Maths Scheme, Federal General Mathematics Scheme of Work Primary 6. Demography and Population – Schemeofwork.com
GENERAL MATHEMATICS PRIMARY SIX FIRST TERM SCHEME OF WORK
WEEK 1
TOPIC:
Whole number
CONTENT
- Counting in millions and billions up to tens of billions (10 00000 to 99 000 000,000).
- Write and read in millions and billions in figures.
- Write and read in millions and billions in words.
- Place value of millions and billions from 1000 000 to 99 000 000 000).
- Solve problems involving quantitative reasoning.
TEACHERS ACTIVITIES
- Guides the learners to counting in millions and billions.
- Guides the learners to write and read in millions and billions in figures. E.g. 1000 000, 1,050 000, 10, 000, 000, 99 000 000 000.
- Guide the learners to write and read in millions and billions in words. E.g.
Figures Words
- 1,000,000-One million
- 1,050,000- One million, fifty thousand.
- 90,000,000,000 – Ninety billion
- 99,000,000,000 – Ninety nine billion
- Guides learners to find the place value and values of numbers. E.g. 7543821: 7 = 7000 000, 5 = 500 000, 4 = 40000,3 = 3000, 8 = 800 2 = 20, 1 = 1
- Place number on value charts M HTH TTH TH H T V 7 5 4 3 8 2 1
LEARNERS ACTIVITIES
- Count in millions and billions up to 99 000 000 000.
- Write and read in millions and billions in figures.
- Write and read in millions and billions in words.
- Find place value and values of numbers.
- Solve quantitative reasoning in millions and billions.
WEEK 2
TOPIC:
Whole numbers
CONTENT
- Place values of decimal numbers.
- Write decimal in expanded form.
- Write and read decimal numbers in words.
- Ordering of decimals.
- Quantitative reasoning on decimal numbers.
TEACHERS ACTIVITIES
- Guides the learners to place value of decimal numbers e.g. 78.364029; 7 = 70 – tens, 8 = 8 – unit, 3 =3/10 – tenths, 6 = 6/ioo – Hundredths, 4 = 4/1000 – Thousandths, 0 = nothing – No ten thousandth 2 = 2/100000 – Hundred thousandth, 9 = 9/1000 000 – Millionth
- Guide learners to write and read decimal in words e.g. 5.2 = five and two tenths.
- Guide learners to order decimal numbers. E.g. Ascending order : 0.62, 0.84, 0.921 Descending numbers. 0.921,0.84, 0.62.
- Guide learners to solve quantitative reasoning on decimal numbers.
LEARNERS ACTIVITIES
- Place I give value of decimal numbers.
- Write expanded form of decimals.
- Write and read decimal numbers in words.
- Order decimal numbers in ascending and descending order.
- Solve quantitative reasoning on decimal numbers.
WEEK 3
TOPIC:
Fractions
CONTENT
- Revision of meaning and types of fractions with examples.
- Ordering of fraction using <, > and =.
- Ordering of fractions in ascending and descending order.
- Expressing fractions as decimals and decimals as fractions.
- Quantitative reasoning on fractions.
TEACHERS ACTIVITIES
- Guide learners to discover meaning of fractions and its types.
- Guides learners to order fractions using <, >, or = e.g. /2 = /10 , /6 < /5, /3 > /7
- Guide learners to order fractions in ascending. 12 3 2 3 or descending order. E.g. /2, /5, /4, /3 and /10 in ascending order is 3/10, 2/5,1/2 , 2/3 and 3/4 .
- Guide learners to express to express decimal as fractions and vice versa.
- Guide learners to solve quantitative reasoning on fractions.
LEARNERS ACTIVITIES
- Learners discover meaning of fraction through activity given to them and its types.
- Learners order fractions to the same denominator and consider the LCD.
- Order fractions on either ascending or descending order.
- Express fractions as decimal and vice – versa.
- Solve quantitative reasoning on fractions.
WEEK 4
TOPIC:
LCM and HCF of whole numbers.
CONTENT
- Multiples of numbers up to 1st 20 multiples and find the common multiple.
- LCM of 2 digits whole numbers using factors and methods.
