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Surveyors Creek PS Mathematics Scope and Sequence

Weeks

Term 1 Term 2 Term 3 Term 4

1-2 Whole Number Two-Dimensional Space

Angles (Years 3-6)

Whole Number Time (Kindergarten)

Whole Number Two-Dimensional Space

Angles (Year 3-6)

Whole Number Time (Kindergarten)

Data (Years 1-6) Data (Years 1-6)

3-4 Addition and Subtraction

Three-Dimensional Space

Addition and Subtraction (Kindergarten – Year 5)Fractions, Decimals and Percentages(Year 6)

Data (Kindergarten)


Three-Dimensional Space


Data (Kindergarten)

Mass (Years 1-2)

Time (Years 3-6)

Mass (Years 1-2)

Time (Years 3-6)

5-6 Multiplication and Division

Volume and Capacity (Kindergarten)

Length (Year 1)

Area (Years 2-6)

Multiplication and Division

Area (Kindergarten)

Volume and Capacity(Years 1-6)



Length (Year 1)

Area (Years 2-6)


Area (Kindergarten)

Volume and Capacity(Years 1-6)

7-8 Fractions and Decimals (K-4)Fractions, Decimals and Percentages (5-6)

Length (Kindergarten, Years 2-6)

Area (Year 1)

Fractions and Decimals (K-4)Fractions, Decimals and Percentages (5-6)

Mass (Kindergarten, Years 3-6)

Time (Years 1-2)


Length (Kindergarten, Years 2-6)

Area (Year 1)


Mass (Kindergarten, Years 3-6)

Time (Years 1-2)

9-10 Patterns and Algebra

Chance(Years 1-6)

Patterns and Algebra


Position(Years 1-6)


Chance(Year 1-6)



Position(Years 1-6)

Position (Kindergarten)

Time (Kindergarten)

Stage 3Links to GPLA Units

Outcomes UnitsWhole NumbersMA3-4NA orders, reads and represents integers of any size and describes properties of whole numbers

Part 1Read, write and order numbers of any size WN - Stage 3 - Plan 1

WM - Stage 3 - Plan 3State the place value of digits in numbers of any size WN - Stage 3 - Plan 7Record numbers of any size using expanded notation WN - Stage 3 - Plan 2

Determine factors and multiples of whole numbers WN - Stage 3 - Plan 7Part 2Recognise the location of negative numbers in relation to zero on a number line

WM - S3 - Assorted 3 weeks

Identify and describe prime and composite numbers WM - S3 - Assorted 4 weeks

Model and describe square and triangular numbers WM - S3 - Assorted 4 weeks

Addition and SubtractionMA3-5NA selects and applies appropriate strategies for addition and subtraction with counting numbers of any size

Part 1Select and apply efficient mental, written and calculator strategies for addition and subtraction of numbers of any size

AS - Stage 3 - Plan 1

Use estimation to check answers to calculations AS - Stage 3 - Plan 2AS - Stage 3 - Plan 3

Solve word problems and record the strategy used, including problems involving money AS - Stage 3 - Plan 9AS - Stage 3 - Plan 10

Create a simple budget AS - Stage 3 - Plan 4

Part 2Select and apply efficient mental, written and calculator strategies to solve word problems and record the strategy used

AS - Stage 3 - Plan 11

Multiplication and DivisionMA3-6NA selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation

Part 1Use and record a range of mental and written strategies to multiply by one- and two-digit operatorsUse the formal algorithm for multiplication by one- and two-digit operators

Use and record a range of mental and written strategies to divide numbers with three or more digits by a one-digit operator, including problems that result in a remainder

MD - Stage 3 - Plan 5MD - Stage 3 - Plan 6

Solve word problems and record the strategy used

Interpret remainders in division problems MD - Stage 3 - Plan 7

Use estimation to check answers to calculations MD - Stage 3 - Plan 8 and 9


MD - Stage 3 - Plan 10, 11,12 and 13

Recognise and use grouping symbols MD - Stage 3 - Plan 15 and 16

Apply the order of operations in calculations MD - Stage 3 - Plan 14Fractions and DecimalsMA3-7NA compares, ordersand calculates with fractions, decimals and percentages

Part 1Compare and order unit fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100 FD - Stage 3 - Plan 1

Express mixed numerals as improper fractions and vice versa FD - Stage 3 - Plan 2

Model and represent strategies to add and subtract fractions with the same denominator FD - Stage 3 - Plan 3

Apply the place value system to represent thousandths as decimals FD - Stage 3 - Plan 4

Compare, order and represent decimals with up to three decimal places FD - Stage 3 - Plan 5Multiplication and DivisionMA3-6NA selects and applies appropriate strategies for multiplication and division, and applies the

Part 1Use and record a range of mental and written strategies to multiply by one- and two-digit operatorsUse the formal algorithm for multiplication by one- and two-digit operators

Use and record a range of mental and written strategies to divide numbers with three or more digits by a one-digit operator, including problems that result in a remainder

