Scope and Sequence Level
3 with Learning Intentions
Each term revisits
concepts allowing teaching and learning to take individual students to higher
levels of understanding.
Week

Term 1

Term 2

Term 3

Term 4

1

Number and place
value
Recognise,
model, represent and order numbers to at least 10 000 (ACMNA052)
·
Read, write and order numbers to 10 000. (F)
Apply
place value to partition, rearrange and regroup numbers to at least 10 000 to
assist calculations and solve problems (ACMNA053)
·
Rename larger numbers using place value and
using other non place value partitions. (F)
·
Partition larger numbers into place value
parts to use to assist calculations (Partial sums, Partial products). (R,F)

Number and place value
Recognise, model, represent and order numbers to at least 10
000 (ACMNA052)
·
Read, write and order numbers to 10 000. (F)
Apply place value to partition, rearrange and regroup numbers
to at least 10 000 to assist calculations and solve problems (ACMNA053)
·
Rename larger numbers using place value and
using other non place value partitions. (F)
·
Partition larger numbers into place value
parts to use to assist calculations (Partial sums, Partial products). (R,F)

Number and place value
Recognise, model, represent and order numbers to at least 10
000 (ACMNA052)
·
Read, write and order numbers to 10 000. (F)
Apply place value to partition, rearrange and regroup numbers
to at least 10 000 to assist calculations and solve problems (ACMNA053)
·
Rename larger numbers using place value and
using other non place value partitions. (F)
·
Partition larger numbers into place value
parts to use to assist calculations (Partial sums, Partial products). (R,F)

Number and place value
Recognise, model, represent and order numbers to at least 10
000 (ACMNA052)
·
Read, write and order numbers to 10 000. (F)
Apply place value to partition, rearrange and regroup numbers
to at least 10 000 to assist calculations and solve problems (ACMNA053)
·
Rename larger numbers using place value and
using other non place value partitions. (F)
·
Partition larger numbers into place value
parts to use to assist calculations (Partial sums, Partial products). (R,F)

2

Number and place
value
Recognise
and explain the connection between addition and subtraction (ACMNA054)
·
Understand subtraction is the inverse of addition (U)
·
Be able to write addition and subtraction fact family number sentences
for a set of numbers. (F)
Recall
addition facts for singledigit numbers and related subtraction facts to
develop increasingly efficient mental strategies for computation(ACMNA055)
·
Understand subtraction is the inverse of addition (U)
·
Be able to write addition and subtraction fact family number sentences
for a set of numbers. (F)
Investigate
the conditions required for a number to be odd or even and identify odd and
even numbers(ACMNA051)
·
Explain if and why a number is odd or even.
(U)

Number and place
value
Recall
multiplication facts of two, three, five and ten and related division facts (ACMNA056)
·
Know multiplication facts for 2’s, 3’s, 5’s and 10’s. (F)
·
Relate skip counting to multiplication to division. (U)
Represent
and solve problems involving multiplication using efficient mental and
written strategies and appropriate digital technologies(ACMNA057)
·
Use a range of strategies for multiplication such as the area model
and the partitioning of numbers.(U,F)
Recognise
and explain the connection between addition and subtraction (ACMNA054)
·
Understand subtraction is the inverse of addition (U)
·
Be able to write addition and subtraction fact family number sentences
for a set of numbers. (F)
Recall
addition facts for singledigit numbers and related subtraction facts to
develop increasingly efficient mental strategies for computation(ACMNA055)
·
Know addition facts and strategies such as compliments to ten, doubles
and near doubles and counting by tens and ones forwards and backwards. (F)
·
Apply a range of mental and written strategies to solve the result of addition
and subtraction calculations such as partial sums and compensation. (U,F)