- Factors and common factors of whole numbers.
- H.C.F of 2 digit whole numbers.
- Quantitative reasoning involving LCM and HCF of Whole numbers.
TEACHERS ACTIVITIES
- Guide learners to write multiples and common multiples of 2 digits whole numbers e.g. multiples of 10 and 15, 10=10, 20,30,40,50,60,70,80,90. 15=15, 30,40,60,75,90, 105, Common multiples of 10 and 15 = 30, 60, 90
- Guide learners to find LCM of given numbers using factors and prime factors methods.
- Guide learners to find factors and common factors of 2 digits whole numbers. E.g. factors of 28 and 30. Factors of 30 = 1,2, 3, 5, 6, 10, 15, and 30. Factors of 28 = 1, 2, 4, 7, 14 and 28. Common factors of 28 and 30 = 1 and 2.
- Guide the learners to find HCF of 2 digits whole numbers by factors method. E.g. from iii above, the HCF = 2.
- Guide learners to solve quantitative reasoning involving LCM and HCF.
LEARNERS ACTIVITIES
- Find multiples and common multiples of 2 digits whole numbers.
- Find LCM of given numbers.
- Find factors and common factors of given numbers.
- Find the HCF of given whole numbers.
- Solve quantitative reasoning on LCM and HCF.
WEEK 5
TOPIC:
Demography
CONTENT
- Meaning of population using the classes in the school.
- Conducting population census in the school.
- Read and compare population of cities towns or states in Nigeria using Map of Nigeria.
- Read and compare population of HIV prevalence in different countries of the world.
- Quantitative reasoning on demography.
TEACHERS ACTIVITIES
- Guide learners to define population.
- Guide the learners to conduct population census of their school.
- Guide the learners to read and compare populations of towns, cities or states in Nigeria.
- Guide learners to read and compare population of HIV prevalence in different countries of the world.
LEARNERS ACTIVITIES
- Define demography and population.
- Give population of their school, classes etc.
- Read and compare population of some towns, cities and states in Nigeria using the country map.
- Read and compare population of HIV prevalence in some countries.
- Solve quantitative reasoning involving population.
WEEK 6
TOPIC:
Ratio and populations.
CONTENT
- Ratio as a way of comparing two things.
- Reduce ratio to its simplest form.
- Direct proportion.
- Inverse proportion.
- Word problems on proportion.
- Quantitative reasoning involving ratio and proportions.
TEACHERS ACTIVITIES
- Guides learners to revise previous work done on fraction (reducing fractions to its simplest form) and relate the idea to ratio.
- Guide learners to solve direct proportion problems. E.g. A man saves money every day. If he saves N 30 each day, how much can be saved in 4 days?. In a day = N30,2 days = N30 + N30 = N60, 3 days = N30 + N30 + N30 = 90, 4 days = N30 + N30 + N30 + N30 = N120. That is (N30 x 4) = N120.
- Guide learners to solve problems on inverse proportions and to identify some activities that are inversely related.
- Guide the learners to solve problems involving ratio and proportions.
LEARNERS ACTIVITIES
- Compare two things and reduce ratio to its simplest form.
- Solve problems on direct proportion, and note how the saving is in direct proportion to the numbers of days.
- Solve given problems on inverse proportion and identify some activities that are inversely related.
- Solve words problems on proportions.
- Solve problems on quantitative reasoning involving ration and proportion.
WEEK 7
TOPIC:
Ratio and family size and resources and ratio of two populations.
CONTENT
- Explain the concepts of ratio of family size and resources with examples.
- Find the ratio of family size and resources.
- Use ratio in relating proportion of resources to family size.
- Expressing two populations in a ratio.
TEACHERS ACTIVITIES
- Guide learners to explain the concepts of ratio of family size and resources with examples.
- Guide learners to solve problems on ratio of family size and resources. E.g. the following are members of Hassan’s family: Hassan, Abiodun, Yemisi, Taiwo and Kehinde. If Hassan earns a monthly salary of N40, 000. Find the ratio of his family size to his monthly salary. There are 5 person’s in Hassan’s family. Ratio of his family size to his salary. 5= N40,000, Each members of his family will need (receive) N8000.
