Nrich K-6 curriculum mapping document - Primary Learning
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https://primarylearning.com.au Nrich K-6 curriculum mapping document Mapping to the curriculum - Measurement and Geometry 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 NSW mathematics K-6 syllabus outcomes and descriptors for Measurement and Geometry. 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 NSW syllabus content outcomes only. All of these tasks potentially link to the working mathematically outcomes of communicating, problem solving and reasoning (based on the four proficiencies from the Australian Curriculum) however, it is more how the individual teacher utilises the tasks that determine their link to working mathematically. This resource maps task to the Measurement and Geometry strand, two other resources have been developed that link to Number and Algebra 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 Board of Studies NSW. (2012) Mathematics K-10 syllabus. Retrieved from https://syllabus.nesa.nsw.edu.au/download Nrich website www.nrich.maths.org all tasks © University of Cambridge Version 1.1 March 2019 Page 1 of 21
https://primarylearning.com.au
Length
Early Stage 1 MAe-9MG Stage 1 MA1-9MG Stage 2 MA2-9MG Stage 3 MA3-9MG
Use direct and indirect comparisons to Measure and compare the lengths of Measure, order and compare objects Choose appropriate units of
decide which is longer, and explain pairs of objects using uniform informal using familiar metric units of length measurement for length (ACMMG108)
their reasoning using everyday units (ACMMG019) (ACMMG061)
language (ACMMG006) How tall?
Making caterpillars Discuss and choose
Making caterpillars Long creatures Little man
Long creatures Sock washing line How tall?
Sock washing line Sizing them up Order, order!
Mud kitchen Can you do it too? Olympic starters
Building towers Car journey
Compare and order several shapes Use scaled instruments to measure Calculate the perimeters of rectangles
and objects based on length, using and compare lengths (ACMMG084) using familiar metric units
appropriate uniform informal units (ACMMG109)
(ACMMG037) How tall?
Order, order! Area and perimeter
Making caterpillars Car journey
Long creatures
Sock washing line
Mud kitchen
Sizing them up
The animals’ sports day
Order, order!
Making longer, making shorter
Version 1.1 March 2019 Page 2 of 21https://primarylearning.com.au
Length
Early Stage 1 MAe-9MG Stage 1 MA1-9MG Stage 2 MA2-9MG Stage 3 MA3-9MG
Recognise and use formal units to Use scaled instruments to measure Connect decimal representations to
measure the lengths of objects and compare temperatures the metric system (ACMMG135)
(ACMMG084)
How tall?
Order, order!
Car journey
Convert between common metric units
of length (ACMMG136)
Solve problems involving the
comparison of lengths using
appropriate units (ACMMG137)
Area and perimeter
Numerically equal
Dicey perimeter, dicey area
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Area
Early Stage 1 MAe-10MG Stage 1 MA1-10MG Stage 2 MA2-10MG Stage 3 MA3-10MG
Use direct comparison to decide which Measure and compare areas using Recognise and use formal units to Choose appropriate units of
shape has a larger area and explain uniform informal units measure and estimate the areas of measurement for area (ACMMG108)
their reasoning using everyday rectangles
language Wrapping parcels Area and perimeter
Sock washing line Area and perimeter Though the window (note: change to
Sock washing line Sizing them up Numerically equal dollar sign for Australian context)
Wallpaper Dicey perimeter, dicey area Numerically equal
Fitted
Dicey perimeter, dicey area
Compare and order several shapes Compare the areas of regular and Calculate the areas of rectangles
and objects based on area using irregular shapes by informal means using familiar metric units
appropriate uniform informal units (ACMMG087) (ACMMG109)
(ACMMG037)
Different sizes Area and perimeter
Wrapping parcels Wallpaper Though the window (note: change to
Sock washing line Fitted dollar sign for Australian context)
Sizing them up Numerically equal
Different sizes Fitted
Wallpaper Dicey perimeter, dicey area
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Area
Early Stage 1 MAe-10MG Stage 1 MA1-10MG Stage 2 MA2-10MG Stage 3 MA3-10MG
Compare objects using familiar metric Solve problems involving the
units of area (ACMMG290) comparison of areas using appropriate
units (ACMMG137)
Area and perimeter
Though the window (note: change to Area and perimeter
dollar sign for Australian context) Though the window (note: change to
Numerically equal dollar sign for Australian context)
Fitted Brush loads
Dicey perimeter, dicey area Numerically equal
Ribbon squares
Fitted
Dicey perimeter, dicey area
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Volume and capacity
Early Stage 1 MAe-11MG Stage 1 MA1-11MG Stage 2 MA2-11MG Stage 3 MA3-11MG
Use direct and indirect comparisons to Measure and compare the capacities Measure, order and compare objects Choose appropriate units of
decide which holds more, and explain of pairs of objects using uniform using familiar metric units of capacity measurement for volume and capacity
their reasoning using everyday informal units (ACMMG019) (ACMMG061) (ACMMG108)
language (ACMMG006)
Cooking Cooking Pouring problem
I have a box Water, water Bottles 1
Mud kitchen Bottles 2
Water, water Discuss and choose
Compare the cups
Oh! Harry!
