YR4 MATHEMATICS v2 - Australian National Curriculum

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YR 4- MATHEMATICS
YEAR MATHEMATICS
LEVEL
STRANDS
MATH SUBSTRANDS
ELEMENT
CODE
ELEMENT
4
Number and
Algebra
Number and
(ACMNA001) Establish understanding
place value (Fof the language and
8)
processes of counting by
naming numbers in
sequences, initially to and
from 20, moving from
any starting point
(ACMNA001)
4
Number and
Algebra
Number and
(ACMNA071) Investigate and use the
place value (Fproperties of odd and
8)
even numbers
(ACMNA071)
4
Number and
Algebra
Number and
(ACMNA072) Recognise, represent and
place value (Forder numbers to at least
8)
tens of thousands
(ACMNA072)
4
Number and
Algebra
4
Number and
Algebra
Number and
(ACMNA073) Apply place value to
place value (Fpartition, rearrange and
8)
regroup numbers to at
least tens of thousands to
assist calculations and
solve problems
(ACMNA073)
Number and
(ACMNA074) Investigate number
place value (Fsequences involving
8)
multiples of 3, 4, 6, 7, 8,
and 9 (ACMNA074)
4
Number and
Algebra
4
Number and
Algebra
4
Number and
Algebra
Fractions and (ACMNA077) Investigate equivalent
Decimals (1-6)
fractions used in contexts
(ACMNA077)
4
Number and
Algebra
Fractions and (ACMNA078) Count by quarters halves
Decimals (1-6)
and thirds, including with
mixed numerals. Locate
and represent these
fractions on a number
line (ACMNA078)
Number and
(ACMNA075) Recall multiplication facts
place value (Fup to 10 × 10 and
8)
related division facts
(ACMNA075)
Number and
(ACMNA076) Develop efficient mental
place value (Fand written strategies
8)
and use appropriate
digital technologies for
multiplication and for
division where there is no
remainder (ACMNA076)
ELABORATION
MATH LINKS
reading stories from
other cultures featuring
counting in sequence to
assist students to
recognise ways of
counting in local
languages and across
cultures
identifying the number
words in sequence,
backwards and
forwards, and reasoning
with the number
sequences, establishing
the language on which
subsequent counting
experiences can be built
developing fluency with
forwards and backwards
counting in meaningful
contexts, including stories
and rhymes
understanding that
numbers are said in a
particular order and
there are patterns in the
way we say them
using the four operations
with pairs of odd or
even numbers or one
odd and one even
number, then using the
relationships established
to check the accuracy of
calculations
reproducing five-digit
numbers in words using
their numerical
representations, and vice
versa
recognising and
demonstrating that the
place-value pattern is
built on the operations of
multiplication or division
of tens
COUNTING
recognising that number
sequences can be
extended indefinitely,
and determining any
patterns in the sequences
using known
multiplication facts to
calculate related division
facts
using known facts and
strategies, such as
commutativity, doubling
and halving for
multiplication, and
connecting division to
multiplication when there
is no remainder
exploring the
relationship between
families of fractions
(halves, quarters and
eighths or thirds and
sixths) by folding a
series of paper strips to
construct a fraction wall
converting mixed
numbers to improper
fractions and vice versa
investigating the use of
fractions and sharing as
a way of managing
Country: for example
taking no more than half
the eggs from a nest to
protect future bird
populations
GENERAL
CAPABILITIES
CROSSCURRICULA
PRIORITIES
Literacy ,
Numeracy
ALGEBRA/PATTERNS, Critical and
COUNTING
creative thinking
, Literacy ,
Numeracy
PLACE VALUE
Critical and
creative thinking
, Literacy ,
Numeracy
PLACE VALUE
Critical and
creative thinking
, Literacy ,
Numeracy
COUNTING,
MULTIPLYING
Critical and
creative thinking
, Literacy ,
Numeracy
DIVIDING,
MULTIPLY/DIVIDE,
MULTIPLYING
Numeracy
DIVIDING,
MULTIPLY/DIVIDE,