- Guide learners on the use of ratio in relating proportion of resources to family.
- Guides learners to express two populations in a ratio e.g.
- Two families
- Two towns
- Two countries.
LEARNERS ACTIVITIES
- Under the guidance of the teacher, learners explain the concept of ratio of family size and resources with examples.
- Solve problems on ratio of family size and resources e.g. ratio of family size to salary or income.
- Correctly use ratio in relating proportion of resources proportion of resources to family size.
- Find the ratio of two given populations.
- Solve quantitative reasoning involving ratio and family size and resources and ratio of two populations.
WEEK 8
TOPIC:
Ratio of prevalence of HIV/AIDS between two sexes, two states etc.
CONTENT
- Expressing the ratio of prevalence of HIV/AIDS between two sexes.
- The ratio of prevalence of HIV/AIDS between two teens.
- Expressing the ratio of prevalence of HIV/AIDS between two states.
- Expressing the ratio of prevalence of HIV/AIDS between two countries.
- Quantitative reasoning on the topic.
TEACHERS ACTIVITIES
- Guide the learners to express the prevalence of HIV/AIDS between two sexes .e.g. What is the ratio of men and women living with HIV/AIDS if there are 20000 men and 1200 women. 2000:1200, 2000 = 1200. For every 5men there are 3 women.
- Guide learners to express the prevalence of HIV/AIDS between 2 towns.
- Guide learners to express the prevalence of HIV/AIDS between two states.
- Guide the learners to express the prevalence of HIV/AIDs between 2 towns.
- Guide the learners to solve quantitative reasoning on HIV/AIDs prevalence.
LEARNERS ACTIVITIES
- Express the prevalence of HIV/AIDs of sexes in ratio.
- Express the prevalence of HIV/AIDs of towns.
- Express the prevalence of HIV/AIDs of states.
- Express the HIV/AIDS prevalence rates of Countries.
- Solve quantitative reasoning of HIV/AIDs prevalence.
WEEK 9
TOPIC:
Percentages
CONTENT
- Expressing a number as a percentage of another number.
- Percentage increase.
- Percentage decrease.
- Word problems.
- Quantitative reasoning involving percentage.
TEACHERS ACTIVITIES
- Guide the learners to express numbers as a percentage of another .e.g. find the percentage of boys and girls in a class, if the boys are 18 and the girls are 22.
- Guide learners to calculate percentage increase e.g. the monthly salary of a worker is increased from N50 000 to N75 000. Find the percentage increase.
- Guide learners to calculate percentage decrease.
- Gives more problems on percentage increase and decrease.
- Guide the learners to solve quantitative reasoning on percentages.
LEARNERS ACTIVITIES
- Express number as a percentage of another e.g. percentage of boys and girls in a class.
- Solve problems on percentage of boys and girls in a class.
- Solve problems on percentage decrease.
- Solve more problems on percentage decrease and decrease.
- Solve quantitative reasoning on percentage.
WEEK 10
TOPIC:
ADDITION AND SUBTRACTION
CONTENT
- Addition of whole number
- Subtraction of whole number.
- Addition of fraction and decimal
- Subtraction of fraction
- Quantitative reasoning involving addition and subtraction
TEACHERS ACTIVITIES
- Guides learners to solve problems involving addition of whole number. E.g. add 3486 and 5274. 3 4 8 6 + 5 2 7 4 = 8 7 6 0
- Guide learners to solve problems on subtraction of whole numbers e.g subtract 2716 from 7582. 7 5 8 2 – 2 7 1 6 =4 8 6 6
- Guide the learners to add fraction and decimal
- Guide the learners to solve subtraction of fractions
LEARNERS ACTIVITIES
- Solve problems involving addition of whole numbers
- Solve problems involving subtraction of whole number
- Solve problems on addition of fraction and decimal
- Solve problems on subtraction of fraction
- Quantitative reasoning on addition and subtraction.
WEEK 11
TOPIC:
MULTIPLICATION
CONTENT
- Multiplication by 3 digit numbers.
- Multiplication of decimal by decimal
- Multiplication of fractions by fraction
- Square and square roots of perfect square between 1 and 1000.
