
6Grade 6 Standards
Top Mathematicians

Data Handling

6.DH.1.1
Collecting and organising data
• Collect data
 using tally marks and tables for recording
 using simple questionnaires (yes/no type response)
• Order data from smallest group to largest group 

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6.DH.2.1
Representing data
• Draw a variety of graphs to display and interpret data including:
 pictographs (manytoone correspondence)
 bar graphs and double bar graphs 

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6.DH.3.1
Interpreting data
• Critically read and interpret data represented in
 words
 pictographs
 bar graphs
 double bar graphs
 pie charts 

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6.DH.3.2
Analysing data
• Analyse data by answering questions related to:
 data categories, including data intervals
 data sources and contexts
 central tendencies  (mode and median) 

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6.DH.3.3
Reporting data
• Summarise data verbally and in short written paragraphs that includes.
 drawing conclusions about the data
 making predictions based on the data 

6.DH.3.4
Ungrouped data
• Examine ungrouped numerical data to determine
 the most frequently occurring score in the data set (mode)
 the middlemost score in the data set (median) 

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6.DH.4.1
Probability experiments
• Perform simple repeated events and list possible outcomes for experiments such as:
 tossing a coin
 rolling a die
 spinning a spinner
• Count and compare the frequency of actual outcomes for a series of trials up to 50 trials 

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6.DH.1.1

Measurement

6.MT.1.1
Length. Practical measuring of 2D shapes and 3D objects by
• estimating
• measuring
• recording
• comparing and ordering 

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6.MT.1.2
Length. Measuring instruments:
• rulers, metre sticks, tape measures, trundle wheels 

6.MT.1.3
Length. Units:
• millimetres (mm), centimetres (cm), metres (m), kilometres (km) 
6.MT.1.4
Length. Calculations and problemsolving involving length
• Solve problems in contexts involving length
• Conversions include converting between any of the following units:
 millimetres (mm)
 centimetres (cm)
 metres (m)
 kilometres (km)
• Conversions should include common fraction and decimal fractions to 2 decimal places 
6.MT.2.1
Mass. Practical measuring of 3D objects by
• estimating
• measuring
• recording
• comparing and ordering 
6.MT.2.2
Mass. Measuring instruments:
• bathroom scales (analogue and digital); kitchen scales (analogue and digital) and balances 

6.MT.2.3
Mass. Units:
• grams (g) and kilograms (kg); 
6.MT.2.4
Mass. Calculations and problemsolving involving mass include:
• problems in contexts involving mass
• converting between grams and kilograms
• conversions should include fraction and decimal forms (to 2 decimal places) 
6.MT.3.1
Capacity/Volume. Practical measuring of 3D objects by
• estimating
• measuring
• recording
• comparing and ordering 
6.MT.3.2
Capacity/Volume. Measuring instruments:
• measuring jugs 

6.MT.3.3
Capacity/Volume. Units:
• millilitres (ml), litres (l) and kilolitres (kl) 
6.MT.3.4
Capacity/Volume. Calculations and problem solving involving capacity/volume include:
• problems in contexts involving capacity/volume
• converting between kilolitres, litres and millilitres
 conversions should include fraction and decimal forms (to 2 decimal places) 
6.MT.4.1
Reading time and time instruments
• Read, tell and write time in 12hour and 24hour formats on both analogue and digital instruments in
 hours
 minutes
 seconds
• Instruments include clocks, watches and stopwatches 

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6.MT.4.3
Calculations and problem solving time include
• problems in contexts involving time
• reading time zone maps and calculating time differences based on time zones
• calculation of time intervals where time is given in
 seconds and/or minutes
 minutes and/or hours
 hours and/or days
 days, weeks and/or months
 years and/or decades
 centuries, decades and/or years 

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6.MT.4.4
History of time
• Know some ways in which time was measured and represented in the past. 