MD - Stage 3 - Plan 5MD - Stage 3 - Plan 6

http://www.glenmorepark-lc.schools.nsw.edu.au/documents/37651029/37652269/LA%20Maths%20-%20MD%20-%20Stage%203%20-%20Plan%205%20.docx

order of operations to calculations involving more than one operation

Solve word problems and record the strategy used

Interpret remainders in division problems MD - Stage 3 - Plan 7

Use estimation to check answers to calculations MD - Stage 3 - Plan 8 and 9


MD - Stage 3 - Plan 10, 11,12 and 13

Recognise and use grouping symbols MD - Stage 3 - Plan 15 and 16

Apply the order of operations in calculations MD - Stage 3 - Plan 14Fractions and DecimalsMA3-7NA compares, orders and calculates with fractions, decimals and percentages

Part 1Compare and order unit fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100 FD - Stage 3 - Plan 1

Express mixed numerals as improper fractions and vice versa FD - Stage 3 - Plan 2

Model and represent strategies to add and subtract fractions with the same denominator FD - Stage 3 - Plan 3

Apply the place value system to represent thousandths as decimals FD - Stage 3 - Plan 4

Compare, order and represent decimals with up to three decimal places FD - Stage 3 - Plan 5Fractions and DecimalsMA3-7NA compares, orders and calculates with fractions, decimals and percentages

Part 2Represent, compare and order fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100 FD - Stage 3 - Plan 6

Determine, generate and record equivalent fractions FD - Stage 3 - Plan 7, 8, 9

Write fractions in their ‘simplest form’ FD - Stage 3 - Plan 10

Add and subtract fractions, included mixed numerals, with the same or related denominators FD - Stage 3 - Plan 11,12

Multiply fractions by whole numbers FD - Stage 3 - Plan

Find a simple fraction of a quantity FD - Stage 3 - Plan 20,21

Use mental, written and calculator strategies to add and subtract decimals with up to three decimal places

FD - Stage 3 - Plan 13

Use mental, written and calculator strategies to multiply decimals by one- and two-digit whole numbers FD - Stage 3 - Plan

14,15Use mental, written and calculator strategies to divide decimals by one-digit whole numbers FD - Stage 3 - Plan

14,15

Multiply and divide decimals by 10, 100 and 1000 FD - Stage 3 - Plan 16

Solve word problems involving fractions and decimals, including money problems FD - Stage 3 - Plan 14,15

Make connections between equivalent percentages, fractions and decimals FD - Stage 3 - Plan

Use mental, written and calculator strategies to calculate 10%, 25% and 50% of quantities, including as discounts

FD - Stage 3 - Plan 22,23

Patterns and AlgebraMA3-8NA analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane

Part 1Identify, continue create and describe increasing and decreasing number patterns with fractions, decimals and whole numbers PA - Stage 3 - Plan 1

Find missing numbers in number sentences involving multiplication or division on one or both sides of the equals sign

PA - Stage 3 – Plan 2, 3, 4

Part 2Continue, create, record and describe geometric and number patterns in words

PA - Stage 3 - Plan 5, 6

Determine the rule for geometric and number patterns in words and use the rule to calculate values PA - Stage 3 - Plan 6,7

Locate and record the coordinates of points in all four quadrants of the Cartesian plane PA - Stage 3 - Plan 8, 9, 10, 11, 12

LengthMA3-9MG selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length

Part 1Use the kilometre to measure lengths and distances LEN- Stage 3 - Plan 1

Select and use appropriate instruments and units to measure lengths LEN- Stage 3 - Plan 2

Record lengths and distances using the abbreviations km, m, cm and mm LEN- Stage 3 - Plan 2

Find perimeters of common two-dimensional shapes and record the strategy LEN- Stage 3 - Plan 3, 4

Part 2Record lengths and distances using decimal notation to three decimal places LEN- Stage 3 - Plan 6

Convert between kilometres, metres, centimetres and millimetres LEN- Stage 3 - Plan 5

Solve problems involving length and perimeter LEN- Stage 3 - Plan 7AreaMA3-10MG selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles

Note: Plans 4, 5,6,7 and 8 are missing.

Part 1Recognise the need for square kilometres and hectares to measure area

AREA- Stage 3 - Plan 1

Record areas using the abbreviations km2 and ha AREA- Stage 3 - Plan 2

Develop a strategy to find areas of rectangles (including squares) and record the strategy in words AREA- Stage 3 - Plan 3, 4, 5, 6

Part 2Develop a strategy to find areas of triangles and record the strategy in words

AREA- Stage 3 - Plan 7

Solve problems involving areas of rectangles (including squares) and triangles AREA- Stage 3 - Plan 8

Volume and CapacityMA3-11MG selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity

Part 1Use cubic centimetres and cubic metres to measure and estimate volumes

VC- Stage 3 - Plan 1

Select and use appropriate units to measure volume VC- Stage 3 - Plan 2, 3

Record volumes using the abbreviations cm3 and m3 VC- Stage 3 - Plan 2, 3

Part 2Connect volume and capacity and their units of measurement

VC- Stage 3 - Plan 4

Record volumes and capacities using decimal notation to three decimal places VC- Stage 3 - Plan 5

Convert between millilitres and litres VC- Stage 3 - Plan 6

Develop a strategy to find volumes of rectangular prisms and record the strategy in words VC- Stage 3 - Plan 7, 8

MassMA3-12MG selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass

Part 1Recognise the need for tonnes to measure mass

MASS- Stage 3 - Plan 1

Record masses using the abbreviations t, kg and g MASS- Stage 3 – Plan 1

Select and use appropriate instruments and units to measure mass MASS- Stage 3 – Plan 1, 3

