NSW SYLLABUSES FOR THE AUSTRALIAN CURRICULUM

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Syllabus

Stage

Mathematics K– 10

4 stages

Learning across the curriculum Information and communicati…

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MATHEMATICS K–10 (70 results) Early Stage 1

(5 results)

recognise numbers in a variety of contexts, eg classroom charts, cash register, computer keyboard, telephone (Communicating) Preview in context

Number and Algebra

Whole Numbers

create or continue a repeating pattern using simple computer graphics (Problem Solving) Preview in context

Number and Algebra

Patterns and Algebra

use computer software to draw a closed shape, colouring in the area (Communicating) Preview in context

Measurement and Geometry Area

make representations of two-dimensional shapes using a variety of materials, including paint, paper, body movements and computer drawing tools Preview in context

Measurement and Geometry Two-Dimensional Space

direct simple computer-controlled toys and equipment to follow a path (Communicating) Preview in context

Stage 1

Measurement and Geometry Position

(10 results)

use computer software to draw a line and use a simple graphic as a uniform informal unit to measure its length (Communicating) Preview in context

Measurement and Geometry Length 2

use computer software to create a shape and use a simple graphic as a uniform informal unit to measure its area (Communicating) Preview in context

Measurement and Geometry Area 1

choose a variety of materials to represent three-dimensional objects, including digital technologies (Communicating) Preview in context

Measurement and Geometry Three-Dimensional Space 2

use computer drawing tools to outline shapes embedded in a digital picture or design (Communicating) Preview in context

Measurement and Geometry Two-Dimensional Space 1

draw and name two-dimensional shapes in different orientations, with and without the use of digital technologies Preview in context

Measurement and Geometry Two-Dimensional Space 2

record the result of performing one-step slides and flips, with and without the use of digital technologies Preview in context

Measurement and Geometry Two-Dimensional Space 2

copy and manipulate a shape using the computer functions for slide and flip (Communicating) Preview in context

Measurement and Geometry Two-Dimensional Space 2

copy and manipulate a shape using the computer function for turn (Communicating) Preview in context

Measurement and Geometry Two-Dimensional Space 2

create a path from one location to another using computer software (Communicating) Preview in context

Measurement and Geometry Position 1

use digital technologies to create picture graphs (Communicating) Preview in context

Stage 2

Statistics and Probability Data 2

(17 results)

select, use and record a variety of mental strategies, and appropriate digital technologies, to solve simple multiplication problems Preview in context

Number and Algebra

Multiplication and Division 1

create a table or simple spreadsheet to record multiplication facts, eg a 10 × 10 grid showing multiplication facts (Communicating) Preview in context

Number and Algebra

Multiplication and Division 2

check the answer to a word problem using digital technologies (Reasoning) Preview in context

Number and Algebra

Multiplication and Division 2

explore and use the various date input and output options of digital technologies (Communicating) Preview in context

Measurement and Geometry Time 2

draw three-dimensional objects using a computer drawing tool, attempting to show depth (Communicating) Preview in context

Measurement and Geometry Three-Dimensional Space 2

investigate different two-dimensional representations of three-dimensional objects in the environment,

eg in Aboriginal art (Communicating) Preview in context

Measurement and Geometry Three-Dimensional Space 2

use digital technologies to construct a design or logo by combining common shapes (Communicating) Preview in context

Measurement and Geometry Two-Dimensional Space 2

record the arrangements of common shapes used to create other shapes, and the arrangement of shapes formed after splitting a shape, in diagrammatic form, with and without the use of digital technologies Preview in context

Measurement and Geometry Two-Dimensional Space 2

use digital technologies to create designs by copying, pasting, reflecting, translating and rotating common shapes (Communicating, Problem Solving) Preview in context

Measurement and Geometry Two-Dimensional Space 2

use digital technologies to create tessellating designs (Communicating) Preview in context

Measurement and Geometry Two-Dimensional Space 2

draw the reflection (mirror image) to complete symmetrical pictures and shapes, given a line of symmetry, with and without the use of digital technologies Preview in context

Measurement and Geometry Two-Dimensional Space 2

create simple maps and plans using digital technologies (Communicating) Preview in context

Measurement and Geometry Position 1

use digital technologies involving maps, position and paths (Communicating) Preview in context

Measurement and Geometry Position 1

use computer software to create a table to organise collected data, eg a spreadsheet (Communicating) Preview in context

Statistics and Probability Data 1

use graphing software to enter data and create column graphs that represent data (Communicating) Preview in context

Statistics and Probability Data 1

use data in a spreadsheet to create column graphs with appropriately labelled axes (Communicating, Problem Solving) Preview in context

Statistics and Probability Data 2

interpret and evaluate the effectiveness of various data displays found in media and in factual texts, where displays represent data using a scale of many-to-one correspondence Preview in context

Stage 3

(38 results)

Statistics and Probability Data 2

interpret information from the internet, the media, the environment and other sources that use large numbers (Communicating, Reasoning) Preview in context

Number and Algebra

Whole Numbers 1

explore square and triangular numbers using arrays, grid paper or digital technologies (Communicating, Problem Solving) Preview in context

Number and Algebra

Whole Numbers 2

select and apply efficient mental, written and calculator strategies to solve addition and subtraction word problems, including problems involving money Preview in context

