Maths Syllabus 2022

General Outcomes Key Competences at Grade 3 Level

 Develop numeracy and arithmetic operations skills

 Enable learner represent, interpret and use data in a variety of forms.
 Enrich learners’ understanding of mathematical concepts on numbers, shapes and
diagrams.
 Describe and list members of a given set.
 Add and subtract numbers vertically up to 100 000 (by regrouping).
 Multiply and divide one number by another (Long division and multiplication).
 Generate number sequence after establishing rule (using the four operations).
 Order numbers and appropriately use the symbols >, <, = and ≠.
 Use rule to measure length and width of given shapes and objects.
 Tell time on a 24 hour analogue clock to quarter of an hour
 Read and translate a calendar.
 Acquire an understanding of the concept of fractions.
 Add and subtract fractions with a common denominator
GRADE 3
TOPIC SPECIFIC CONTENT
OUTCOMES KNOWLEDGE SKILLS VALUES

SETS Describe a set by Sets and notation. Communicatio Teamwork

listing its Listing members of a n through
members. set. of set notation cooperative
Recognize and use the Set symbols: "=" through learning.
symbols “=” equal to, equal to, “≠" symbolization. Awareness
“≠” not equal to. ( Also Application of of
not equal to. recap on the concept of set notation
member of, " " not sets in real life. or
a symbolisati
member of, "{ }" on.
braces).
Applying sets in real
life
situations.
NUMBER Reading and writing Communicatio Accuracy in
S AND Read and write numbers up n through recognizing
NOTATIO numbers up to 1 000 to 1 000 000 (draw writing. and reading.
N 000. attention of Presentation
Express a number in learners to the of numbers in Application
expanded notation. number structure or expanded of
repetition i.e. 1, 10, notation. numeration
100, in
1000, 10000 . . . ). real life.
Expressing numbers
in
expanded notation.
ADDITIO Addition of whole Addition of up
N Add whole numbers numbers with to Awareness
with sums up to 100 000 five digit of
sums up to 100 000. by numbers using the role of
Carry out addition of regrouping the concept of place
numbers in real life (Expanded notation). 10, values in
situations. Addition of whole 100, 1000 and addition.
numbers with 10000 as a Accuracy in
sums up to 100 000 unit. computation
without Application of s
regrouping. addition in real
Adding whole life.
numbers by using
number trees,
number wheels
and magic squares.
Applying addition of
numbers in
real life situations
(e.g. money,
number of items,
Lengths).

SUBTRAC Subtract whole Subtraction of whole Subtraction of Accuracy in

TION numbers up numbers up computation
to 100 000. up to 100 000 by to five digit s.
Carry out subtraction regrouping. numbers using Teamwork
and (Vertical subtraction, the concept of through
addition in real life expanded 10, cooperative
situation. notation). 100, 1000 and learning.
Subtraction of whole 10000 as a
numbers unit.
 up to 100 000 Application of
without subtraction and
regrouping. (Vertical addition to
subtraction). money.
Subtracting whole Relating
numbers subtraction to
using number trees, addition.
number
wheels and magic
squares.
Applying subtraction
and
addition in real life
situations
(e.g. money, number
of items,
Lengths).

MULTIPL Multiply two and three Multiplying two and Multiplication Appreciatio
ICATION digit three digit of n of
numbers by a single numbers by a single two and three the use of
digit digit digit by single multiplicati
number vertically. number using digit numbers. on
Apply multiplication vertical Accuracy in in real life.
in real multiplication. computations. Teamwork
life situation. Applying Application of through
multiplication in place values. cooperative
problems involving learning.
money.