Distinguish between ‘gross mass’ and ‘net mass’ MASS- Stage 3 – Plan 2

Solve problems involving mass MASS- Stage 3 – Plan 2

Part 2Record mass using decimal notation to three decimal places

MASS- Stage 3 – Plan 4, 5

Convert between tonnes, kilograms and grams MASS- Stage 3 – Plan 6, 7

TimeMA3-13MG uses 24-hour time and am and pm notation in real-life situations, andconstructs timelines

Part 1Convert between 12- and 24-hour time

TIME- Stage 3 – Plan 1

Determine and compare the duration of events TIME- Stage 3 – Plan 2

Part 2Interpret and use timetables

TIME- Stage 3 – Plan 3, 4, 5

Draw and interpret timelines using a given scale TIME- Stage 3 – Plan 6

Three-Dimensional SpaceMA3-14MG identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views

Part 1Name prisms and pyramids according to the shape of their ‘base’

3D SPACE- Stage 3 – Plan 1, 2

Recognise that prisms have a uniform cross-section and pyramids do not 3D SPACE- Stage 3 – Plan 2

Describe and compare properties of prisms and pyramids in terms of their faces, edges and vertices

3D SPACE- Stage 3 – Plan 2, 3

Connect three-dimensional objects with their nets

Part 2Construct prisms and pyramids using a variety of materials, and given drawings from different views

3D SPACE- Stage 3 – Plan 7

Two-Dimensional SpaceMA3-15MG manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties

Part 1Identify, name and draw right-angled, equilateral, isosceles and scalene triangles

2D SPACE- Stage 3 – Plan 1b

Compare and describe side properties of the special quadrilaterals and special triangles 2D SPACE- Stage 3 – Plan 2

Explore angle properties of the special quadrilaterals and special triangles 2D SPACE- Stage 3 – Plan 2

Classify and draw regular and irregular two-dimensional shapes from descriptions of their features 2D SPACE- Stage 3 – Plan 2, 3

Use the terms ‘translate’, ‘reflect’ and ‘rotate’ to describe transformations of shapes 2D SPACE- Stage 3 – Plan 4b, 6

Identify line and rotational symmetries 2D SPACE- Stage 3 – Plan 4a, 4b

Make and compare enlargements of shapes/pictures 2D SPACE- Stage 3 – Plan 5

Part 2Identify, describe, compare and draw diagonals of two-dimensional shapes

2D SPACE- Stage 3 – Plan 8

Identify and name parts of circles 2D SPACE- Stage 3 – Plan 7

Identify, use and describe combinations of translations, reflections and rotations 2D SPACE- Stage 3 – Plan 9b

AnglesMA3-16MG measures andconstructs angles, andapplies angle relationships to find unknown angles

Part 1Recognise the need for formal units to measure angles

ANG- Stage 3 – Plan 1

Measure, compare and estimate angles in degrees (up to 360°) ANG- Stage 3 – Plan 2, 4

Record angle measurements using the symbol for degrees (°) ANG- Stage 3 – Plan 1

Construct angles using a protractor (up to 360°) ANG- Stage 3 – Plan 2

Describe angle size in degrees for each angle classification ANG- Stage 3 – Plan 3

Part 2Identify and name angle types formed by the intersection of straight lines, including ‘angles on a straight line’, ‘angles at a point’ and ‘vertically opposite angles’

ANG- Stage 3 – Plan 5, 6, 7

Use known angle results to find unknown angles in diagrams ANG- Stage 3 – Plan 8

PositionMA3-17MG locates and describes position on maps using a grid-reference system

Note: There is only one part in the Position substrand in Stage 3.

Use grid-referenced maps to locate and describe positions POS- Stage 3 – Plan 1, 2

Follow a sequence of directions, including compass directions, to find a particular location on a map

POS- Stage 3 – Plan 3

Describe routes using landmarks and directional language

POS- Stage 3 – Plan 2

Data Part 1Collect categorical and numerical data by observation and by survey

DATA- Stage 3 – Plan 1, 2

MA3-18SP uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables

Construct data displays, including tables, column graphs, dot plots and line graphs, appropriate for the data type

DATA- Stage 3 – Plan 1, 2, 3

Describe and interpret data presented in tables, column graphs, dot plots and line graphs DATA- Stage 3 – Plan 1, 2, 3, 4

Part 2Interpret and create two-way tables in digital media and elsewhere

DATA- Stage 3 – Plan 4, 5

Interpret side-by-side column graphs DATA- Stage 3 – Plan 5

Compare a range of data displays to determine the most appropriate display for particular sets of data

DATA- Stage 3 – Plan 4

Interpret and critically evaluate data presented DATA- Stage 3 – Plan 4, 5. 6

ChanceMA3-19SP conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes

Note: Plan 6 is missing.

