Scope and Continuum of Key Ideas: Number

Scope and Continuum of Key Ideas: Number

Early Stage 1 /

Outcome

Key Ideas

/ Links to CMIT Framework / Teaching and Learning Activities
Whole Number / NES1.1 Counts to 30, and orders, reads and represents numbers in the range 0 to 20 / Count forwards to 30, from a given number
Counts backwards from a given number, in the range of 0-20
Compare, order, read and represent numbers to at least 20
Read and use the ordinal names to at least ‘tenth’
Use the language of money / FNWS levels 0-4
BWNS level 0-4
Numeral Identification
FNWS, BNWS
Subitising / DENS 1
Handful of teddies (p24), Snap (p49), Concentration (p35), Fences (p36), Face Up before and after (p87); Ordering/matching;
Pegs (p43); Caterpillar (p97); Feather drop (p23), paper clip cards (p41),
Body Count (p125); Forward and Backwards Numberline, washing line (p37), Popstick patterns (p30), Ten frames (p28, 55 &113)),
Teddy bears race (p45), physical act”s (p30)
Flip books (p93), Coat hangers (p28),
feather drop (p23), egg flip (p85)
musical cushions (p31),
load the trucks(p49), Zap (p79) Floor walking (p101), Ice cream cones, Egg game (p24),
Mother bear activity (p34)
100s chart; bingo; circle champ; Celebrity Heads (p221), Rabbit’s ears (p105), posting blocks (p33), Diffy towers (p119), teen memory (p89) / Syllabus - Sample Units of work
Concentration (p13)
phone number books (p13)
peg cards (p13)
wind up toy race (p13)
teddy bear race (p15)
Where’s the number (p14) / Other activities
Using mini tutor kits
Buzz
order themselves in counting order;
Number matching puzzles
Snap, Fish memory card games
Snakes and ladders
Write my number Bingo
Ordinal number flashcards, snap, memory
class shop (p13)
Learning Object
CMIT website
Butterfly Ten frames
Hanging cards on line
Numeral track
Addition and subtraction / NES1.2 Combines, separates and compares collections of objects, describes using everyday language and records using informal methods / Combine groups to model addition
Take parts of a group away to model subtraction
Compare groups to determine ‘how many more’
Record addition and subtraction informally / EAS (Build +/- thru count by ones & thru grouping)
EAS (Combining and partitioning 1-10)
Subitising
Verbal and written labels / Circle Champ, Throw 2 dice & add (p171)); addition and subtraction bingo;; Ten frames (p28 &185); Handful of Teddies (p24); Add two dice (p163), How many eggs? (p183), Bean Bag target (p261), Diffy Towers (p119), Around the World, Bower bird. Friends of ten (p175),, Apple turnovers (p121), Blocks on the bowl (p159), Windows (p117), Trucking teddies (p271), Wipe out (p225), Object hunt (p45)
What’s on Top;
Use counters/teddies; 10 frames to show 3+3 / Syllabus - Sample Units of work
Domino Count (p18)
Hand prints (p17)
Hidden counters (p18), Subtraction and addition posting box (p19)
Combinations to 10 (p17)
Comparing towers (p18) / Other activities
Count boys & girls – how many altogether/more?
Sid Cicada
Teddies on a bus
Learning Object
Dominoes
Egg cartons
Multiplication and division / NES1.3 Groups, shares and counts collections of objects, describes using everyday language and records using informal methods / Model equal groups and rows
Group and share collections of objects equally
Record grouping and sharing informally / Building x and division (level 1&2)
Building x and division (level 1)
Verbal and written labels / Modeling groups of (clumps); Arrays (p189);; Teddy Tummies (p173); Trains (p123), trucks, Jessica’s party, handprints (p195),
Ten frames (p113)
Canisters (p129)
Mail sorts (p123)
Echidnas (p131)
Ladybirds (p133) / Syllabus - Sample Units of work
p21 -22
groups of children, sorting objects, groups and number cards, ten frames, spotty Henry, farms, fair share / Other activities
Tea for 2
Share the animals in paddocks
Bead Patterns;
Learning Object
Patterns and algebra / PAES1.1 Recognises, describes, creates and continues repeating patterns and number patterns that increase or decrease / Recognise, describe, create and continue repeating patterns
Continue simple number patterns that increase and decrease
Use the term ‘is the same as’ to describe equality of groups / FNWS
BNSW
Subitising
FNWS, BNWS, +/-,
x and division
x and division / Pattern making using material; 10s Frames; Bead Patterns; Pattern Snap; bucket count on (p157),
Rhythmic Counting; Buzz
Patterns from blocks, hundreds grid
Simplified ‘Hidden Arrays”; Fences / Talking about patterns & algebra CD
P16 – 32
Sound and action patterns, patterns with objects and shapes,, people patterns,, labeling patterns, number patterns that increase, whisper counting / Other activities
Patterns with beads, buttons
Domino patterns
Fractions and decimals / NES1.4 Describes halves, encountered in everyday contexts, as two equal parts of an object / Divide an object into two equal parts
Recognise and describe halves / Fractions level 1 / Patterns from blocks, hundreds grid / Fractions, pikelets and lamingtons
Paper folding to find halves of different shapes. (p11)
Use discrete items to find half
Ten frame activities
Use pattern blocks to find half. / Other activities
Sharing a piece of fruit/cake, etc
Learning objects
Fractions, pikelets and lamington CD
Sharing pikelets
Geoboard

