MINISTRY OF EDUCATION, SPORT AND CULTURE PRIMARY SCHOOL MATHEMATICS SYLLABUS GRADES 4 - 5 FIRST EXAMINATION 2008 - Curriculum Development Unit P ...
←
→
Page content transcription
If your browser does not render page correctly, please read the page content below
MINISTRY OF EDUCATION, SPORT AND CULTURE
PRIMARY SCHOOL MATHEMATICS SYLLABUS
GRADES 4 – 5
FIRST EXAMINATION 2008
Curriculum Development Unit
P. O. Box MP 133
Mount Pleasant
HARARE
All Rights Reserved 2006ACKNOWLEDGEMENTS
The Ministry of Education, Sport and Culture wishes to acknowledge the following for their valued contribution towards the production of
this syllabus:
The National Primary Mathematics Syllabus Panel for their professional and technical support;
The Curriculum Development Unit for the finalisation of this syllabus;
The support staff at Education Services Centre for providing essential services.
1CONTENT
TOPIC PAGE
Acknowledgement 1
Preamble 3
Aims 3
Assessment objectives 4
Scheme of Assessment 4
Methodology and Time Allocation 5
Presentation of the Syllabus 5
Scope and Sequence Chart 6
Grade 4: Topics 8-20
Grade 5: Topics 21-34
21.0 PREAMBLE
The syllabus is designed to cover the fourth and fifth years Mathematics which culminates in the grade seven examination. It provides a basic foundation for
mathematics to be used in everyday life, secondary school and further studies. The syllabus also provides a grade by grade progression in each study area.
Although the objectives are organised on a grade by grade basis, no rigid treatment is intended. There should be no attempt to rush the class for the sake of
completing all the listed objectives for the grade. The pace should be determined by the needs of the class, assuming that all the pupils in the class are being
encouraged to work as hard as possible.
It should not be assumed that all the pupils understand all the work previously taught. It is important to check that pupils have the necessary prerequisites for
any work before proceeding by using national diagnostic tests, (1998) copies which are in each school.
2.0 AIMS
The syllabus aims to help pupils to:
2.1 be literate and numerate;
2.2 understand, use and communicate mathematical information;
2.3 acquire mathematical concepts and skills for use as tools in study, work, leisure and everyday transactions;
2.4 develop sound mathematical skills that will enable them to interact more meaningfully with their environment;
2.5 develop a positive attitude towards Mathematics;
2.6 think and express themselves clearly and logically;
2.7 develop attributes of co-operation, confidence, honesty, neatness, self-reliance and perseverance through appropriately challenging mathematically related
tasks;
2.8 develop an inquiring mind through experimentation;
2.9 prepare for present and further studies in Mathematics and related subjects; and
2.10 grow intellectually.
33.0 ASSESSMENT OBJECTIVES
Pupils will be assessed on their ability to:
3.1 recall, recognise and use mathematical symbols, terms and definitions;
3.2 carry out calculations accurately, checking the correctness of the solution;
3.3 estimate, approximate and use appropriate degrees of accuracy;
3.4 read, interpret and use tables, charts and graphs;
3.5 solve mathematical problems showing steps and necessary information;
3.6 choose and use appropriate formulae and/or algorithms to solve problem and
3.7 interpret and apply Mathematics in life situations
4.0 SCHEME OF ASSESSMENT
Primary School Mathematics will be examined at Grade 7 in two papers as follows:
PAPER DESCRIPTION DURATION MARKS PAPER WEIGHTING
1 50 Multiple Choice Questions 2 hours 50 60%
2 Structured Questions 2 hours 40 40%
PAPER 1: (2 hours) will consist of 50 multiple choice questions all of which must be answered by the candidate.
PAPER 2: (2 hours) will consist of two sections: Section A and Section B. Section A will consist of approximately 10 structured questions. Candidates
must answer all questions. The total for section A is 25 marks. Section B will consist of 5 structured questions each worth 5 marks.
Candidates must choose and answer 3 questions. The total for this/the section is 15 marks.