- Quantitative reasoning on multiplication.
TEACHERS ACTIVITIES
- Guide the learners to solve multiplication by 3 digit numbers. e.g 1.724 x 181
- Guides learners to multiply of decimal by decimal e.g 0.51 x 0.8
- Guides the learner to solve multiplication of fraction by fractions
- Guides learners to find square and square root of perfect square of numbers.
- Guides learners to solve quantitative reasoning on multiplication.
LEARNERS ACTIVITIES
- Solve problems on multiplication of numbers by 3 digit numbers.
- Solve problems on multiplication of decimal by decimal.
- Solve problems on multiplication of fraction by fractions
- Find the square and
WEEK 12
TOPIC:
DIVISION
CONTENT
- Division of whole number by 2 digit numbers
- Division of whole number by 3 digit numbers.
- Division of decimals by 2 digit numbers.
- Division of decimals by 3 digit numbers.
- Quantitative reasoning on division of numbers.
TEACHERS ACTIVITIES
- Guides learners to divide whole number by 2 digit number e.g. 9104 + 16 569, ‘V9 10 4 – 8 0 1 1 0 9 61 4 4 1 4 4 0
- Guides the learners to divide whole number by 3 digit numbers
- Guides learners to divide decimals by 2 digit numbers
- Guides the learners to divide decimals by 3 digit numbers
- Guides learners to solve quantitative reasoning involving decimals
LEARNERS ACTIVITIES
- Solve problems on division of whole number by 2 digit numbers.
- Solve problems on division of whole number by 3 digit numbers
- Solve problems on division decimals by 2 digit numbers.
- Solve problems on division of decimals by 3 digit numbers.
- Solve quantitative reasoning on division of numbers.
WEEK 13
REVISION
WEEK 14
EXAMINATION
Maths Scheme, Federal General Mathematics Scheme of Work Primary 6 – Schemeofwork.com
GENERAL MATHEMATICS PRIMARY SIX SECOND TERM SCHEME OF WORK
WEEK 1
TOPIC:
Order of operation (BODMAS)
CONTENT
- Order of operation (BODMAS)
- Quantitative reasoning.
TEACHERS ACTIVITIES
- Guide the pupils towards explaining BODMAS as showing below. B (Bracket) is done first, O (of) is done next to bracket. D (division) follow, M (multiplication) is next to division. A (Addition) is next to multiplication. S (Subtraction) is taken last.
- Guide the pupils to solve problems using BODMAS.
- Guide the pupils to solve problems aptitude involving BODMAS.
LEARNERS ACTIVITIES
- Identify and write the meaning of BODMAS.
- Solve problems using order of operation
WEEK 2
TOPIC:
INDICES (power)
CONTENT
- Numbers in index form
- Indices.
TEACHERS ACTIVITIES
- Guide the pupils to write numbers in index form e.g. 2x2x2 = 23
- Guide the pupils to express numbers in index form e.g. express 48 in index form: 48 = 2x2x2x2x3 = 24 x 3.
- Guide pupils to multiply numbers using the index form e.g. 20×63 = (22 x 5) e.g. 20×63 = (22 x 5) x (32 x 7)
- Guide pupils to solve problems on quantitative reasoning in index form.
LEARNERS ACTIVITIES
- Write numbers in index form.
- Express numbers in index form.
- Multiply numbers using index form.
- Solve problems on quantitative reasoning related to indices.
WEEK 3
TOPIC:
Ratio and percentages.
CONTENT
- Ratio and percentage
- Expressing a number as a percentage of another number.
- Profit and loss percent.
TEACHERS ACTIVITIES
- Guides learners to solve problem on ratio. E.g. ratio of boys to girls in a class is 3:2, if there are 35 pupils in the class, how many are boys? Total ratio = 3+2=5 3/5 x 35 7 = 21: 1, There are 21 boys in the class.
- Guide pupils to express a number as a percentage of another e.g. what percentage of 10 is 5? 5/10 x 100 = 50%1
- Guide pupils to calculate the profit and loss percents in a given problem.
- Guide learners to solve quantitative aptitude problems on ratio, percentage, profit and loss.
