Mathematics Programme – Stage Two – (Years 3 &4)
NUMBER
Outcome
Key Idea
Whole
Number
NS2.1 –
Counts,
orders, reads
& records
numbers up to
4 digits
p. 44 Syllabus
Count forward & backwards by
tens or hundreds, on and off the
decade
Use place value to read,
represent & order numbers up to
4 digits
Outcome
Key Idea
Work Samples Reference
Addition &
Subtraction
NS2.2 – Uses
mental and
written
strategies for
addition &
subtraction
involving 2,3
& 4 digit
numbers
p. 49 – 50
Syllabus
Use a range of mental strategies
for addition & subtraction
involving 2, 3 & 4 digit
numbers
p88 – Mental Strategies, Base 10 Materials,
Linking 3, Estimating Differences
p89 – Estimating Addition
p90 – Estimation to nearest 1000, How Much
Explain and record methods for
adding & subtracting
p88 – recording Empty Number Lines,
Differences on Number Lines, Appropriate
Calculation s
p89 – Take away reversals, How many
Days….., Which Way Best, Number Cards
p89 – Trading Games , what went Wrong, the
Answer is
p90 – Crossover, Missing Digits.
Money concepts are developed
further in Fractions & Decimals
Use a formal written algorithm
for addition & subtraction
Work Samples Reference
p85 – Counting races
p86 – Estimating counters,
p85 – 3 and 4 digit numbers, 4 digit number
hunt, Less than/greater than ordering, Posing
Problems
p86 – How Many Ways, Calculator, Higher or
lower, Rounding, Estimating
DENS (Stg 2)
Reference
T1
T2
T3
T4
T1
T2
T3
T4
p70 – Bean Counter
p72 – Dizzy Dots
p74 – Building with 10 Frames
p76 – Hundreds Chart Windows
p78 – Money Problems
p88 – 100 Chart Jigsaw
p90 – Teeny Tiny Ten Frames
p180 – Largest Number Wins
p182 – Start With Four
p184 – Bucket Count on 10’s and 100’s
p302 – Digi Square
DENS (Stg 2)
Reference
p20 – Domino Adding Pairs
p26 – Addition Star
p34 – Even Stevens
p36 – Engineers Dice
p38 – Fancy Dice
p40 – Counter Play
p52 – Memory of tens
p78 – Money Problems
p80 – Four Turns to 100
p82 – Eggsactly
p84 – Cover Up Strips
p86 – Tracks
p90 – Teeny Tiny Ten Frames
p178 – Ten Frame flash
p186 – I Have I Want I Need
p188 – Empty Number Line
p190 – Hundred Chart challenge
p192 – Addition Challenge
p194 – Friends to 100
p196 – Red or black
p284 – Race to 1000 p286 – How Many More
p288 – Snake Eyes
p290 – Highway Racer
Mathematics Programme – Stage Two – (Years 3 &4)
NUMBER
Outcome
Multiplication
& Division
NS2.3 – Uses
mental and
written
strategies for
multiplication
& division.
p. 54 -55
Syllabus
Key Idea
Work Samples Reference
Develop Mental facility for
number facts up to 10 x 10
p92 – Models of facts, Mult facts, Mult Grid,
Patterns, Choc boxes
p93 – Doubles, Mental Strategies,
Times Squares, Creating arrays
p94 – trading Game, Dominos, Paddocks
Find multiples and squares of
numbers
p92 – Tables races
p93 – Sequence of Multiples, Multiples,
Square numbers
p94 – Reducing multiples
Interpret remainders in division
problems
p93 – Halves
p96 – Remainders
p97 – Division Number Sentences, card
remainders, Remainders game
Determine factors for a given
number
p96 – Factors, factors game
p97 - Tag
Use mental and informal
written strategies for
multiplying or dividing a 2 digit
number by a one digit operator
p96 – Mult by mult of 10, Calculations race,
Mental calculations, Ancient Egyptian,
p97 – New from Old
DENS (stg 2)
Reference
p36 – engineers Dice
p96 – Counter Grab – Multiplication
p98 – Create an array
p100 – Colour an array
p102 – Self correcting arrays
p116 – Streamer Design
p198 – Double Dice Multi
p200 – Teddy target
p202 – Collecting threes
p204 – People Markers
p206 – Triples plus one
p216 – How Do I Know
p218 – Using Nets 2
p220 – How many more?
