GRADE 6
SYLLABUS
9
GRADE 6
GRADE 6 / TOPIC: NUMBER
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

Abacus,
Pupils will be able to:
Whole numbers (0 to 1000 000)


say, read, and write any number in the
range;
give values of digits of any given
number in the range;

approximate numbers;

identify prime numbers in the range 0 50;

arrange numbers in order of magnitude;

write numbers in expanded notation.
10

Saying, reading and writing numbers in
numerals or words
Writing numerals in expanded notation
to determine place value.
number lines,
50 square grids.

Comparing two numbers by using
greater than, less than and equal signs.

Arranging sets of numbers in order of
magnitude.

Identifying prime numbers between 0
and 50.

Approximating numbers to the nearest
ten, hundred, thousand and ten
thousand.

Practising identifying place values, and
rounding off.
GRADE 6
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

Saying, reading and writing fractions in
numerals and identifying numerators
and denominators.
fraction charts
number cards
number lines.

Recognising, interpreting, and using
diagrammatic representation of proper
fractions with denominators in the
range.

Presenting fractions in an equivalent
form, for example
Pupils will be able to:
Proper fractions
(with denominators 2 to 10 and multiples of
5 up to 100 inclusive)

say, read and write fractions with
denominators in the given range;

write equivalent forms of fractions;

compare fractions and arrange them in
order of size.
3=1
6 2
Mixed numbers
(with denominators 2 to 10 and multiples of
5 up to 100 inclusive)

identify mixed numbers;

compare mixed numbers;


Comparing two proper fractions using <,
> and = signs.

Arranging proper fractions in order of
size.

Reading meters showing tenths and
hundredths.

Saying, reading and writing mixed
numbers.

Comparing any two mixed numbers
using <, > and = signs.

Changing mixed numbers to improper
fractions and vice versa.
Mixed number charts,
number lines.
convert mixed numbers to improper
fractions and vice versa.
11
GRADE 6
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

Saying, reading and writing any number
expressed in decimal form with up to 3
decimal places.
Number strips,
Abacuses,
fraction charts,
equivalent fraction charts,
money.
Pupils will be able to:
Decimals

say, read and write any given decimal
number;
(decimals up to 6 digits including up to 3
decimal places)

tell the value of any digit in a given
decimal number;

compare any two decimal numbers
using <, >, and = signs;
Writing decimals in expanded notation
to determine place value.

Comparing any two decimals by using
greater than less than and equal to
signs.

Arranging sets of decimals in order of
magnitude.

Rounding off decimals and measures to
the nearest unit, tenth and hundredth.

Reading and writing percentages from
diagrammatic representations and
numerals.

Converting fractions to percentages and
vice versa.

Reading and writing fractions
expressed as percentages.

Percentages

arrange decimals in order of size;

round off decimals.

express fractions as a percentage and
vice versa.
12
Money,
100 square grid,
number lines graduated up to
100,
metre rule.
GRADE 6
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS
Number cards,
conversion charts,
clock faces with Roman and
Arabic numerals.
Pupils will be able to:
Other numeration systems

say, read and write Roman numerals;

Saying, reading and writing Roman
numerals in the range.
Roman numerals from I to L then C, D and
M (1 – 50, 100, 500 and 1 000).

convert from Roman to Arabic numerals
and vice versa.

Working with basic symbols to construct
other Roman numerals I - L

Converting from Arabic to Roman
numerals and vice versa.
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GRADE 6
GRADE 6 / TOPIC : OPERATIONS
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS
Addition and subtraction of whole numbers,
fractions and decimals 0 - 1000 000
Pupils will be able to:
 give mental answers to addition and
subtraction of basic facts;

Recalling addition and subtraction basic
facts.

use the associative and commutative
laws;


add and subtract measures;

add and subtract decimals;
Adding and subtracting numbers, and
fractions using the commutative and
associative laws where applicable, for
example 2+3 = 3+2 commutative law
2+(3+4) = (2+3)+4 associative law

add and subtract proper fractions and
mixed numbers.

Adding and subtracting measures
where no more than two units of each
measure are involved.
work cards,
fraction charts,
place value charts,
number lines,
money,
weights,
balance,
graduated and non graduated,
containers,
metre rules,
rulers.

Using decimal notation where
applicable.

Filling in one missing element for open
sentences involving addition or
subtraction.

Illustrating, addition and subtraction
operation on a number line.

Adding and subtracting proper fractions
and mixed numbers.