Pouring problem
Compare and order several objects Compare objects using familiar metric Connect volume and capacity and
based on volume and capacity using units of volume (ACMMG290) their units of measurement
appropriate uniform informal units (ACMMG138)
(ACMMG037) Bottles 1
Bottles 2 Oh! Harry!
Cooking Discuss and choose Next size up
I have a box Little man
Mud kitchen Compare the cups
Water, water
Bottles 1
Bottles 2
Thirsty?
Compare the cups
Packing
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Volume and capacity
Early Stage 1 MAe-11MG Stage 1 MA1-11MG Stage 2 MA2-11MG Stage 3 MA3-11MG
Use scaled instruments to measure Connect decimal representations to
and compare capacities (ACMMG084) the metric system (ACMMG135)
Bottles 2
Compare the cups
Oh! Harry!
Convert between common metric units
of capacity (ACMMG136)
Calculate the volumes of rectangular
prisms (ACMMG160)
Making boxes
Next size up
Multilink cubes
Version 1.1 March 2019 Page 7 of 21https://primarylearning.com.au
Mass
Early Stage 1 MAe-12MG Stage 1 MA1-12MG Stage 2 MA2-12MG Stage 3 MA3-12MG
Use direct and indirect comparisons to Investigate mass using a pan balance Measure, order and compare objects Choose appropriate units of
decide which is heavier, and explain using familiar metric units of mass measurement for mass (ACMMG108)
their reasoning using everyday Wrapping parcels (ACMMG061)
language (ACMMG006) Balances
Presents Wrapping parcels
Wrapping parcels Spring scale Discuss and choose
Balances Weighted numbers Order, order!
Presents Weighted numbers
Spring scale
I have a box
Mud kitchen
Compare the masses of objects using Use scaled instruments to measure Connect decimal representations to
balance scales (ACMMG038) and compare masses (ACMMG084) the metric system (ACMMG135)
Wrapping parcels Wrapping parcels
Balances Order, order!
Cooking Weighted numbers
Presents
Spring scale
Weighted numbers
Convert between common metric units
of mass (ACMMG136)
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Time
Early Stage 1 MAe-13MG Stage 1 MA1-13MG Stage 2 MA2-13MG Stage 3 MA3-13MG
Compare and order the duration of Name and order months and seasons Tell time to the minute and investigate Compare 12- and 24-hour time
events using the everyday language of (ACMMG040) the relationship between units of time systems and convert between them
time (ACMMG007) (ACMMG062) (ACMMG110)
Calendar muddle
Calendar muddle Order, order! The time is …
Timing What is the time? 5 on the clock
Times of day Clocks Approaching midnight
Two clocks
The time is …
Approaching midnight
Wonky watches
Watch the clock
Times
Clock hands
Connect days of the week to familiar Use a calendar to identify the date and Convert between units of time Determine and compare the duration
events and actions (ACMMG008) determine the number of days in each (ACMMG085) of events
month (ACMMG041)
Calendar muddle Order, order! Discuss and choose
Snap Calendar muddle Olympic starters Olympic starters
Two clocks
Approaching midnight
Wonky watches
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Time
Early Stage 1 MAe-13MG Stage 1 MA1-13MG Stage 2 MA2-13MG Stage 3 MA3-13MG
Tell time on the hour on analog and Tell time to the half-hour (ACMMG020) Use am and pm notation and solve Interpret and use timetables
digital clocks simple time problems (ACMMG086) (ACMMG139)
What is the time?
