
3Grade 3 Standards
Top Mathematicians

Numbers, Operations and Relationships

3.NOR.1.1.1
Count concrete objects. Estimate and counts to at least 1000 everyday objects reliably. Counting by grouping is encouraged.


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3.NOR.1.10.1
Sharing leading to fractions. Solve and explain solutions to practical problems that involve equal sharing leading to solutions that include unitary and nonunitary fractions.


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3.NOR.1.11.1
Money. Recognise and identify all the South African coins and bank notes.


3.NOR.1.11.2
Money. Solve money problems involving totals and change in rands or cents


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3.NOR.1.11.3
Money. Convert between rands and cents


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3.NOR.1.12.1
Use the following techniques when performing calculations:
• building up and breaking down numbers
• doubling and halving
• number lines
• rounding off in tens 

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3.NOR.1.13.1
Addition and subtraction. Add to 999
• Subtract from 999
• Use appropriate symbols (+, , =, __)
• Practice number bonds to 30 

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3.NOR.1.14.1
Repeated addition leading to multiplication. Multiply any number by 2, 3, 4, 5, 10 to a total of 100


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3.NOR.1.14.2
Use appropriate symbols (x, __)


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3.NOR.1.15.1
Divide numbers up to 100 by 2, 3, 4, 5, 10

3.NOR.1.15.2
Use appropriate symbols (÷, =, __)


3.NOR.1.16.1
Mental mathematics. Number concept: Range 1000
• Order a given set of selected numbers
• Compare numbers up to 1000 and say which is 1, 2, 3, 4, 5 and 10 more or less 

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3.NOR.1.16.2
Mental mathematics. Rapidly recall:
• Recall addition and subtraction facts to 20
• Add or subtract multiples of 10 from 0 to 100
• Multiplication facts for the:
 2 times table with answers up to 20
 10 times table with answers up to 100
• Division facts for numbers:
 up to 20 divisible by 2
 up to 100 divisible by 10 

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3.NOR.1.16.3
Mental mathematics. Calculation strategies
• Use the following calculation strategies:
 Put the larger number first in order to count on or count back
 Number line
 Doubling and halving
 Building up and breaking down
 Use the relationship between addition and subtraction
 Use the relationship between multiplication and division. 

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3.NOR.1.17.1
Fractions. Use and name unitary and nonunitary fractions in familiar contexts including halves, quarters, eighths, thirds, sixths, fifths.


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3.NOR.1.17.2
Fractions. Recognise fractions in diagrammatic form


3.NOR.1.17.3
Fractions. Begin to recognise that two halves or three thirds make one whole and that one half and two quarters are equivalent


3.NOR.1.17.4
Fractions. Write fractions as 1 half, 2 thirds.


3.NOR.1.2.1
Counts forwards and backwards in:
• 1s from any number between 0 and 1000
• 10s from any multiple of 10 between 0 and 1000
• 5s from any multiple of 5 between 0 and 1000
• 2s from any multiple of 2 between 0 and 1000
• 3s from any multiple of 3 between 0 and 1000
• 4s from any multiple of 4 between 0 and 1000
• in 20s, 25s, 50s, 100s to at least 1000 
3.NOR.1.3.1
Number symbols and number names. Recognise, identify and read number
• Recognise, identify and read number symbols 0 to 1 000
• Write number symbols 0 to 1 000
• Recognise, identify and read number names 0 to 1 000.
• Write number names 0 to 1 000 
3.NOR.1.4.1a
Describe and compare whole numbers up to 999 using smaller than, greater than, more than, less than and equal to.


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3.NOR.1.4.1b
Describe and order whole numbers up to 999 from smallest to greatest, and greatest to smallest.

3.NOR.1.4.2
Use ordinal numbers to show order, place or position
• Use, read and write ordinal numbers, including abbreviated form (1st, 2nd, 3rd up to 31st) 

3.NOR.1.5.1a
Place value. Recognise the place value of threedigit numbers to 999.

3.NOR.1.5.1b
Place value. Decompose threedigit numbers up to 999 into multiples of 100, multiples of 10 and ones/units
• Identify and state the value of each digit. 
3.NOR.1.6.1
Problemsolving techniques. Use the following techniques when solving problems and explain solutions to problems:
• building up and breaking down numbers
• doubling and halving
• number lines
• rounding off in tens 

3.NOR.1.7.1
Solve word problems in context and explain own solution to problems involving addition and subtraction leading answers up to 999.


