NUMBERS, OPERATIONS AND RELATIONSHIPS


WHOLE NUMBERS



1. Mental calculations involving: 



1.1. Addition and subtraction of:
 Units
 Multiples of 10
 Multiples of 100
 Multiples of 1 000




1.2. Multiplication of whole numbers to at least 10 x 10 



1.3. Multiplication facts of:
 Units by multiples of 10
 Units by multiples of 100



2. Number range for counting, ordering, comparing, representing and place value of digits: 



2.1. Count forwards and backwards 2s, 3s, 5s, 10s, 25s, 50s, 100s, between 0 and at least 10 000 



2.2. Order, compare and represent numbers to at least 4digit numbers 



2.3. Represent odd and even numbers to at least 1 000 



2.4. Recognizing the place value of digits in whole numbers to at least 4digit numbers 



2.5. Round off to the nearest 10, 100 and 1 000 


3. Number range for calculations: 



3.1. Addition and subtraction of whole numbers of at least 4 digits 



3.2. Multiplication of at least whole 2digit by 2digit numbers 



3.3. Division of at least whole 3digit by 1digit numbers 


4. Calculation techniques 



4.1. Use a range of techniques to perform and check written and mental calculations of whole numbers including:4.1.1 estimation
4.1.2 building up and breaking down numbers
4.1.4 rounding off and compensating
4.1.5 doubling and halving
4.1.6 using a number line
4.1.7 using addition and subtraction as inverse operations
4.1.8 using multiplication and division as inverse operations 


5. Number range for multiples and factors 



5.1. Multiples of 1digit numbers to at least 100 


6. Properties of whole numbers 



6.1. Recognize and use the commutative, associative and distributive properties with whole numbers 


7. Solving problems 



7.1. Solve problems in contexts involving whole numbers including :
 Financial contexts
 Measurement contexts




7.2. Solve problems involving whole numbers, including:
 Comparing two or more quantities of the same kind (ratio)
 Comparing two quantities of different kinds (rate)
 Grouping and equal sharing with remainders


Common Fractions



1. Describing and ordering fractions: 



1.1. Compare and order common fractions with different denominators (halves; thirds, quarters; fifths; sixths; sevenths; eights) 



1.2. Describe and compare common fractions in diagram form 


2. Calculations with fractions: 



2.1. Addition and common fractions with the same denominators. 



2.2. Recognize, describe and use the equivalence of division and fractions 


3. Solving problems 



3.1. Solve problems in contexts involving fractions, including grouping and equal sharing 


4. Equivalent forms 



4.1. Recognize and use equivalent forms of common fractions (fractions in which one denominator is a multiple of another) 

PATTERNS, FUNCTIONS AND ALGEBRA


NUMERIC PATTERNS



1. Investigate and extend patterns 



1.1. Investigate and extent numeric patterns looking for relationships of rules of patterns
 sequences involving a constant difference or ratio
 of learner’s own creation




1.2. Describe observed relationships or rules in learner’s own words 


2. Input and output values 



2.1. Determine input values, output values and rules for the patterns and relationships using



3. Equivalent forms 



3.1. Determine equivalence of different descriptions of the same relationship or rule presented
 Verbally
 In a flow diagram
 In a table
 By a number sentence


GEOMETRIC PATTERNS



1. Investigate and extend patterns 



1.1. Investigate and extend geometric patterns looking for relationships or rules of patterns
 Represented in physical or diagram form
 Sequences not limited to a constant difference or ratio
 Of learner’s own creation




1.2. Describe observed relationships or rules in learner’s own words 


2. Input and output values 



2.1. Determine input values, output values and rules for the patterns and relationships using flow diagrams 


3. Equivalent forms 



3.1. Determine equivalence of different descriptions of the same relationship or rule presented
 Verbally
 In a flow diagram
 By a number sentence


NUMBER SENTENCES



1. Number sentences 



1.1. Write number sentences to describe problem situations 



1.2. Solve and complete number sentences by
 Inspection
 Trial and improvement




1.3. Check solution by substitution 



SPACE AND SHAPE (GEOMETRY)




PROPERTIES OF 2D SHAPES



1. Range of shapes 



1.1. Recognize visualize and name 2D shapes in the environment and geometric settings,
 Regular and irregular polygons – triangles, squares, rectangles, other quadrilaterals, pentagons, hexagons
 Circles



2. Characteristics of shapes 



2.1. Describe, sort and compare 2D shapes in terms of
 Straight and curved sides
 Number of sides



3. Further activities 



3.1. Draw 2D shapes on grid paper 

PROPERTIES OF 3D OBJECTS



1. Range of objects 



1.1. Recognize, visualize and name 3D objects in the environment and geometric settings, focusing on
 Rectangular prisms
 Spheres
 Cylinders
 Pyramids



