# townsville catholic education office ```TOWNSVILLE CATHOLIC EDUCATION OFFICE – MATHEMATICS SCOPE AND SEQUENCE
NUMBER AND ALGEBRA
Year 6
Term 1
Term 2
Term 3
Term 4
Identifies and describes properties of prime, composite, square and triangular numbers (ACMNA122)
TIMESNA19
Represents composite numbers as a product of their prime factors and using this form to simplify
calculations by cancelling common primes (ACMNA122) TIMESNA19
Selects and applies efficient mental and written strategies and appropriate digital technologies to solve
problems involving all four operations with whole numbers (ACMNA123) TIMESNA19 (SAMMYNA01)
Investigates everyday situations that use positive and negative whole numbers and zero. Locates and
represents these numbers on a number line (ACMNA124)
Solves everyday addition problems involving positive and negative integers without developing formal
rules for the operations (for example, using a number line and counting to find the resulting
outside temperature if it is 5&deg; C at 7pm and drops by 8&deg;C overnight) (ACMNA124) TIMESNA15
Compares fractions with related denominators and locates and represents them on a number line
(ACMNA125) TIMESNA14 (SAMMYNA02)
Solves problems involving addition and subtraction of fractions with the same or related denominators
(ACMNA126) TIMESNA14
Models and solves additive problems involving fractions by using methods such as jumps on number
line, or by making diagrams of fractions as parts of shapes (ACMNA126) TIMESNA14
Finds a simple fraction of a quantity where the result is a whole number, with and without digital
technologies (ACMNA127) TIMESNA14 TIMESNA17
Adds and subtracts decimals, with and without digital technologies, and use estimation and rounding to
check the reasonableness of answers (ACMNA128) TIMESNA18 (SAMMYNA03)
Multiplies decimals by whole numbers and perform divisions that result in terminating decimals. This
includes interpreting and representing the remainder in division calculations appropriate to the context
(eg: 6.5&divide;4 is sensibly expressed as 1.625km if dividing 6.5km into 4 equal legs or \$1.63 if dividing \$6.50
by 4) (ACMNA129) TIMESNA18
Use and explain the use of multiplication and division by powers of 10 to multiply decimal numbers
mentally (ACMNA130) TIMESNA18
Connecting fractions, decimals and percentages as different representations of the same number
moving flexibly between representations, and choosing the appropriate one for the problem being
solved (ACMNA131) TIMESNA18 TIMESNA20 (SAMMYNA04)
Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without
digital technologies (ACMNA132)(SAMMYNA05)
Continue and create number patterns involving whole numbers, fractions and decimals.
Describe the rule used to create the number pattern as the beginning of algebraic thinking (eg: 2, 5, 11
– the rule is: 2 X the number, then +1) (ACMNA133)
Explore the use of brackets and order of operations to write number sentences (ACMNA134)
TIMESNA13
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Year 6
Term 1
Term 2
Term 3
Term 4
Connect decimal representations to the metric system (recognise the equivalence of measurements
such as 1.25m and 125 cm) (ACMMG135)
Convert between common metric units of length, mass and capacity (identifying and using the correct
operations when converting units including millimetres, centimetres, meters, kilometres, milligrams,
grams, kilograms, tones, millilitres, litres, kilolitres and mega-litres (ACMMG136) TIMESMG10
Recognise the significance of the prefixes in the units of measurements eg: milli = 1000th,
Mega = one million Kilo= 1000th, centi = 100th, etc (ACMMG136)
Solve problems involving the comparison of lengths and areas using appropriate units (ACMMG137)
Connect volume and capacity and their units of measurement (eg: recognise that 1mL is equivalent to
1cm3 (ACMMG138) (SAMMYMG05)
Interpret and use timetables (ACMMG139)
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Construct simple prisms and pyramids from nets (ACMMG140) (SAMMYMG06)
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Term 1
Term 2
Term 3
Term 4
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Sub-Strand
Number and Place Value
Fractions and Decimals
Money and Financial Mathematics
Patterns and Algebra
MEASUREMENT AND
GEOMETRY
Using Units of Measurement
Shape
Location and Transformation
Geometric Reasoning
STATISTICS AND
PROBABILITY
Chance
Data representation and interpretation
Investigate combinations of translations, reflections and rotations, with and without the use of digital
technologies. Understand that translations, rotations and reflections can change the position and
orientation of shapes and objects but not their geometric features or size (ACMMG142)
Introduce the Cartesian coordinate system using all four quadrants (ACMMG143) (SAMMYMG04)
Two intersecting number lines intersecting at right angles at their origins to form the axes of the
coordinate system.
The plane is divided into four quadrants by these perpendicular axes called the x-axis (horizontal line)
and the y-axis (vertical line).
The position of any point in the plane can be represented by an ordered pair of numbers (x, y). These
ordered are called the coordinates of the point (?)
Investigate, with and without digital technologies, angles on a straight line, angles at a point and
vertically opposite angles. Use results to find unknown angles. Define acute, obtuse, reflex and right
angles. Identify that angles have arms and a vertex and that the size is the amount of turn required for
one arm to coincide with the other. The angle is measured in degrees with a protractor (ACMMG141)
TIMESMG09
Year 6
Describe probabilities using fractions, decimals and percentages (ACMSP144) TIMESSP11
Conduct repeated trials of chance experiments, identifying the variation between trials and realising
the results tend to the prediction with larger numbers of trials (ACMSP145) TIMESSP11
Compare observed frequencies across experiments with expected frequencies and predict likely
outcomes from a run of chance events and distinguish these from surprising results (ACMSP146)
TIMESSP11
Interpret and compare a range of data displays, including side-by-side column graphs for two
categorical variables (ACMSP147) TIMESSP04
Interpret secondary data in order to critique data-based claims made in the media, advertising and
elsewhere. Understand the various influences on data collection and display in order to be alert to
possible biases in data representations (ACMSP148) TIMESSP04
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