Adding and subtracting decimals.
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GRADE 6
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

Addition charts
Pupils will be able to:
Multiplication and division

recall multiplication basic facts;
(of whole numbers, fractions and decimals)

multiply and divide using long methods;

multiply decimals by decimals;

multiply and divide proper fractions by
whole numbers and vice versa;

calculate fractions, decimals,
percentages of numbers and measures;

write numbers in index notation.
15

Recalling multiplication facts up to
10x10 including product values of 0;
Recalling division facts where the
dividends are no more than 100 and the
divisor is a single digit whole number ,
10 and multiples of ten.
number lines
fraction charts
work cards
100 square grid
abacuses

Multiplying using the long method:
numbers and measures within the given
range.

Dividing using the long method:
numbers and decimal measures up to 3
decimal places.

Multiplying proper fractions and mixed
numbers where no more than 3 terms
are used and where the denominator is
10 and below.

Dividing fractions by whole numbers
and vice versa.

Writing numbers in index notation for
example 2 4 = 16.

Finding fractions, decimals and
percentages up to 100% of numbers
and measures, for example, money and
length.
flash cards
GRADE 6
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS
Pupils will be able to:
Combined operations
Involving three operations (addition,
subtraction and multiplication or division).

work out mathematical exercises
involving three operations.

Adding, subtracting and multiplying or
dividing whole numbers and/or fractions
using the law of precedence/priority.
5-3x2+9
= 5-6+9
= 14-6
=8
3 1 2 1
+


4 6 3 8
=
3 1 3 1
+
x

4 6 2 8
=
3 1 1
+

4 4 8
=
8 1

8 8
=
7
8
N.B. Multiplication and division are carried
out before addition and subtraction.
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GRADE 6
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

Diagrams drawn to scale,
Rulers,
classroom blocks,
Money,
click wheels,
tape measures,
strings.
Pupils will be able to:
Ration and scale

say and write ratio in three ways;
Saying and writing ratio in 3 ways, for
example, 2 to 5, 2:5 and

express quantities as ratio;

reduce ratio to the lowest terms;

share using ratio;

draw diagrams to scale and interpret
scale.
17
2
.
5

Expressing quantities as ratio: for
example 15cm to 1m 20c : $1,50.

Reducing ratio to the lowest terms.

Sharing quantities and measures using
ratio.

Converting scale distances into actual
measurements and vice versa.

Drawing lines and simple plans to scale.
GRADE 6
GRADE 6 / TOPIC : MEASURES
CONCEPT
Money
Time
(second to a century)
OBJECTIVES
Pupils will be able to:
 prepare invoices correctly;

work out change;

distinguish between buying price and
selling price and to calculate profit or
loss.

read and convert time;

estimate and calculate time taken;

tell and write time in 12 hour and 24
hour notations.
18
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

Preparing invoices and calculating
change.

Role playing on buying and selling.
Invoices,
corner/class shop,
money,
selling charts.

Calculating the differences between
buying and selling prices and working
out profit/loss.

Using the following units of time in
meaningful contexts. century, decade,
leap year, month, week, day, hour,
minute and second.

Telling and using the number of days in
each month.
Using the following conversions:
60minutes = 1 hour
24hours = 1 day
7 days = 1 week
365 days = 1 year
366 days = 1 leap year
10years = 1 decade
100years = 1 century


Telling and writing time to the nearest
minute.

telling and writing time on the 12 and 24
hour notations.

Estimating time from shadows and from
the position of the sun at different times
of the day.

Interpreting a calendar and writing in SI
notation.
Charts on units of time
watches
calendars
clock faces
sun dials.
GRADE 6
CONCEPT
OBJECTIVES
Pupils will be able to:
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS
Mass

convert units of mass;

(mass from a gramme up to a tonne)

estimate and measure mass;
Stating and using the conversions:
1000g = 1kg
1000kg = 1 tonne.

find gross and net mass up to a tonne.

Converting masses in smaller units to
larger units and vice-versa. Such as
125g=0,125kg.
Scales and balances
containers for example packets,
bottles, bags.
soil
stones
50g to 1kg weights

Estimating and comparing any two
masses.

Measuring the mass of quantities up to
5kg to the nearest 50g.

Selecting appropriate units of mass for
finding the mass of given quantities.

Estimating and measuring mass to the
nearest kilogram in the range 1 kilogram
to 5 kilograms.

Determining gross and net mass.

Measuring distances up to 1km.

Estimating length by pacing and by
using spans to establish that the
perimeter is the sum of the lengths of
the sides of a figure.

Applying the formula P= 2(L+B) for
rectangles and P=4xS for squares.

