# THIRD TERM MATHEMATICS SCHEME OF WORK FOR PRIMARY SIX (6)﻿

WEEK 1 CONTENTS: REVISION OF LAST TERMS WORK.

WEEK 2 TOPIC: OPEN SENTENCES

1. Open sentences

LESSON OBJECTIVE: Pupils should be able to:

1. Solve problems express as  open sentences
2. Interpret words into open sentences and solve them. E.g.
3. If 40 notes are to be shared among 5 pupils, how many books will be given to a pupil?

5 pupils ———————-40 notes

1 pupils ———————– (40 / 5) notes

= 8 notes

• Find the letters e.g. 2y+6 = 30

2y = 30 – 6

2y = 24 divide both sides by 2

2y/2 = 24/2

Y = 12

1. Solve more problems on simple questions

4x + 2 = 6 + 2x collect like terms

= 4x – 2x = 6 -2 divide both sides by 2

2/2 = 4/2

X = 12

• QUANTITATIVE REASONING:  children should be able to solve related problem on quantitative aptitude.

WEEK 3 CONTENTS:  ANGLES (MEASURING OF ANGLES).

LESSON OBJECTIVE: Pupils should be able to:

1. Measure angles in degrees using clock .e.g. 30°, 60°, 90°, 45°, etc.

Note: sum of angles of a point is 360°, therefore between one hour and other hour is 30°, it between two hours is 60°, and so on. One minute is 60°. E.g. draw a 120° on a clock.

1. Pupils should be able to use protractor to measure angled in degree as well as e.g. 30°, 45°, 60 °…
2. Measuring angle in a plane.
3. Find the unknown sum of angles in a triangle e.g. the unknown angle since sum of angle of a triangle is 180 °,

QUANTITATIVE REASONING: Pupils should be able to solve quantitative aptitude problems relating to angles.

WEEK 4 CONTENTS: POLYGON

LESSON OBJECTIVE: Pupils should be able to:

1. Name some of the two dimensional shapes not exceeding octagon e.g polygon, triangle and quadrilateral.

Examples: Triangles, right angles triangles, equilateral triangles, isosceles etc.

Polygon: is a closed plane shape bounded by straight line e.g pentagon, hexagon, octagon etc

1.  They should be able to draw line of symmetry e.g square, pentagon etc.

Note: Number of sides is number of line of symmetry.

1. They should be able to identify and appreciate 3- dimensional shapes e.g Cube, cone, and triangular prism. I.e. Closed or solid object.
2.  Pupils should be able to draw and name the sides of polygon including their names. E.g. Pentagon – 5 sides(3 triangle)

Hexagon – 6 sides etc. (4 triangles)

QUANTITATIVE REASONING: they should be able to solve quantitative aptitude problems relating to polygon.

WEEK 5 TOPICS: SCALE DRAWING

1. Scale drawing
2. They should be able to develop interest in converting length and distances of objects in his environment to any scale.
3. Quantitative aptitude

LESSON OBJECTIVE: Pupils should be able to:

1. Draw plans according to a given scale.
2. Take out pupils to measure the dimension of farms, garden, playground etc. using the scale.

WEEK 6 CONTENTS:

• PLANE FIGURES
• QUANTITATIVE APTITUDE

LESSON OBJECTIVE: Pupils should be able to:

1. Identify the basic properties rectangle and a square e.g
2. Discover and appreciate the various square and rectangle objects in his environment, e.g cube of sugar has six square plane sides and others.

Rectangle: boxes, teacher table and so on. Six plane faces, opposite faces are equal.

1. They should be able to review basic properties of
2. Isosceles triangle:
3. Two sides are equal
4. Two of its angles are equal
5. One line of symmetry
6. Equilateral triangle:
7. All sides and angles are equal
8. Three lines of symmetry
9. Right angle Triangle:
10. It has one right angle
11. Two sides are perpendicular
12. Longest side face the right angle (opposite) called hypotenuse.
13. Scalene triangle
14. None of its side equal
15. No line of symmetry
16. None of its angles are equal

QUANTITATIVE APTITUDE: they should be able to name the shape given correctly.

WEEK 7 CONTENT: EVERYDAY STATISTICS

• POPULATION

LESSON OBJECTIVE: Pupils will be able to:

1. The meaning of population i.e. population is all people who live in an area e.g. state, country, community etc.
2. Interpret   pictograms and bar graphs. E.g. using picture of represents data. i.e. 5 people represent.