Scope and Continuum of Key Ideas: Number

Stage 1 /

Outcome

Key Ideas

/ Links to CMIT Framework / Teaching and Learning Activities
Whole Number / NS1.1 Counts, orders, reads and represents two- and three-digit numbers / Count forwards and backwards by ones, twos and fives.
Count forwards and backwards by tens, on and off the decade.
Read, order and represent two- and three-digit numbers.
Read and use the ordinal names to at least ‘thirty-first’.
Sort, order and count money using face value. / FNWS; BNWS
10’S & 100’S;
FNWS; PV
Numeral identification
PV
Verbal and written labels / DENS 1
Face Up ; Number before and after (p87); Circle Champ (count by 2’s & 3’s); Tracks; Arrow Game (Number expanders); Buzz (by 2’s and 3’s); Teen Bingo (p87); Dinosaur baseboards; Celebrity Heads (p221), hundreds chart activities (p161), Maths tipping (p81), Zap (p79), Fish charts (p95), Wipeout (p225)
Guess my number (p37 &223), The price is right (p223), egg flip (p85), skip counting (p227), Straw javelin (p229)
Put in, take out (p237) Bees (p239)
Bucket count on (p157)
Grocery grab (p225)
Wind up toy race (p13) / Syllabus - Sample Units of work
Toss and add (p43)
Deal cards – read numbers using the ordinal names
Skip counting in circle (p48)
Popsticks in a cup (P51)
Take away box (p43)
Handful of money (p50) / Other activities
Ladder game
Count & Bounce, Bounce the ball & count by 2’s’ 5’s etc
Flip & say – flip cards and say number
Ordinal number flashcards
Money bingo, The money game
Addition and subtraction / NS1.2 Uses a range of mental strategies and informal recording methods for addition and subtraction involving one- and two-digit numbers / Model addition and subtraction using concrete materials.
Develop a range of mental strategies and informal recording methods for addition and subtraction
Record number sentences using drawings, numerals, symbols and words. / EAS (perceptual & Figurative)
EAS (facile); Combine and partition;
Verbal & Written labels / DENS 1
Toss & Add; Doubles; Dominoes addition (p245)); Two Dice add (p243); First to a flat.
Friends of 10, tens frames, trading –Race to 100, first to a flat, doubles bingo, five dice (p247), Ring that bell (p181)
3 dice game (p233)
Bees (p239)
Teddy tummies (p173)
Diffy towers (p119)
Apple turnover (p121)
The beanstalk (p235).
Orange tree (p267) / Syllabus - Sample Units of work
P42 – 46
Adding counters
Take-away box
Dart board additions
Doubles bingo
Race to 100 (p46)
Counting on cards (p44)
Pegging clothes (p48) / Other activities
Roll and count – Roll the die, say number and roll another and add together
Learning object