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3.NOR.1.8.1
Solve word problems in context and explain own solution to problems using multiplication with answers up to 100


3.NOR.1.9.1
Grouping and sharing leading to division. Solve and explain solutions to practical problems that involve equal sharing and grouping up to 100 with answers that may include remainders


3.NOR.1.1.1

Data Handling

3.DH.1.1
Collect and sort objects


3.DH.2.1
Represent sorted collection of objects


3.DH.3.1
Discuss and report on sorted collection of objects


3.DH.4.1
Collect and organise data
• Collect data about the class or school to answer questions posed by the teacher
• Organise data supplied by teacher or workbook/textbook
• Organise data in
 lists
 tally marks
 tables 

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3.DH.5.1
Represent data
• Represent data in
 pictograph (limited to pictographs with onetoone correspondence)
 bar graphs 

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3.DH.6.1
Analyse and interpret data
• Answer questions about data presented in
 pictographs (limited to pictographs with onetoone correspondence)
 bar graphs 

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3.DH.1.1

Measurement

3.MT.1.1
Telling the time
• Read dates on calendars
• Place birthdays, religious festivals, public holidays, historical events, school events on a calendar
• Tell 12hour time in
 hours
 half hours
 quarter hours
 minutes
 on analogue clocks and digital clocks and other digital instruments that show time e.g. cell phones 

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3.MT.1.2
Calculate length of time and passing of time
• Use calendars to calculate and describe lengths of time in:
 days
 weeks
 months
• Converting between days and weeks
• Converting between weeks and months
• Use clocks to calculate length of time in:
 hours
 half hours
 quarter hours 

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3.MT.2.1
Length. Informal measuring
• Estimate, measure, compare, order and record length using nonstandard measures e.g. hand spans, paces, pencil lengths, counters
• Describe the length of objects by counting and stating how many informal units long they are. 

3.MT.2.2
Length. Introducing formal measuring
• Estimate, measure, compare, order and record length using metres (either metre sticks or metre lengths of string) as the standard unit of length
• Estimate and measure lengths in centimetres using a ruler 
3.MT.3.1
Mass. Informal measuring
• Estimate, measure, compare, order and record mass using a balancing scale and nonstandard measures e.g. blocks, bricks
• Describe the mass of objects by counting and stating the mass in informal units
• Use language to talk about comparison e.g. light, heavy, lighter, heavier 

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3.MT.3.2
Mass. Introducing formal measuring
• Compare, order and record the mass of commercially packaged objects which have their mass stated in:
 kilograms e.g. 2 kilograms of rice and 1 kilogram of flour
 grams e.g. 500 grams of salt
• Measure own mass in kilograms using a bathroom scale 
3.MT.4.1
Capacity/ Volume. Informal measuring
• Estimate, measure, compare, order and record the capacity of containers (i.e. the amount the container can hold if filled) by using nonstandard measures e.g. spoons and cups
• Describe the capacity of the container by counting and stating how many of the informal units it takes to fill the container e.g. the bottle has the capacity of four cups 

3.MT.4.2
Capacity/ Volume. Introducing formal measuring
• Estimate, measure, compare, order and record the capacity of objects by measuring in litres, half litres and quarter litres
• Compare, order and record the capacity of commercially packaged objects whose capacity is stated in litres e.g. 2 litres of milk, 1 litre of cool drink, 5 litres of paint or stated in millilitres e.g. 500 millilitres of milk, 340 millilitres of cool drink, 750 millilitres of oil.
• Know that a standard cup is 250 millilitres
• Know that a standard teaspoon is 5 millilitres 
3.MT.5.1
Perimeter
• Investigate the distance around 2D shapes and 3D objects using direct comparison or informal units. 

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3.MT.5.2
Area
• Investigate the area using tiling. 

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3.MT.1.1

Space and Shape (Geometry)

3.G.3.1.1
Position and views
• Recognise and match different views of the same everyday object
• Name an everyday object when shown an unusual view of it
• Read, interpret and draw informal maps, or top views of a collection of objects
• Find objects on maps 

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3.G.3.1.2
Position and directions
• Follow directions to move around the classroom and school
• Give directions to move around the classroom and school
• Follow directions from one place to another on an informal map 

3.G.3.2.1
3D objects. Range of objects
• Recognise and name 3D objects in the classroom and in pictures
 ball shapes (spheres)
 box shapes (prisms)
 cylinders
 pyramids
 cones 
3.G.3.2.2
3D objects. Features of objects
• Describe, sort and compare 3D objects in terms of:
 2D shapes that make up the faces of 3D objects
 flat or curved surfaces 

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3.G.3.2.3
3D objects. Focused activities
• Observe and build given 3D objects using concrete materials such as cutout 2D shapes, clay, toothpicks, straws, other 3D geometric objects 

3.G.3.3.1
2D shapes. Range of shapes
• Recognise and name 2D shapes
 circles
 triangles
 squares
 rectangles 

3.G.3.3.2
2D shapes. Features of shapes
• Describe, sort and compare 2D shapes in terms of:
 shape
 straight sides
 round sides
• Draw shapes
 circles
 triangles
 squares
 rectangles 

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3.G.3.4.1
Symmetry
• Recognise and draw line of symmetry in 2D geometrical and nongeometrical shapes.
• Determine line of symmetry through paper folding and reflection 

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3.G.3.1.1

Patterns, Functions and Algebra

3.PFA.2.1.1
Copy, extend and describe simple number sequences to at least 999.

3.PFA.2.1.2
Create and describe own patterns.


3.PFA.2.2.1
Copy, extend and describe in words simple patterns made with physical objects, and complex patterns made with drawings of lines, shapes or objects.


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3.PFA.2.2.2
Create and describe own patterns with physical objects and by drawing lines, shapes or objects.


3.PFA.2.2.3
Identify, describe in words and copy geometric patterns in nature, from modern everyday life, and from our cultural heritage.


3.PFA.2.1.1