4.1 SKILLS WEIGHTING
The weighting of the skills to be assessed will be as follows:
Knowledge 16%
Routine manipulation 38%
Understanding and application 36%
Problem solving 10%
45.0 METHODOLOGY AND TIME ALLOCATION
Teaching methods which build interest and confidence in tackling problems are recommended. The following are some of the methods that may be used:
- discovery;
- group work;
- discussion;
- project work;
- problem solving;
- question and answer;
- Demonstration;
It is recommended that mathematics be allocated 2½ hours for grades 1 to 2 and 3 hours for grades 3 to 7 per week.
6.0 PRESENTATION OF THE SYLLABUS
6.1 The Primary Mathematics Syllabus is presented in three separate documents:
Grade 1, 2 and 3
Grade 4 and 5
Grade 6 and 7
6.2 Each of the documents has the same Introductory Section and a Scope and Sequence Chart.
6.3 There are four topics, namely:
Number;
Operations;
Measures;
Relationships (Grades 3-7)
57.0 SCOPE AND SEQUENCE CHART
TOPIC GRADE 1 GRADE 2 GRADE 3 GRADE 4 GRADE 5 GRADE 6 GRADE 7
NUMBER Whole numbers Whole numbers Whole numbers (0 Whole numbers (0 to 10 Whole numbers Whole numbers (0 to 1 Whole numbers (0 to
(0 to 50) (0 to 100) to 1000). 000) (0 to 100 000) place 000 000) place value of 10 000 000)
Ordinal numbers Ordinal numbers from Ordinal numbers Place value of digits value of digits digits Place value of digits
from first to tenth 1st to 20th from first to thirtieth. Comparison and Proper fractions (where Decimals (with up to 6 Roman numerals (0 to
Number line (0 to 50) Quantitativeness of approximation. Place denominators are 2 to digits including up to 3 1 000)
Numerical order Fractions number (cardinal value of any digit.. 10, 20, 50 and 100) decimal places) Decimals (with up to 8
Approximations and - Proper fractions numbers), 0 to 1000. Numeration systems Mixed numbers Proper fractions (where digit including up to 3
estimations (denominators Proper fractions (Arabic and Roman) Numeration systems denominators are 2 to 10 decimal places)
2 and 4) (denominators 2, 4, Proper fractions (Arabic and Roman) and multiples of 5 up to 100 Proper fractions (where
5 and 10). (denominators 2, 10, 20, Decimals (up to 3 inclusive) denominators are 2 to
50 and 100). places) Mixed numbers (where 10 and multiples of 5
Mixed numbers (with Percentages denominators are 2 to 10 up to 1 000 inclusive)
denominators 2 to 10, 20, and multiples of 5 up to 100 Mixed numbers (where
50 and 100) inclusive) denominators are 2 to
Decimals Percentages 10 and multiples of 5
Percentages Numeration systems up to 100 inclusive.)
(Roman numerals from 1 to Percentages
50 then 100, 500 and
1000)
OPERATIONS Addition Addition Addition of whole Addition of whole Addition of whole Addition and subtraction of Revision of addition
Subtraction (0 to 100) numbers (0 to 1000) numbers (0 to 10 000) numbers (involving whole numbers, fractions and subtraction of
Subtraction whose sum is less Multiplication of whole carrying in 4 places and decimals whole numbers,
Multiplication (with that or equal to 1 numbers (0 to 10 000) within the range 0 to 100 (addition and subtraction in decimals and fractions
products less than or 000 Division of whole 000) the range 0 to 100 000 for (within the range 0 to
equal to 100) Subtraction of whole numbers (by one digit Subtraction of whole whole numbers and for 10 000 000)
Division (where the numbers (0 to 1 numbers (0 to 10 000) numbers (0 to 100 000) fractions and mixed Multiplication and
dividend is 50 or less) 000) Addition of proper Multiplication of whole numbers) division of whole
Addition of proper fractions (where numbers (where the Multiplication and division numbers, fractions and
fractions (fractions denominators are the multipliers are two digit of whole numbers, decimals.