6.MT.5.1
Practical measuring of temperature by
• estimating
• measuring
• recording
• comparing and ordering 
6.MT.5.2
Measuring instruments:
• thermometers (analogue and digital) 

6.MT.5.3
Units:
• degrees Celsius 
6.MT.5.4
Calculations and problemsolving related to temperature include:
• problems in contexts related to temperatures
• calculating temperature differences limited to positive whole numbers 
6.MT.6.1
Perimeter
• Measure perimeter using rulers or measuring tapes 

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6.MT.6.2
Measurement of area
• Continue to find areas of regular and irregular shapes by counting squares on grids
• Develop rules for calculating the areas of squares and rectangles 

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6.MT.6.3
Measurement of volume
• Continue to find volume/capacity of objects by packing or filling them
• Develop an understanding of why the volume of rectangular prisms is given 

6.MT.6.4
Investigate
• Relationship between perimeter and area of rectangles and squares.
• Relationship between surface area and volume of rectangular prisms 
6.MT.7.1
History of measurement. Know some ways in which people measured and recorded measurement in the past.


6.MT.1.1

Patterns, Functions and Algebra

6.PFA.2.1.1
Numeric patterns. Investigate and extend patterns
• Investigate and extend numeric patterns looking for relationships or rules of patterns:
 sequences not limited to a constant difference or ratio
 of learner's own creation
 represented in tables
• Describe the general rules for the observed relationships 

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6.PFA.2.1.2
Numeric patterns. Input and output values
• Determine input values, output values and rules for the patterns and relationships using:
 flow diagrams
 tables 

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6.PFA.2.1.3
Numeric patterns. Equivalent forms
• Determine equivalence of different descriptions of the same relationship or rule presented
 verbally
 in a flow diagram
 in a table
 by a number sentence 

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6.PFA.2.2.1
Geometric patterns. Investigate and extend patterns
• 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
 represented in tables
• Describe the general rules for the observed relationships 

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6.PFA.2.2.2
Geometric patterns. Input and output values
• Determine input values, output values and rules for the patterns and relationships using
 flow diagrams
 tables 

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6.PFA.2.2.3
Geometric patterns. Equivalent forms
• Determine equivalence of different descriptions of the same relationship or rule presented
 verbally
 in a flow diagram
 in a table
 by a number sentence 

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6.PFA.2.3.1
Number sentences
• Write number sentences to describe problem situations
• Solve and complete number sentences by
 inspection
 trial and improvement
• Check solution by substitution 

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6.PFA.2.1.1

Space and Shape (Geometry)

6.G.3.1.1
Range of shapes
• Recognize, visualize and name 2D shapes in the environment and geometric settings, focusing on
 regular and irregular polygons  triangles, squares, rectangles, parallelograms, other quadrilaterals, pentagons, hexagons, heptagons, octagons
 circles
 similarities and differences between rectangles and parallelograms 

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6.G.3.1.2
Characteristics of shapes
• Describe, sort and compare 2D shapes in terms of
 number of sides
 lengths of sides
 sizes of angles 

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6.G.3.1.3
Further activities
• Draw 2D shapes on grid paper
• Draw circles, patterns in circles and patterns with circles using a pair of pair of compasseses 

6.G.3.1.4
Angles
• Recognize and name the following angles in 2D shapes:
 acute
 right
 obtuse
 straight
 reflex
 revolution 
6.G.3.2.1
Range of objects
• Recognize, visualize and name 3D objects in the environment and geometric settings, focusing on
 rectangular prisms
 cubes
 tetrahedrons
 pyramids
 similarities and differences between tetrahedrons and other pyramids 

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6.G.3.2.2
Characteristics of objects
• Describe, sort and compare 3D objects in terms of
 number and shape of faces
 number of vertices
 number of edges 

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6.G.3.2.3
Further activities
• Make 3D models using:
 drinking straws, toothpicks etc
 nets 

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6.G.3.3.1
Symmetry
• Recognize, draw and describe line(s) of symmetry in 2D shapes 
6.G.3.4.1
Transformations. Enlargement and reductions
• Draw enlargement and reductions of 2D shapes to compare size and shape of
 triangles
 quadrilaterals 

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6.G.3.4.2
Transformations. Describe patterns
• Refer to lines, 2D shapes, 3D objects, lines of symmetry, rotations, reflections and translations when describing patterns
 in nature
 from modern everyday life
 from our cultural heritage 