p252 – Spin and Multiply
p254 – Race Around the World
p256 – Una Pizza per favore
p258 – Chords
p260 – Multiplication Memory
p262 – Honey jumbles
p264 – Hopscotch
p266 – Mult Game board
p268 – Set the Rules
p270 – Self correcting facts
p272 – Hand Multiplication
p 274 – Ten Strip Division Challenge
p276 – Saucy Sixes
p278 – Remainders Count
p280 – Safari
p282 - Froggy
T1
T2
T3
T4
Mathematics Programme – Stage Two – (Years 3 &4)
NUMBER
Outcome
Key Idea
Work Samples Reference
Fractions &
decimals
NS2.4 –
Models,
compares &
represents
commonly
used fractions
& decimals,
adds &
subtracts
decimals to 2
decimal places
& interprets
everyday
language
p.62 -63
Syllabus
Model, compare & represent fractions with
denominators 2,4 & 8, followed by
fractions with denominators 5, 10 & 100
Find equivalence between halves, quarters
and eighths; fifths 7 tenths; tenths &
hundredths
Model, compare & represent decimals to 2
decimal places
Add and subtract decimals with the same
number of decimal places (to 2 decimal
places)
Recognise percentages in everyday
situations. Relate a common percentage to
a fraction or decimal
Perform calculations with money
Outcome
Key Idea
Chance
NS2.5 –
Describes &
compares
chance events
in social and
experimental
contexts.
p.69 Syllabus
Explore all possible
outcomes in a simple
chance situation
Conduct simple chance
experiments
Collect data & compare
likelihood of events in
different contexts
Fractions: Pikelets & Lamingtons
Support Document:
p99 – Sharing, Comparing &ordering,
Match Up, Clothes Line, Is it possible?,
Fruit Salad
p100 – Fraction Posters
p100 – Paper Folding
p101 - Representations
p25/26 – A piece of cake (adapted)
p27/28 – How many pikelets
p32-36 – A Pikelet recipe
p100 – 2 decimal game, Biggest or smallest
DENS Stage 2
p292 It’s A Secret
p100 – Adding & Subtracting
T1
T2
T3
T4
T1
T2
T3
T4
p37/38 – Lamington Bars
p39/40 – Mrs Packer’s Visitors
p41/42 – Related fractions 1
p302 –
Digi Squares
p100 – Design a menu
Work Samples Reference
p103 - Pegs
p103 – Expected result, Removing
counters
p104 – Take Away Dice, Sample
bags, Musical Chairs
p103 – Certain/Uncertain, Fair
Game?, Tossed fruit Salad, Toss &
Add
p104 – Is it fair?, Combination
Dressing
DENS (Stg 2)
Reference
p108 - Four Dice tally
p210 – High rollers 2
Problem Solving Through Chance
and Data: BOS Support Material
p26/27 – Toss and Total
p28/29 – Knock Knock
p30/31 – Heads You Win
p32/33 – Fifty-Fifty
Mathematics Programme – Stage Two – (Years 3 &4)
PATTERNS AND ALGEBRA
Outcome
Key Idea
DENS (Stg 2)
Reference
Patterns & Algebra
PAS2.1 – Generates,
describes & records
number patterns
using a variety of
strategies &
completes simple
number sentences by
calculating missing
values
p.75 Syllabus
Generate, describe & record
number patterns using a
variety of strategies
Build number relationships by
relating multiplication &
division facts to at least 10 x
10
Complete simple number
sentences by calculating the
value of a missing number
p52 – Memory of Tens
p72 – Dizzy Dots
p92 – Teddy Tummies
p94 – People Markers
p96 – Counter Grab
p98 – Create Array
p100 – Colour of Array
p102 – SC Arrays
p118 – Tiler roller
p120 – Using Nets
p194 – Friends to 100
p202 – Collecting 3’s
p232 – Rect Count Up
p262 – Honey Jumbles
p270 – Self correcting facts
Patterns in Mathematics K-6
Support Document
T1
T2
T3
T4
T1
T2
T3
T4
