Nrich F-6 curriculum mapping document - Primary Learning
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https://primarylearning.com.au Nrich F-6 curriculum mapping document Mapping to the Australian Curriculum - Number and Algebra Many Australian teachers access the problems, games and investigations from the website www.nrich.maths.org to use with their students either as launch activities or as longer investigations during mathematics lessons. This resource maps the Nrich tasks to the Australian Curriculum descriptors (ACARA) for Number and Algebra. The Nrich primary site provides links to other countries’ curriculum documents (e.g. England’s curriculum) and these have been a guide for the production of this resource. In this resource, the tasks have been linked to the Australian curriculum content descriptors only. All of these tasks potentially link to the proficiencies of understanding, fluency, problem solving and reasoning however, it is more how the individual teacher utilises the tasks, and how the students interact with them, that determine the links to these processes. This resource maps task to the Number and Algebra strand, two other resources have been developed that link to Measurement and Geometry and Statistics and Probability. The links here are not an exhaustive list of the many ways the tasks can be utilised or connected to concepts across the curriculum. The tasks have been linked to the content descriptor they mainly focus on, other connections can be made to other areas as well. As more tasks are added to the Nrich site this document will be updated. Nrich also have a Primary Live Problems site where schools and their students can access problems and then send their solutions to Nrich who will publish a section of them. References Australian Curriculum, Assessment and Reporting Authority (ACARA) mathematics curriculum content descriptors are all © Australian Curriculum, Assessment and Reporting Authority accessed via https://www.australiancurriculum.edu.au/f-10-curriculum/mathematics Nrich website www.nrich.maths.org all tasks © University of Cambridge Version 1.2 March 2019 Page 1 of 18
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Number and place value
Foundation content descriptors
Establish understanding of the Connect number names, numerals Subitise small collections of objects Compare, order and make
language and processes of counting and quantities, including zero, initially (ACMNA003) correspondences between collections,
by naming numbers in sequences, up to 10 and then beyond initially to 20, and explain reasoning
initially to and from 20, moving from (ACMNA002) Number talks (ACMNA289)
any starting point (ACMNA001) Hidden jewels
Number talks Show me The voting station
The estimation station The estimation station Show me
Using books: Maisie goes camping Golden beans Dice
Number book Number rhymes Number match
Owl’s packing list Dice Using books: The doorbell rang
Tidying The box game Maths story time
Represent practical situations to model
addition and sharing (ACMNA004)
Using books: Maisie goes camping
Double trouble
Maths story time
Playing Incey Wincey spider
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Number and place value
Year 1 content descriptors
Develop confidence with number Recognise, model, read, write and Count collections to 100 by partitioning Represent and solve simple addition
sequences to and from 100 by ones order numbers to at least 100; locate numbers using place value and subtraction problems using a
from any starting point. Skip count by these numbers on a number line (ACMNA014) range of strategies, including counting
twos, fives and tens starting from zero (ACMNA013) on, partitioning and rearranging parts
(ACMNA012) Snail one hundred (ACMNA015)
Writing digits Six beads
Buzzy bee Shut the box How would we count? Shut the box
Dotty Six Snail one hundred Count the crayons Two dice
100 square jigsaw Six beads Same length trains
That number square How would we count? Snail one hundred
Five steps to 50 Tug of war Noah
Noah The eightness of eight Robot monsters
Making sticks Count the digits All change
I like… Two spinners Largest even
Heads and feet Number match Eggs in baskets
Lots of biscuits! Cuisenaire counting
Clapping times Pairs of numbers
Weighted numbers
Ladybirds in the garden
Unit differences
Sealed solution
Roll these dice
Finding fifteen
Six numbered cubes
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Number and place value
Year 2 content descriptors
Investigate number sequences, initially Recognise, model, represent and Group, partition and rearrange Explore the connection between
those increasing and decreasing by order numbers to at least 1000 collections of up to 1000 in hundreds, addition and subtraction (ACMNA029)
twos, threes, fives and tens from any (ACMNA027) tens and ones to facilitate more
starting point, then moving to other efficient counting (ACMNA028) Tug of war
sequences (ACMNA026) Count the crayons How do you see it?
Snail one hundred 2, 4, 6, 8
Five steps to 50 Two-digit targets Getting the balance right
Biscuit decorations Six beads Number balance
Same length trains Count the crayons Number lines
Two spinners Strike it out
Which is quicker? Sort them out (1)
Find the difference
The add and take-away path
How many?
Secret number
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Number and place value
Solve simple addition and subtraction Recognise and represent multiplication Recognise and represent division as
problems using a range of efficient as repeated addition, groups and grouping into equal sets (ACMNA032)
mental and written strategies arrays (ACMNA031)
(ACMNA030) Sitting round the party tables
Same length trains Lots of biscuits!