with the same same and no more than 3 numbers made of 0, 1, decimals and fractions Processes of finding
denominators 2, 4, 5 terms are involved) 2,3,4 and 5, multiples of Combined operations discount, commission,
and 10) Subtraction of proper 100 up to 1000 within Ratio and scale interest, percentage,
Subtraction of fractions the range 0 to 100 000) hire purchase, sales
proper fractions (two Multiplication of proper Division of whole tax, V.A.T. and
fractions with the fractions (with numbers (to include long proportion
same denominators( denominators from 2 to division by two digit Combined operations
2, 4, 5 and 10) 10 inclusive and 100 as numbers and multiples Ratio and scale
Multiplication of improper fraction and vice of 10 and 100 up to
whole numbers (up versa) 1000 within the range 0 Value added tax
to 10 x 10) Addition of decimals (up to 100 000) (V.A.T.)
Division of whole to two places) Addition and subtraction
numbers Subtraction of decimals of decimals (up to 2
(0 to 1000 by single (up to two places) decimal places)
digits) Multiplication and
Multiplication of division of decimals (by
fractions (with one and two digit whole
6TOPIC GRADE 1 GRADE 2 GRADE 3 GRADE 4 GRADE 5 GRADE 6 GRADE 7
denominators 2, 4, 5 numbers).
and 10.) Addition and subtraction
of fractions (where no
more than three terms
are involved.
Multiplication of fractions
(by whole numbers not
exceeding 10 and the
use of percentages).
MEASURES Money (up to 50 Money (up to $1.00) Money (up to Money Money Money Money
cents) Time $10,00) (up to $100,00) Time Buying, invoicing and Mass
Time Mass Time Time Mass (quantities up to change (units from gram up to
Mass Length Mass Mass 5kg) Time (second to a century) a tonne)
Length Rate Length Length Length Mass Length
Rate Area (up to 100m) (0 to 30cm), (1m to 10m) Rate (units from a gram up to a (Standard units up to a
Volume and capacity Volume and capacity Rate Rate Area tonne) km)
Shapes Shapes Area Area Volume and capacity Length Time
Volume and Volume and capacity Direction, lines and Rate (12 and 24 hour
capacity Direction, angles and angles Area (of rectangles and notation)
Direction, angle and lines Shapes triangles) Rate
lines Shapes Volume and capacity Area (involving square
Shapes Directions, angles and lines metres and hectares,)
-cardinal points area of rectangles,
-angles on horizontal, triangles
vertical and perpendicular Volume and capacity
lines Direction angles and
-geometrical properties of a lines
circle - Cardinal points
-symmetry, - Angles on
Shapes horizontal and
vertical and
perpendicular
lines
Properties of circles,
triangles and
rectangles
Symmetry,
RELATIONSHIPS Data handling Data handling Data handling Data handling Data handling
7GRADE 4
SYLLABUS
GRADE 4GRADE 4 / TOPIC: NUMBER
CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Whole numbers say, read and write numbers in Saying, reading and writing any Abacuses,
numerals and words in the given range; number in numerals or words. number cards,
(0 to 10 000) number square.
use the abacus to represent given Representing numbers on abacuses.
Place value of any digit numbers;
Using zero as a place holder and
use zero as a place holder; relating the value of a digit to its
position.
write given whole numbers in expanded
notation. Reading and writing numbers in
expanded notation.
Whole numbers compare any two numbers using Comparing any two numbers or maize cobs, maize plants,
and = signs; objects/quantities using less than, plantation trees,
(Comparison and approximation) school enrolment records
greater than and equal signs.
arrange numbers in order of size; counters
Ordering numbers in ascending and
approximate by rounding off to nearest descending order.
ten, hundred, thousand;
Approximating quantities by rounding
estimate quantities of given objects. off numbers to the nearest ten,
hundred and thousand.
Estimating with reasonable accuracy
the number of given objects and cross
checking by counting.
Other forms of numeration systems. read and write numbers in Arabic and Converting Arabic into Roman numeral Abacuses,
Roman numerals; and vice-versa. clock face with Roman numerals,
(Arabic and Roman) clock face with Arabic numerals,
convert numbers from Arabic to Roman Matching game using number cards. number cards in Roman numerals.
numerals and vice-versa. number cards of Arabic and Roman
numerals.