Part 1List outcomes of chance experiments involving equally likely outcomes

CHA- Stage 3 – Plan 2

Represent probabilities using fractions CHA- Stage 3 –

Recognise that probabilities range from 0 to 1 CHA- Stage 3 – Plan 1, 2

Part 2Compare observed frequencies in chance experiments with expected frequencies

CHA- Stage 3 – Plan 4

Represent probabilities using fractions, decimals and percentages CHA- Stage 3 – Plan 5

Conduct chance experiments with both small and large numbers of trials CHA- Stage 3 – Plan 6

Year 5Overview

Strand Sub-Strand Outcome Working Mathematically

Number & Algebra

Whole Number MA3-4NA orders, reads and represents integers of any size and describes properties of whole numbers

MA3-1WM describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions

MA3-2WM selects and applies appropriate problem-solving strategies, including the use of digital technologies, in undertaking investigations

MA3-3WM gives a valid reason for supporting one possible solution over another

Addition and Subtraction MA3-5NA selects and applies appropriate strategies for addition and subtraction with counting numbers of any size





MA3-6NA selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation




Fractions and Decimals MA3-7NA compares, orders and calculates with fractions, decimals and percentages




Patterns and Algebra MA3-8NA analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane




Length MA3-9MG selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length



Measurement & Geometry


Area MA3-10MG selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles


Volume and Capacity MA3-11MG selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity



Mass MA2-12MGmeasures, records, compares and estimates the masses of objects using kilograms and grams



Time MA3-13MG uses 24-hour time and am and pm notation in real-life situations, and constructs timelines


Three-Dimensional Space MA3-14MG identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views



Two-Dimensional Space MA3-15MG manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties




Angles MA3-16MG measures and constructs angles, and applies angle relationships to find unknown angles


Position MA3-17MG locates and describes position on maps using a grid-reference system


Statistics & Probability

Data MA3-18SP uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables



MA3-3WM gives a valid reason for supporting a possible solution over anotChance MA3-19SP conducts chance experiments and

assigns probabilities as values between 0 and 1 to describe their outcomes


Year 5 - Term 1Week For the sub-strand Whole Number, it is important to spend 10 minutes at the beginning of each lesson on a game or drill activity to reinforce fluency.

1-2 Whole Number Two-Dimensional Space

apply an understanding of place value and the role of zero to read and write numbers of any size

state the place value of digits in numbers of any size arrange numbers of any size in ascending and descending order record numbers of any size using expanded notation partition numbers of any size in non-standard forms to aid mental

calculation

manipulate, identify and name right-angled, equilateral, isosceles and scalene triangles

compare and describe features of the sides of equilateral, isosceles and scalene triangles

select and classify a two-dimensional shape from a description of its features

explore by measurement side and angle properties of equilateral, isosceles and scalene triangles

explore by measurement angle properties of squares, rectangles, parallelograms and rhombuses

identify and draw regular and irregular two-dimensional shapes from descriptions of their side and angle properties

make enlargements of two-dimensional shapes, pictures and maps, with and without the use of digital technologies

compare representations of shapes, pictures and maps in different sizes

Angles identify the arms and vertex of an angle where both arms are

invisible, such as for rotations and rebounds recognise the need for a formal unit for the measurement of angles record angle measurements using the symbol for degrees (°) measure angles of up to 360° using a protractor construct angles of up to 360° using a protractor

3-4 Addition and Subtraction use the term 'sum' to describe the result of adding two or more

numbers add three or more numbers with different numbers of digits, with

and without the use of digital technologies

Three-Dimensional Space identify and determine the number of pairs of parallel faces of three-

dimensional objects identify the 'base' of prisms and pyramids use the term 'apex' to describe the highest point above the base of a

pyramid or cone name prisms and pyramids according to the shape of their base visualise and draw the resulting cut face (plane section) when a

three-dimensional object receives a straight cut recognise that prisms have a 'uniform cross-section' when the

section is parallel to the base recognise that pyramids do not have a uniform cross-section when

http://syllabus.bos.nsw.edu.au/glossary/mat/rotation/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/rhombus/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/parallelogram/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/rectangle/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/square/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/angle/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/right-angle/?ajax

the section is parallel to the base identify, describe and compare the properties of prisms and pyramid

5-6 Multiplication and Division use mental and written strategies to multiply three- and four-digit

numbers by one-digit numbers, including: multiplying the thousands, then the hundreds, then the tens

and then the ones using an area model using the formal algorithm

use mental and written strategies to multiply two- and three-digit numbers by two-digit numbers, including: using an area model for two-digit by two-digit multiplication factorising the numbers using the extended form of the formal algorithm

use digital technologies to multiply numbers of up to four digits

Area recognise the need for a formal unit larger than the square metre identify situations where square kilometres are used for measuring

area, recognise and explain the need for a more convenient unit than the

square kilometre recognise that there are 10 000 square metres in one hectare record areas using the abbreviations for square kilometres (km2) and

hectares (ha)

7-8 Fractions, Decimals and Percentages place fractions with denominators of 2, 3, 4, 5, 6, 8, 10 and 12 on a

number line between 0 and 1 compare and order unit fractions with denominators of 2, 3, 4, 5, 6,