MULTIPLYING
Critical and
creative thinking
, ICT, Numeracy
FRACTION/ DECIMAL Literacy ,
Numeracy
FRACTION/ DECIMAL Literacy ,
Numeracy
Aboriginal
Torres Strait Is
history and
culture,
Sustainability
YR 4- MATHEMATICS
YEAR MATHEMATICS
LEVEL
STRANDS
MATH SUBSTRANDS
ELEMENT
CODE
ELEMENT
ELABORATION
MATH LINKS
4
Number and
Algebra
Fractions and (ACMNA079) Recognise that the place
Decimals (1-6)
value system can be
extended to tenths and
hundredths. Make
connections between
fractions and decimal
notation (ACMNA079)
Critical and
creative thinking
, Literacy ,
Numeracy
4
Number and
Algebra
Money and
(ACMNA080)
financial Maths
(1-10)
Critical and
creative thinking
, ICT, Literacy ,
Numeracy
4
Number and
Algebra
Patterns and
(ACMNA081)
algebra (F-10)
4
Number and
Algebra
Patterns and
(ACMNA082)
algebra (F-10)
4
Number and
Algebra
Patterns and
(ACMNA083)
algebra (F-10)
4
Measurement
and Geometry
Using units of
measurement
(F-10)
(ACMMG084)
4
Measurement
and Geometry
Using units of
measurement
(F-10)
(ACMMG290)
4
Measurement
and Geometry
(ACMMG085)
4
Measurement
and Geometry
Using units of
measurement
(F-10)
Using units of
measurement
(F-10)
4
Measurement
and Geometry
Shape (F-7)
(ACMMG087)
4
Measurement
and Geometry
Shape (F-7)
(ACMMG088)
4
Measurement
and Geometry
Location and
(ACMMG090)
transformation
(F-7)
4
Measurement
and Geometry
Location and
(ACMMG091)
transformation
(F-7)
(ACMMG086)
using division by 10 to
FRACTION/ DECIMAL
extend the place-value
system
using knowledge of
fractions to establish
equivalences between
fractions and decimal
notation
Solve problems involving recognising that not all MONEY
purchases and the
countries use dollars and
calculation of change to cents, eg India uses
the nearest five cents
rupees.
with and without digital Carrying out calculations
technologies
in another currency as
(ACMNA080)
well as in dollars and
cents, and identifying
both as decimal systems
Explore and describe
identifying examples of ALGEBRA/PATTERNS
number patterns resulting number patterns in
from performing
everyday life
multiplication
(ACMNA081)
Solve word problems by representing a word
ALGEBRA/PATTERNS
using number sentences problem as a number
involving multiplication or sentence
division where there is no writing a word problem
remainder (ACMNA082) using a given number
sentence
Use equivalent number
reading and interpreting ALGEBRA/PATTERNS
sentences involving
the graduated scales on
addition and subtraction a range of measuring
to find unknown
instruments to the nearest
quantities (ACMNA083) graduation
Use scaled instruments to reading and interpreting CAPACITY, LENGTH,
measure and compare
the graduated scales on MASS, TEMPERATURE
lengths, masses,
a range of measuring
capacities and
instruments to the nearest
temperatures
graduation
(ACMMG084)
Compare objects using
comparing areas using AREA, VOLUME
familiar metric units of
grid paper
area and volume
comparing volume using
(ACMMG290)
centicubes
Convert between units of identifying and using the TIME
time (ACMMG085)
correct operation for
converting units of time
Use am and pm notation calculating the time spent TIME
and solve simple time
at school during a
problems (ACMMG086) normal school day
calculating the time
required to travel
between two locations
determining arrival time
given departure time
Compare the areas of
comparing areas using SHAPE
regular and irregular
metric units, such as
shapes by informal
counting the number of
means (ACMMG087)
square centimetres
required to cover two
areas by overlaying the
areas with a grid of
centimetre squares
Compare and describe identifying common two- SHAPE
two dimensional shapes dimensional shapes that
that result from
are part of a composite
combining and splitting shape by re-creating it
common shapes, with and from these shapes
without the use of digital creating a twotechnologies
dimensional shapes from
(ACMMG088)