p 18-19 Finding Patterns on the 100 Chart
p 24-25 Patterns with even Numbers
p. 38-39 Sequence of Triangles
p 20-21 Interval Counting
p 34-35 Factor arrays
p 36-37 Sequence of Squares
DATA
Outcome
Key Idea
Data
DS2.1 –
Gathers &
organises data,
displays data
using tables &
graphs &
interprets
results
p. 87 Syllabus
Conduct surveys,
classify & organise
data using tables
Construct vertical and
horizontal column
graphs and picture
graphs
Interpret data presented
in tables, column
graphs & picture
graphs
DENS (Stg 2)
Reference
p104 –
Traffic tally
p106 –
High Rollers
p110 –
Knotty Problems
p208 –
Graphing Symbols
p210 –
High Rollers 2
p212 –
Jelly Bean Pans
p214 –
Fractured fairy Tales
Problem Solving Through Chance & Data: Support
Document
p 34-35 – Heads And Hats
p 36-37 – Big Feet
p 38-39 – Home Head Count
p 40-41 – Common Coins
p42-43 – Rainy days
p44-45 – TV Talk
Mathematics Programme – Stage Two – (Years 3 &4)
MEASUREMENT
Outcome
Key Idea
Work Samples Reference
Other
References
Length
MS 2.1 –
Estimates,
measures,
compares &
records
lengths,
distance &
perimeters in
metre,
centimetres
and
millimetres
p.94 Syllabus
Estimate,
measure,
compare &
record lengths
& distances
using metres,
centimetres
and/or
millimetres
Convert
between
metres &
centimetres,
and
centimetres &
millimetres
Estimate &
measure the
perimeter of
2D Shapes
Record
lengths &
distances
using decimal
notation of
two places
p106 – Millimetres, Worms
p108 – Estimations, Less than 30cm,
Find the Length
DENS Stage 2:
p 110 – Knotty Problems
Teaching Measurement: Stage 2 and Stage 3: Support
Document
Towering metres (p.24), Human Tape Measure (p.25), Rolling
metres (p.25), ready, Set Go (p.25), How to use a Ruler (p.28),
Any 3 items (p.28), Measure & design (p.29), Bottle measures
(p.29), Trundle Wheels (p32), Body parts (p.36)
p106 – How Many
p107 – Measuring, Measuring
Devices
p108 – Measuring Using cm and m,
Matching Measurements
Concertina metre (p.24)
p106 – Investigating Perimeters,
Perimeter Match, Perimeters
p107 – Perimeter of 20 cm
p108 – Rectangular dimensions
p107 – Distances around School
Draw it to Fit (p29), Intro to Perimeter (p.32), Shapes to order
(p33), Room for elbows (p.33), Cut in Half (p.33), Make An
envelope (p.37)
String triangles (p.36), Kathys and Kyles (p37), Centimetres,
centimetres, centimetres (p.37)
T1
T2
T3
T4
Mathematics Programme – Stage Two – (Years 3 &4)
MEASUREMENT
Outcome
Key Idea
Work Samples
Reference
DENS (Stg 2)
Reference
Teaching Measurement: Stage 2 and
Stage 3: Support Document
Area
MS 2.2 –
Estimates,
measures,
compares and
records the
areas of
surfaces in
square
centimetres
and square
metres.
p.98 Syllabus
Recognise the
need for
square
centimetres &
square metres
to measure
area
Estimate,
measure,
compare &
record areas
in square cm
& square m
p110 – Areas of 10 squares
p111 – Blob Prints, Block
letters, constructing a square
metre,
p112- Investigating
Rectangles
p216 – How Do I Know
p298 – Hidden Squares
p300 – Crazy
Skyscrapers
p302 – Digi
Squares
p304 – Measuring Area
with one tile
Make square metre / estimate sq m (p54),
Bigfoot (p55), Designer Squares (p55), Cut in
halves (p55), How Much (p59)
Outcome
Volume & Capacity
MS 2.3 – Estimates,
measures, compares &
records volumes and
capacities using litres,
millilitres and cubic
centimetres
p.104-105
Syllabus
p110 – Square cm, geoboard
squares, what could it be?