DIVISION Divide two and three Dividing single and Division of Awareness
digit two-digit two of
numbers by single numbers by single and three digit the concept
digit digit numbers by of
number using Long WITH single digit remainder.
division REMAINDERS. numbers. Teamwork
(with remainders). Dividing two and Accuracy in through
Demonstrate three digit computations. cooperative
multiplication numbers by single learning.
digit number
 and division skills in WITH Identification
real REMAINDERS of
life situations. using the long
Long division. division
Long division symbol.
Applying Application of
multiplication and division to real
division in real life life.
situations
involving money.
NUMBER Order numbers using Using mathematical Analysis to Appreciatio
PATTERN mathematical symbols symbols determine n
S ">", ">", "<", "=" and “≠" magnitude. for
"<", "=" and “≠". to order systematic
numbers. arrangement
.
FRACTIO Identify and represent Identifying proper Identification Appreciatio
NS proper fractions as fractions as of n of
equal equal parts of a proper the concept
parts of a whole. whole (Utilize fractions. of
Draw and shade proper concrete and semi Addition and proper
fractions. concrete subtraction of fractions.
Add and subtract objects as much as proper Accuracy in
proper possible). fractions. adding and
fractions with common Names of parts subtracting
denominator. (denominator, Representatio proper
Apply proper fractions numerator, division n fractions
in real life situations. line). of proper
etc.). Common fractions. fractions as
(Half, one equal
quarter, three parts of a
quarters, one third, whole in real
two thirds, one fifth, life.
one tenth etc.).
Drawing and shading
proper
fractions.
Adding and
subtracting proper
fractions having a
common
denominator.
Fractions in real life
situations
(e.g. liquids, paper
folding).
MEASUR Tell time at specified Telling time to half, Telling time at Accuracy in
ES intervals. quarter of specified telling time.
Read and use the an hour and five intervals.
calendar. minute Reading and Appreciatio
Describe the unit for intervals (using the use n of
measuring long 24 hour the calendar. standard
distances clock). Describe the units in
(Km). Calendar. standard unit measures.
Describe mass and the Standard unit for for
standard units for its measuring measuring
measure. long distances (Km) distance, mass
Describe capacity and Describing mass. and capacity.
the Standard units for
standard units for its measuring
measure. mass (grammes,
Kilogrammes)
Describing capacity.
Standard units for
measuring
capacity (litres,
milliliters).
STATISTI Collect and present Data collection Presentation Interest in
CS ungrouped data on a methods. of collecting
frequency table. Data ungrouped data.
presentation(Frequen data Appreciatio
cy on a frequency n of
table) table involving table. presenting
use of Interpretation data
tally marks(Including of on a
bundling frequency frequency
fives). tables table.
RELATIO Draw Arrow diagrams Relations and Matching of Creativity
NS & to mappings oneto- of
MAPPING illustrate one-to-one (involving “Times 2 one mapping drawing
S mappings plus 1 etc” using arrow arrow
Whole numbers in diagrams. diagrams.
range should Interpretation Awareness
not exceed 100 000. of one-to-one of
Applying relations mapping. one-one
and mappings in real mapping.
life situations
(Should be related to
proportion,
number patterns and
graphs).
PLANE Identify right angled Identifying right Drawing Curiosity in
SHAPES triangle by folding angled triangle rightangled making
rectangular and by folding triangle. different
squared rectangular and right
paper. squared paper. angled
Draw right angled Drawing right angled triangles
triangle triangle on using
on squared paper squared paper squared
paper.
Maths Syllabus 2022

General Outcomes Key Competences at Grade 5Level

 Develop numeracy and arithmetic operations
 skills.
 Enable learner represent, interpret and use data
 in a variety of forms.
 Enrich learners’ understanding of
 mathematical concepts on numbers, shapes and
 diagrams.
 Use the symbols “=”, “∈”, “∉”, “ ” and “{ }” appropriately in set notation.
 Apply the four operations to resolve practical problems with numbers up to
 1 000 000.
 Solve practical problems dealing with measurement of length and convert
 between units.
 Calculate area of squares and triangles.
 Apply fractions in resolving real life problems.