8, 10, 12 and 100 identify and describe 'proper fractions' as fractions in which the

numerator is less than the denominator identify and describe 'improper fractions' as fractions in which the

numerator is greater than the denominator express mixed numerals as improper fractions and vice versa,

through the use of diagrams and number lines, leading to a mental strategy

Length recognise the need for a formal unit longer than the metre for

measuring distance recognise that there are 1000 metres in one kilometre measure a kilometre and a half-kilometre record distances using the abbreviation for kilometres (km) select and use the appropriate unit and measuring device to

measure lengths and distances estimate lengths and distances using an appropriate unit and check

by measuring record lengths and distances using combinations of millimetres,

centimetres, metres and kilometres

9-10 Patterns and Algebra identify, continue and create simple number patterns involving

addition and subtraction describe patterns using the terms 'increase' and 'decrease'

Chance use the term 'probability' to describe the numerical value that

represents the likelihood of an outcome of a chance experiment recognise that outcomes are described as 'equally likely' when any

one outcome has the same chance of occurring as any other outcome

list all outcomes in chance experiments where each outcome is

equally likely to occur

Year 5 - Term 2Week For the sub-strand Whole Number, it is important to spend 10 minutes at the beginning of each lesson on a game or drill activity to reinforce fluency.1-2 Whole Number

use numbers of any size in real-life situations, including in money problems

recognise different abbreviations of numbers used in everyday contexts

round numbers to a specified place value

Data pose and refine questions to construct a survey to obtain categorical

and numerical data about a matter of interest collect categorical and numerical data through observation or by

conducting surveys tabulate collected data, including numerical data, with and without

the use of digital technologies such as spreadsheets construct column and line graphs of numerical data using a scale of

many-to-one correspondence, with and without the use of digital technologies

3-4 Addition and Subtraction select and apply efficient mental, written and calculator strategies to

solve addition and subtraction word problems, including problems involving money

record the strategy used to solve addition and subtraction word problems

check solutions to problems, including by using the inverse operation

Time tell the time accurately using 24-hour time convert between 24-hour time and time given using am or pm

notation compare the local times in various time zones in Australia, including

during daylight saving

5-6 Multiplication and Division apply appropriate mental and written strategies, and digital

technologies, to solve multiplication word problems record the strategy used to solve multiplication word problems use the term 'quotient' to describe the result of a division calculation recognise and use different notations to indicate division record remainders as fractions and decimals

Volume and Capacity select and use appropriate units to measure the capacities of a

variety of containers measure the volumes of rectangular containers by packing them

with cubic-centimetre blocks recognise the need for a formal unit larger than the cubic centimetre construct and use the cubic metre as a unit to measure larger

volumes7-8 Fractions, Decimals and Percentages

model and represent strategies, including using diagrams, to add proper fractions with the same denominator, where the result may be a mixed numeral

model and represent a whole number added to a proper fraction, subtract a proper fraction from another proper fraction with the

Mass recognise the need for a formal unit larger than the kilogram use the tonne to record large masses record masses using the abbreviation for tonnes (t)

same denominator, model and represent strategies, including using diagrams, to add

mixed numerals with the same denominator use diagrams, and mental and written strategies, to subtract a unit

fraction from any whole number including 1 solve word problems that involve addition and subtraction of

fractions with the same denominator

9-10 Patterns and Algebra create, with materials or digital technologies, a variety of patterns

using whole numbers, fractions or decimals use a number line or other diagram to create patterns involving

fractions or decimals

Position find locations on maps, including maps with legends, given their grid

references describe particular locations on grid-referenced maps, including

maps with a legend


determine all 'factors' of a given whole number determine the 'highest common factor' (HCF) of two whole numbers

determine 'multiples' of a given whole number determine the 'lowest common multiple' (LCM) of two whole

numbers

Two-Dimensional Space use the terms 'translate', 'reflect' and 'rotate' to describe the

movement of two-dimensional shapes describe the effect when a two-dimensional shape is translated,

reflected or rotated identify and quantify the total number of lines (axes) of symmetry (if

any exist) of two-dimensional shapes, including the special quadrilaterals and triangles

identify shapes that have rotational symmetry and determine the 'order' of rotational symmetry

Angles identify that a right angle is 90°, a straight angle is 180° and an angle

of revolution is 360° identify and describe angle size in degrees for each of the

classifications acute, obtuse and reflex compare the sizes of two or more angles in degrees estimate angles in degrees and check by measuring

3-4 Addition and Subtraction round numbers appropriately when obtaining estimates to

numerical calculations use estimation to check the reasonableness of answers to addition

and subtraction calculations

Three-Dimensional Space visualise and sketch three-dimensional objects from different views,

including top, front and side views examine a diagram to determine whether it is or is not the net of a

closed three-dimensional object visualise and sketch nets for given three-dimensional objects visualise and name prisms and pyramids, given diagrams of their

nets show simple perspective in drawings by showing depth

5-6 Multiplication and Division use mental and written strategies to divide a number with three or

more digits by a one-digit divisor where there is no remainder, including: dividing the hundreds, then the tens, and then the ones