LEARNERS ACTIVITIES
- Calculate ratio of given numbers.
- Express given numbers as percentage of others.
- Calculate profit and loss percents of given problems.
- Solve quantitative reasoning problems on ratio, percentage, profit and loss.
WEEK 4
TOPIC:
Open Sentences
CONTENT
- Open sentence
TEACHERS ACTIVITIES
- Guides pupils to interpret and solve word problems e.g. if 60 oranges are divided equally in 3 basket how many are in one basket?
- 60 + 3 = A 60 x 1 = A 1 3
- 1 Cross multiply 60 x 1 =A 1
- 3 A = 20
- Guides pupils to solve quantitative aptitude related problem involving three or more operations.
LEARNERS ACTIVITIES
- Interpret word problems into open sentences and solve them.
- Solve quantitative aptitude problems involving two or more operations on open sentences.
WEEK 5
TOPIC: Money, population, economics and conversion of currencies.
CONTENT
- Taxes, rates, rents, buying and selling of shares and dividends.
- Use of calculator in conversion of currency.
TEACHERS ACTIVITIES
- Guides the learners to give reasons.
- For some levies.
- Guide learners in transaction of buying and selling of shares.
- Guides pupils to calculate taxes rates and shares dividends.
- Guides learners to use calculator for the conversion of one currency to another.
- Guide learners to solve problems on quantitative reasoning base on taxes rates shares dividends and conversion of one currency to another.
LEARNERS ACTIVITIES
- List items on which taxes and rates could be taken.
- Calculate taxes rates and shares dividends.
- Use calculator to convert currencies.
- Solve problems on quantitative reasoning base on taxes, rates, shares dividends and conversion of one currency to another.
WEEK 6
TOPIC:
Length
CONTENT
- Pythagoras rule.
TEACHERS ACTIVITIES
- Guides learners to introduction of Pythagoras rule, right angled triangles and measurement of sides.
- Guides learners to identify the hypotenuse, opposite and adjacent side to the right angle triangle
- Guides learners to solve problems Pythagoras theory
LEARNERS ACTIVITIES
- Draw the right angle triangle.
- Use Pythagoras theory a2 + b2 = c2 to calculate the unknown side.
- Solve quantitative aptitude Pythagoras theory
WEEK 7
TOPIC:
WEIGHT
CONTENT
- Word problem on weight.
TEACHERS ACTIVITIES
- Guide learners to the meaning of unit and measurement
- Guide learners to obtain measures of their weight using other objects or scale
- Express their weight and other weight in different unit
- Guide learners to solve word problem on weight.
- Guide learners to Solve quantitative aptitude on weight
LEARNERS ACTIVITIES
- Weight is the heaviness of any object and the basic unit of measurement or weight is grammes.
- Obtaining their body weight and that o different objects
- Expressing their weight and other weight in grams and kilograms
- Solve word problem on weight.
- Solve quantitative aptitude on weight
WEEK 8
TOPIC:
Time
CONTENT
- Timing in minutes and seconds.
- Reading time – table of journeys.
TEACHERS ACTIVITIES
a. Guides pupils to perform practical activities to determine time on task e.g. eating, walking etc.
b. Guide learners to solve quantitative aptitude problem on time.
What is the time in each clock?
c. Guide pupils to use these time table to estimate the time it takes a train or an airplane to get to a specific destination.
An airplane time table from Abuja to Lagos.
Minutes Distances
1min 12 kilometers
2mins 24 kilometers
3mins 36 kilometers
4mins 48 kilometers
How many minutes will it take an airplane to cover a distances of 192 kilometers?
Base on the above time table?
d. Guides learners to prepare time table for their daily or weekly activities
LEARNERS ACTIVITIES
- Measure time on task in seconds and minutes.
- Solve quantitative aptitude problems involving timing.
- Use time table to estimate the time it will take a train or airplane to get to a certain destination.
- Use time table to plan for a day or a week.
WEEK 9
TOPIC:
Perimeter
CONTENT
- Perimeter of a rectangle.
TEACHERS ACTIVITIES
- Guides the learners to define the term perimeter.