GRADE 5
TOPIC SPECIFIC CONTENT
OUTCOMES KNOWLEDGE SKILLS VALUES

NUMBER Identify Roman Identifying the Identification Accuracy in

S& numeration roman of recognizing
NOTATIO system. numeration system. Roman and and
N Convert numerals from Converting Arabic to Arabic reading
Arabic Roman numeration. numbers.
to Roman numeration numeration and vice Communicatio Awareness
and vice versa. n of
versa. Ordering Roman through similarities
Order Roman numerals numerals writing and
(either ascending or both Roman differences
descending order). and in
Arabic Arabic and
numerals. Roman
Ordering numeration
Roman systems.
and Arabic
numerals.
ADDITIO Add whole numbers Addition on the Addition using Awareness
N using the number line. the of
number line. Addition using the number line. addition on
Apply addition using number Application of the
the line to solve addition in real number
number line to solve problems in real life. line.
problems life situations. (To Accuracy in
in real life situations. be computation
connected to the s.
addition of
integers).
SUBTRAC Subtract whole Subtraction on the Subtraction Awareness
TION numbers using number using of
a number line. line. the number subtraction
Apply subtraction and Subtraction and line. on
addition addition Application of the number
using the number line using the number addition and line.
to solve line to solve subtraction in Accuracy in
problems in real life problems in real life real computation
situations situations (To be life. s.
connected to
the addition of
integers).
COMBINE Perform combined Combined Computation Awareness
D operations. operations or order in the of
OPERATI Apply the of operations – correct order. order of
ONS commutative, BODMAS Application of operations.
associative and (related to real life the Accuracy in
distributive problems four operations computation
laws to four basic i.e. length, mass, in s.
mathematical temperature, real life.
operations. capacity and time).
Applying the
commutative,
associative and
distributive
laws to four basic
mathematical
operations
SETS List all sub sets of a Proper and improper Identification Awareness
given set. subsets of of
Describe sets of (For sets with up to 4 proper and usefulness
numbers. elements). improper of
Describe subset in a Sets of numbers subsets. Venn
Venn (Natural, Representatio diagrams.
diagram. n of
 Whole, Even, Odd, subsets within Curiosity in
Prime and Venn diagram. the
Composite). Description of usage of
Subsets in Venn sets Venn
diagrams. of numbers. diagrams.
FACTORS Identify equivalent Identifying Identification Appreciatio
AND fractions equivalent of n of
MULTIPL by multiplying or fraction by equivalent Reduction
ES dividing the multiplying or fractions. of
same number with dividing the same Addition and fractions.
numerator number subtraction of Awareness
and denominator. with numerator and fractions with of
Express fractions with denominator. different importance
different denominators Expressing fractions denominators. of
to the with factors and
same denominator. different multiples to
Add and subtract denominators to the fractions.
proper, same denominator.
improper and mixed Addition and
fractions subtraction of
with different fractions with
denominators. different
Apply knowledge of denominators.
fractions Fractions in real life
to solve problems in situations.
real life
situations.
DECIMAL Relate common Relating common Identification Appreciatio
S fractions to fractions to of n of
decimals. decimals up to 2 decimal relationship
Describe decimal decimal numbers. between
numbers by places Accuracy in common
their names (up to 2 (i.e. = 0.1, = 0.01) Computation fractions
decimal Understanding the of and
places). concept of problems decimal
Add and subtract decimals. involving numbers.
decimal Decimal numbers decimal Curiosity in
numbers. and their place numbers. decimal
Multiply decimal values (names for Application of numbers
numbers by 0.1, decimal and their
whole numbers. 0.01 i.e. tenths, numbers in use.
Divide decimal hundredths) real life.
numbers by (note: presentation
whole numbers (up to of decimal
2 numbers on the
number line
 decimal places could aid
WITHOUT understanding).
REMAINDER). Adding and
Apply decimals to subtracting