Number and place
value
Recall
multiplication facts of two, three, five and ten and related division facts (ACMNA056)
·
Know multiplication facts for 2’s, 3’s, 5’s and 10’s. (F)
·
Relate skip counting to multiplication to division. (U)
Represent
and solve problems involving multiplication using efficient mental and
written strategies and appropriate digital technologies(ACMNA057)
·
Use a range of strategies for multiplication such as the area model
and the partitioning of numbers.(U,F)
Recognise
and explain the connection between addition and subtraction (ACMNA054)
·
Understand subtraction is the inverse of addition (U)
·
Be able to write addition and subtraction fact family number sentences
for a set of numbers. (F)
Recall addition facts for
singledigit numbers and related subtraction facts to develop increasingly
efficient mental strategies for computation(ACMNA055)
·
Know addition facts and strategies such as compliments to ten, doubles
and near doubles and counting by tens and ones forwards and backwards. (F)
·
Apply a range of mental and written strategies to solve the result of addition
and subtraction calculations such as partial sums and compensation. (U,F)

Number and place
value
Recall
multiplication facts of two, three, five and ten and related division facts (ACMNA056)
·
Know multiplication facts for 2’s, 3’s, 5’s and 10’s. (F)
·
Relate skip counting to multiplication to division. (U)
Represent
and solve problems involving multiplication using efficient mental and
written strategies and appropriate digital technologies(ACMNA057)
·
Use a range of strategies for multiplication such as the area model
and the partitioning of numbers.(U,F)
Recognise
and explain the connection between addition and subtraction (ACMNA054)
·
Understand subtraction is the inverse of addition (U)
·
Be able to write addition and subtraction fact family number sentences
for a set of numbers. (F)
Recall addition facts for
singledigit numbers and related subtraction facts to develop increasingly
efficient mental strategies for computation(ACMNA055)
·
Know addition facts and strategies such as compliments to ten, doubles
and near doubles and counting by tens and ones forwards and backwards. (F)
·
Apply a range of mental and written strategies to solve the result of addition
and subtraction calculations such as partial sums and compensation. (U,F)

3

Money and
financial mathematics
1.
Represent money values in
multiple ways and count the change required for simple transactions to the
nearest five cents (ACMNA059)
·
Partition money amounts using place value denominations ($100’s,
$10’s, $1’s) and also with other denomination partitions.(F)
·
Calculate change using strategies such as counting up. (F)
·
Solve addition and subtraction problems using
money as a context using strategies such as counting on for addition and
counting up for subtraction. (F)
Recognise,
model, represent and order numbers to at least 10 000 (ACMNA052)
·
Read, write and order numbers to 10 000. (F)
Apply
place value to partition, rearrange and regroup numbers to at least 10 000 to
assist calculations and solve problems (ACMNA053)
·
Rename larger numbers using place value and
using other non place value partitions. (F)
·
Partition larger numbers into place value
parts to use to assist calculations (Partial sums, Partial products). (R,F)

Money and
financial mathematics
3.
Represent money values in
multiple ways and count the change required for simple transactions to the
nearest five cents (ACMNA059)
·
Partition money amounts using place value denominations ($100’s,
$10’s, $1’s) and also with other denomination partitions.(F)
·
Calculate change using strategies such as counting up. (F)
·
Solve addition and subtraction problems using
money as a context using strategies such as counting on for addition and
counting up for subtraction. (F)
Recognise,
model, represent and order numbers to at least 10 000 (ACMNA052)
·
Read, write and order numbers to 10 000. (F)
Apply
place value to partition, rearrange and regroup numbers to at least 10 000 to
assist calculations and solve problems (ACMNA053)
·
Rename larger numbers using place value and
using other non place value partitions. (F)
·
Partition larger numbers into place value
parts to use to assist calculations (Partial sums, Partial products). (R,F)

Money and
financial mathematics
5.
Represent money values in
multiple ways and count the change required for simple transactions to the
nearest five cents (ACMNA059)
·
Partition money amounts using place value denominations ($100’s,
$10’s, $1’s) and also with other denomination partitions.(F)
·
Calculate change using strategies such as counting up. (F)
·
Solve addition and subtraction problems using
money as a context using strategies such as counting on for addition and
counting up for subtraction. (F)
Recognise,
model, represent and order numbers to at least 10 000 (ACMNA052)
·
Read, write and order numbers to 10 000. (F)
Apply
place value to partition, rearrange and regroup numbers to at least 10 000 to
assist calculations and solve problems (ACMNA053)
·
Rename larger numbers using place value and
using other non place value partitions. (F)
·
Partition larger numbers into place value
parts to use to assist calculations (Partial sums, Partial products). (R,F)

