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AC: M Review Update
22/09/2021
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Content Descriptions
Consultation Version
quantify larger sets of objects, to at least 100, by partitioning collections into
groups to facilitate more efficient counting. Continue the count, using
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knowledge place value and skip-counting, recognising that the last number
said in the count represents the total quantity of objects, (AC9M1N03)
explore the use of brackets and order of operations to write number
sentences. Construct equivalent number sentences involving brackets
and combinations of the four operations and use the properties of numbers
and operations to determine unknown values (AC9M6A03)
recognise the relationships between families of fractions (halves, quarters
and eighths; fifths and tenths; thirds, sixths and twelfths) including
equivalence. Use different representations (including fraction notation) to
designate parts of a whole (AC9M4N05)
determine equivalent fraction, decimal and percentage representations of
rational numbers. Locate and represent positive and negative fractions,
decimals and mixed numbers on a number line (AC9M7N05)
recognise that complementary events have a combined probability of 1 and
that for a single event A, Pr(A) + Pr(notA) = 1. Use these relationships to
calculate probabilities related to practical problems (AC9M8P01)
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Achievement
By the end of Year 4, students use their understanding of the structure of place
value to efficiently multiply natural numbers by multiples of 10, and to represent
tenths and hundredths in decimal form. They model situations, including financial
contexts, and use addition and multiplication facts to add and subtract four-digit
numbers and multiply and divide numbers efficiently. Students develop and use
rounding and estimation strategies to reason and determine whether results are
standards
reasonable. They identify patterns in the multiplication facts and use their
knowledge of these patterns in efficient strategies for mental
calculations. Students solve problems using the properties of odd and even
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numbers. They locate common fractions on a number line and use fraction
notation and other representations to demonstrate equivalence within families of
fractions. Students identify and explain emerging patterns in sequences involving
multiples and generated by algorithms using computational approaches and digital
tools. They use the properties of operations and the structure of numbers to find
unknown values in equivalent number sentences involving addition and
subtraction.
Students use common scaled instruments to measure length, mass, capacity and
temperature, using units that are appropriate for purpose. They measure and
approximate the perimeter of shapes and enclosed boundaries and use square
units to measure and approximate area. Students convert between units of time
when solving problems involving duration. They compare angles relative to a right
or straight angle and use formal angle names to communicate their
results. Students apply spatial reasoning to model more complex shapes and
objects with simpler ones. They create, use and interpret grid reference maps as
two-dimensional representations of objects and spaces. Students identify
rotational symmetry in plane shapes and create symmetrical patterns.
They use surveys and other means to generate categorical data in statistical
investigations and communicate their findings in the context of the data. Students
create displays, including column graphs and many-to-one pictographs, to
represent and show the spread and variability of a data set. They assess the
suitability of displays for representing data and discuss the shape of data
distributions and the variation in data. Students use experience and the results of
experiments to order the likelihood of the outcomes of chance events and identify
whether events are independent or dependent.
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Pathways to senior secondary