solve decimals numbers up
problems in real life to 2
situations. decimal places.
Multiplying and
dividing
decimal numbers
with one or
two digits.
Decimals in real life
situations (e.g.
problems
involving money-
Kwacha
and ngwee,
temperature and
other measures).
SOCIAL Prepare simple Budgeting. Preparation Accuracy
AND household bills Ready-reckoner. of reading
COMMER (budgeting). Meter reading (water simple ready
CIAL Apply simple ready- and household reckoners,
ARITHME reckoners electricity bills). bills. water
TIC Read and interpret Application and
water and and of electricity
electricity bills. Ready- bills.
reckoner. Curiosity
Interpretation using
of ready
water and reckoners.
electricity
bills.
PLANE Identify and draw Identifying and Drawing Appreciatio
SHAPES perpendicular and drawing perpendicular n in
parallel perpendicular and and drawing
lines. parallel parallel lines. plane
Describe trapezium, lines using set Drawing shapes.
rhombus squares. trapezium, Curiosity in
and parallelogram. Describing rhombus and drawing
Draw trapezium, trapezium, parallelogram. circles
rhombus and rhombus and Using and
parallelogram. parallelogram. handling pair
Identify the uses of a Drawing trapezium, of compasses.
pair of and set squares
 Compasses rhombus and appropriately.
Use a pair of compass parallelogram.
to draw Identifying the uses
a circle. of a pair of
Identify centre, compasses.
diameter and Using a pair of
radius of a circle. compass to
draw a circle.
Identifying centre,
diameter
and radius of a
circle.
SOLID Identify face, vertex Identifying face, Identification Curiosity of
SHAPES and edges vertex and of different
of cuboids and cubes. edges on cuboids face, vertex types
Draw nets of cuboids and cubes and of net from
and (by observing edges of one
cubes. concrete/semiconcret cuboids cuboid or
Draw/sketch cuboid e and cubes. cube.
and cube. objects). Drawing of Appreciatio
Number of vertices, nets of n in
edges cuboids and drawing
and faces of cuboid cubes. plane
and Drawing/sketc shapes.
cubes. hin Curiosity in
Describing a net of a g of cuboid drawing
cuboid and circles.
and cube. cube.
Drawing nets of
cuboids and
cubes by unfolding
them.
Drawing/sketching
cuboid
and cube.
MEASUR Find the perimeter of Finding perimeter of Calculation of Curiosity of
ES triangle, triangle, perimeter of deriving
parallelograms, parallelograms, plane formula
trapezium, trapezium, shapes. for finding
rhombus and rhombus and Computation area.
composite composite of Awareness
shapes. shapes. area of plane of
Derive formula for area Deriving formulae shapes. volume of
of for area of Identification solids
triangle, triangle, of and
parallelograms, parallelograms, volume and capacity
 trapezium and trapezium and formulae for
rhombus. rhombus. finding it.
Calculate areas of Calculating areas of
triangle, triangle,
parallelograms, parallelograms,
trapezium, trapezium,
rhombus and rhombus and
composite composite
shapes. shapes.
Describe volume Describing and using
Use standard units to standard units to
measure measure
volume (cm3, m3). volume (cm3, m3).
Relate volume to Relating volume to
capacity capacity
Derive the formulae for (cm3, m3,
finding Milliliters, litres).
volume. Formulae for finding
Calculate the volume volume.
of cubes Deriving the
and cuboids. formulae for
volume (Cube and
cuboid).
Calculating the
volume of
cubes and cuboids.
STATISTI Understand stem-leaf Understanding of Interpretation Teamwork
CS plot and stem-leaf of in
on a bar graph. plot and on a bar graphs. collecting
Collect and present graph. Representatio data.
data on a Data collection and n of Appreciatio
stem-leaf plot and on a presentation (on a data bar graph. n of
bar stem-leaf presenting
graph. plot , and on a bar data in
graph). graphs
RELATIO Illustrate a one-to- One-to-many and Identification Appreciatio
NS many and many-toone oneto- n of
AND many-to-one relations. relations (involving many and one-to-
MAPPING Apply knowledge of “is a manyto- many and
S relations factor of”, “is a one relations. many-to-
and mappings in real multiple of”, Application of one
life etc) Domain: whole relations and relations.
situations. numbers mappings.
up to 100 000.
Relations and
mappings
Maths Syllabus 2022