9 GRADE 4CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Proper fractions read and write fractions in numerals; Saying, reading and writing fractions in regular shapes that can be divided,
numerals. number lines, fraction charts,
(with denominators 2 to 10, 20, 50 and interpret diagrams representing fraction strips
100.) fractions; Interpreting and using diagrammatic
representations of fractions.
draw, name and shade fractions on
diagrams; Drawing, naming and shading fractions
on diagrams.
use fractions and number strips to find
equivalent fractions;
Matching and sorting fractions by size
using number strips
compare fractions using and =
signs; Drawing charts showing equivalence in
fractions.
arrange fractions in ascending or
descending order. Arranging fractions in order.
Comparing fractions using < ,> and =
signs.
Mixed numbers identify parts of a mixed number; Describing parts of a mixed number. number lines, regular
diagrams of various figures
(with denominators 2 to 10, 20, 50 and say, read and write numerals from Saying, reading and writing in numerals
100) diagrams and vice versa; diagrammatic representations of mixed
numbers.
compare mixed numbers using and
= signs; Comparing mixed numbers using
diagrams.
arrange mixed numbers in ascending or
descending order. Arranging mixed numbers in ascending
and descending order.
10 GRADE 4CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Decimals say, read and write in numerals any Discussing decimal notation, (what Abacuses
given decimals up to two decimal decimals are and giving examples). number lines,
- up to two decimal places places; fraction charts
Relating decimals to proper fractions 100 square grids
relate fractions with denominators 10 with denominators 10 and 100.
and 100 to decimals;
Identifying place value of digits
identify the place value of any digit in represented on the abacus.
decimals;
Writing decimal numbers in expanded
compare decimals using and = notation such as 1,23 = 1+ 0,2 + 0,03
signs;
Comparing any two decimals using and = signs.
arrange decimals in ascending or Arranging decimals in order of size.
descending order;
Rounding off to units and tenths.
round off numbers to units or tenths.
Percentages read and write fractions with Reading and writing fractions with fraction charts
denominator hundred; denominator 100. diagrammatic representations
100 square grids
illustrate percentages diagrammatically;
Drawing diagrams representing
percentages.
use 100 square to express fractions as
percentages.
Using diagrams to represent
percentages
Expressing halves, quarters, fifths and
tenths as percentages.
Using fractional charts and a 100
square to show fractions, then express
as percentages.
11 GRADE 4GRADE 4 / TOPIC : OPERATIONS
CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Addition of whole numbers recall basic addition facts; Recalling addition facts involving two Abacuses,
whole numbers with a sum of up to 20, flash cards,
(0 to 10 000) add within the range including carrying for example, 9+7, 8+5. money,
up to three times. clock faces,
Adding two or three whole numbers abacus diagrams,
involving up to 3- carries counters
Adding given known measures, for
example, money, length, time, volume.
Subtraction of whole numbers recall basic subtraction facts; Recalling subtraction bonds involving Abacuses
two whole numbers. flash cards on basic facts,
subtract where borrowing is involved; clock faces,
Subtracting any two numbers in the counters
subtract measures. range up including borrowing up to
three times.
Subtracting measures for example,
money, length, time, mass and volume.
Multiplication of whole numbers recall basic multiplication facts; Recalling basic multiplication facts.
Rulers,
clocks,
complete given multiplication task; Filling in blanks on multiplication charts
jars,
scales,
such as
counters
multiply where carrying is involved; 394
X 3
multiply known measures by numbers; 18
find factors. Multiplying whole numbers by 1 digit
numbers including carrying up to three
times
12 GRADE 4CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Multiplying number including carrying
For example 1186
x 8
_______
_______
Multiplying measures for example
money, time mass and volume.
Identifying factors of given numbers.
Writing numbers as products of factors.
Division of whole numbers recall basic division facts; Recalling basic division facts mentally. Money, number lines
(by one digit number) rulers
divide whole number by long division Carrying out long division without a
with or without remainder; remainder.
divide measures by whole numbers. Carrying out long division with one-digit
remainders.
Dividing measures by numbers.