2. Characteristics of objects 



2.1. Describe, sort and compare 3D objects in terms of
 Shape of faces
 Flat and curved surfaces



3. Further activities 



3.1. Make 3D models using cut out polygons 

SYMETRY



1. Symmetry 



1.1. Recognize, draw and describe line(s) of symmetry in 2D shapes 

TRANSFORMATIONS



1. Build composite shapes 



1.1. Put 2D shapes together to make composite 2D shapes including some shapes with line symmetry 


2. Tessellations 



2.1. Pack out 2D shapes to make tessellated patterns including some patterns with line symmetry 


3. Describe patterns 



3.1. Refer to lines 2D shapes, 3D objects and lines of symmetry when describing patterns
 In nature
 From modern everyday life
 From our culture heritage


VIEWING OF OBJECTS



1. Position and views 



1.1. Match different views of everyday objects 



1.2. Identity everyday objects from different views 

POSITION AND MOVEMENT



1. Location and directions 



1.1. Locate position of objects, drawings or symbols on a grid with alphanumeric grid references 



1.2. Locate positions of objects on a map by using alphanumeric grid references 

MEASUREMENT


LENGTH



1. Practical measuring of 2D shapes and 3D objects by 



1.1. estimating 



1.2. measuring 



1.3. recording 



1.4. comparing and ordering 


2. Measuring instruments 



2.1. rulers, metric sticks, tape measures, trundle wheels 


3. Units 



3.1. millimetres (mm), centimetres (cm), metres (m), kilometres (km) 


4. Calculations and problemsolving involving length 



4.1. Solve problems in contexts involving length 



4.2. Conversions include converting between:
 Millimetres (mm) and centimetres (cm)
 Centimetres (cm) and metres (m)
 Metres (m) and kilometres (km)




4.3. Conversions limited to whole numbers and common fractions 

MASS



1. Practical measuring of 3D objects by 



1.1. Estimating 



1.2. Measuring 



1.3. Recording 



1.4. Comparing and ordering 


2. Measuring instruments: 



2.1. bathroom scales, kitchen scales and balances 


3. Units 



3.1. grams (g) and kilograms (kg) 


4. Calculations and problemsolving involving mass include: 



4.1. problems in contexts involving mass 



4.2. converting between grams and kilograms limited to examples with whole numbers and fractions


CAPACITY / VOLUME



1. Practical measuring of 3D objects by 



1.1. estimating 



1.2. measuring 



1.3. recording 



1.4. comparing and ordering 


2.Measuring instruments 



2.1. measuring spoons, measuring cups, measuring jugs 


3. Units 



3.1. millilitres (ml) litres (ℓ) 


4. Calculations and problem solving involving capacity/volume include: 



4.1. problems in contexts involving capacity/volume 



4.2. converting between litres and millilitres limited to examples with whole numbers and fractions 

TIME



1. Reading time and time instruments 



1.1 Read, tell and write time in 12hour and 24hour formats on both analogue and digital instruments in




1.2. Instruments include clocks and watches 


2. Reading calendars 


3. Calculators and problem solving time include 



3.1. Problem in contexts involving time 



3.2. Calculation of the number of days between any two dates within the same or consecutive years 



3.3. Calculation of time intervals where time is given in minutes or hours only 


4. History of time 



4.1. Know some ways in which time was measured and represented in the past 

PERIMETER, SURFACE AREA AND VOLUME



1. Perimeter 



1.1. Measure perimeter using rulers or measuring tapes 


2. Measurement of area 



2.1. Find areas of regular and irregular shapes by counting squares on grids in order to develop and understanding of square units 


3. Measurement of volume 



3.1. Find volume/capacity of objects by packing or filling them in order to develop an understanding of cubic units 

DATA HANDLING


COLLECTING AND ORGANISING DATA



1. Collect data using tally marks and tables for recording 

REPRESENTING DATA



1. Draw a variety of graphs to display and interpret data including: 



1.1. pictographs (onetoone correspondence between data and representation) 



1.2. bar graphs 

ANALYSING, INTERPRETING AND REPORTING DATA



1. Interpreting data 



1.1. Critically read and interpret data represented in:1.1.1 Words
1.1.2 Pictographs
1.1.3 Bar graphs
1.1.4 Pie charts 


2. Analysing data 



2.1. Analyse data by answering questions related to data categories 


3. Reporting data 



3.1. Summarise data verbally and in short written paragraphs 

PROBABILITY



1. Probability experiments 



1.1. Perform simple repeated events and list possible outcomes for experiments such as:
 Tossing a coin
 Rolling a dice