General Outcomes Key Competences at Grade 6 Level

 Develop algebraic, geometry and arithmetic skills
 in mathematics.
 Enrich learners’ understanding of mathematical
 concepts on shapes and diagrams.
 Solve mathematical challenges in everyday life
 through problem solving.
 Convert numerals from Arabic to Roman numeration and vice versa.
 Order both Arabic and Roman numerals in terms of magnitude.
 Carry out combined operations observing the order of operations.
 Apply factors and multiples to solve real life problems.
 Add and subtract fractions with different denominators.
 Solve problems involving length, capacity and mass.
 Multiply fractions by whole numbers.
 Divide whole numbers by fractions and vice versa.
 Convert common fractions into decimals and vice versa.
 Solve problems involving percentages.
 Present data on a stem-leaf plot and on a bar graph.
GRADE 6
TOPIC SPECIFIC CONTENT
OUTCOMES KNOWLEDGE SKILLS VALUES

INDEX Describe index Describing Index Interpretation Awareness

NOTATIO notation. notation of of index
N Change a number in as the repetition of the meaning of notation.
index multiplication of index notation.
form to expanded numbers Computation
notation with the same base of
and vice versa. (2x2x2 numbers in
Evaluate numbers in = 23). index
index Expanded notation notation.
notation with positive with
bases and indices. positive bases and
powers
ranging from 1 to 5.
Evaluating numbers
in
 index notation with
positive
bases and indices.
SETS Describe the The intersection Interpretation Appreciatio
intersection, (includes of n of
union in a Venn the set within a set- intersection relationship
diagram. subset and between
Use symbols of and disjoint sets) and union sets. listing and
intersection "∩", union union set in a Venn Communicatio the formula
"U" (and subset “ ” as diagrams. n method of
recap). Intersection, union through the use finding
Find number of subsets sets and of subsets.
of subset including. correct Awareness
a given set using the Symbolisation intersection of the
formula 2n. (intersection and subset
Apply the knowledge "∩", union "U" (and union symbols. computation
of subset Illustration of method.
sets in real life “ ” as recap). intersection
situations Subsets of a given and
set by union on a
listing and using the Venn
formula 2n. diagram.
Applying the Computation
knowledge of of
sets in real life subsets in
situations given
(i.e. intersection, set.
union, and
subset).
PRIME Describe and list prime Prime and composite Identification Curiosity in
FACTORS and composite numbers. of exploring
numbers. Prime factors of prime factors. prime
Identify prime factors given factors
of numbers. Representatio
given numbers. Express a number as n
a of a number as
product of its prime a
factors. product of its
prime factors
FRACTIO Multiply fractions by Understanding the Multiplication Accuracy in
NS whole numbers. concept and Division multiplicati
Multiply a fraction by of multiplication of of on and
another fraction. fractions. fractions. division of
Divide fractions by Multiplying fractions Application of fractions.
whole by multiplication
numbers. whole numbers. and division of
 Divide whole numbers Multiplying a fractions in
by fraction by real
fractions. another fraction. life.
Divide a fraction by Understanding the
another fraction. concept
Apply fractions to of division of
solve fractions.
problems in real life. Dividing fractions
by
whole numbers.
Dividing whole
numbers
by fractions
Dividing a fraction
by
another fraction.
Applying
multiplication
and division of
fractions
to solve problems in
real
life.
Describe decimal Describing decimal Accuracy in Curiosity in
DECIMAL numbers numbers by their Computation decimal
S by their names (up to 3 names (up of numbers
decimal places). to 3 decimal places). problems and their
Add and subtract Adding and involving use.
decimal subtracting decimal Team work
numbers up to 3 decimal numbers up numbers. through
decimal to 3 Problem cooperative
places. decimal places. solving learning.
Multiply decimal Multiplication and in real life
numbers division situations.
by decimal numbers. of decimals up to 3
Divide decimal decimal
numbers places.
by decimal numbers
(up to
3 decimal places
(INCLUDING
REMAINDER).
APPROXIMA Round off to the Rounding off to the Estimation of Decision-
TION nearest nearest quantities in making in
unit. ten, hundred and real approximati
thousand life. ng
 Round off to the Rounding off to the Application of quantities.
nearest given rounding off in Team work
decimal places. decimal places (1, 2 real life. through
Solve simple problems and 3 cooperative
involving rounding off decimal places). learning