Area establish the relationship between the lengths, widths and areas of

rectangles record, using words, the method for finding the area of any rectangle

http://syllabus.bos.nsw.edu.au/glossary/mat/angle-classification/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/revolution/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/straight-angle/?ajax


using the formal algorithm use mental and written strategies to divide a number with three or

more digits by a one-digit divisor where there is a remainder, including: dividing the tens and then the ones using the formal algorithm

show the connection between division and multiplication, including where there is a remainder

use digital technologies to divide whole numbers by one- and two-digit divisors

apply appropriate mental and written strategies, and digital technologies, to solve division word problems

calculate areas of rectangles (including squares) in square centimetres and square metres

record calculations used to find the areas of rectangles apply measurement skills to solve problems involving the areas of

rectangles (including squares) in everyday situations measure the dimensions of a large rectangular piece of land in

metres and calculate its area in hectares

7-8 Fractions, Decimals and Percentages express thousandths as decimals interpret decimal notation for thousandths state the place value of digits in decimal numbers of up to three

decimal places

Length use the term 'dimensions' to describe the 'lengths' and 'widths' of

rectangles measure and calculate the perimeter of a large rectangular section of

the school calculate perimeters of common two-dimensional shapes, including

squares, rectangles, triangles and regular polygons with more than four sides

record calculations used to find the perimeters of two-dimensional shapes

9-10 Patterns and Algebra complete number sentences that involve more than one operation

by calculating missing numbers identify and use inverse operations to assist with the solution of

number sentences

Chance establish that the sum of the probabilities of the outcomes of any

chance experiment is equal to 1 order commonly used chance words on an interval from zero

('impossible') to one ('certain') represent probabilities of outcomes of chance experiments using

fractions


determine whether a particular number is a factor of a given number using digital technologies

solve problems using knowledge of factors and multiples

Data interpret line graphs using the scales on the axes

construct dot plots for numerical data consider the data type to determine and draw the most appropriate

display(s), such as column graphs, dot plots and line graphs describe and interpret data presented in tables, dot plots, column

graphs and line graphs

3-4 Addition and Subtraction use knowledge of addition and subtraction facts to create a financial

plan, such as a budget

Time select an appropriate unit to measure a particular period of time use a stopwatch to measure and compare the duration of events order a series of events according to the time taken to complete

each one use start and finish times to calculate the elapsed time of events

5-6 Multiplication and Division use and interpret remainders in solutions to division problems record the strategy used to solve division word problems round numbers appropriately when obtaining estimates use estimation to check the reasonableness of answers to

multiplication and division calculations

Volume and Capacity record volumes using the abbreviation for cubic metres (m3) estimate a cubic metre, 1/2 a cubic metre and 2 cubic metres select and use appropriate units to estimate the volumes of a variety

of objects

7-8 Fractions, Decimals and Percentages compare and order decimal numbers of up to three decimal places interpret zero digit(s) at the end of a decimal place decimal numbers of up to three decimal places on a number line

between 0 and 1

Mass distinguish between the ‘gross mass’ and the ‘net mass’ of

containers holding substances select and use the appropriate unit and device to measure mass find the approximate mass of a small object by establishing the mass

of a number of that object

9-10 Patterns and Algebra complete number sentences involving multiplication and division,

including those involving simple fractions or decimals write number sentences to match word problems that require finding

a missing number

Position find a location on a map that is in a given direction from a town or

landmark describe the direction of one location relative to another

Year 6Overview

Strand Sub-Strand Outcome Working Mathematically

Number & Algebra

Whole Number MA3-4NA orders, reads and represents integers of any size and describes properties of whole numbers




Addition and Subtraction MA3-5NA selects and applies appropriate strategies for addition and subtraction with counting numbers of any size





MA3-6NA selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation




Fractions and Decimals MA3-7NA compares, orders and calculates with fractions, decimals and percentages




Patterns and Algebra MA3-8NA analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane




Length MA3-9MG selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length



Measurement & Geometry


Area MA3-10MG selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles


Volume and Capacity MA3-11MG selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity



Mass MA2-12MGmeasures, records, compares and estimates the masses of objects using kilograms and grams



Time MA3-13MG uses 24-hour time and am and pm notation in real-life situations, and constructs timelines


Three-Dimensional Space MA3-14MG identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views



Two-Dimensional Space MA3-15MG manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties




Angles MA3-16MG measures and constructs angles, and applies angle relationships to find unknown angles


Position MA3-17MG locates and describes position on maps using a grid-reference system


Statistics & Probability

Data MA3-18SP uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables




Chance MA3-19SP conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes



recognise the location of negative whole numbers in relation to zero and place them on a number line

use the term 'integers' to describe positive and negative whole numbers and zero

Two-Dimensional Space identify and name 'diagonals' of convex two-dimensional shapes determine and draw all the diagonals of convex two-dimensional

shapes compare and describe diagonals of different convex two-dimensional

shapes create a circle by finding points that are all the same distance from a

fixed point (the centre) identify and name parts of a circle, including the centre, radius,

diameter, circumference, sector, semicircle and quadrantAngles identify and name angle types formed by the intersection of straight

lines, including right angles, 'angles on a straight line', 'angles at a point' that form an angle of revolution, and 'vertically opposite angles'

investigate, with and without the use of digital technologies, adjacent angles that form a right angle and establish that they add to 90°

investigate, with and without the use of digital technologies, adjacent angles on a straight line and establish that they form a straight angle and add to 180°

investigate, with and without the use of digital technologies, angles at a point and establish that they form an angle of revolution and add to 360°

3-4 Addition and Subtraction solve addition and subtraction word problems involving whole

numbers of any size, including problems that require more than one operation


Three-Dimensional Space create prisms and pyramids using a variety of materials create skeletal models of prisms and pyramids