I’m eight Grouping goodies Share bears
Two-digit targets Making sticks Birthday sharing
Tug of war Heads and feet Let us divide!
Robot monsters The Brown family Remainders
Dotty Six Doubling fives Sweets in a box
Making sticks Catrina’s cards
Round the two dice Sweets in a box
How do you see it? I’m eight
What could it be? Sitting round the party tables
2, 4, 6, 8 Lots of biscuits!
Heads and feet
One big triangle
Strike it out
Number round up
Dicey addition
Dice in a corner
Maze 100
Six numbered cubes
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Number and place value
Year 3 content descriptors
Investigate the conditions required for Recognise, model, represent and Apply place value to partition, Recognise and explain the connection
a number to be even or odd and order numbers to at least 10 000 rearrange and regroup numbers to at between addition and subtraction
identify even and odd numbers (ACMNA052) least 10 000 to assist calculations and (ACMNA054)
(ACMNA051) solve problems (ACMNA053)
How would we count? Strike it out
Grouping goodies Coded hundred square Coded hundred square Sort them out (1)
Largest even Which scripts? Which scripts? Find the difference
Light the lights Nice or nasty Space distances The add and take-away path
Domino sorting Four-digit targets Round the four dice How many?
Even and odd Ordering journeys Which distance?
Ring a ring of numbers Representing numbers Number lines in disguise
Always, sometimes or never? Which is quicker? Build it up
How odd Number balance
Two numbers under the microscope
More numbers in the ring
Number differences
Light the lights again
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Number and place value
Recall addition facts for single-digit Recall multiplication facts of two, Represent and solve problems
numbers and related subtraction facts three, five and ten and related division involving multiplication using efficient
to develop increasingly efficient mental facts (ACMNA056) mental and written strategies and
strategies for computation appropriate digital technologies
(ACMNA055) Double or halve (ACMNA057)
Odd times even
Number lines Count me in Doing and undoing
Butterfly facts The deca tree Secret number
Strike it out Representing numbers Number detectives
Number round up Multiples grid Our numbers
4 Dom Times table shifts Dicey operations
Jumping squares Table patterns go wild! The deca tree
Sometimes, always, never? KS1 Multiplication squares Four-digit targets
Double or halve Round and round the circle Sitting round the party tables
Two numbers under the microscope Six ten total
Number detectives Sweets in a box
Our numbers
Number lines in disguise
A mixed-up clock
Magic V
Fifteen cards
Amy’s dominoes
Sealed solution
Roll these dice
Play to 37
Finding fifteen
Domino square
Make 37
Dice in a corner
Maze 100
Six ten total
Six numbered cubes
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Number and place value
Year 4 content descriptors
Investigate and use the properties of Recognise, represent and order Apply place value to partition, Investigate number sequences
even and odd numbers (ACMNA071) numbers to at least tens of thousands rearrange and regroup numbers to at involving multiples of 3, 4, 6, 7, 8 and
(ACMNA072) least tens of thousands to assist 9 (ACMNA074)
What could it be? calculations and solve problems
Domino sorting Which distance? (ACMNA073) Odd times even
Number round up Space distances Number lines in disguise
Lots of biscuits! Nice or nasty Coded hundred square Music to my ears
Even and odd Four-digit targets Which scripts? Carrying cards
Ring a ring of numbers Ordering journeys Which distance? Multiples grid
Always, sometimes or never? Which is quicker? Space distances Times table shifts
How odd Nice or nasty Tug harder! Table patterns go wild!
Two numbers under the microscope Four-digit targets Dicey operations Follow the numbers
More numbers in the ring Number lines in disguise Dicey operations in line Round and round the circle
Number detectives Ordering journeys Round the four dice
Four-digit targets Got it
Take three numbers Make 37
Number differences Twenty divided into six
Play to 37 Reach 100
Consecutive numbers Subtraction surprise
Subtraction surprise
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Number and place value
Recall multiplication facts up to 10 × Develop efficient mental and written
10 and related division facts strategies, and use appropriate digital
(ACMNA075) technologies, for multiplication and for
division where there is no remainder
I’m eight (ACMNA076)
Double or halve
Odd times even Double or halve
Count me in Our numbers
Multiplication square jigsaw Lots of lollies
Multiples grid Dicey operations
Times table shifts Four-digit targets
Table patterns go wild! A mixed-up clock
Multiplication squares Twenty divided into six
Round and round the circle Six ten total
Multiplication square jigsaw
Shape times shape
Let us divide!
Carrying cards
Zios and Zepts
What do you need?