Addition of proper fractions add three proper fractions with the Adding proper fractions. Number lines,
same denominator. fraction charts,
(where denominators are the same and fraction diagrams
no more than 3 terms are involved.)
Subtraction of proper fractions subtract proper fractions with the same Subtracting fractions with the same Number lines,
denominators. denominators, for example, fraction charts,
7-5 =2 diagrams
8 8 8
13 GRADE 4CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Multiplication of proper fractions and multiply fractions by whole numbers; Changing improper fractions to mixed Number lines
conversion of mixed numbers numbers. fraction chart
(with denominators from 2 to 10 change mixed numbers to improper percentage square grid
inclusive and 100) fractions and vice versa; Changing mixed numbers to improper
fractions.
express fractions with denominators
100 as percentages. Expressing fractions with denominator
100 as a percentage such as
30 = 30%
100
Multiplying fractions by whole numbers.
Finding fractions of numbers and
measures such as ¾ of $12
Addition of decimals add decimals. Revising place values in decimals. Abacuses
number lines
(up to two places) Adding decimal numbers such as work cards
324,45 counters
+ 128,38
Subtraction of decimals Subtracting decimals such as Abacuses
subtract decimals. 725,68 Number lines
(with up to the two decimal places.) - 316,79 work cards
counters
14 GRADE 4GRADE 4 / TOPIC : MEASURES
CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Money express money in decimal form; Identifying all Zimbabwean coins and Real coins and bank notes
bank notes.
(Money up to $100,00) write money in expanded form; Plastic or card representations of
Listing all Zimbabwean bank notes and money
convert cents to dollars and vice versa. coins.
Discussing characteristics of each coin
and bank note.
Converting dollars to cents and vice-
versa.
Breaking down bank notes and coins
into smaller units.
Writing amounts of money in expanded
notation for example
$3,83 = $3 + 80c + 3c.
Writing amounts of money as
expanded fraction for example
$9,74 = $ (9+70 + 4
100 100
15 GRADE 4CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Time use units of time; Giving times when events occurred. Calendars
Watches
convert time from one unit to another; sun dials
Giving the duration of an event. conversion charts
tell time to the nearest 5 minutes ; clock-faces with Arabic or Roman
Converting units of time numerals.
use a.m. and p.m., noon and midnight from one form to another for Clocks
to tell time. example. 60min = 1hr
14 days = 2 weeks = fortnight
Telling and using number of days in
each month.
Reading time on clock faces to the
nearest 5 mins.
Indicating time on clock faces and
stating the given time.
Using a.m. p.m. noon and midnight to
tell time.
Mass convert kilograms to grams and vice Expressing kilograms as grams and Scales,
versa; vice versa. balances, beam balances,
containers
find the mass of different objects by Finding and comparing masses of
weighing. objects.
16 GRADE 4CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Length measure lengths to the nearest mm, cm Stating and using the conversions: Strings,
or m; Rulers,
(up to 100m.) 10mm = 1cm tape measures,
estimate lengths using spans and 100cm = 1m click wheels, trundle wheels
paces. 1000mm = 1m
Estimating lengths
Finding lengths of objects.
Comparing lengths.
Rate compare two quantities. Distance tables,
Linking two measures correctly to
express rate for example kilometres clock faces.
per hour (km/h)
Area Using non-standard units to estimate Square and rectangular shapes,
find areas of rectangles using the lengths and widths.
formula Area of rectangle = L x W. rubber bands (assorted colours),
Estimating area of squares and string
rectangles by using spans or paces.
Marking square grids in given
rectangles.
Counting and tabulating the number of
squares along the length, width and the
total to establish that L x W = Area of
rectangle.
Using formula to find area of rectangles.
17 GRADE 4CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Volume and capacity convert millilitres to litres and vice Measuring capacity or volume in Graduated containers,
versa; millilitres and litres.
measure volumes and capacities. water
Measuring liquids in litres, ½ litres, ¼
litres and millilitres.
1 - litre containers
Converting millilitres to litres and vice- ½ - litre containers
versa using 1 litre = 1000 millilitres.
