply trigonometric ratio to find angled of elevation and depression use elinometer to demonstrate estimate and calculate angles and distances between objects | Students measure the distance between a protractor’s stand learning on the wall and the angle it makes with the wall Quantitative Reasoning Diagram an angle of depression of a fruit on the ground an angle of elevation of the top of a hoisted flag using a clinometers Quantitative Reasoning If Diagram |
| 11 | Revision General revision of the term’s work Importance: Recapulating of learning Appraisal of lessons Preparation for examination | By the end of the lesson, students should be able to Recap lessons of the term Work on strengths and weaknesses in learning in the term Fully prepared for the term’s examination | Students exchange learning using past questions on various topics Quantitative Reasoning Diagram |
| 12 | Examinations | By the end of the examination, students should be able to answer the examination questions correctly on cognitive and psychomotor domains | Students attempt the questions independently under teacher’s supervision |
| 13 | Examinations | Examination | Examinations |
Schemes of Work for Junior Secondary Schools (JSS Three). Lagos State JSS3 Mathematics Scheme of work (AGE 14 ) – schemeofwork.com
Mathematics Scheme of Work JSS3 Third Term
| WKS | TOPICS | LEARNING OBJECTIVES | LEARNING ACTIVITIES |
| 1 | resumption test and review of last term’s work and examinations | By the end of the lesson, students should be able to: Recap the previous lesson Attempt last examination questions Answer resumption (test) correctly | -students solve some difficult areas in the last examinations -students work more problems for effective learning |
| 2 | Basic construction: Bi-section of angles Construction of 450 Construction of 300 Importance -engineering Surveying and planning Building Technology | By the end of the lesson, students should be able to: Construct angle 450Construct angle 300 Construct angles and lines of plane shapes | Students interact and construct angles with the teacher’s guidance, using mathematical set instruments Quantitative Reasoning Diagram |
| 3 | Measure of central tendency Revision on mean, median and mode Median, mode, mean, range | By the end of the lesson, students should be able to: Recap previous work on mean, median and mode Calculate the mode of any given data Calculate the mean of any given data Find the range of any given data | Students I small groups use the ages of students in the class to calculate the mean age, median, the modal age and age range of students in their class Quantitative Reasoning Diagram |
| 4 | Application of measures of central tendency | By the end of the lesson, students should be able to: Collect dataInterpret data and Interpret Data collected from immediate environment and Iv calculate measures of central tendency on it | Each students in the class list his/her last term’s score and find Mean Median Mode Then find the range Quantitative Reasoning Diagram |
| 5 | Pie chart | Be able to interpret and represent information on a pie chart | Students use a pair compass to draw a circle and a protractor to measure out angles with teacher’s guidance Quantitative Reasoning Diagram |
| 6 | Bar chart and Histogram | By the end of the lesson, students should be able to: Draw a bar chart of some given data Draw an histogram of some given data | Students do a representation of number of students in each row in the class using chart Bar chartAn histogram on graph Quantitative Reasoning Diagram |
| 7 | Revision of first half term’s work Importance an appraisal of students learning | By the end of the lesson, students should be able to: Recap previous lessons and Attempt the test questions correctly | Students solve problems in small and large groups using BECE question papers with teacher’s guidance Quantitative Reasoning Diagram |
| 8-9 | Mock Examination | By the end of the period, students should be able to answer the mock examination questions correctly in preparation for BECE | Students attempt questions independently Students submit answer scripts individually |
| 10. | Junior secondary school certificate examination | By the end of the period, students should be able to answer the mock examination question correctly in preparation for BECE | Students attempt questions independently. Students submit answer scripts individually |