quantities to required Applying
number of decimal approximation in
places. real life situations
involving
rounding off to
required
number of decimal
places.
Relating
approximation
with measurements.
RATIO Describe ratio and Describing ratio and Interpretation Team work
AND direct direct of through
PROPORT proportion. proportion. the meaning of cooperative
ION Differentiate between Relating ratio and proportional learning
ratio and direct direct parts.
proportion. proportion with Computation
Express a given ratio in number of Accuracy in
its patterns, relations problems computation
lowest term. and involving ratio s.
Solve problems mappings. and direct
involving Relationship proportion.
ratio and direct between ratio Application of
proportion. and direct ratio and
proportion. proportion in
Reduction of ratio to solving real
lowest life
term. problems.
Unitary and
proportional
methods.
Real life problems
involving direct
proportion
(e.g. exchange rates,
measures).
SOCIAL Describe cost price, Cost price (CP) and Computation Teamwork
AND selling Selling of and roleplay
COMMER price, profit and loss. price. cost price, in selling
CIAL Calculate cost price, Profit and loss. selling and
selling buying.
ARITHME price, profit and loss. Calculations price, profit Decision
TIC Calculate simple involving cost and making in
interest, price, selling price, loss, and entrepreneu
discount, and profit profit simple rship.
and loss and loss in real life interest. Awareness
percentage. situations. Application in of profit
Carry out calculations Time tabling in transportation, and lose in
involving transportation, Fare entrepreneursh real life
transportation. chart ip situations.
(Bus, train, marine and banks.
and air). Interpretation
Distance charts of
(ready transportation
reckoner). charts.
STATISTI Describe averages or Averages or Interpretation Problem
CS measures of central measures of of solving real
tendency. central tendency measures of life
Solve problems (Mean, central situations.
involving mode and median). tendency.
averages. Problems involving Computation
averages. of
average or
mean.
Analysis of
measures to
find
mode and
median.
LINEAR Describe an open Open sentences. Interpretation Appreciatio
EQUATIO sentences. Linear equations in of n of linear
NS IN Solve linear equations one open equations in
ONE in variable. sentences. solving
VARIABL one variable. Applying linear Representatio problems.
E equations n of Accuracy in
in one variable in problems into solving
real life linear linear
situations. equations equations.
in one
variable.
Solving linear
equations in
one
variable.
PLANE Identify regular Identifying regular Identification Appreciatio
SHAPES polygons polygons up to six of n of
up to six sides. sides.
 Draw pentagon and Drawing pentagon regular constructing
hexagon. and polygons shapes.
hexagon using set up to six sides. Accuracy in
square, Construction constructing
protractor and of plane
compass. pentagon and shapes.
hexagon.
MEASUR Find the total length of Faces, vertices and Computation Interest of
EMENT edges of cube and edges of of calculations
cuboid. solids. total surface of surface
Find the total surface Total length of edges area area.
area of of cube and Awareness
of cube and cuboid. cube and cuboid. cuboid. of speed
Describe the meaning Total surface area of Interpretation related to
of cube of distance and
speed. and cuboid. speed. time.
Calculate speed using Meaning of speed (at Computation
distance and time. this of
level avoid use of speed using
average distance and
speed). time.
Calculating speed
using
distance and time.
Calculating distance
using
speed and time.
Calculating time
using
speed and distance
(refer to
the relationship
between
division and
multiplication
i.e. s x t = d or t = d÷
s or s
= d÷ t).
Maths Syllabus 2022

General Outcomes Key Competences at Grade 7 Level

 Develop algebraic, geometry and arithmetic skills
 in mathematics.
 Enrich learners’ understanding of mathematical
 concepts on shapes and diagrams.
 Solve mathematical challenges in everyday life
 through problem solving.
 Convert numerals from Arabic to Roman numeration and vice versa.
 Order both Arabic and Roman numerals in terms of magnitude.
 Carry out combined operations observing the order of operations.
 Apply factors and multiples to solve real life problems.
 Add and subtract fractions with different denominators.
 Solve problems involving length, capacity and mass.
 Multiply fractions by whole numbers.
 Divide whole numbers by fractions and vice versa.
 Convert common fractions into decimals and vice versa.
 Solve problems involving percentages.
 Present data on a stem-leaf plot and on a bar graph.