¼ - litre containers
Directions, angles and lines indicate North, South, East and West; Indicating N, S, E, W. Compass,
maps
recognise 1, 2, 3 or 4 right angles. Drawing a compass and labelling card strips, diagrams,
cardinal points. rectangular cards,
rulers
Identifying and telling the number of
right angles on the compass.
Drawing diagrams with right angles.
Identifying and naming right angles on
the compass and drawing diagrams
with right angles.
Identifying use of right angles in real life
situations.
Identifying directions of places in
relation to the school.
18 GRADE 4CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Shapes identify different solid and plane Identifying, naming and drawing Shapes,
shapes; representations of cylinders, cubes, scissors,
rectangular prisms, squares, paper,
identifying various shapes in given rectangles, right-angled triangles, paint or crayons
patterns. circles and spheres. brushes
Drawing and colouring shapes to
produce various patterns.
Exploring the environment and
identifying the shapes and patterns.
19 GRADE 4GRADE 4 / TOPIC: RELATIONSHIPS
CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils should be able to:
Data handling Collecting various forms of data, for Calendars,
explain statistical data accurately; example, number of trees in an orchard timetables,
and pupils’ modes of travelling to and charts,
use data to draw bar graphs and from school. bar graphs and
column graphs; column graphs,
Reading information from calendars ready reckoners
read and interpret information from and bus time tables.
given tables and graphs;
Classifying data.
collect and record data.
Using information to draw bar graphs.
Reading and interpreting information
on bar and straight line graphs.
/im
20 GRADE 4GRADE 5 SYLLABUS 21 G
GRADE 5 / TOPIC : NUMBER
CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Whole numbers count forwards and backwards; Saying, reading and writing in Abacuses
numerals and words numbers in the flash cards
Range (0 to 100 000) say, read and write numbers in the range; range. charts
counters
Place value of any digit give values of digits in a given number; Counting forwards and backwards in
tens and hundreds.
arrange numbers in order of size;
Identifying values of given digits in
write sequences; any number such as 6375;3 is
hundreds.
round off to a given degree of accuracy;
Comparing numbers using and
write numbers in expanded notation/form. = signs,
Arranging numbers in order of size.
Designing number sequences.
Rounding off numbers to the
nearest ten, hundred, thousand and
ten thousand.
Estimating numbers of given objects
and checking by counting.
Writing numbers in expanded form
8327 = 8000 + 300 + 20 +7.
22 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
say, write and read fractions with Breaking down wholes into equal Fraction charts
Proper fractions denominators in the given range; work cards
parts and relating them to the whole.
flash cards
(where the denominators are 2 to 10, 20, compare fractions; Comparing fractions using and
50 and 100)
= signs.
write fractions in their equivalent forms as
well as their lowest terms; Writing fractions in their equivalent
forms and reducing them to their
differentiate between numerator and lowest terms.
denominator.
Arranging a set of fractions in
ascending or descending order.
Using the terms numerator and
denominator.
Mixed numbers identify mixed numbers; Forming mixed numbers by putting Fraction charts,
together wholes and fractions of Diagrams
solve problems involving mixed numbers; wholes for example. Regular objects
convert mixed numbers to improper 3
2 and
fractions and vice-versa; 4
use and = signs correctly when 3
comparing mixed numbers.
2
4
Reading, interpreting and writing
mixed numbers.
Using diagrammatic representations
of mixed numbers.
Converting mixed numbers into
improper fractions and vice-versa.
23 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Comparing two mixed numbers
using signs and = signs.
Numeration systems say, read and write Roman numerals; Familiarising pupils with Roman Number cards
(Arabic and roman numerals) numerals from 1 to 50 and 100.
convert Roman numerals to Arabic Conversion charts
numerals and vice versa. Writing numbers 1 to 20 in Roman
numerals.
Showing how the Roman
numeration system is built from
basic numerals for 1,5, 10 and 50.
