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MathsBites is based on the NSW syllabus, but it also aligns with every concept your child learns in the Australian Curriculum. Each topic is matched to its NSW equivalent and brought to life through engaging MathsBites videos.

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Stage 1, Part A - Year 1

Representing whole numbers

Use counting sequences of ones with two-digit numbers and beyond

  • Identify the number before and after a given two-digit number

  • Count forwards and backwards by ones from a given number to at least 120

Number

AC9M1N01
recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts

Continue and create number patterns

  • Model and describe 'odd' and 'even' numbers using items paired in two rows

  • Count forwards and backwards by twos from any starting point

AC9M2A03 (Year 2 content)
recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving 

Represent numbers on a line

  • Sequence numbers and arrange them on a line by considering the order and size of those numbers

  • Locate the approximate position of multiples of 10 on a model of a number line from 0 to 100

AC9M1N01
recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts

AC9M1N02
partition one- and two-digit numbers in different ways using physical and virtual materials, including partitioning two-digit numbers into tens and ones

AC9M1N03
quantify sets of objects, to at least 120, by partitioning collections into equal groups using number knowledge and skip counting

AC9M1N05
use mathematical modelling to solve practical problems involving additive situations including simple money transactions; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem

Represent the structure of groups of ten in whole numbers

  • Recognise that ten ones is the same as one ten

  • Use 10 as a reference in forming numbers from 11 to 20

  • Count large sets of objects by systematically grouping in tens

  • Partition two-digit numbers to show quantity values

  • Use number lines and number charts to assist with locating the nearest ten to a number

  • Estimate, to the nearest ten, the number of objects in a collection and check by counting in groups of ten

AC9M1N01
recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts


Use advanced count-by-one strategies to solve addition and subtraction problems

  • Apply the terms ‘add’, ‘plus’, ‘equals’, ‘is equal to’, ‘is the same as’, ‘take away’, ‘minus’ and ‘the difference between’ to describe combining and separating quantities

  • Recognise and use the symbols for plus (+), minus (–) and equals (=)

  • Record number sentences in a variety of ways using drawings, words, numerals and symbols

  • Fluently use advanced count-by-one strategies including counting on and counting back to solve addition and subtraction problems involving one- and two-digit numbers

Combining and Separating Quantities

Number

AC9M1N04
add and subtract numbers within 20, using physical and virtual materials, part-part-whole knowledge to 10 and a variety of calculation strategies

 AC9M1N05
use mathematical modelling to solve practical problem involving additive situations including simple money transactions; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem

 AC9M2N06 (Year 2 content)
use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the situation

Recognise and recall number bonds up to ten

  • Recognise, recall and record combinations of two numbers that add up or bond to form 10

  • Model and record patterns for individual numbers up to ten by making all possible whole-number combinations

  • Create, recall and recognise combinations of two numbers that add up to numbers less than 10

  • Describe combinations for numbers using words such as more than, less than and double

AC9M1N02
partition one- and two-digit numbers in different ways using physical and virtual materials, including partitioning two-digit numbers into tens and ones 

AC9M2A02 (Year 2 content)
recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts

AC9M2N04 (Year 2 content)
add and subtract one- and two-digit numbers, representing problems using number sentences, and solve using part-part-whole reasoning and a variety of calculation strategies

AC9M1N05
use mathematical modelling to solve practical problems involving additive situations including simple money transactions; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem

AC9M2A02 (Year 2 content)
recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts

Use flexible strategies to solve addition and subtraction problems

  • Use non-count-by-one strategies such as using doubles for near doubles and combining numbers that add to ten

  • Represent addition and subtraction using structured materials such as a bead string or similar model

  • Select and apply strategies using number bonds to solve addition and subtraction problems with one- and two-digit numbers by partitioning numbers using quantity value and bridging to 10

AC9M1N04
add and subtract numbers within 20, using physical and virtual materials, part-part-whole knowledge to 10 and a variety of calculation strategies

AC9M1N05
use mathematical modelling to solve practical problems involving additive situations including simple money transactions; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem

AC9M2A02 (Year 2 content)
recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts

Represent equality

  • Use the equals sign to record equivalent number sentences involving addition, and to mean 'is the same as', rather than as an indication to perform an operation

  • Model the commutative property for addition and apply it to aid the recall of addition facts

  • Recall related addition and subtraction facts for numbers to at least 10


Forming Groups

Count in multiples using rhythmic and skip counting

  • Count by twos, threes, fives and tens using rhythmic counting and skip counting

Number & Algebra

AC9M1A01

recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects, formed by skip counting, initially by twos, fives and tens

 

AC9M1A02
recognise, continue and create repeating patterns with numbers, symbols, shapes and objects, identifying the repeating unit

Use skip counting patterns

  • Identify and describe patterns when skip counting forwards or backwards by twos, fives and tens

  • Determine a missing number in a number pattern with a constant difference

  • Describe how the missing number in a number pattern was determined

AC9M1A01
recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects, formed by skip counting, initially by twos, fives and tens.

