## Year 4 SyllabusTest

### Year 4 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 making connections between representations of numbers, partitioning and combining numbers flexibly, extending place value to decimals, using appropriate language to communicate times and describing properties of symmetrical shapes**fluency**includes recalling multiplication tables, communicating sequences of simple fractions, using instruments to measure accurately, creating patterns with shapes and their transformations and collecting and recording data**problem-solving**includes formulating, modelling and recording authentic situations involving operations, comparing large numbers with each other, comparing time durations and using properties of numbers to continue patterns**reasoning**includes using generalising from number properties and results of calculations, deriving strategies for unfamiliar multiplication and division tasks, comparing angles, communicating information using graphical displays and evaluating the appropriateness of different displays.

#### Number and Algebra

##### Number and place value

Investigate and use the properties of odd and even numbers (ACMNA071)

Recognise, represent and order numbers to at least tens of thousands (ACMNA072)

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073)

Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9 (ACMNA074)

Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075)

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076)

##### Fractions and decimals

Investigate equivalent fractions used in contexts (ACMNA077)

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078)

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)

##### Money and financial mathematics

Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080)

##### Patterns and algebra

Explore and describe number patterns resulting from performing multiplication (ACMNA081)

Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082)

Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction (ACMNA083)

#### Measurement and Geometry

##### Using units of measurement

Use scaled instruments to measure and compare lengths, masses, capacities and temperatures (ACMMG084)

Compare objects using familiar metric units of area and volume (ACMMG290)

Convert between units of time (ACMMG085)

Use ‘am’ and ‘pm’ notation and solve simple time problems (ACMMG086)

##### Shape

Compare the areas of regular and irregular shapes by informal means (ACMMG087)

Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies (ACMMG088)

##### Location and transformation

Use simple scales, legends and directions to interpret information contained in basic maps (ACMMG090)

Create symmetrical patterns, pictures and shapes with and without digital technologies (ACMMG091)

##### Geometric reasoning

Compare angles and classify them as equal to, greater than, or less than, a right angle (ACMMG089)

#### Statistics and Probability

##### Chance

Describe possible everyday events and order their chances of occurring (ACMSP092)

Identify everyday events where one cannot happen if the other happens (ACMSP093)

Identify events where the chance of one will not be affected by the occurrence of the other (ACMSP094)

##### Data representation and interpretation

Select and trial methods for data collection, including survey questions and recording sheets (ACMSP095)

Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values (ACMSP096)

Evaluate the effectiveness of different displays in illustrating data features including variability (ACMSP097)

#### Year 4 Achievement Standard

**Number and Algebra**

At Standard, students use the properties of odd and even numbers. They recall multiplication facts to 10 x 10 and related division facts. Students continue number sequences involving multiples of single-digit numbers. They choose appropriate strategies for calculations involving multiplication and division. Students locate familiar fractions on a number line. They recognise common equivalent fractions in familiar contexts and make connections between fraction and decimal notations up to two decimal places. Students solve simple purchasing problems. They describe number patterns resulting from multiplication. Students identify and explain strategies for finding unknown quantities in number sentences.

**Measurement and Geometry**

Students use scaled instruments to measure temperatures, lengths, shapes and objects. They compare areas of regular and irregular shapes using informal units. Students solve problems involving time duration. They convert between units of time. Students interpret information contained in maps. They create symmetrical shapes and patterns. They classify angles in relation to a right angle.

**Statistics and Probability**

Students list the probabilities of everyday events. They identify dependent and independent events. Students describe different methods for data collection and representation and evaluate their effectiveness. They construct data displays from given or collected data.

**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 making connections between representations of numbers, partitioning and combining numbers flexibly, extending place value to decimals, using appropriate language to communicate times and describing properties of symmetrical shapes**fluency**includes recalling multiplication tables, communicating sequences of simple fractions, using instruments to measure accurately, creating patterns with shapes and their transformations and collecting and recording data**problem-solving**includes formulating, modelling and recording authentic situations involving operations, comparing large numbers with each other, comparing time durations and using properties of numbers to continue patterns**reasoning**includes using generalising from number properties and results of calculations, deriving strategies for unfamiliar multiplication and division tasks, comparing angles, communicating information using graphical displays and evaluating the appropriateness of different displays.