- Guides pupils to draw two rectangles of dimensions 20cm by 10cm and 25cm by 8cm
- Guides pupils to draw to prove that they have equal area but different perimeters
LEARNERS ACTIVITIES
- Perimeter is the distance round a shape.
- Find the perimeter of the two rectangles.
- Compare their results of the two rectangles.
WEEK 10
TOPIC:
AREA
CONTENT
- Areas of a trapezium and other figure
- Land area
TEACHERS ACTIVITIES
- Guide students to draw and brake a trapezium into two parts
- Guide students to calculate land area expressing the unit in hectares
- Guide students to calculate areas of a trapezium
LEARNERS ACTIVITIES
- Calculate areas of a trapezium.
WEEK 11
REVISION
WEEK 12
EXAMINATION
GENERAL MATHEMATICS PRIMARY SIX THIRD TERM SCHEME OF WORK
WEEK 1
TOPIC:
VOLUME
CONTENT
- Models of simple 3 – dimensional shapes.
- Volume of prisms
- Volume of cylinder
- Volume of sphere
- Quantitative Aptitude
TEACHERS ACTIVITIES
- Guides pupils to work in groups to build models of simple 3 – dimensional shapes. Eg Prism, cylinder and spheres.
- Guides pupils in defining prism. Eg
- A prism is a solid, with uniform cross – section. of Examples of prisms are cube, cuboid, cylinder, triangular prism.
- Calculate the volume of cuboid. (which is a prism on a rectangular base) V = Lxbxh.
- Guides pupils in deriving and calculating the volume of a cylinder. Formula: nr2h.
- Guides pupils in deriving and calculating the volume of a sphere. E.g formula V = 4/3 nr3
- Solve some quantitative aptitude and sp problem on volume of prism, cylinder and sphere.
LEARNERS ACTIVITIES
- Construct simple 3 – dimensional shapes using cardboard.
- Identify the end of the uniform cross – selection which is the base of the prism, length which is the height and calculate volume of cuboids.
- Derive the formula for finding the volume of a sphere.
- Derive the formula for finding the volume of sphere.
- Solve quantitative aptitude problems on volume.
WEEK 2
TOPIC:
CAPACITY
CONTENT
- Define capacity and state unit of capacity
- Convert milliliters to litres
- Convert litres to milliliters.
- Word problem on capacity.
- Quantitative Aptitude.
TEACHERS ACTIVITIES
- Guides pupils to work in groups to define capacity using practical illustration to demonstrate the different units of capacity. Eg. Use a 50cl bottle to fill a litre bottle with water.
- Guides pupils to change mililitres to litres.
- Guides pupils to change litres to mililitres.
- Guides pupils solve word problems on capacity. Eg. A drum contains 1500 litres of petrol. How long will it last if a driver takes 50 litres a day?
- More word problem on capacity.
LEARNERS ACTIVITIES
- Use smaller units of container to determine the capacity of bigger containers.
- Calculate the capacity of given containers.
- Calculate capacity of given container.
- Solve word problem on capacity.
- Calculate more word problem on capacity.
WEEK 3.
TOPIC:
SPEED
CONTENT
- Average speed (practical)
- Average speed.
- Time
- Distance
- Quantitative Aptitude
TEACHERS ACTIVITIES
- Guides pupils to work in groups to define average speed by carrying out an activity. E.g. measure and record the times used by a pupil to walk along the sides AB, BC, CD and DA of the football field.
- Guides pupils to calculate average speed as ; Speed = distance Time
- Calculate time taken using: total distance – Average speed
- Guides pupils to calculate Total distance as; Average speed x Total time taken.
- Guides pupils to solve quantitative aptitude problems related to time and speed.
LEARNERS ACTIVITIES
- Record and calculate the time and distance.
- Calculate average speed: Speed = Distance covered Time taken
- Calculate time taken as = total distance Average speed
- Calculate total distance using the formula Average speed x Total time.
- Solve quantitative aptitude problems related to time and speed.
WEEK 4
TOPIC:
ATHLETICS TIME
CONTENT
- Reading time table
- Standard time for athletics.
- Quantitative reasoning
TEACHERS ACTIVITIES
- Lead the pupils to define time – table .E.g. A time – table is a plan of actions according to the time the actions will take place.
