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3Grade 3 Standards
Top Mathematicians
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Measurement
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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 12-hour 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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3.78Reading Clocks5
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3.79Match Analog and Digital Clocks5
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3.80AM or PM5
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3.81Match Clocks and Time10
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3.82Reading Clocks5
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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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3.83Time Patterns15
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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. -
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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 non-standard 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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3.85Light and Heavy5
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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 non-standard 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 -
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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 2-D shapes and 3-D objects using direct comparison or informal units. -
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3.87Find the Perimeter5
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3.88Perimeter: Find the Missing Side Length5
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3.MT.5.2
Area
• Investigate the area using tiling. -
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3.89Area with Unit Squares and Units15
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3.90Area with Unit Squares5
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3.91Compare Area and Perimeter of Two Figures15
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3.MT.1.1
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Patterns, Functions and Algebra
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3.PFA.2.1.1
Copy, extend and describe simple number sequences to at least 999.
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3.PFA.2.1.2
Create and describe own patterns.
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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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3.66Mixed Patterns5
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3.PFA.2.2.2
Create and describe own patterns with physical objects and by drawing lines, shapes or objects.
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3.PFA.2.2.3
Identify, describe in words and copy geometric patterns in nature, from modern everyday life, and from our cultural heritage.
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3.PFA.2.1.1
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Space and Shape (Geometry)
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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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3.67Positions - 3x3 Grid5
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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 -
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3.G.3.2.1
3-D objects. Range of objects
• Recognise and name 3-D objects in the classroom and in pictures
- ball shapes (spheres)
- box shapes (prisms)
- cylinders
- pyramids
- cones -
3.G.3.2.2
3-D objects. Features of objects
• Describe, sort and compare 3-D objects in terms of:
- 2-D shapes that make up the faces of 3-D objects
- flat or curved surfaces -
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3.70Relate Planar and Solid Figures5
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3.71Count Edges5
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3.72Count Vertices5
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3.73Count Faces5
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3.74Count Edges, Vertices and Faces5
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3.G.3.2.3
3-D objects. Focused activities
• Observe and build given 3-D objects using concrete materials such as cut-out 2-D shapes, clay, toothpicks, straws, other 3-D geometric objects -
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3.G.3.3.1
2-D shapes. Range of shapes
• Recognise and name 2-D shapes
- circles
- triangles
- squares
- rectangles -
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3.G.3.3.2
2-D shapes. Features of shapes
• Describe, sort and compare 2-D shapes in terms of:
- shape
- straight sides
- round sides
• Draw shapes
- circles
- triangles
- squares
- rectangles -
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3.75Venn Diagrams5
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3.76Compare Sides and Corners5
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3.G.3.4.1
Symmetry
• Recognise and draw line of symmetry in 2-D geometrical and non-geometrical shapes.
• Determine line of symmetry through paper folding and reflection -
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3.77Symmetry5
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3.G.3.1.1
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Numbers, Operations and Relationships
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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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3.1Count by a Specific Number20
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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 non-unitary fractions.
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3.19Fraction20
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3.NOR.1.11.1
Money. Recognise and identify all the South African coins and bank notes.