Decimals say, read and write in numerals, decimals Saying, reading and writing in Abacuses
with 1, 2 or 3 decimal places; numerals up to 3 decimal places. Diagrams of fractions, decimal
(up to 3 places) fraction charts
determine place value of a digit in a given Giving values of digits in numbers
decimal; up to 3 decimals places with no
more than 5 digits.
interpret diagrammatic representations of
decimals; Interpreting diagrammatic
representation of decimals.
round off to the nearest unit, tenth and
hundredth; Comparing decimals using the
and = signs.
compare decimals using the , and =
signs. Rounding off decimals to the
nearest unit, tenth and hundredth.
24 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Percentages express fractions as percentages and Expressing percentages as fractions 100 square grid, charts
vice versa; and vice versa.
express one quantity /amount as a Expressing one quantity /amount as
percentage of another; percentages of another.
compare percentages using the and Comparing percentages using the and = signs.
Finding percentages equivalent to
1 1 1 1
, , and
2 4 5 10
25 GGRADE 5 / TOPIC: OPERATIONS
CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils should be able to:
Addition of whole numbers recall basics addition facts; Recalling basic addition facts, such Abacuses
as, 8+7=15 9+6=15. flash cards
(involving carrying in 4 places within the add with carrying involved;
work cards
range 0 to 100 000.) Adding with carrying. counters
add measures;
Adding measures where whole
use the associative law. numbers are involved.
Deducing and generalising the
associative and commutative laws.
Subtraction of Recalling basic subtraction facts. Abacuses
whole numbers recall basic subtraction facts;
(0 to 100 000.) Subtracting measures where whole flash cards.
subtract by decompositional equal numbers are involved. work cards
additions;
counters
Subtracting by decomposition and
subtract measures. equal additions up to 4 places.
Multiplication of whole numbers Recalling basic multiplication facts Multiplication chart
up to 10x10 including product values
(where the multipliers are two digit recall basic multiplication facts; of 0. dial for multiplication
numbers made of 0;1; 2;3;4 and 5,
multiples of 10 and multiples of 100 up multiply by one digit number; Multiplying by one digit numbers for counters
1000 within the range 0 to 100 000.) example 1 275 x 9 =
multiply by two digit numbers;
Multiplying by 2 digit number for
multiply by multiples of 10 and 100; example 756 x 24 =
deduce and generalise multiplication Multiplying by multiples of 10 for
processes; example 948 x 80
Multiplying by multiples of 100 for
multiply measures.
example 72 x 300 =
26 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils should be able to:
Multiplying measures where whole
numbers are involved.
Deducing and generalising on
multiplication of numbers for
example 2x3=3x2, (2x3)x4=2x(3x4)
Division of whole numbers recall basic division facts; Recalling basic division facts. Charts and
(to include long division by two digit carry out long division by one/two digit Dividing by one digit numbers using tables
numbers and multiples of 10 and 100 up number divisors, with or without long division.
to 1000 within the range 0 to 100 000) remainders;
counters
Dividing by two digit numbers using
divide numbers involving measures long division.
where whole numbers are involved.
Dividing by multiples of 10 and 100.
Addition and subtraction of decimals add and subtract decimals; Identifying decimals and place Abacuses
(up to 2 decimal places.) flash cards
values.
convert fractions to percentages and vice
work cards
versa. Adding and subtracting decimals.
Adding and subtracting decimal
measures.
Multiplication and division decimals Recalling multiplication and division Abacuses
identify place value; facts. flash cards
work cards
multiply and divide decimals. Multiplying and dividing by multiples
of ten, single digit whole numbers
and two digit whole numbers.
Converting fractions to decimals and
vice versa.
27 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils should be able to:
Addition and subtraction of fractions Identifying numerators and Equivalent fraction
(Where no more than three terms are identify and use numerators and denominators. Charts.
involved) denominators appropriately;
Adding and subtracting fractions rods and blocks
add and subtract proper fractions with with the same denominators.
same denominators;
Finding common denominators.
add and subtract proper fractions with
different denominators.
Finding equivalent fractions.
Adding and subtracting proper
fractions with different
denominators.
Multiplication of fractions multiply proper fractions by whole Recalling basic multiplication facts. Number lines,
numbers; diagrams on ratio
(by whole numbers not exceeding Multiplying whole numbers by
10 and the use of percentages.) change fractions to percentages and vice proper fractions and vice versa.
versa;
Changing fractions to percentages
represent ratio in three ways; and vice versa.
use "of" to mean multiply.