GRADE 7
TOPIC SPECIFIC CONTENT
OUTCOMES KNOWLEDGE SKILLS VALUES

FRACTIO Solve problems Addition and Application of Awareness

NS involving subtraction of fractions to of the
addition, subtraction, fractions. practical four
multiplication and Multiplication and problems. operations
division of fractions (as division of as
recap). fractions. they relate
Practical problems to
involving fractions.
four rules on
fractions.
DECIMAL Solve problems Addition, Conversion Accuracy in
S involving subtraction, from
 addition, subtraction, multiplication and fractions to operating
multiplication and division of decimals. on
division of decimal (as decimals up to 4 Computation fractions.
recap). decimal involving Appreciatio
Convert common places. decimals. n of the
fractions Conversions of Ordering relationship
to decimals and vice fractions to fractions and between
versa. decimals and vice decimals. decimals
Order Fractions and versa. and
decimals Ordering vulgar and common
decimal fractions fractions.
(either descending
or ascending order).
Using the symbols
(>, <, = ) in
comparing
fractions.
PERCENT Describe a percentage. Percentage (as Computation Awareness
AGES Convert decimals to fraction of of of
percentages and vice hundred). percentage, importance
versa. Converting decimals decimals and of
Convert common to fractions. percentage,
fractions percentages and vice Application of fractions
to percentages and vice versa. percentage, and
versa. Conversion of decimals and decimals in
Solve problems common fractions in real life.
involving fractions to real Curiosity in
percentages. percentages and life. working
Relate fractions, vice versa. Conversion with
decimals Problems involving between percentages,
and percentages to real addition, fractions, decimals
life subtraction, percentages and
situations. multiplication and fractions in
and division of decimals. real life.
percentages. Team work
Fractions, decimals through
and cooperative
percentages in real learning.
life.
RATIO Solve problems Direct proportion (as Interpretation Curiosity in
AND involving recap). of the use
PROPORT direct proportion (as Describing indirect the meaning of of graphs.
ION recap). proportion. indirect Team work
Describe indirect Indirect proportions proportion. through
proportion. using the Computation cooperative
of learning.
 Solve problems fraction and problems Accuracy in
involving proportional involving computation
indirect proportion. methods. indirect s.
7.4.4 Draw graphs to Drawing graphs to proportion.
illustrate illustrate Representatio
quantities in direct and quantities in direct n of
indirect proportion. and indirect quantities in
proportion. indirect
Problems involving proportion.
ratio and Application of
proportion in real direct and
life situation. indirect
proportion in
solving real
life
problems.
SOCIAL Conversion of Buying and selling Computation Appreciatio
& currencies. of foreign of n of
COMMER Calculate the cost of currency. buying and conversions
CIAL goods Conversion of selling of of
ARITHME priced in foreign currencies foreign currency.
TIC currency. (from local to currency. Honesty.
foreign Entrepreneurs Assertivene
currency and vice hi ss in
versa). p involving conversions
cost of
of goods currency.
priced
in foreign
currency.
INTEGER Understand integers. Understanding Representatio Appreciatio
S Illustrate positive and positive and n of n of
negative numbers negative numbers. integers on the calculations
using Relating integers number line. using
the number line. with Accuracy of the number
Order integers. addition and addition and line.
Add integers. subtraction of subtraction of Awareness
Subtract integers. whole numbers integers. of
using number ordering of
line. integers.
Illustrating positive
and
negative numbers on
the
number line.
Ordering integers
 Addition of integers
using
the number line.
Addition of integers
without
using the number
line.
Subtraction of
integers using
the number line.
Subtraction of
integers
without using the
number
line.
Relating Integers to
real life
situations (e.g. profit
and