Mystery matrix
Make 100
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Number and place value
Year 5 content descriptors
Identify and describe factors and Use estimation and rounding to check Solve problems involving multiplication Solve problems involving division by a
multiples of whole numbers and use the reasonableness of answers to of large numbers by one- or two-digit one-digit number, including those that
them to solve problems (ACMNA098) calculations (ACMNA099) numbers using efficient mental and result in a remainder (ACMNA101)
written strategies and appropriate
The deca tree Round the four dice digital technologies (ACMNA100) Dicey operations
Four-digit targets Reasoned rounding Dicey operations in line
Satisfying four statements Dicey operations Remainders
Flashing lights The deca tree Remainders game
Abundant numbers Four-digit targets Division rules
Factors and multiples game Dicey operations in line Grouping goodies
Three dice A square of numbers Lots of lollies
Factor track Use efficient mental and written All the digits Growing garlic
What do you need? strategies and apply appropriate digital Trebling
Factor lines technologies to solve problems Curious number
Factor-multiple chains (ACMNA291) Four go
Counting cogs Highest and lowest
Tug harder! Make 100
Swimming pool
Sea level
First connect three
Dicey operations
Dicey operations in line
Round the four dice
Number lines in disguise
Fifteen cards
Domino square
Got it
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Number and place value
Year 6 content descriptors
Identify and describe properties of Select and apply efficient mental and Select and apply efficient mental and Investigate everyday situations that
prime, composite, square and written strategies and appropriate written strategies and appropriate use integers; locate and represent
triangular numbers (ACMNA122) digital technologies to solve problems digital technologies to solve problems these numbers on a number line
involving addition and subtraction with involving addition and subtraction with (ACMNA124)
Square subtraction whole numbers (ACMNA123) whole numbers (ACMNA123)
Satisfying four statements continued … Tug harder!
Two primes make one square Tug harder! Swimming pool
Up and down staircases First connect three A square of numbers Sea level
One wasn’t square Dicey operations This Pied Piper of Hamlin First connect three
Cycling squares Dicey operations in line All the digits
Picture a pyramid … Round the four dice Trebling
Always, sometimes or never? Number Amy’s dominoes Mystery matrix
Odd squares Build it up Division rules
Cubes within cubes Dice in a corner Highest and lowest
Twenty divided into six Make 100
Reach 100 Four goodness sake
Subtraction surprise Orange drink
How do you do it? Pumpkin pie problem
Four-digit targets Finding 3D stacks
Remainders game
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Fractions and decimals
Year 1 content descriptor Year 2 content descriptor Year 3 content descriptor
Recognise and describe one-half as Recognise and interpret common uses Model and represent unit fractions,
one of two equal parts of a whole of halves, quarters and eighths of including 1/2, 1/4, 1/3 and 1/5 and
(ACMNA016) shapes and collections (ACMNA033) their multiples, to a complete whole
(ACMNA058)
Fair feast Fair feast
Halving Halving Halving
Using books: The doorbell rang Happy halving Happy halving
Two halves Fractional wall Chocolate
Matching fractions Fractional wall
Fractional triangles
Bryony’s triangle
Fraction match
Balance of halves
Year 4 content descriptors
Investigate equivalent fractions used in Count by quarters, halves and thirds, Recognise that the place value system
contexts (ACMNA077) including with mixed numerals; locate can be extended to tenths and
and represent these fractions on a hundredths, and make connections
Fractional wall number line (ACMNA078) between fractions and decimal
Fraction match notation (ACMNA079)
Tumbling down Chocolate
More fraction bars Fractional triangles Greater than or less than?
Extending fraction bars Fraction match
Fraction lengths Tumbling down
Rectangle tangle Balance of halves
Matching fractions
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Fractions and decimals
Year 5 content descriptors
Compare and order common unit Investigate strategies to solve Recognise that the place value system Compare, order and represent
fractions and locate and represent problems involving addition and can be extended beyond hundredths decimals (ACMNA105)
them on a number line (ACMNA102) subtraction of fractions with the same (ACMNA104)
denominator (ACMNA103) Greater than or less than?
Greater than or less than? Spiralling decimals
Chocolate Spiralling decimals
Fractional triangles
More fraction bars
Extending fraction bars
Balance of halves
Fraction lengths
A4 fraction addition
A4 fraction subtraction
Linked chains
Year 6 content descriptors
Compare fractions with related Solve problems involving addition and Find a simple fraction of a quantity Add and subtract decimals, with and
denominators and locate and subtraction of fractions with the same where the result is a whole number, without the use of digital technologies,
represent them on a number line or related denominators (ACMNA126) with and without the use of digital and use estimation and rounding to
(ACMNA125) technologies (ACMNA127) check the reasonableness of answers
More fraction bars (ACMNA128)
Rectangle tangle Extending fraction bars How do you do it?