5-6 Multiplication and Division Area

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select and use efficient mental and written strategies, and digital technologies, to multiply whole numbers of up to four digits by one- and two-digit numbers

investigate the area of a triangle by comparing the area of a given triangle to the area of the rectangle of the same length and perpendicular height

establish the relationship between the base length, perpendicular height and area of a triangle

record, using words, the method for finding the area of any triangle

7-8 Fractions, Decimals and Percentages model, compare and represent fractions with denominator of 2, 3, 4,

5, 6, 8, 10, 12 and 100 of a whole object, a whole shape and a collection of objects

compare and order simple fractions with related denominators using strategies such as diagrams, the number line, or equivalent fractions

find equivalent fractions by re-dividing the whole, using diagrams and number lines

record equivalent fractions using diagrams and numerals develop mental strategies for generating equivalent fractions, such

as multiplying or dividing the numerator and the denominator by the same number

write fractions in their 'simplest form' by dividing the numerator and the denominator by a common factor

Length recognise the equivalence of whole-number and decimal

representations of measurements of length interpret decimal notation for lengths and distances record lengths and distances using decimal notation to three decimal

places convert between metres and kilometres convert between millimetres, centimetres and metres to compare

lengths and distances

9-10 Patterns and Algebra continue and create number patterns, with and without the use

of digital technologies, using whole numbers, fractions and decimals

create simple geometric patterns using concrete materials complete a table of values for a geometric pattern and describe the

pattern in words

Chance use the term 'frequency' to describe the number of times a particular

outcome occurs in a chance experiment compare the expected frequencies of outcomes of chance

experiments with observed frequencies, including where the outcomes are not equally likely

list the outcomes for chance experiments where the outcomes are not equally likely to occur and assign probabilities to the outcomes using fractions

use knowledge of equivalent fractions, decimals and percentages to assign probabilities to the likelihood of outcomes

http://syllabus.bos.nsw.edu.au/glossary/mat/common-factor/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/denominator/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/numerator/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/multiplication/?ajax

http://syllabus.bos.nsw.edu.au/glossary/mat/numeral/?ajax

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http://syllabus.bos.nsw.edu.au/glossary/mat/denominator/?ajax

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Year 6 - Term 2Week For the sub-strand Whole Number, it is important to spend 10 minutes at the beginning of each lesson on a game or drill activity to reinforce fluency.

1-2 Whole Number interpret integers in everyday contexts investigate negative whole numbers and the number patterns

created when counting backwards on a calculator

Data interpret data presented in two-way tables create a two-way table to organise data involving two categorical

variables interpret side-by-side column graphs for two categorical variables interpret and compare different displays of the same data set to

determine the most appropriate display for the data set3-4 Addition and Subtraction

solve addition and subtraction word problems involving whole numbers of any size, including problems that require more than one operation (Link to Fractions, Decimals and Percentages concepts below)

Fractions, Decimals and Percentages add and subtract fractions, including mixed numerals, where one

denominator is the same as, or a multiple of, the other solve word problems involving the addition and subtraction of

fractions where one denominator is the same as, or a multiple of, the other

multiply simple fractions by whole numbers using repeated addition, leading to a rule

calculate unit fractions of collections, with and without the use of digital technologies

calculate a simple fraction of a collection/quantity, with and without the use of digital technologies

solve word problems involving a fraction of a collection/quantity

Time read, interpret and use timetables from real-life situations, including

those involving 24-hour time use bus, train, ferry and airline timetables, including those accessed

on the internet, to prepare simple travel itineraries

5-6 Multiplication and Division select and use efficient mental and written strategies, and digital

technologies, to divide whole numbers of up to four digits by a one-digit divisor, including where there is a remainder

use mental strategies to multiply and divide numbers by 10, 100,

Volume and Capacity select the appropriate unit to measure volume and capacity demonstrate that a cube of side 10 cm will displace 1 litre of water demonstrate, by using a medicine cup, that a cube of side 1 cm will

displace 1 mL of water

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1000 and their multiples solve word problems involving multiplication and division

equate 1 cubic centimetre to 1 millilitre and 1000 cubic centimetres to 1 litre

find the volumes of irregular solids in cubic centimetres using a displacement strategy

recognise the equivalence of whole-number and decimal representations of measurements of capacities

interpret decimal notation for volumes and capacities record volume and capacity using decimal notation to three decimal

places

7-8 Fractions, Decimals and Percentages add and subtract decimals with the same number of decimal places,

with and without the use of digital technologies add and subtract decimals with a different number of decimal

places, with and without the use of digital technologies round a number of up to three decimal places to the nearest whole

number use estimation and rounding to check the reasonableness of

answers when adding and subtracting decimals solve word problems involving the addition and subtraction of

decimals, with and without the use of digital technologies, including those involving money