6.G.3.5.1
Position and views
• Links the position of viewer to views of:
 single everyday objects or collections of objects
 single or composite geometric objects 

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6.G.3.6.1
Position and movement. Location and directions
• Locate position of objects, drawings or symbols on a grid with alphanumeric grid references
• Locate positions of objects on a map by using alphanumeric grid references
• Give directions to move between positions or places on a map 

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6.G.3.1.1

Numbers, Operations and Relationships

6.NOR.1.1.1
Mental calculations involving:
• Addition and subtraction of:
 units
 multiples of 10
 multiples of 100
 multiples of 1000
• Multiplication of whole numbers to at least 12 x 12
• Multiplication facts of:
 units and tens by multiples of 10
 units and tens by multiples of 100
 units and tens by multiples of 1000
 units and tens by multiples of 10000 

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6.NOR.1.1.2
Number range for counting, ordering, comparing and representing, and place value of digits
• Order, compare and represent numbers to at least 9digit numbers
• Represent prime numbers to at least 100
• Recognizing the place value of digits in whole numbers to at least 9digit numbers
• Round off to the nearest 5, 10, 100, 1000, 100,000, and 1,000,000 
6.NOR.1.1.3
Number range for calculations
• Addition and subtraction of whole numbers of at least 6 digits
• Multiplication of at least whole 4digit by 3digit numbers
• Division of at least whole 4digit by 3digit numbers
• Multiple operations on whole numbers with or without brackets 

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6.NOR.1.1.4
Calculation techniques
• Using a range of techniques to perform and check written and mental calculations of whole numbers including:
 estimation
 adding, subtracting and multiplying in columns
 long division
 building up and breaking down numbers
 rounding off and compensating
 using addition and subtraction as inverse operations
 using multiplication and division as inverse operations
 using a calculator 

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6.NOR.1.1.5
Number range for multiples and factors
• Multiples of 2digit and 3digit numbers
• Factors of 2digit and 3digit whole numbers
• Prime factors of numbers to at least 100 

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6.NOR.1.1.6
Properties of whole numbers
• Recognize and use the commutative, associative, distributive properties of whole numbers
• 0 in terms of its additive property
• 1 in terms of its multiplicative property 

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6.NOR.1.1.7
Solving problems
• Solve problems involving whole numbers and decimal fractions, including
 financial contexts
 measurement contexts
• 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 

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6.NOR.1.2.1
Common Fractions. Describing and ordering fractions:
• Compare and order common fractions, including tenths and hundredths 

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6.NOR.1.2.2
Common Fractions. Calculations with fractions:
• Addition and subtraction of common fractions in which one denominator is a multiple of another
• Addition and subtraction of mixed numbers
• Fractions of whole numbers 

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6.NOR.1.2.3
Common Fractions. Solving problems
• Solve problems in contexts involving common fractions, including grouping and sharing 

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6.NOR.1.2.4
Common Fractions. Equivalent forms:
• Recognize and use equivalent forms of common fractions with 1digit or 2digit denominators (fractions in which one denominator is a multiple of another)
• Recognize equivalence between common fraction and decimal fraction forms of the same number
• Recognize equivalence between common fraction, decimal fraction and percentage forms of the same number 
6.NOR.1.3.1
Decimal fractions. Recognizing, ordering and place value of decimal fractions
• Count forwards and backwards in decimal fractions to at least two decimal places
• Compare and order decimal fractions to at least two decimal places
• Place value of digits to at least two decimal places 

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6.NOR.1.3.2
Decimal fractions. Calculations with decimal fractions
• Addition and subtraction of decimal fractions with at least two decimal places
• Multiply decimal fractions by 10 and 100 

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6.NOR.1.3.3
Decimal fractions. Solving problems
• Solve problems in context involving decimal fractions 

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6.NOR.1.3.4
Decimal fractions. Equivalent forms:
• Recognize equivalence between common fraction and decimal fraction forms of the same number
• Recognize equivalence between common fraction, decimal fraction and percentage forms of the same number

6.NOR.1.1.1