- Standard time for athletics.
- Quantitative reasoning
LEARNERS ACTIVITIES
- Pupils make table for races and time during their inter- house sport competition.
- Guide pupils on how to give record times for 100m, 400m, 800m by men and women from different years.
- Guides pupils to solve problem on athletics time in quantitative aptitude.
WEEK 5
TOPIC:
PLANE FIGURES
CONTENT
- Two – dimensional shapes in the environment.
- Describe two – dimensional shapes with examples.
- Basic properties of two – dimensional.
- Irregular polygon.
- Quantitative Aptitude
TEACHERS ACTIVITIES
- Guides pupils to identify the basic properties of two – dimensional shapes. E.g. Rectangular, circle quadrilaterals etc.
- Guides pupils to discovered and appreciate the various 2 – dimensional shapes in their environment. Eg. Surface of their desk top, black board etc.
- Guides pupils to identify the basic properties of isosceles, equilateral, right angle and scalene triangle.
- Guides pupils to draw and mention the irregular polygon and their properties. E.g. scale, irregular quadrilateral e.t.c.
- Solve some quantitative aptitude problems on 2 – dimensional shapes or polygon.
LEARNERS ACTIVITIES
- Identify properties of two – dimensional shapes.
- Pupils mention and draw the different two – dimensional shapes in the environment.
- Pupils mention the properties and draw isosceles, equilateral, right angle and scalene.
- Pupils draw and mention the irregular polygons and their properties.
- Solve quantitative Aptitude problems on 2 – dimensional shapes or polygon
WEEK 6
TOPIC:
ANGLES
CONTENT
- Describe Angle.
- Types of angles and symbol for angle.
- Measure angle in degrees.
- Measurement of angles in a plane.
- Measurement of angles on a straight line.
TEACHERS ACTIVITIES
- Guides the pupils using illustrated examples to describe where angles can be formed around in classroom. E.g. when one opens a book, suggest how such openings is made in degrees.
- Open door.
- Clock face.
- Guide the pupils to mention types of angles, draws and identify the symbols of an angle. Examples of angles: Acute, right angle e.t.c.
- Guides pupils to measure angles using protractor in the correct placement.
- Guides pupils to indicate the edges, vertices and faces of given shapes using protractor to determine the size of angles in a given shape.
- Guides pupils on how to use protractor to measure angles on a straight line. E.g. Measure <x and <y.
Find x + y
XV
CZ. 1
- < y = 120°
- < x = 60°
- < x + < y = 120° + 60° = 180°
LEARNERS ACTIVITIES
- Pupils give examples of how angles are formed using their environment.
- Pupils mention types of angles, draws and identify the symbols of an angle.
- Use protractor and ruler to measure correctly the given angle.
- Identify the number of edges, verticals and faces of given shapes, using protractor to determine the sizes of angles in a given shape.
- Measures and identify angles on straight line using protractor.
WEEK 7
TOPIC:
HEIGHT AND DISTANCE.
CONTENT
- Measurement of Height.
- Measurement of Distance.
- Word problems on Height.
- Word problem on distance.
- Quantitative Aptitude.
TEACHERS ACTIVITIES
- Leads pupils in describing height, give examples of heights .E.g. building, towers, a tree, mountains, human being e.t.c and the unit of measurement height.
- Guides pupils in describing distance, using illustrated examples. E.g. find the distance between two buildings.
- Guides pupils in solving word problems on height
- Guide pupils in solving word problems on distance.
- Guides pupils in solving problems in quantitative distance.
LEARNERS ACTIVITIES
- Measure their heights without shoes using metre rule, use metre rule to obtain the measurement of dimensions of their classroom.
- Pupils work in groups to measure out distances given in the class activity.
- Pupils solve problems on height.
- Solve problem in involving Aptitude involving height and distance
- Solve problem in quantitative Aptitude involving height and distance.
WEEK 8
TOPIC:
POLYGONS
CONTENT
- Two-dimensional polygon.
- Angles of a polygon.
- Three-dimensional figure.
- Properties of 3-dimensional figures
- Quantitative Aptitude.