verbal or written
instructions
Use simple scales,
identifying the scale
SPACE/ LOCATION,
legends and directions to used on maps of cities
TRANSFORMATION
interpret information
and rural areas in
contained in basic maps Australia and a city in
(ACMMG090)
Indonesia and describing
the difference
using directions to find
features on a map
Create symmetrical
using stimulus materials SPACE/ LOCATION,
patterns, pictures and
such as the motifs in
TRANSFORMATION
shapes with and without Central Asian textiles,
GENERAL
CAPABILITIES
CROSSCURRICULA
PRIORITIES
Asia and
Australia’s
engagement with
Asia
Critical and
creative thinking
, Literacy ,
Numeracy
Critical and
creative thinking
, Literacy ,
Numeracy
Critical and
creative thinking
, Literacy ,
Numeracy
Literacy ,
Numeracy
Numeracy
Literacy ,
Numeracy
Literacy ,
Numeracy
Critical and
creative thinking
, ICT, Literacy ,
Numeracy
Literacy ,
Numeracy
Asia and
Australia’s
engagement with
Asia
Critical and
Aboriginal
creative thinking Torres Strait Is
, ICT, Numeracy history and
YR 4- MATHEMATICS
YEAR MATHEMATICS
LEVEL
STRANDS
MATH SUBSTRANDS
ELEMENT
CODE
ELEMENT
ELABORATION
MATH LINKS
digital technologies
(ACMMG091)
4
Measurement
and Geometry
Geometric
reasoning (310)
(ACMMG089)
4
Statistics and
Probability
Chance (1-10) (ACMSP092)
4
Statistics and
Probability
Chance (1-10) (ACMSP093)
4
Statistics and
Probability
Chance (1-10) (ACMSP094)
4
Statistics and
Probability
Data
(ACMSP095)
representation
/ interpretation
(F-10)
4
Statistics and
Probability
Data
(ACMSP096)
representation
/ interpretation
(F-10)
4
Statistics and
Probability
Data
(ACMSP097)
representation
/ interpretation
(F-10)
Tibetan artefacts, Indian
lotus designs and
symmetry in Yolngu or
Central and Western
Desert art
Compare angles and
creating angles and
ANGLES
classify them as equal to, comparing them to a
greater than or less than right angle using digital
a right angle
technologies
(ACMMG089)
Describe possible
using lists of events
CHANCE
everyday events and
familiar to students and
order their chances of
ordering them from ‘least
occurring (ACMSP092)
likely’ to ‘most likely’ to
occur
Identify everyday events using examples such as CHANCE
where one cannot
weather, which cannot
happen if the other
be dry and wet at the
happens (ACMSP093)
same time
Identify events where the explaining why the
CHANCE
chance of one will not be probability of a new
affected by the
baby being either a boy
occurrence of the other or a girl does not
(ACMSP094)
depend on the sex of the
previous baby
Select and trial methods comparing the
DATA
for data collection,
effectiveness of different
including survey questions methods of collecting
and recording sheets
data
(ACMSP095)
choosing the most
effective way to collect
data for a given
investigation
Construct suitable data exploring ways of
DATA
displays, with and
presenting data and
without the use of digital showing the results of
technologies, from given investigations
or collected data. Include investigating data
tables, column graphs
displays using many-toand picture graphs
one correspondence
where one picture can
represent many data
values (ACMSP096)
Evaluate the
interpreting data
DATA
effectiveness of different representations in the
displays in illustrating
media and other forums
data features including in which symbols
variability (ACMSP097) represent more than one
data value
suggesting questions that
can be answered by a
given data display and
using the display to
answer questions
GENERAL
CAPABILITIES
Literacy ,
Numeracy
Literacy ,
Numeracy
Literacy ,
Numeracy
Critical and
creative thinking
, Literacy ,
Numeracy
Critical and
creative thinking
, Literacy ,
Numeracy
Critical and
creative thinking
, ICT, Literacy ,
Numeracy
Literacy ,
Numeracy
CROSSCURRICULA
PRIORITIES
culture, Asia and
Australia’s
engagement with
Asia
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