Model and use equal groups of objects to represent multiplication

  • Model and describe collections of objects as groups of

  • Determine and distinguish between the number of groups and the number in each group when describing collections of objects

  • Find the total number of objects using skip counting of equal groups of a known size

AC9M1N06
use mathematical modelling to solve practical problems involving equal sharing and grouping; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem

AC9M1N06
use mathematical modelling to solve practical problems involving equal sharing and grouping; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem

AC9M2N02 (Year 2 content)
partition, rearrange, regroup and rename two- and three-digit numbers using standard and non-standard groupings; recognise the role of a zero digit in place value notation

AC9M2N06 (Year 2 content)
use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the situation

Recognise and represent division

  • Use concrete materials to model a half of a collection and show the relation between the half and the whole

  • Model sharing division by distributing a collection of objects equally into a given number of groups to determine how many in each group

  • Model grouping division by determining the number of groups of a given size that can be formed

  • Describe the part left over when a collection cannot be distributed equally using the given group size


Geometric Measure

Position: Follow directions to familiar locations

  • Give and follow directions, including directions involving turns to the left and right, to move between familiar locations

  • Give and follow instructions to position objects in models and drawings

  • Describe the path from one location to another on drawings and diagrams

Measurement & Space

AC9M1SP02
give and follow directions to move people and objects to different locations within a space

Length: Measure the lengths of objects using uniform informal units

  • Use uniform informal units to measure lengths and distances by placing the units end to end without gaps or overlaps

  • Select appropriate uniform informal units to measure lengths and distances

  • Recognise and explain the relationship between the size of a unit and the number of units needed

  • Count informal units to measure lengths or distances and describe the part left over

  • Record lengths and distances by referring to the number and type of unit used

  • Use a single informal unit repeatedly (iteratively) to measure length

AC9M1M02
measure the length of shapes and objects using informal units, recognising that units need to be uniform and used end-to-end

Length: Compare lengths using uniform informal units

  • Compare the lengths of two or more objects using appropriate uniform informal units and check by placing the objects side by side and aligning the ends

  • Explain why the length of an object remains constant when rearranged

  • Estimate lengths, indicating the number and type of unit used and check by measuring

AC9M1M01
compare directly and indirectly and order objects and events using attributes of length, mass, capacity and duration, communicating reasoning

Length: Subdivide lengths to find halves and quarters

  • Use concrete materials to model both half and quarters of a whole length, highlighting the length

  • Identify two equal parts and the relationship of the parts to the whole length, linking words and images

  • Recognise when lengths have or have not been divided into halves and quarters

AC9M2M02 (Year 2 content)
identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events


2D shapes: Recognise and classify shapes using obvious features

  • Explore, manipulate and describe features of polygons

  • Use the terms ‘side’, ‘vertex’ and ‘two-dimensional’ to describe plane (flat) shapes

  • Create repeating linear patterns with shapes, including two-shape and three-shape patterns

  • Compare, sort and classify polygons according to the number of sides or vertices

  • Select and name a shape from a description of its features, identifying triangles, quadrilaterals, pentagons, hexagons and octagons

  • Recognise that shapes with the same name may have sides of equal or different lengths

  • Identify shapes presented in different orientations

Two-dimensional spatial structure

Space

AC9M2A01
recognise, describe and create additive patterns that
increase or decrease by a constant amount, using numbers, shapes and objects, and identify missing 
elements in the pattern

AC9M1SP01
make, compare and classify familiar shapes; recognise familiar shapes and objects in the environment, identifying the similarities and differences between them

AC9M2SP01
recognise, compare and classify shapes, referencing the number of sides and using spatial terms such as “opposite”, “parallel”, “curved” and “straight”

2D shapes: Transform shapes with slides and reflections

  • Recognise that sliding or reflecting a shape does not change its size or features (Reasons about spatial relations)

  • Identify and create a slide (translation) or reflection of a single shape and use the terms ‘slide’ (translation) and ‘reflection’ to describe the movement of the shape

  • Make designs with symmetry from reflection using paper-folding, mirrors, drawings or paintings

No associated ACARA code

Area: Indirectly compare area

  • Indirectly compare the areas of two surfaces that cannot be moved or superimposed

  • Predict which of two similar shapes has the larger area and check by covering

No associated ACARA code

Area: Measure areas using uniform informal units

  • Explore area using uniform informal units to cover the surface in rows or columns without gaps or overlaps

  • Measure area by selecting and using appropriate uniform informal units

  • Explain the relationship between the size of a unit and the number of units needed to measure an area

  • Explain why the area remains constant when units are rearranged

  • Record areas by referring to the number and type of uniform informal unit used

  • Identify any parts of units left over when counting uniform informal units to measure area

  • Estimate areas by referring to the number and type of uniform informal unit used and check by measuring