Stop the clock Matching time
Matching time Approaching midnight
Clocks Wonky watches
Two clocks Watch the clock
Clock hands
Describe duration using months, Read and interpret simple timetables, Draw and interpret timelines using a
weeks, days and hours (ACMMG021) timelines and calendars given scale
Calendar muddle It figures
Timing
Times of day
The games’ medals
Snap
Matching time
Tell time to the quarter-hour using the
language of 'past' and
‘to’ (ACMMG039)
What is the time?
Matching time
Clocks
Two clocks
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Three-dimensional space
Early Stage 1 MAe-14MG Stage 1 MA1-14MG Stage 2 MA2-14MG Stage 3 MA3-14MG
Sort, describe and name familiar Recognise and classify familiar three- Make models of three-dimensional Compare, describe and name prisms
three-dimensional objects in the dimensional objects using obvious objects and describe key features and pyramids
environment (ACMMG009) features (ACMMG022) (ACMMG063)
Skeleton shapes
Presents Presents Building towers A puzzling cube
Mud kitchen Mud kitchen Packing Sponge sections
Building towers Building towers Tubes and tunnels Sorting logic blocks
Packing Building with solid shapes Rolling that cube
Tubes and tunnels Sorting logic blocks Skeleton shapes
Cubes
Cubes cut into four pieces
Triple cubes
Building blocks
Arranging cubes
Construct-o-straws
Making cuboids
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Three-dimensional space
Early Stage 1 MAe-14MG Stage 1 MA1-14MG Stage 2 MA2-14MG Stage 3 MA3-14MG
Describe the features of three- Investigate and represent three- Connect three-dimensional objects
dimensional objects (ACMMG043) dimensional objects using drawings with their nets and other two-
dimensional representations
Presents Rolling that cube (ACMMG111)
Packing Skeleton shapes
Tubes and tunnels Cubes Rolling that cube
Always, sometimes or Never? KS1 Shadow play Skeleton shapes
Building with solid shapes Cubes cut into four pieces Shadow play
Shadow play Triple cubes Cubes cut into four pieces
Sorting logic blocks A puzzling cube Triple cubes
Arranging cubes Making boxes
The third dimension Building blocks
Inky cube A puzzling cube
Multilink cubes Arranging cubes
Little boxes Sponge sections
Cereal packets The third dimension
Making cuboids Inky cube
Multilink cubes
Construct-o-straws
Little boxes
Cereal packets
Cut nets
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Three-dimensional space
Early Stage 1 MAe-14MG Stage 1 MA1-14MG Stage 2 MA2-14MG Stage 3 MA3-14MG
Construct simple prisms and pyramids
(ACMMG140)
Skeleton shapes
Cubes
Triple cubes
Building blocks
Arranging cubes
Sponge sections
Multilink cubes
Construct-o-straws
Making cuboids
Two-dimensional space
Early Stage 1 MAe-15MG Stage 1 MA1-15MG Stage 2 MA2-15MG Stage 3 MA3-15MG
Sort, describe and name familiar two- Recognise and classify familiar two- Compare and describe features of Classify two-dimensional shapes and
dimensional shapes in the dimensional shapes using obvious two-dimensional shapes, including the describe their features
environment (ACMMG009) features (ACMMG022) special quadrilaterals
Always, sometimes or Never? KS1
Collecting Exploring 2D shapes Shapes in a bag Overlaps
Exploring 2D shapes Making a picture Shaping it Paper patchwork 1
Making footprints Shapes in a bag What’s happening? Paper patchwork 2
Shapes in a bag Jig shapes Jig shapes Triangle or no triangle?
