TOWNSVILLE CATHOLIC EDUCATION OFFICE – MATHEMATICS SCOPE AND SEQUENCE
NUMBER AND ALGEBRA
Year 5
Term 1
Term 2
Term 3
Term 4
Identifies and describes factors and multiples of whole numbers and uses them to solve problems
(ACMNA098)
Uses estimation and rounding to check the reasonableness of answers to calculations (ACMNA099)
Applies mental strategies to estimate the results of calculations such as estimating the cost of a
supermarket trolley load (ACMNA099)
Solves problems involving multiplication of large numbers by one- or two-digit numbers using efficient
mental, written strategies and appropriate digital technologies for example, area model, the Italian
lattice method or the partitioning of numbers (ACMNA100) TIMESNA9
Solves problems involving division by a one digit number, including those that result in a remainder
(ACMNA101) TIMESNA10
Uses efficient mental and written strategies and applies appropriate digital technologies to solve
problems (ACMAN291) TIMESNA07 TIMESNA08 TIMESNA09
Compares and orders common unit fractions and locates and represents them on a number line
(ACMNA102) TIMESNA14
Investigates strategies to solve problems involving addition and subtraction of fractions with the same
denominator for example using jumps on a number line or making diagrams of fractions as parts of
shapes (ACMNA103) TIMESNA14
Recognises that the number system can be extended beyond hundredths (thousandths and beyond)
(ACMNA104) TIMESNA18
Compares, order and represent decimals by locating them on a number line (ACMNA105) TIMESNA18
Recognises that the number of digits after the decimal place is not equivalent to the value of the
fraction (ACMNA105) TIMESNA18
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Creates simple financial plans for example a budget (ACMNA106)
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Describes, continues and creates patterns with fractions, decimals and whole numbers resulting from
addition and subtraction (ACMNA107
Uses number lines or diagrams to creates patterns involving fractions or decimals (ACMNA107)
Uses equivalent number sentences involving multiplication and division to find unknown quantities, for
example 2 lots of a number is equal to 4 lots of 6 (ACMNA121)
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Year 5
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
Choose appropriate units of measurement for length, area, volume, capacity and mass, recognising
that some units of measurement are better suited for some tasks than others, for example, km rather
than m to measure the distance between two towns (ACMMG108) (SAMMYMG03)
Calculates the perimeter and area of rectangles using familiar metric units, explores perimeter by
adding the length and width together and doubling the result (ACMMG109)
Explores area by recognising that counting the number of square cm in a grid gives the same result as
multiplying the length and width (ACMMG109)
Compares 12- and 24-hour time systems using and convert between them (ACMMG110) TIMESMG03
Uses hours, minutes and seconds (ACMMG110) TIMESMG03
Shape
Location and Transformation
Geometric Reasoning
Connects three-dimensional objects (prisms and pyramids) with their nets and other two-dimensional
representations (ACMMG111)
Uses a grid reference system to describe locations. Describe routes using landmarks and directional
language (ACMMG113)
Describes translations, reflections and rotations of two-dimensional shapes. (ACMMG114)
Identifies line and rotational symmetries by manually cutting, folding and turning shapes (ACMMG114)
Apply the enlargement transformation to familiar two dimensional shapes and explore the properties
of the resulting image compared with the original using a grid system or digital technologies
(ACMMG115) (SAMMYMG02)
Estimates, measures and compares angles using degrees. Constructs angles using both a 180° and 360°
protractor (ACMMG112) (SAMMYMG01)
STATISTICS AND
PROBABILITY
Year 5
Term 1
Term 2
Term 3
Term 4
Chance
Lists outcomes of chance experiments involving equally likely outcomes and represents probabilities of
those outcomes using fractions (ACMSP116) TIMESSP10 (SAMMYSP01)
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Recognises that probabilities range from 0 to 1 (ACMSP117) TIMESSP10 (SAMMYSP01)
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Poses questions and collects categorical (eg: brown hair)or numerical data by observation or survey
(ACMSP118) TIMESSP03
Constructs displays, including column graphs, dot plots and tables, appropriate for data type, with and
without the use of digital technologies (ACMSP119) TIMESSP03
Uses and compares data representations for different data sets to help decision making, such as
choosing the best mobile phone plan (ACMSP120) TIMESSP03
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Data representation and interpretation