Bar graph: the use of rectangular bar to represent data

1. Collect data and prepare tally of where necessary e.g. (2, 4, 2, 3,3,4,3).
2. Use table to prepare bar graphs.

Note: Scale is necessary to draw bar graph i.e. 2cm represent 5 units and so on.

• Calculate data represented on pie-chart.
• Perform some experiments on data collection e.g. tossing of a coin.
• Pupils should be able to find the mode, median and mean of data. (2, 3, 4, 5, 2, 2, 3, 4).

Note;

MODE: the most occurred in data collected or the one with highest frequency (tall mark)

MEDIAN: the middle i.e. of odd on is gang to be in the middle and the two number divided by 2 will give median number.

MEAN: the total of the data collected, divided by the total frequency i.e. total number of appearance of all date.

QUANTITATIVE APTITUDE: the children should be able to solve problem of statistics.

WEEK 8 TOPICS: MEASUREMENT OF HEIGHT AND DISTANCES

LESSON OBJECTIVE: Pupils should be able to:

1. Measure the height of human beings, building tree and distance. E.g
2. By writing the height(in metres) on the wall of the classroom for children to measure their heights
3. Use tapes to find the dimension of the classroom
4. Measure the height of different trees in the school compound and record their observation.
5. Compare their heights in the  classroom
6. Use tapes to measure longer distances and record their findings
7. Measure hand and leg spans and differentiate between the two. –compare the hand and leg spans of measuring the classroom.

QUANTITATIVE REASONING: solve quantitative aptitude problems involving the topic.

WEEK 8 TOPIC: BINARY NUMBERS SYSTEM

1. Numbers in base 2
2. Conversion of base 2 numbers to base 10 numbers and vice versa
3.  Quantitative reasoning

LESSON OBJECTIVE: Pupils should be able to:

1. Identify numbers in base 2 e.g. the numbers in base two are between 0 and 1
2. Convert base 2 numbers to base 10 numbers and vice – versa.
3. Solve problems on quantitative aptitude involving binary number system

WEEK 9: BINARY NUMBER SYSTEM (CONTINUED)

1. Addition of Numbers in base 2
2. Subtraction of numbers in base 2
3. quantitative Reasoning

LESSON OBJECTIVE: Pupils should be able to:

1. add numbers in base 2
2. subtract numbers in base 2
3. solve problems on quantitative aptitude involving addition and subtraction binary Numbers system

WEEK 10: STATISTICS

1. Definition of statistics
2. Prepare a tally of data
3. Tossing of coins and throwing die
4. More work on pictogram, bar graphs and pie chart.
5. Quantitative reasoning

LESSON OBJECTIVE: Pupils should be able to:

1. Define statistics as the collection, classification analysis, presentation and interpretation of data (information) in a logical and orderly manner.
2. Prepare a data tally data of date by throwing die in number of times and recording the occurrence of Numbers, 1, 2, 3, 4, 5 and 6.
3. Represent the date collected in pictograms bar graphs and pie chart
4. Solve problems on quantitative aptitude involving pictograms, Bar graphs and pie chart.

WEEK 11: STATISTICS CONTINUED

1. Mode of data
2. Mean of data
3. Median of data
4. Quantitative reasoning

LESSON OBJECTIVE: Pupils should be able to:

1. Find the mode of a given data e.g. (a) find the mode of  1, 6, 7, 5, 9, 6, 3,2
2. Calculate the mean of a given data e.g. (a) 4, 5, 4, 4, 6, 7.
3. Calculate the median of a given data. E.g. find the median of
4. 2, 4, 1, 3,,7,6,8
5. 3, 1,2, 4, 6,4

Noting that it should be arranged from ascending order to descending order or vice versa before it is determined. Also where two figures appears in the middle as in (b), both should be added and divided by 2 to determine the median.

• Solve problems on quantitative aptitude involving mean, median and mode. E.g. use these figure to solve the following problems: 3, 6, 5, 6,

What is (1) Mode + median

(2) Mean + mode

(3) Mode x mean

WEEK 12:  REVISION OF ALL TERMS WORKS

Revision, project/ practical work.

Make use of cardboard, cell tape, razor blade, or scissors and rules to make the nets or planes of Cube, cuboid and cylinder.

WEEK 13:   EXAMINATION