Matching triangles Poly plug rectangles Overlaps Square corners
Data shapes Seeing squares Shapely lines Overlapping again
Paper partners Chain of changes Poly plug rectangles Move those halves
Triangle or no triangle? Let’s investigate triangles Board block challenge
Matching triangles Seeing squares What shape?
Data shapes Paper patchwork 1 Nine-pin triangles
Paper partners Paper patchwork 2 Tri.'s
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Two-dimensional space
Early Stage 1 MAe-15MG Stage 1 MA1-15MG Stage 2 MA2-15MG Stage 3 MA3-15MG
Sort, describe and name familiar two- Recognise and classify familiar two- Compare and describe features of Classify two-dimensional shapes and
dimensional shapes in the dimensional shapes using obvious two-dimensional shapes, including the describe their features
environment (ACMMG009) features (ACMMG022) special quadrilaterals
Always, sometimes or Never? KS1
Collecting Exploring 2D shapes Shapes in a bag Overlaps
Exploring 2D shapes Making a picture Shaping it Paper patchwork 1
Making footprints Shapes in a bag What’s happening? Paper patchwork 2
Shapes in a bag Jig shapes Jig shapes Triangle or no triangle?
Matching triangles Poly plug rectangles Overlaps Square corners
Data shapes Seeing squares Shapely lines Overlapping again
Paper partners Chain of changes Poly plug rectangles Move those halves
Triangle or no triangle? Let’s investigate triangles Board block challenge
Matching triangles Seeing squares What shape?
Data shapes Paper patchwork 1 Nine-pin triangles
Paper partners Paper patchwork 2 Tri.'s
Three fingers and a loop of string Chain of changes Tessellating triangles
What shape? Triangle or no triangle? Cut it out
Geoboards Stick images Quad match
Where are they? Square corners Is a square a rectangle?
Egyptian rope Overlapping again Making rectangles
Move those halves Where are they?
Board block Always, sometimes or never? Shape
Seven sticks Triangles all around
Three fingers and a loop of string Name that triangle
Board block challenge
What shape?
Shapes on the playground
Penta places
Tetrafit
Geoboards
Polydrons
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Two-dimensional space
Early Stage 1 MAe-15MG Stage 1 MA1-15MG Stage 2 MA2-15MG Stage 3 MA3-15MG
Compare and describe features of
two-dimensional shapes, including the
special quadrilaterals (continued …)
Quad match
Is a square a rectangle?
Penta play
Making rectangles
Where are they?
Always, sometimes or never? Shape
Quadrilaterals
Egyptian rope
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Two-dimensional space
Early Stage 1 MAe-15MG Stage 1 MA1-15MG Stage 2 MA2-15MG Stage 3 MA3-15MG
Describe and draw two-dimensional Identify symmetry in the environment Describe translations, reflections and
shapes, with and without the use of (ACMMG066) rotations of two-dimensional shapes
digital technologies (ACMMG042) (ACMMG114)
Shaping it
Making footprints National flags Overlaps
Making a picture Three squares
Shaping it Exploding squares
What’s happening? Square corners
Always, sometimes or Never? KS1 Overlapping again
Shapely lines Move those halves
Let’s investigate triangles Inky cube
Seeing squares Nine-pin triangles
Paper patchwork 1 Tri.'s
Paper patchwork 2 Penta places
Chain of changes Tetrafit
Complete the square Polydrons
Inside triangles Bracelets
Board block Cut it out
Seven sticks Baravelle
Three fingers and a loop of string Let us reflect
Board block challenge Penta play
What shape? Logo challenge 1 - Star square
Shapes on the playground Triangles all around
Penta places Reflector! Rotcelfer
Tetrafit Egyptian rope
Geoboards Transformations on a pegboard
Polydrons
Shape draw
Penta play
Where are they?