p111- sq cm & sq m
p112- Estimation, Direct
Comparison, B’ball Areas,
Covering sq m
Key Idea
Recognise the need for a formal unit to
measure volume & capacity
Estimate, measure, compare & record
volumes and capacities using litres and
millilitres
Measure the volume of models in cubic
centimetres
Convert between litres and millilitres
T1
T2
T3
T4
T1
T2
T3
T4
Square Letters (p58), Hopscotch (p58), handball
Courts (p59), Measuring playground areas
(p59), Length x Breadth (p62), Sistine Chapel
(p63), Playground Areas (p63), Check All Faces
(p63)
Teaching Measurement: Stage 2 and Stage 3: Support
Document
make a Litre (p86),
One Litre exactly (p86), How many Litres / How many to the litre
(p.87), Choose me (p87),
Layer count (p90), Plan a Prism (p90), Twins (p91), Side Views /
Copy This (p91), Copy my model (p98), 5 different ways (p98),
Group therapy (p99)
Calibrations / Rising Levels (p94), Dripping Tap (p95)
Mathematics Programme – Stage Two – (Years 3 &4)
MEASUREMENT
Outcome
Mass
MS2.4 – Estimates
measures, compares
and records masses
using kilograms and
grams
p.110 Syllabus
Key Idea
Teaching Measurement: Stage 2 and Stage 3: Support
Document
Recognise the need for a formal
unit to measure mass
On the Case / Make a Kilo (p116), Kilogram ball /
Treasure Hunt / Shot Put (p117)
Estimate, measure, compare &
record masses using kilograms &
grams
By The cupful / Make 50 grams (p120), Massive Model /
Pass the parcel / Calibrated Band (p121), How Heavy
Are My Books? / Which Scales (p124), toy Story / fruit
salad / Aussie aboard (p125)
Lunchtime / Litterbugs (p128)
Outcome
Key Idea
Work Samples Reference
Time
MS 2.5 – Reads and
records time in 1
minute intervals and
makes comparisons
between time units
p.114 Syllabus
Recognise the coordinated
movements of the hands on a
clock
Read and record time using digital
& analog notation
p114 – Construct a clock, Minute 7 Hour hands, Turning
Around Room,
Read & interpret simple
timetables, timelines and calendars
p114 – Time Bingo, Reading analog Clocks, how many
minutes, Number Patterns
p115 – Matching Times, Barrier game
p115 – Duration of Activities, How many Days,
Calendar patterns, Television Viewing
Teaching About Angles: Stage 2
Lesson 14 – p 38/39 - CLOCKS
T1
T2
T3
T4
T1
T2
T3
T4
Mathematics Programme – Stage Two – (Years 3 &4)
SPACE AND GEOMETRY
Outcome
Key Idea
DENS Stg 2
Reference
3D Space
SGS 2.1 – makes,
compares, describes
& names 3 D objects
including pyramids
& represents them in
drawing
p120 - Syllabus
Name, describe, sort,
make & sketch prisms,
pyramids, cylinders,
cones & spheres
Create nets from
everyday packages
p222 – What’s in the Box?
p224 – Moving 3D objects
p300 – Crazy Skyscrapers
p310 – Food Rainbow
p312 – Symmetry building
Describe cross sections
of 3D objects
Outcome
Key Idea
DENS Stg 2
Reference
2D Space
SGS 2.2a –
Manipulates,
compares
sketches
&
names
2D
shapes
&
describes their
features
p.126
Syllabus
Identify and name
pentagons,
octagons 7
parallelograms
presented in
different
orientations
Compare &
describe special
groups of
quadrilaterals
Make tessellating
designs by
reflecting,
translating &
rotating
Find all lines of
symmetry for a 2D
shape
p122- Geoboard Triangles 1
p124 – Create a Triangle
p126 – Symmetry Pattern
p128 – Walking the Dog
p130 – Woolly Designs
p226 – Time to Shape Up
p228 – Rolling Boxes
p232 – Rectangle count up
p294 – Large and Small
p296 – Chessboard
p306 – Geoboard triangles 2
p308 – Silent String Shapes
p314 – Whats my shape?