Money and
financial mathematics
7.
Represent money values in
multiple ways and count the change required for simple transactions to the
nearest five cents (ACMNA059)
·
Partition money amounts using place value denominations ($100’s,
$10’s, $1’s) and also with other denomination partitions.(F)
·
Calculate change using strategies such as counting up. (F)
·
Solve addition and subtraction problems using
money as a context using strategies such as counting on for addition and
counting up for subtraction. (F)
Recognise,
model, represent and order numbers to at least 10 000 (ACMNA052)
·
Read, write and order numbers to 10 000. (F)
Apply
place value to partition, rearrange and regroup numbers to at least 10 000 to
assist calculations and solve problems (ACMNA053)
·
Rename larger numbers using place value and
using other non place value partitions. (F)
·
Partition larger numbers into place value
parts to use to assist calculations (Partial sums, Partial products). (R,F)

4

Using units of measurement
Measure,
order and compare objects using familiar metric units of length, mass and capacity(ACMMG061)
Recognise
the importance of using common units of measurement. (R)
Recognise
and use centimetres and metres, grams and kilograms, and millilitres and
litres. (F)

Using units of measurement
Measure,
order and compare objects using familiar metric units of length, mass and
capacity(ACMMG061)
Recognise
the importance of using common units of measurement. (R)
Recognise
and use centimetres and metres, grams and kilograms, and millilitres and
litres. (F)
Tell
time to the minute and investigate the relationship between units of time (ACMMG062)
·
Tell and write time to the minute. (F)
·
Understand, use and order units of time. (U,F)

Using units of measurement
Measure,
order and compare objects using familiar metric units of length, mass and
capacity(ACMMG061)
·
Recognise the importance of using common units of measurement. (R)
·
Recognise and use centimetres and metres, grams and kilograms, and
millilitres and litres. (F)

Using units of measurement
Measure,
order and compare objects using familiar metric units of length, mass and
capacity(ACMMG061)
·
Recognise the importance of using common units of measurement. (R)
·
Recognise and use centimetres and metres, grams and kilograms, and
millilitres and litres. (F)
·
Tell time to the minute and
investigate the relationship between units of time (ACMMG062)
·
Tell and write time to the minute. (F)
·
Understand, use and order units of time. (U,F)

5

Fractions and decimals
Model
and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples
to a complete whole(ACMNA058)
Understand and model unit fractions. Find and relate unit fractions of
a group through sharing (such as shared between (÷) 3 is 1/3)
Count by ½’s, 1/3’s and 1`/4’s to 1. (F)

Fractions and decimals
Model
and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples
to a complete whole(ACMNA058)
·
Understand and model unit fractions. Find and
relate unit fractions of a group through sharing (such as shared between (÷)
3 is 1/3)
·
Count by ½’s, 1/3’s and 1`/4’s to 1. (F)

Fractions and decimals
Model
and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples
to a complete whole(ACMNA058)
·
Understand and model unit fractions. Find and
relate unit fractions of a group through sharing (such as shared between (÷)
3 is 1/3)
·
Count by ½’s, 1/3’s and 1`/4’s to 1. (F)

Fractions and decimals
Model
and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples
to a complete whole(ACMNA058)
·
Understand and model unit fractions. Find and
relate unit fractions of a group through sharing (such as shared between (÷)
3 is 1/3)
·
Count by ½’s, 1/3’s and 1`/4’s to 1. (F)

6

Patterns and algebra
Describe,
continue, and create number patterns resulting from performing addition or
subtraction(ACMNA060)
Understand
and apply skip counting number patterns in solving problems involving repeated
addition and repeated subtraction (U,F)