No associated ACARA code


3D objects: Recognise familiar three-dimensional objects

  • Use the term ‘three-dimensional’ to describe a range of objects

  • Distinguish between objects, which are three-dimensional (3D) and shapes which are two-dimensional (2D)

  • Identify and name familiar three-dimensional objects, including cubes, cylinders, spheres and rectangular prisms

Three-dimensional spatial structure

Measurement

No associated ACARA code

3D objects: Sort and describe three-dimensional objects

  • Manipulate and describe familiar three-dimensional objects

  • Use the term ‘surface' in describing familiar three-dimensional objects

  • Sort familiar three-dimensional objects according to obvious features

  • Use the term ‘face’ to describe the flat surfaces of three-dimensional objects with straight edges

  • Select and name a familiar three-dimensional object from a description of its features

No associated ACARA code

Volume: Measure and compare the internal volumes (capacities) of containers by filling

  • Use uniform informal units to measure how much a container will hold by counting the number of times a smaller container can be filled and emptied into the container being measured

  • Select appropriate informal units to measure the capacities of containers

  • Recognise and explain the relationship between the size of a unit and the number of units needed

  • Compare the internal volumes of two or more containers using appropriate uniform informal units

  • Recognise and explain why containers of different shapes may have the same internal volume

  • Estimate how much a container holds by referring to the number and type of uniform informal unit used and check by measuring

AC9M1M01
compare directly and indirectly and order objects and events using attributes of length, mass, capacity and duration, communicating reasoning

Volume: Measure the internal volume (capacity) of containers by packing

  • Pack cubic units (eg blocks) into rectangular containers so that there are no gaps

  • Recognise that cubes pack better than other objects in rectangular containers

  • Estimate and measure the internal volume of a container by filling the container with uniform informal units and counting the number of units used

  • Explain that if there are gaps when packing and stacking, this will affect the accuracy of measuring the internal volume

No associated ACARA code

Volume: Construct volumes using cubes

  • Explore different rectangular prisms that can be made from a given number of cubes

  • Devise and explain strategies for stacking and counting units to form a rectangular prism

  • Record volumes, referring to the number and type of uniform informal unit used

AC9M1SP01
make, compare and classify familiar shapes; recognise familiar shapes and objects in the environment, identifying the similarities and differences between them.


Non-spatial Measure

Mass: Investigate mass using an equal-arm balance

  • Place objects on either side of an equal-arm balance to obtain a level balance

  • Use an equal-arm balance to compare the masses of two objects and record, which is heavier or lighter

  • Predict the action of an equal-arm balance before placing particular objects in each pan

  • Use a balance to find two collections of objects that have the same mass

  • Compare and order the masses of two or more objects by hefting, and check using an equal-arm balance

Measurement

AC9M1M01
compare directly and indirectly and order objects and events using attributes of length, mass, capacity and duration, communicating reasoning.

Time: Name and order the cycle of months

  • Name and order the months of the year

  • Recall the number of days in each month

  • Identify a day and date using a Gregorian calendar

  • Recognise monthly and annual cycles

AC9M1M03
describe the duration and sequence of events using years, months, weeks, days and hours.

Time: Tell time to the half-hour

  • Read analog clocks to the half-hour using the terms ‘o'clock’ and ‘half past’

  • Describe the position of the hands on a clock for the half-hour

  • Connect the use of half turns to the turn of the minute hand for the passing of the half-hour

  • Explain why the hour hand on a clock is halfway between successive hour-markers when the minute hand shows the half-hour (Reasons about relations)

  • Describe everyday events with particular hour and half-hour times

  • Record hour and half-hour time, making connections between analog and digital clocks

AC9M2M02 (Year 2 content)
identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events.


Ask questions and gather data

  • Investigate a topic of interest by choosing suitable questions to obtain appropriate data

  • Gather data and track what has been counted by using concrete materials, tally marks, lists or symbols

Data

Statistics

Represent data with objects and drawings and describe the displays

  • Use concrete materials or pictures of objects as symbols to create data displays where one object or picture represents one data value

  • Describe information presented in one-to-one data displays

  • Use comparative language to describe information presented in a display, such as ‘more than' and ‘less than’

  • Interpret a data display and identify the biggest or smallest values

AC9M1ST01
acquire and record data for categorical variables in various ways including using digital tools, objects, images, drawings, lists, tally marks and symbols

AC9M1ST02
represent collected data for a categorical variable using one-to-one displays and digital tools where appropriate; compare the data using frequencies and discuss the findings


Chance

Identify and describe possible outcomes

  • Identify possible outcomes of familiar activities and events

  • Describe the chance of possible outcomes for familiar activities and events

Probability

No associated ACARA code

It’s a lot, right?

Don’t worry … MathsBites walks you through every single one, so that you are:

  • clear on exactly what your child is learning and how to help using the language and strategies they’ll use in class

  • ready to help them work with the maths concepts that are a part of their everyday lives

  • prepared, so when they get ‘stuck’, you can help them through

  • proactive rather than reactive.

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