p316 – Guess and Draw
Count me Into Space Classroom Activities
T1
T2
T3
T4
T1
T2
T3
T4
Orientation and Motion:
Lesson 9 – Block building
Lesson 14 – Shadow Shapes
Lesson 16 – Models from drawings
Lesson 17 – Faces and Nets
Lesson 19 – Paper Box Folding
Lesson 18 – Pop Up cards
Count me Into Space Classroom Activities
Part / Whole Relationships:
Lesson 8 – Making star Designs
Lesson 11 – Cutting Up a large triangle (adapt to shapes)
Lesson 14 – Tracing a tessellated square or rhombus
Lesson 15 – Making Tangrams
Lesson 17 – Shapes with Sticks
Lesson 20 – Matchstick Puzzles
Lesson 21/22 – Other tangram Activities
Lesson 23 – Making Pattern Block Shapes Larger
Orientation and Motion:
Lesson 8 – Jigsaw making
Lesson 11 – Pattern block Symmetry
Lesson 13 – Geoboard Symmetry
Teaching About Angles Stage 2 – Curriculum Support Document
Lesson 1 – p. 12/13 – Pattern Blocks
Patterns in Mathematics K-6 – BOS Support Document
p28-29 Symmetry in Shapes
Mathematics Programme – Stage Two – (Years 3 &4)
SPACE AND GEOMETRY
Outcome
Key Idea
DENS
Reference
2D Space
SGS 2.2b –
Identifies,
compares and
describes
angles in
practical
situations.
p. 127
Syllabus
Recognise
openings,
slopes & turns
as angles
Describe
angles using
everyday
language &
the term
‘right’
Compare
angles using
informal
means
Outcome
Position
SGS 2.3 –
Uses simple
maps &
grids to
represent
position and
follow
routes
p.136
Syllabus
Key Idea
Use simple maps and grids
to represent position and
follow routes
Determine the directions
N,S, E & W; NE,NW,SE
& SW, given one of the
directions
Describe the location of an
object on a simple map
using coordinates or
directions
Teaching About Angles Stage 2
Curriculum Support Document
p132 –
Recognising
Angles in Shapes
p226 –
Time to shape Up
p230 – Pattern
Block Angles
Lesson 2 – p14/15 – Windmill Patterns
(Yr 3)
Lesson 3 – p16/17 – Square Corners
Lesson 4 – p18/19 – Acute and Obtuse Angles
Lesson 5 – p20/21 – Angles in Geometrical Patterns
Lesson 6 – p 22/23 – Equal Angles
Lesson 7 – p24/25 – Measuring pattern Block Angles
Lesson 8 – p26/27 – Measuring Angles in the Classroom
Lesson 9 – p28/29 – Measuring Body angles
(Yr 4)
Lesson 10 – p30/31 – Drawing Two Line Angles
Lesson 11 – p32/33 – Measuring the Angle of Opening Doors
Lesson 12 – p34/35 – Doors that open in different directions
Lesson 13 – p36/37 – Measuring Angles of Slope
Lesson 14 – p38/39 – Clocks
Lesson 15 – p40/41 – Drawing 2 line and 1 line angles
T2
T3
T4
T1
T2
T3
T4
These activities
can be revised
into Stage 3
Work Samples Reference
p.117 – Ice Cube Tray, Mystery location, Positional Concentration
p118 – 6x6 position, A and B, Theatre Plans
p119 – Classroom Grids, Boxes
p117 – Buried treasure, Body Turns
p118 – Maps, Using A Compass
p119 – Turning in Right Angles
p117 – Bike Track
p118 – Street Directories
p119 – Construct a Simple Map / Plan
T1