Multiplication and division / NS1.3 Uses a range of mental strategies and concrete materials for multiplication and division / Rhythmic and skip count by ones, twos, fives and tens.
Model and use strategies for multiplication including arrays, equal groups and repeated addition.
Model and use strategies for division including sharing, arrays and repeated subtraction.
Record using drawings, numerals, symbols and words. / Multiplication and division;
10’s and 100’s / Dice games; Lolly Drop In; Whisper Counting’; Body Percussion; Teddy Tummies(p269), arrays, circle bob
Friends to 10; Unifix blocks; Even Stevens game; Beads,2x ten frames, AFL- counting on, buzz (p275) handprints (p195
Sharing collections mail sorts (p123)
Guess my square (p191)
Calculating groups (p191)
Trucking teddies (p271)
Hundreds chart (p273)
Units for two (p273)
Calculating groups (p199)
Tagging (p273)
Rolling groups (p277) / Sample Units of work pg 54-56
Making groups count (p48)
Array activities (p49)
Popsticks in cups (p51)
Car parks (p49) / Other activities
Dics Dazzlers Paul Swan
Dice turnover (p23)
High dice (p21)
Patterns and algebra / PAS1.1 Creates, represents and continues a variety of number patterns, supplies missing elements in a pattern and builds number relationships / Create, represent and continue a variety of number patterns and supply missing elements
Build number relationships by relating addition and subtraction facts to at least 20.
Make generalisations about number relationships
Use equals sign to record equivalent number relationships. / FNWS;BNWS Count by 10s & 100s
Combining & partitioning
Facile
Verbal and written labels / Using the hundreds chart to look at different patterns using multiples and factors (p273)
Friends to 100 / Syllabus Sample Units of work
pg 60-65
Frog jumps (p61)
Exploring odd and even (p63)
Counting monsters (p62)
Spot the mistake (p64) / Talking about patterns and algebra CD
P35 – 65
Generating number and counting sequences
Find missing numbers
Numberline patterns
Square number chartsadding and subtracting patterns
Fractions & decimals / NS1.4 Describes and models halves and quarters, of objects and collections, occurring in everyday situations / Model and describe a half or a quarter of a whole object
Model and describe a half or a quarter of a collection of objects
Use fraction notation and / Fractions level 1 / Paper folding activities
Using sharing and partitioning to divide a whole
Fractions, Pikelets and Lamingtons.
A birthday secret (p290)
Half the pikelets (p20)
Teeny tiny ten frames
Number line activities / Sample Units of work
Sharing the whole (p53)
Halve/quarter different objects (p53)
Sharing collections (p54)
Hidden half (p56) / Learning objects
Fractions, pikelets and lamington CD
Sharing pikelets
Geoboard