Location and transformation
Create
and interpret simple grid maps to show position and pathways (ACMMG065)
·
Create simple maps. (P)
·
Use simple maps such as theme park or zoo
maps. (U)

Patterns and algebra
Describe,
continue, and create number patterns resulting from performing addition or
subtraction(ACMNA060)
·
Understand and apply skip counting number
patterns in solving problems involving repeated addition and repeated
subtraction (U,F)

Location and transformation
Create
and interpret simple grid maps to show position and pathways (ACMMG065)
·
Create simple maps. (P)
·
Use simple maps such as theme park or zoo
maps. (U)

7

Shape
Make
models of threedimensional objects and describe key features (ACMMG063)
·
Use nets to make threedimensional objects
and identify faces, edges and vertices. (P)
Identify
symmetry in the environment (ACMMG066)
·
Identify symmetrical patterns, pictures and shapes. (P)

Geometric reasoning
Identify
angles as measures of turn and compare angle sizes in everyday situations (ACMMG064)
·
Identify comparative sizes of angles in
everyday situations including the hands on a clock. (R)

Shape
Make models of threedimensional objects and describe key
features (ACMMG063)
·
Use nets to make threedimensional objects and identify faces, edges
and vertices. (P)
Identify symmetry in the environment (ACMMG066)
·
Identify symmetrical patterns, pictures and shapes. (P)

Geometric reasoning
Identify
angles as measures of turn and compare angle sizes in everyday situations (ACMMG064)
·
Identify comparative sizes of angles in
everyday situations including the hands on a clock. (R)

8


Chance
Conduct
chance experiments, identify and describe possible outcomes and recognise
variation in results (ACMSP067)
·
Conduct repeated trials of
chance experiments such as tossing a coin or drawing a ball from a bag and
identifying the variations between trials. (F,R)


Chance
Conduct
chance experiments, identify and describe possible outcomes and recognise
variation in results (ACMSP067)
·
Conduct repeated trials of
chance experiments such as tossing a coin or drawing a ball from a bag and
identifying the variations between trials. (F,R)

9


Data
Representation and Interpretation
1. Identify questions or issues for categorical variables.
Identify data sources and plan methods of data collection and recording (ACMSP068)
·
Collect and record
categorical data to answer an identified
question. (R)
2.
3.
Collect data, organise into
categories and create displays using lists, tables, picture graphs and simple
column graphs, with and without the use of digital technologies (ACMSP069)
·
Identify efficient ways to
record data, and representing and reporting the results of investigations including using digital technologies. (P)
Interpret and compare data displays (ACMSP070)
·
Compare and
contrast between displays of data and make appropriate conclusions. (U)


Data
Representation and Interpretation
4. Identify questions or issues for categorical variables.
Identify data sources and plan methods of data collection and recording (ACMSP068)
·
Collect and record
categorical data to answer an identified
question. (R)
5.
6.
Collect data, organise into
categories and create displays using lists, tables, picture graphs and simple
column graphs, with and without the use of digital technologies (ACMSP069)
·
Identify efficient ways to
record data, and representing and reporting the results of investigations including using digital technologies. (P)
Interpret and compare data displays (ACMSP070)
·
Compare and
contrast between displays of data and make appropriate conclusions. (U)

10





·
Contexts for Number and Place Value include
Whole Number, Length, Time, Mass, Volume and Money.
·
Money used to develop concepts of Place Value
including Decimals within Operations.
·
All strategies emphasise use of Place Value
components and mental computation (Partial Sums, Partial Products).
·
Teachers need to make explicit the links
between the four operations and Fractions.
·
Problem Solving activities aligned to topics
under investigation presented to students to further develop Proficiency
Strands of Australian Curriculum (Understanding, Fluency, Problem Solving &
Reasoning).
·
All activities emphasise the use of Number in
student relevant authentic open (self differentiating) contexts.
Please note that this
is a sample only and each school would make decisions regarding an agreed
sequence of learning based on student need and prior learning. 