Discussing meaning and use of scale.

Drawing lines to a given scale.
Length

estimate and measure length using
standard and non standard units;

find the perimeter of figures;

draw lines to scale.
(standard and non standard)
19
Rulers,
metre rules,
metre sticks,
tape measures,
ropes or strings,
conversion table of length,
buildings,
rectangular shapes.
GRADE 6
CONCEPT
OBJECTIVES
Pupils will be able to:
Rate

link two quantities as rate;

calculate speed.
Area
Areas of quadrilaterals and triangles

estimate areas of given figures;

calculate area of quadrilaterals and
triangles.
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

Linking two quantities as rate such as
cents/kilogram, grams/ litre.

Comparing distances covered and time
taken.
Charts with formulae
ready reckoners
graphs
pendulums
stop watches.

Deriving the formula of
S=D.
T

Estimating speeds using standard and
non- standard units.

Estimating areas of squares, rectangles
and triangles by counting squares.
metre rules
metre sticks
tape measures

Deriving the formulae:
figures divided into one
centimetre squares.
A= L x W for rectangles
A = ½ B x H for triangles
20

Finding areas of quadrilaterals.

Selecting the appropriate unit for
measuring areas of different surfaces
up to square metres.
GRADE 6
CONCEPT
Volume and capacity
OBJECTIVES
Pupils will be able to:
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

determine volume of cubes, cuboids,
and rectangular prisms;


find volume of irregular shapes by
displacement.;
1cm cubes
rectangular prisms, cubes,
water, fine sand,
graduated measuring cylinders,
irregular stones,

estimate capacity and calculate volume.
Directions, angles and lines


.
Cardinal points in relation to position of
places.

identify the 8 cardinal points;

identify the position of a point in relation
to another given point ;
Angles with emphasis on horizontal,
vertical and perpendicular lines.
1 1 3
, , and 1 revolution;
4 2 4

illustrate

identify horizontal, vertical and/or
perpendicular lines;
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Stating and using the following
conversions
1000ml = 1 litre
1000cm3 = 1 litre
1cm3 = 1ml

Selecting the appropriate unit to
measure volume.

Deriving and using the formula
V = L x W x H for rectangular prisms
and/or cuboid.

Using estimated lengths of sides of
regular solids to estimate volume based
on the formula.

Finding volume of irregular objects by
displacement..

Identifying and illustrating 8 main points
of a compass:

Showing
1 1 3
, ,
and one revolution
4 2 4
in terms of right angles.

Determining whether an angle lies
between 0 and 1, 1 and 2, 2 and 3, or 3
and 4 right angles.
containers.
Pairs of compasses,
diagrams showing direction or
compass points,
rims of bicycles,
tyres,
protractors.
Newsprint, circles, rectangles,
squares, triangles, manila,
letters of the alphabet, regular
polygons.
GRADE 6
CONCEPT
Shapes
Parts of a circle.
OBJECTIVES
Pupils will be able to:
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS

distinguish 2 dimensional from 3
dimensional shapes;

Plane shapes,
solid shapes

classify shapes according to their
properties;

identify shapes in a composite shape.
Identifying and drawing representations
of cylinders, cubes, rectangular prisms,
squares, rectangles, right-angled
triangles, isosceles triangles, equilateral
triangles, scalene triangles, circles,
spheres, triangular prisms and cones
and recognizing any four sided plane
figure as A quadrilateral.

Listing properties of plane and solid
shapes.

Identifying flat surfaces and curved
surfaces, edges, corners or vertices and
sides of shapes.

Identifying the radius, the diameter,
circumference and an area of a
circle.

draw and state the number of lines
of symmetry for different shapes.
Symmetry
22

Identifying shapes in composite
figures and objects.

Identifying the radius, the diameter,
circumference and an area of a
circle.

illustrating axes of mirror symmetry
for squares, triangles; rectangles,
circles and relevant combinations
Atlas
GRADE 6
GRADE 6 / TOPIC : RELATIONSHIPS
CONCEPT
OBJECTIVES
SUGGESTED ACTIVITIES
SUGGESTED MATERIALS
Data handling
Pupils will be able to:
 read and extract information from tables
and graphs;

Reading and extracting information from
tables and graphs.


Collecting, presenting and discussing
data.
charts
timetables
distance tables
graph paper
fare tables.

Drawing graphs such as vertical or
horizontal bar graphs and straight line
graphs from given information.

Interpreting information on diagrams
accurately.
draw and interpret graphs.
23
GRADE 6