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3.NOR.1.11.2
Money. Solve money problems involving totals and change in rands or cents
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3.20Count Up with Numbers5
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3.21Making Change Up to $2015
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3.22Making Change Up to $515
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3.23Add and Subtract Money: Up to $10,0005
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3.24Add and Subtract Money5
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3.25Price Lists20
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3.26Consumer Math: Price Lists15
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3.NOR.1.11.3
Money. Convert between rands and cents
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3.27Equivalent Coins I5
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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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3.28Convert from Expanded Form20
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3.29Multiplication with a Specific Number Up to 1265
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3.30Division with a Specific Number Up to 945
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3.31Rounding with Numbers Up to 500015
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3.32Estimate Sums with Numbers Up to 100,00020
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3.10Convert Numbers with Tens, Hundreds, Thousands20
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3.11Convert Numbers to Tens and Ones Up to 100015
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3.12Convert Numbers to Tens and Ones Up to 9910
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3.13Value of Underlined Digit Up to 100020
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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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3.33Add Three Digit Numbers Ending in Zero Up to 100020
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3.34Add Multiples of 10020
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3.35Complete the Equation with Sums Up to 100020
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3.36Complete the Equation with Numbers Up to 100020
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3.37Balance Addition Equations with Sums Up to 100020
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3.38Balance Addition Equations with Operands Up to 100020
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3.39Addition Input/Output Tables with Numbers Up to 10015
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3.40Addition Input/Output Tables with Sums Up to 100020
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3.41Subtract Two Numbers Up to 100020
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3.42Subtraction Input/Output Tables20
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3.43Complete the Subtraction Sentence with Operands Up to 100020
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3.44Complete the Subtraction Sentence20
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3.45Balance Subtraction Equations with Operands Up to 100020
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3.46Related Addition Equations Up to 1010
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3.47Related Addition Equations Up to 100020
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3.48Related Subtraction Equations Up to 1010
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3.49Related Subtraction Equations with Sums Up to 100020
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3.50Related Equations with Sums Up to 100015
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3.51Related Equations Up to 1015
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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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3.29Multiplication with a Specific Number Up to 1265
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3.52Multiplication by 1010
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3.53Multiplication Tables45
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3.NOR.1.14.2
Use appropriate symbols (x, __)
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3.54Multiplication with Pictures10
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3.NOR.1.15.1
Divide numbers up to 100 by 2, 3, 4, 5, 10
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3.NOR.1.15.2
Use appropriate symbols (÷, =, __)
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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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3.4Compare Numbers Up to 100020
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3.5Put Numbers in Order Up to 12020
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3.6Greatest and Least20
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3.7Greatest and Least Up to 1000 II20
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3.8Greatest and Least Up to 1000 I20
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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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3.29Multiplication with a Specific Number Up to 1265
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3.30Division with a Specific Number Up to 945
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3.48Related Subtraction Equations Up to 1010
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3.52Multiplication by 1010
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3.56Addition with Single Digit Numbers with Sums Up to 2015
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3.57Choose Subtraction Pictures with Numbers Up to 105
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3.58Subtraction with Pictures Up to 1010
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3.59Subtract Two Numbers Up to 1815
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3.60Addition and Subtraction Up to 10020
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3.61Addition and Subtraction Up to 185
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3.62Add Tens20
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3.63Subtract Tens20
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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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3.28Convert from Expanded Form20
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3.29Multiplication with a Specific Number Up to 1265
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3.30Division with a Specific Number Up to 945
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3.35Complete the Equation with Sums Up to 100020
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3.36Complete the Equation with Numbers Up to 100020
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3.37Balance Addition Equations with Sums Up to 100020
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3.38Balance Addition Equations with Operands Up to 100020
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3.43Complete the Subtraction Sentence with Operands Up to 100020
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3.44Complete the Subtraction Sentence20
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3.45Balance Subtraction Equations with Operands Up to 100020
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3.64Find Missing Factors15
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3.65Relate Multiplication and Division with Factors Up to 1220
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3.10Convert Numbers with Tens, Hundreds, Thousands20
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3.11Convert Numbers to Tens and Ones Up to 100015
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3.12Convert Numbers to Tens and Ones Up to 9910
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3.13Value of Underlined Digit Up to 100020
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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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3.19Fraction20
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3.NOR.1.17.2
Fractions. Recognise fractions in diagrammatic form
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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
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3.NOR.1.17.4
Fractions. Write fractions as 1 half, 2 thirds.
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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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3.4Compare Numbers Up to 100020
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3.6Greatest and Least20
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3.7Greatest and Least Up to 1000 II20
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3.8Greatest and Least Up to 1000 I20
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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.
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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) -
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3.NOR.1.5.1a
Place value. Recognise the place value of threedigit numbers to 999.
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3.NOR.1.5.1b
Place value. Decompose three-digit 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
Problem-solving 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 -
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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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3.16Addition with Sum Up to 10020
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3.17Addition Sentences Up to 100020
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3.18Subtraction with Operands Up to 100020
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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
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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
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3.NOR.1.1.1
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Data Handling
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3.DH.1.1
Collect and sort objects
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3.DH.2.1
Represent sorted collection of objects
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3.DH.3.1
Discuss and report on sorted collection of objects
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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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3.92Create Bar Graphs Using Tables5
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3.93Create Bar Graphs5
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3.DH.5.1
Represent data
• Represent data in
- pictograph (limited to pictographs with one-to-one correspondence)
- bar graphs -
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3.92Create Bar Graphs Using Tables5
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3.93Create Bar Graphs5
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3.DH.6.1
Analyse and interpret data
• Answer questions about data presented in
- pictographs (limited to pictographs with one-to-one correspondence)
- bar graphs -
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3.94Interpret Bar Graphs15
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3.DH.1.1