TEACHERS ACTIVITIES
- Guides pupils to recall the names and features of 2-diemsional polygon.
- Guides pupils in finding the sum of the interior angles of a regular polygon and exterior angles. E.g. Sum of interior angle is calculated by measuring one angle and then multiplies.
- Guides pupils in describing a 3-dmbeimensional figure and give examples by the number of sides.
- Leads pupils to mention the properties of the 3-dimensional figures given. E.g. prism, pyramid, cube, cones e.t.c
- Lead pupils in solving problems involving 2-dimensional and 3-diemensional figures.
LEARNERS ACTIVITIES
- Pupils identify given plane shapes in terms of its name and essential features. E.g. square, rhombus, parallelogram. E.t.c.
- Pupils solve problem on the sum of interior and exterior angles of a regular polygon.
- Pupils describe and give examples of 3-dimensional shapes. Solve problems on sum of interior and exterior angles.
- Mention the properties of the given 3-dimensional figures.
- Solve problems on 2 and 3¬dimensional figures in quantitative Aptitude.
WEEK 9
TOPIC:
SCALE DRAWING
CONTENT
- Define scale drawing and a simple drawing
- Converting Actual object to scale drawing.
- More worked examples on scale drawing
- Usefulness of scale drawing.
- Quantitative Aptitude.
TEACHERS ACTIVITIES
- Guides the pupils in defining scale as a ratio or proportion used in the process of reduction or enlargement.
- Guides pupils in converting given lengths and distances to their corresponding scale value.
- Guides pupils on solving more worked examples on scale drawing.
- Guides pupils in stating the usefulness of scale drawing. E.g: It is used in presenting building plans on paper.
- Guide pupils to solve problems in quantitative Aptitude involving scale drawing.
LEARNERS ACTIVITIES
- Define scale and draws simple scale drawing according to a given scale.
- Convert given lengths and distance using a defined scale.
- Solving more worked examples on scale drawing.
- State the usefulness of scale drawing.
- Solve problems in quantitative Aptitude involving scale drawing.
WEEK 10
TOPIC:
POPULATION
CONTENT
- Meaning of population and interpretation of pictograms.
- Interpretation of Bar Graphs.
- Collection of data
- Tally marks
- quantitative Aptitude
TEACHERS ACTIVITIES
- Teacher guides the pupils by defining population and present a pictogram chart of the population of the boys and girls in the school.
- Guides pupils on how to interpret Bar Graph
- Guides pupils to work in groups to count and record the numbers of pupils in their group born in first four months of the year.
- Guides pupils to use tally marks to represent Data collected. e.g: Construct tally table for the following data.
7 | CD | CD | 5 | CD | CD | CO |
5 | 7 | 5 | CO | CD | CD | 5 |
CO | CD | 7 | CD | CD | CD | 7 |
Number | Tally | Frequency |
5 | INI | 4 |
6 | WI I | 5 |
7 | INI | 4 |
8 | III | 3 |
9 | IIII | 4 |
- Guides pupils to solve problems involving tally marks in quantitative Aptitude
LEARNERS ACTIVITIES
- Pupils are to prepare pictogram of given data.
- Pupils interpret given data on bar Graph.
- Pupils organize the data
- Solve problem on constructing tally table of given data.
- Solve problems involving Tally marks in quantitative Aptitude.
WEEK 11
TOPIC:
Measures of central Tendency.
CONTENT
- Mode, Mean and Median.
- Calculation of mean
- Calculation of median.
- Calculation of mode.
- Quantitative Aptitude.
TEACHERS ACTIVITIES
- Guides pupils to define mean, median and mode with examples.
- Guides pupils by using worked examples to explain mean of a given data.
- Guides pupils by using worked examples to explain median of a given data.
- Guides pupils by using worked examples to explain mode of a given data
- Guides pupils to solve problems involving mean, median and mode.
LEARNERS ACTIVITIES
- Defines mean, median and mode and give examples.
- Organize a given data and calculate the mean.
- Organize a given data and calculate the median.
- Organize a given data and calculate the mode.
- Solve problems involving mean, median and mode.
WEEK 11.
REVISION
WEEK 12.
EXAMINATION