3
Using the word "of " such as
4
of 12, 25% of 50.
Writing ratio in 3 ways.
Finding part of a whole by
multiplying by a fraction.
28 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils should be able to:
Combined operations work out exercises which combine Adding and subtracting whole
addition and subtraction. numbers by first adding before
subtracting such as
Addition and subtraction
7-9+4 = 7+4 -9
= 11 - 9
= 2
Adding and subtracting fractions by
first adding before subtracting such
as
1 3 4
- +
5 5 5
1 4 3
= + -
5 5 5
5 3
= -
5 5
2
=
5
29 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils should be able to:
Multiplication and division work out exercises which combine Dividing whole numbers by
multiplication and division of whole multiplying with the inverse of the
numbers; divisor such as
12 1
12 ÷ 4 = x = 3 and
1 4
6 1 2
6 ÷ 3x2 = x x =4
1 3 1
Dividing fractions by multiplying with
work out problems which combine the inverse of the divisor such as:
multiplication and division of fractions.
1 1 1 2 1
= x = and
4 2 4 1 2
1 3 6 1 8 6 1
x = x x =
8 8 8 8 3 8 4
30 GGRADE 5 / TOPIC: MEASURES
CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Money give relationships between coins and Identifying all the denominations of Shop articles
bank notes the Zimbabwean Currency. Zimbabwean coins and bank notes.
Bills and statements.
Calculate change. Applying knowledge of money for
example in shopping, selling and
paying bills.
Showing relationships of
Zimbabwean currency
denominations, for example
expressing notes in terms of other
denominations.
Time read and use time. Relating duration of events in Watches
everyday life in terms of seconds, Clock-faces
minutes, hours and days. Sun-dials
Sand bottle/Egg Timer
Measuring time intervals of less than Calendars
one minute, such as a duration of Digital watches
(i) a clap of hands
(ii)a blink of an eye
(iii)a jump
Telling time to the nearest minute,
using a.m and p.m.
Estimating time from shadows and
from the position of the sun.
31 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Converting units of time such as
- 1 minute = 60 seconds
2 weeks = fortnight
- 1 year = 365 days -
2 weeks = 14 days
- 1 leap year = 366 days.
Saying and using the number of
days in each month.
Using Standard International (SI)
units for time.
Writing the date in S.I units,
year, month and day.
Mass find masses of quantities/objects; Establishing that 1000grammes = Beam balance
(quantities up to 5kg) 5g counters
estimate masses up to 5kg. 1 kilograme. Measuring the
standard masses
masses of quantities up to 5
stones, books, shoes, bags.
kilograms to the nearest
scales
50grams.
50g weights
Estimating masses of quantities objects to be weighed
from 0 to 5 kilograms and checking
the degree of accuracy by weighing.
32 GCONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Length estimate and measure length using Measuring distances up to 1km 30cm rulers
standard and non-standard units; using non-standard units. Metre rules
tape measures
find the perimeter of a figure using Finding the perimeter using the fact
rope or string
formulae. that it is the total distance around a
conversion table
figure.
rectangular shapes
Drawing rectangles and squares of square shapes
different sizes to establish the
perimeter of the rectangle as that of
a square as P=2(LxW)
P = 4S
Rate relate two quantities as rate. Linking two measures correctly to Work cards, charts
express rate, for example kilometres
per hour (km/h), cents per litre.
33 GGRADE 5 / TOPIC : RELATIONSHIPS
CONCEPT OBJECTIVES SUGGESTED ACTIVITIES SUGGESTED MATERIALS
Pupils will be able to:
Data handling collect data and use it to draw graphs; Collecting data in groups and Charts
presenting it on a graph and table. Graphs
discuss methods of collecting and Time tables
organising data; Interpreting data for example marks
for different classes.
read and interpret information;
Reading and extracting information
make observations and report.; from given diagrams/time tables.
construct their own time tables. Drawing line graphs and interpreting
them.
Drawing conclusions on
observations.
34 GYou can also read
