## Year 2 SyllabusTest

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## General Capabilities

### Year 2 Syllabus

Year Level Description

The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.

At this year level:

• understanding includes connecting number calculations with counting sequences, partitioning and combining numbers flexibly and identifying and describing the relationship between addition and subtraction and between multiplication and division
• fluency includes readily counting numbers in sequences, using informal units iteratively to compare measurements, using the language of chance to describe outcomes of familiar chance events and describing and comparing time durations
• problem-solving includes formulating problems from authentic situations, making models and using number sentences that represent problem situations, and matching transformations with their original shape
• reasoning includes using known facts to derive strategies for unfamiliar calculations, comparing and contrasting related models of operations and creating and interpreting simple representations of data.

#### Number and Algebra

##### Number and place value

Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences (ACMNA026)

Recognise, model, represent and order numbers to at least 1000 (ACMNA027)

Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting (ACMNA028)

Explore the connection between addition and subtraction (ACMNA029)

Solve simple addition and subtraction problems using a range of efficient mental and written strategies (ACMNA030)

Recognise and represent multiplication as repeated addition, groups and arrays (ACMNA031)

Recognise and represent division as grouping into equal sets and solve simple problems using these representations (ACMNA032)

##### Fractions and decimals

Recognise and interpret common uses of halves, quarters and eighths of shapes and collections (ACMNA033)

##### Money and financial mathematics

Count and order small collections of Australian coins and notes according to their value (ACMNA034)

##### Patterns and algebra

Describe patterns with numbers and identify missing elements (ACMNA035)

Solve problems by using number sentences for addition or subtraction (ACMNA036)

#### Measurement and Geometry

##### Using units of measurement

Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units (ACMMG037)

Compare masses of objects using balance scales (ACMMG038)

Tell time to the quarter-hour, using the language of 'past' and 'to' (ACMMG039)

Name and order months and seasons (ACMMG040)

Use a calendar to identify the date and determine the number of days in each month (ACMMG041)

##### Shape

Describe and draw two-dimensional shapes, with and without digital technologies (ACMMG042)

Describe the features of three-dimensional objects (ACMMG043)

##### Location and transformation

Interpret simple maps of familiar locations and identify the relative positions of key features (ACMMG044)

Investigate the effect of one-step slides and flips with and without digital technologies (ACMMG045)

Identify and describe half and quarter turns (ACMMG046)

#### Statistics and Probability

##### Chance

Identify practical activities and everyday events that involve chance. Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’ (ACMSP047)

##### Data representation and interpretation

Identify a question of interest based on one categorical variable. Gather data relevant to the question (ACMSP048)

Collect, check and classify data (ACMSP049)

Create displays of data using lists, table and picture graphs and interpret them (ACMSP050)

#### Year 2 Achievement Standard

Number and Algebra

At Standard, students count to and from 1000. They perform simple addition and subtraction calculations using a range of strategies. Students represent multiplication and division by grouping into sets. They divide collections and shapes into halves, quarters and eighths. Students associate collections of Australian coins with their value. They recognise increasing and decreasing number sequences involving 2s, 3s and 5s. Students identify the missing element in a number sequence.

Measurement and Geometry

Students order shapes and objects using informal units. They tell time to the quarter hour and use a calendar to identify the date and the months included in seasons. Students recognise the features of three-dimensional objects. They draw two-dimensional shapes. Students interpret simple maps of familiar locations. They explain the effects of one-step transformations.

Statistics and Probability

Students describe outcomes for everyday events. They collect, organise and represent data to make simple inferences. Students make sense of collected information.

Year Level Description

The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.

At this year level:

• understanding includes connecting number calculations with counting sequences, partitioning and combining numbers flexibly and identifying and describing the relationship between addition and subtraction and between multiplication and division
• fluency includes readily counting numbers in sequences, using informal units iteratively to compare measurements, using the language of chance to describe outcomes of familiar chance events and describing and comparing time durations
• problem-solving includes formulating problems from authentic situations, making models and using number sentences that represent problem situations, and matching transformations with their original shape
• reasoning includes using known facts to derive strategies for unfamiliar calculations, comparing and contrasting related models of operations and creating and interpreting simple representations of data.