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Two-dimensional space
Early Stage 1 MAe-15MG Stage 1 MA1-15MG Stage 2 MA2-15MG Stage 3 MA3-15MG
Investigate the effect of one-step Compare and describe two- Identify line and rotational symmetries
slides and flips, with and without the dimensional shapes that result from (ACMMG114)
use of digital technologies combining and splitting common
(ACMMG045) shapes, with and without the use of Exploding squares
digital technologies (ACMMG088) Colouring triangles
Shaping it Matching triangles
Jig shapes What’s happening? Inky cube
Overlaps Overlaps Baravelle
Three squares Three squares Stringy quads
Exploding squares Paper patchwork 1 National flags
Chain of changes Paper patchwork 2 Symmetry challenge
Matching triangles Tangram tangle
Turning A city of towers
Olympic Rings Triangle animals
Turning man Torn shapes
Cover the camel Stick images
Overlapping again Overlapping again
Move those halves Move those halves
Tessellating triangles Penta places
Penta places Tetrafit
Tetrafit Polydrons
Polydrons Four triangles puzzle
Cut and make Cut and make
Tangram paradox Square to L
Let us reflect Tangram paradox
Penta play Penta play
Making rectangles
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Two-dimensional space
Early Stage 1 MAe-15MG Stage 1 MA1-15MG Stage 2 MA2-15MG Stage 3 MA3-15MG
Identify and describe half-turns and Create symmetrical patterns, pictures Apply the enlargement transformation
quarter-turns (ACMMG046) and shapes, with and without the use to familiar two-dimensional shapes
of digital technologies (ACMMG091) and explore the properties of the
Shaping it resulting image compared with the
Jig shapes Shaping it original (ACMMG115)
Overlaps Exploding squares
Matching triangles Colouring triangles Twice as big
Turning Poly plug pattern
Turning man Repeating pattern
Cover the camel Circles, circles
Overlapping again School fair necklaces
Move those halves Stick images
Tessellating triangles Seven sticks
Penta places Jumping reindeer
Tetrafit Tessellating triangles
Polydrons Penta places
Penta play Two by one
Tetrafit
Polydrons
Bracelets
Cut and make
Let us reflect
Penta play
Symmetry challenge
Investigate the diagonals of two-
dimensional shapes
Jumping reindeer
Diagonal chase
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Two-dimensional space
Early Stage 1 MAe-15MG Stage 1 MA1-15MG Stage 2 MA2-15MG Stage 3 MA3-15MG
Identify and name parts of circles
Making spirals
Investigate combinations of
translations, reflections and rotations,
with and without the use of digital
technologies (ACMMG142)
Overlaps
Three squares
Tangram tangle
Cover the camel
Square corners
Overlapping again
Move those halves
Inky cube
Tessellating triangles
Let us reflect
Triangles all around
Transformations on a pegboard
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Angles
Stage 2 MA2-16MG Stage 3 MA3-16MG
Identify angles as measures of turn Estimate, measure and compare
and compare angle sizes in everyday angles using degrees (ACMMG112)
situations (ACMMG064)
The numbers give the design
Walking round a triangle Estimating angles
Six places to visit Logo challenge 1 - Star square
Olympic turns How safe are you?
Round a hexagon Round a hexagon
National flags
Compare angles and classify them as Construct angles using a protractor
equal to, greater than or less than a (ACMMG112)
right angle (ACMMG089)
Olympic turns
Caterpillars
Take the right angle
Olympic turns
National flags
Investigate, with and without the use of
digital technologies, angles on a
straight line, angles at a point, and
vertically opposite angles; use the
results to find unknown angles
(ACMMG141)
The numbers give the design
Estimating angles
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Position
Early Stage 1 MAe-16MG Stage 1 MA1-16MG Stage 2 MA2-17MG Stage 3 MA3-17MG
Describe position and movement Give and follow directions to familiar Create and interpret simple grid maps Use a grid-reference system to
(ACMMG010) locations (ACMMG023) to show position and pathways describe locations (ACMMG113)
(ACMMG065)
Mud kitchen Paths Transformation tease
Paths Position with Wellies (note: may need Six places to visit
Position with Wellies (note: may need to call them boots or gumboots)
to call them boots or gumboots) Scooters, bikes and trikes
Small world play Small world play
Two rings Six places to visit
Olympic Rings
Six places to visit
Interpret simple maps of familiar Use simple scales, legends and Describe routes using landmarks and
locations and identify the relative directions to interpret information directional language (ACMMG113)
positions of key features (ACMMG044) contained in basic maps
(ACMMG090) Six places to visit
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