Fraction lengths Andy’s marbles Round the dice decimals 1
A4 fraction addition Fractions in a box Round the dice decimals 2
A4 fraction subtraction Jumping
Linked chains
Fraction fascination
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Fractions and decimals
Multiply decimals by whole numbers Multiply and divide decimals by Make connections between equivalent
and perform divisions by non-zero powers of 10 (ACMNA130) fractions, decimals and percentages
whole numbers where the results are (ACMNA131)
terminating decimals, with and without
the use of digital technologies Doughnut percents
(ACMNA129) Matching fractions, decimals and
percentages
How do you do it?
Route product
Forgot the numbers
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Money and financial mathematics
Year 1 content descriptor Year 2 content descriptor Year 3 content descriptor Year 4 content descriptor
Recognise, describe and order Count and order small collections of Represent money values in multiple Solves problems involving purchases
Australian coins according to their Australian coins and notes according ways and count the change required and the calculation of change to the
value (ACMNA017) to their value (ACMNA034) for simple transactions to the nearest nearest fie cents with and without
five cents (ACMNA059) digital technologies (ACMNA080)
Shopping - Pirate Poundland (note: Shopping - Pirate Poundland (note:
use of UK pounds, will need to adapt need to adapt to cents) How do you see it? How do you see it?
to cents) Money bags (note: use of UK pence, Planning a school trip
will need to adapt to Australian cents) Money bags (note: use of UK pence,
Price match (note: use of UK pounds/ will need to adapt to Australian cents)
pence, will need to adapt to Australian Buying a balloon
cents) Plenty of pens (note: use of UK
pounds/pence, will need to adapt to
Australian cents)
Price match (note: use of UK pounds/
pence, will need to adapt to Australian
cents)
Year 5 content descriptor Year 6 content descriptor
Create simple financial plans Investigate and calculate percentage
(ACMNA106) discounts of 10%, 25% and 50% on
sale items, with and without the use of
Planning a school trip digital technologies (ACMNA132)
Would you rather? (Note: This task
needs to be modified to reference
Australian notes/ coins)
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Patterns and Algebra
Foundation content descriptor Year 1 content descriptor Year 2 content descriptors
Sort and classify familiar objects and Investigate and describe number Describe patterns with numbers and Solve problems by using number
explain the basis for these patterns formed by skip counting and identify missing elements sentences for addition or subtraction
classifications. Copy, continue and patterns with objects (ACMNA018) (ACMNA035) (ACMNA036)
create patterns with objects and Same length trains
drawings (ACMNA005) Five steps to 50 Buzzy bee Birthday cakes
Biscuit decorations Writing digits 4 Dom
Double trouble Noah Domino sequences Unit differences
Domino sequences Domino number patterns Dicey addition
I like… What could it be? Jumping squares
Light the lights Half time The add and take-away path
Light the lights again Eggs in baskets What was in the box?
The tall tower Super shapes
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Patterns and Algebra
Year 3 content descriptor Year 4 content descriptors
Describe, continue and create number Explore and describe number patterns Solve word problems by using number Use equivalent number sentences
patterns resulting from performing resulting from performing multiplication sentences involving multiplication or involving addition and subtraction to
addition or subtraction (ACMNA060) (ACMNA081) division where there is no remainder find unknown quantities (ACMNA083)
(ACMNA082)
Writing digits Doubling fives Getting the balance right
Eggs in baskets Double or halve Are you well balanced? Number balance
Birthday cakes Odd times even Pebbles Which symbol?
What was in the box? Ordering cards Multiply multiples 1 Super shapes
Doing and undoing Which symbol? Multiply multiples 2 Shape times shape
Secret number Magic plant Multiply multiples 3 Follow the numbers
Ordering cards The amazing splitting plant Two and two
Which symbol? The tomato and the bean
Ip Dip The deca tree
The tomato and the bean Table patterns go wild!
Number lines in disguise Flashing lights
A mixed-up clock Pebbles
Three neighbours Round and round the circle
Magic V Holes
Build it up
Diagonal sums
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Patterns and Algebra
Year 5 content descriptors Year 6 content descriptors
Describe, continue and create patterns Use equivalent number sentences Continue and create sequences Explore the use of brackets and the
with fractions, decimals and whole involving multiplication and division to involving whole numbers, fractions and order of operations to write number
numbers resulting from addition and find unknown quantities (ACMNA121) decimals; describe the rule used to sentences (ACMNA134)
subtraction (ACMNA107) create the sequence (ACMNA133)
A square of numbers
Number lines in disguise Trebling Consecutive numbers
Three neighbours Becoming maths detectives Music to my ears
Magic V Exploring number patterns you make Pebbles
Diagonal sums Multiply multiples 1 Becoming maths detectives
Domino sets Multiply multiples 2 Exploring number patterns you make
Break it up! Multiply multiples 3 The moons of Vuvv
Holes Up and down staircases
Two and two Domino sets
Break it up!
Holes
Button up
Button up some more
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