Mass recognise the equivalence of whole-number and decimal

representations of measurements of mass interpret decimal notation for masses measure mass using scales and record using decimal notation of up

to three decimal places

9-10 Patterns and Algebra complete a table of values for number patterns involving

one operation (including patterns that decrease) and describe the pattern in words

make generalisations about numbers and number relationships

Position follow a sequence of two or more directions, including compass

directions, to find and identify a particular location on a map

Year 6 - Term 3

http://syllabus.bos.nsw.edu.au/glossary/mat/multiple/?ajax

Week For the sub-strand Whole Number, it is important to spend 10 minutes at the beginning of each lesson on a game or drill activity to reinforce fluency.1-2 Whole Number

determine whether a number is prime, composite or neitherTwo-Dimensional Space identify whether a two-dimensional shape has been translated,

reflected or rotated, or has undergone a number of transformations, construct patterns of two-dimensional shapes that involve

translations, reflections and rotations using computer software predict the next translation, reflection or rotation in a pattern

Angles investigate, with and without the use of digital technologies,

vertically opposite angles and establish that they are equal in size use the equality of vertically opposite angles to find the size of

unknown angles in diagrams use the results established for adjacent angles that form right angles,

straight angles and angles of revolution to find the size of unknown angles in diagrams

3-4 Fractions, Decimals and Percentages use mental strategies to multiply simple decimals by single-digit

numbers multiply decimals of up to three decimal places by whole numbers of

up to two digits, with and without the use of digital technologies divide decimals by a one-digit whole number where the result is a

terminating decimal solve word problems involving the multiplication and division of

decimals, including those involving money recognise the number patterns formed when decimals are multiplied

and divided by 10, 100 and 1000 multiply and divide decimals by 10, 100 and 1000

Three-Dimensional Space construct three-dimensional models of prisms and pyramids and

sketch the front, side and top views construct three-dimensional models of prisms and pyramids, given

drawings of different views

5-6 Multiplication and Division recognise symbols used to record speed in kilometres per hour solve simple problems involving speed use the term 'operations' to describe collectively the processes of

addition, subtraction, multiplication and division investigate and establish the order of operations using real-life

contexts

Area investigate and compare the areas of rectangles that have the same

perimeter solve a variety of problems involving the areas of rectangles

(including squares) and triangles

http://syllabus.bos.nsw.edu.au/glossary/mat/perimeter/?ajax



http://syllabus.bos.nsw.edu.au/glossary/mat/transformation/?ajax

7-8 Fractions, Decimals and Percentages recognise that the symbol % means 'percent' represent common percentages as fractions and decimals represent simple fractions as decimals and as percentages represent decimals as fractions and percentages

Length investigate and compare perimeters of rectangles with the same

area solve a variety of problems involving length and perimeter, including

problems involving different units of length 9-10 Patterns and Algebra

recognise that the number plane (Cartesian plane) is a visual way of describing location on a grid

recognise that the number plane consists of a horizontal axis (x-axis) and a vertical axis (y-axis), creating four quadrants

identify the point of intersection of the two axes as the origin,

having coordinates (0, 0) plot and label points, given coordinates, in all four quadrants of the

number plane identify and record the coordinates of given points in all four

quadrants of the number plane

Chance assign expected probabilities to outcomes in chance experiments

with random generators, including digital simulators, and compare the expected probabilities with the observed probabilities after both small and large numbers of trials

use samples to make predictions about a larger 'population' from which the sample comes


model square and triangular numbers and record each number group in numerical and diagrammatic form

Data interpret data representations found in digital media and in factual

texts critically evaluate data representations found in digital media and

related claims

3-4 Addition and Subtraction solve addition and subtraction word problems involving whole

numbers of any size, including problems that require more than one operation


Time determine a suitable scale and draw an accurate timeline using the

scale interpret a given timeline using the given scale

5-6 Multiplication and Division recognise that the grouping symbols () and [] are used in number

sentences to indicate operations that must be performed first recognise that if more than one pair of grouping symbols are used,

the operation within the innermost grouping symbols is performed first

perform calculations involving grouping symbols without the use of digital technologies

apply the order of operations to perform calculations involving mixed operations and grouping symbols, without the use of digital technologies,

recognise when grouping symbols are not necessary.

Volume and Capacity convert between millilitres and litres describe the 'length', 'width' and 'height' of a rectangular prism as

the 'dimensions' of the prism construct rectangular prisms using cubic-centimetre blocks and

count the blocks to determine the volumes of the prisms use repeated addition to find the volumes of rectangular prisms establish the relationship between the number of cubes in one layer,

the number of layers, and the volume of a rectangular prism record, using words, the method for finding the volumes of

rectangular prisms calculate the volumes of rectangular prisms in cubic centimetres and

cubic metres record calculations used to find the volumes of rectangular prisms

7-8 Fractions, Decimals and Percentages equate 10% to 1/10, 25% to 1/4 and 50% to 1/2 calculate common percentages (10%, 25%, 50%) of quantities, with

and without the use of digital technologies use mental strategies to estimate discounts of 10%, 25% and 50%

Mass convert between kilograms and grams and between kilograms and

tonnes solve problems involving different units of mass relate the mass of one litre of water to one kilogram

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calculate the sale price of an item after a discount of 10%, 25% and 50%, with and without the use of digital technologies, recording the strategy and result

9-10 Patterns and Algebra plot and label points, given coordinates, in all four quadrants of the

number plane identify and record the coordinates of given points in all four

quadrants of the number plane

Position use a given map to plan and show a route from one location to

another describe a route taken on a map using landmarks and directional

language, including compass directions

€¦ · web viewweeks. term 1. term 2. term 3. term 4. 1-2. whole number. two-dimensional space...

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