Mathematics K–6 programming support

Scope and Continuum of Key Ideas: Number

Stage 2 / /

Key Ideas

/ Links to CMIT Framework / Teaching and Learning activities
Whole Number / NS2.1 Counts, orders, reads and records numbers up to four digits / Count forwards and backwards by tens or hundreds, on and off the decade
Use place value to read, represent and order numbers up to four digits
Money concepts are developed further in Decimals & Fractions / Counting by 10’s and 100’s
Place Value, level 2 & 3 / DENS 2
Bucket Count On (p184)
Hands Up (p66)
Hundreds Chart activities (p76)
Hundreds chart jigsaw (p88)
Count Off
Paddle Pop Sticks
Guess my number
Largest number wins (p180)
Race to 1000 (p284)
Celebrity head (p221)
Shh! It’s a secret (p292)
Bean counter (p70)
Teeny tiny ten frames (p90) / Syllabus – Sample units of work
Three & four digit numbers (p85)
Wipe out (p85)
Higher, lower (p86) / Other activities
Learning objects
CMIT website
Arrow card game
Learning federation
Number trains
Scale matters
Addition and subtraction / NS2.2 Uses mental and written strategies for addition and subtraction involving two-, three- and four-digit numbers / Use a range of mental strategies for addition and subtraction involving two-, three- and four-digit numbers
Explain and record methods for adding and subtracting
Use a formal written algorithm for addition and subtraction / Combining and Partitioning
Place Value, Jump
Split
Compensation / DENS 2
The empty number line
Red or Black (p196)
Hundreds Chart Challenge (p190)
Race to 1000 (p284)
Addition Challenge
Addition star (p28)
I have, I want, I need (p128)
Highway racer (p290)
Four dice tally (p108)
Make ten grids (p50)
Brainy fish (p28)
Spin, double and flip (p24) / Syllabus – Sample units of work
Number lines (p88)
Number Cards (p89)
Which way is best? (p89)
Trading games (p89)
Missing digits (p90)
What went wrong? (p89) / Other activities
MAB blocks
Learning objects
CMIT website
Addition wheel
Darts game
Four turns to 100
Learning Federation
Take away bars
The part adder
The number partner
Multiplication and division / NS2.3 Uses mental and informal written strategies for multiplication and division / Develop mental facility for number facts up to 10x10
Find multiples and squares of numbers
Interpret remainders in division problems
Determine factors for a given number
Use mental and informal written strategies for multiplying or dividing a two-digit number by a one-digit operator / Multiplication and Division
Level 4 – repeated abstract composite units
Level 5 – x & Division as operations / Tasks involving arrays (p98)
Double dice multi (p198)
Remainders Count (p278)
Division Challenge
Bingo games multiplying by different multiples
Hopscotch (p265)
Multi memory (p260)
Multiplication game board (p266)
Set the rules (p268)
Counter grab (p96)
Saucy sixes (p276)
Una Pizza Per Favora (p256)
Engineers Dice (p38) / Factors (p96)
Card remainders (p97)
Multiplying by multiples of 10 (p96) / Other activities
Tables bingo
Counter grab
Tens strips
Dice Dazzlers – Paul Swan
Double, halve or stay (p33)
Thrice dice (p28)
Learning objects
CMIT website
Remainders Count
Arrays
Learning federation
The array
The array: go figure
Divide it up: puppies
The multiplier
Patterns and algebra / PAS2.1 Generates, describes and records number patterns using a variety of strategies and completes simple number sentences by calculating missing values / Generate, describe and record number patterns using a variety of strategies.
Build number relationships by relating multiplication and division facts to at least 10x10
Complete simple number sentences by calculating the value of a missing number / Multiplication and Division
Counting by 10’s and 100’s
FNWS
BNWS
Place Value / Using the hundreds chart to look at different patterns using multiples and factors
Friends to 100 / Talking about patterns & algebra CD
P68 – 108
Generating counting sequences (p71)
Repeatedly adding 5 and 10 (p78, 80)
Which of these are true? (p94)
Triangular numbers (p105)
Square numbers (p106) / Other activities
Learning objects
CMIT website
Calendar patterns
Learning federation
Wishball challenge:whole number
The difference bar
Cubirocks
Vile vendor
Fractions and decimals / NS2.4 Models, compares and represents commonly used fractions and decimals, adds and subtracts decimals to two decimal places, and interprets everyday percentages / Model, compare and represent fractions with denominators 2, 4, and 8, followed by fractions with denominators 5, 10, and 100
Find equivalence between halves, quarters and eighths; fifths and tenths; tenths and hundredths
Model, compare and represent decimals to 2 decimal places
Add and subtract decimals with the same number of decimal places
Recognise percentages in everyday situations. Relate a common percentage to a fraction or decimal
Perform calculations with money / Fractions
level 2
fractions level 3
Place value
Place value / Paper folding activities
Using sharing and partitioning to divide a whole
Teeny tiny ten frames
Number line activities / Fractions, Pikelets and Lamingtons
A piece of cake (p25)
How many pikelets? (p27)
A pikelet recipe (p32 – 36)
Lamington bars (p37
Mrs Packer’s visitors (p39 / Other activities
Fractions using pattern blocks
Paper folding activities
Learning objects
Fractions, Pikelets and Lamingtons.CD
Sharing pikelets
Geoboard divider
Learning federation
Decimaster
Cassowary fractions
Shape fractions
Fraction fiddle