NUMBER Illustrate base ten Base ten numeration Representatio conversions
BASES numeration system. (place n of of
Describe other number values). numbers to bases.
bases. Numeration in other other Logical
Convert from Base 10 bases (2, numeration thinking in
to 5 and 8). systems. conversions
Bases 2, 5 and 8. Conversion from Conversions .
Convert from Bases 2, Base 10 to of
5 Bases 2, 5 and 8 and bases from one
and 8 to Base 10. vice base to the
Convert from base 2 to versa. other.
base 5 and vice versa. Conversion from Addition and
Add and subtract in base 2 to subtraction of
Bases base 5 and vice number bases
2, 5 and 8. versa.
Addition and
subtraction of
numbers in Bases 2,
5 and 8.
NUMBER Describe perfect Square and squared Identification Accuracy.
AND squares. whole of Prediction
SEQUENC Find squares of whole numbers. squared and of a
ES numbers. Cubes and Cubed cubed series or
Describe cubes. whole numbers. sequence.
Find cubes of whole numbers. Computation Appreciatio
numbers. Triangular whole of n of
numbers. squared and
 Generate a sequence in Identification of cubed whole Fibonacci
a sequences. numbers. series
decreasing and Generating a rule Generation of
increasing from given sequence and
order. sequence and vice series.
Generate series. versa.
Generation of series
(use
ideas such as
Fibonacci
series).
INEQUAT Describe an open Open sentences. Representatio Appreciatio
IONS sentence. Simple linear n of n of
Solve simple linear inequations in an open linear
inequations in one one variable. sentence. equations.
variable. Show the solutions Computation Awareness
on the of of open
number line simple linear sentences.
inequations in
one
variable.
PLANE Describe line Describing line Identification Curiosity of
SHAPES symmetry. symmetry of finding
Draw lines of through line of lines of
symmetry demonstration (paper symmetry. symmetry.
of plane shape. folding). Interpretation Awareness
Establish the Completing of elationship ofrelationsh
relationship symmetrical between ip
between circumference shapes (folded along diameter between
and diameter. line of and diameter
symmetry). circumference. and
Drawing lines of circumferen
symmetry ce.
of plane shape (e.g. Teamwork
square, in
rectangle, circle). finding
Establishing the relationship
relationship between
between diameter
circumference and and
diameter (using circumferen
experiment ce.
with cylindrical
objects)
[constant pi ( =
3.14)].
MEASUR Calculate Circumference, Computation Curiosity in
EMENT circumference, using radius of establishing
using radius or or diameter of the circumference the
diameter of circle and formula of
the circle. [constant pi ( = area of circle. area of
Calculate the area of a 3.14)]. circle.
circle. Establishing the
formula for
the area of circle (by
demonstration).
Calculating the area
of a
circle [constant pi (
=
3.14)].
SOLID Identify a cylinder and Identifying a Identification Curiosity if
SHAPES triangular prism. cylinder and of drawing
Draw nets of cylinder triangular prism. cylinder and nets of
and Drawing of nets of triangular cylinders
triangular prism. cylinder prism. and prisms.
Draw/sketch cylinder and triangular prism. Drawing Appreciatio
and Draw/sketch cylinders n of
triangular prism. cylinder and and prisms and drawing of
triangular prism. their nets. cylinders
and
prisms.
STATISTI Interpret data on charts Data Interpretation. Interpretation Accuracy in
CS (pie chart, line graph, Data collection. of the
bar/ Data presentation on data in a charts computation
line graph, frequency pictograph, pie chart, and of
table). bar graphs. Mean,
Collect and present chart, line graph and Presentation Mode and
data frequency tables of Median.
on a pictograph, pie presentation. data in a charts Logical
chart, Mean, Mode, and thinking in
bar chart, line graph Median as graphs. the
and applied in real life Computation application
frequency tables. situations. of of
Calculate Mean, Mode Averages as applied Mean, Mode averages in
and Median. to mass, and measures.
Calculate averages as money, time, Median.
applied to mass, temperature
money, and speed.
time, temperature and
speed.