Number and Algebra

Addition and Subtraction 1

record numerical data in a simple spreadsheet (Communicating) Preview in context

Number and Algebra

Addition and Subtraction 1

select and apply appropriate mental and written strategies, with and without the use of digital technologies, to solve unfamiliar problems (Problem Solving) Preview in context

Number and Algebra

Addition and Subtraction 2

use digital technologies to multiply numbers of up to four digits Preview in context

Number and Algebra

Multiplication and Division 1

check answers to mental calculations using digital technologies (Problem Solving) Preview in context

Number and Algebra

Multiplication and Division 1

apply appropriate mental and written strategies, and digital technologies, to solve multiplication word problems Preview in context

Number and Algebra

Multiplication and Division 1

use digital technologies to divide whole numbers by one- and two-digit divisors Preview in context

Number and Algebra

Multiplication and Division 1

check answers to mental calculations using digital technologies (Problem Solving) Preview in context

Number and Algebra

Multiplication and Division 1

apply appropriate mental and written strategies, and digital technologies, to solve division word problems Preview in context

Number and Algebra

Multiplication and Division 1

use a table or similar organiser to record methods used to solve problems (Communicating, Problem Solving) Preview in context

Number and Algebra

Multiplication and Division 2

investigate whether different digital technologies apply the order of operations (Reasoning)

Preview in context

Number and Algebra

Multiplication and Division 2

calculate unit fractions of collections, with and without the use of digital technologies, eg calculate

Preview in context

Number and Algebra

1 5

of 30

Fractions and Decimals 2

calculate a simple fraction of a collection/quantity, with and without the use of digital technologies, 2 eg calculate 5 of 30 Preview in context

Number and Algebra

Fractions and Decimals 2

add and subtract decimals with the same number of decimal places, with and without the use of digital technologies Preview in context

Number and Algebra

Fractions and Decimals 2

add and subtract decimals with a different number of decimal places, with and without the use of digital technologies Preview in context

Number and Algebra

Fractions and Decimals 2

multiply decimals of up to three decimal places by whole numbers of up to two digits, with and without the use of digital technologies, eg 'I measured three desks. Each desk was 1.25 m in length, so the total length is 3 × 1.25 = 3.75 m' Preview in context

Number and Algebra

Fractions and Decimals 2

calculate common percentages (10%, 25%, 50%) of quantities, with and without the use of digital technologies Preview in context

Number and Algebra

Fractions and Decimals 2

calculate the sale price of an item after a discount of 10%, 25% and 50%, with and without the use of digital technologies, recording the strategy and result Preview in context

Number and Algebra

Fractions and Decimals 2

create, with materials or digital technologies, a variety of patterns using whole numbers, fractions or decimals, eg

1 4

,

Preview in context

2 4

,

3 4

,

4 4

,

5 4

,

6 4

, or 2.2, 2.0, 1.8, 1.6, … …

Number and Algebra

Patterns and Algebra 1

continue and create number patterns, with and without the use of digital technologies, using whole numbers, fractions and decimals, eg Preview in context

1 4

,

Number and Algebra

1 8

,

1 16

,

…or

1.25, 2.5, 5, …

Patterns and Algebra 2

use bus, train, ferry and airline timetables, including those accessed on the internet, to prepare simple travel itineraries Preview in context

Measurement and Geometry Time 2

use computer drawing tools to construct a shape from a description of its side and angle properties (Communicating, Problem Solving)

Preview in context

Measurement and Geometry Two-Dimensional Space 1

rotate a graphic or object through a specified angle about a particular point, including by using the rotate function in a computer drawing program (Communicating) Preview in context

Measurement and Geometry Two-Dimensional Space 1

construct designs with rotational symmetry, with and without the use of digital technologies (Communicating, Problem Solving) Preview in context

Measurement and Geometry Two-Dimensional Space 1

make enlargements of two-dimensional shapes, pictures and maps, with and without the use of digital technologies Preview in context

Measurement and Geometry Two-Dimensional Space 1

investigate and use functions of digital technologies that allow shapes and images to be enlarged without losing the relative proportions of the image (Problem Solving) Preview in context

Measurement and Geometry Two-Dimensional Space 1

construct patterns of two-dimensional shapes that involve translations, reflections and rotations using computer software Preview in context

Measurement and Geometry Two-Dimensional Space 2

use a street directory or online map to find the route to a given location (Problem Solving) Preview in context

Measurement and Geometry Position

tabulate collected data, including numerical data, with and without the use of digital technologies such as spreadsheets Preview in context

Statistics and Probability Data 1

construct dot plots for numerical data, eg the number of siblings of each student in the class Preview in context

Statistics and Probability Data 1

interpret data representations found in digital media and in factual texts Preview in context

Statistics and Probability Data 2

interpret tables and graphs from the media and online sources, eg data about different sports teams (Reasoning) Preview in context

Statistics and Probability Data 2

critically evaluate data representations found in digital media and related claims Preview in context

Statistics and Probability Data 2

identify misleading representations of data in the media, eg broken axes, graphics that are not drawn to scale (Reasoning) Preview in context

Statistics and Probability Data 2

determine the likelihood of winning simple games by considering the number of possible outcomes, eg in a 'rock-paper-scissors' game (Problem Solving, Reasoning) Preview in context

Statistics and Probability Chance 1

assign expected probabilities to outcomes in chance experiments with random generators, including digital simulators, and compare the expected probabilities with the observed probabilities after both small and large numbers of trials Preview in context

Statistics and Probability Chance 2

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