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Mathematics - Level 4

Level 4 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...

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Level 4 Content Descriptions

Number and Algebra

Number and place value
  1. Investigate and use the properties of odd and even numbers (ACMNA071)
  2. Recognise, represent and order numbers to at least tens of thousands (ACMNA072)
  3. Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073)
  4. Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9 (ACMNA074)
  5. Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075)
  6. 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
  1. Investigate equivalent fractions used in contexts (ACMNA077)
  2. Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078)
  3. 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
  1. Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080)
Patterns and algebra
  1. Explore and describe number patterns resulting from performing multiplication (ACMNA081)
  2. Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082)
  3. Use equivalent number sentences involving addition and subtraction to find unknown quantities (ACMNA083)

Measurement and Geometry

Using units of measurement
  1. Use scaled instruments to measure and compare lengths, masses, capacities and temperatures (ACMMG084)
  2. Compare objects using familiar metric units of area and volume (ACMMG290)
  3. Convert between units of time (ACMMG085)
  4. Use am and pm notation and solve simple time problems (ACMMG086)
Shape
  1. Compare the areas of regular and irregular shapes by informal means (ACMMG087)
  2. 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
  1. Use simple scales, legends and directions to interpret information contained in basic maps (ACMMG090)
  2. Create symmetrical patterns, pictures and shapes with and without digital technologies (ACMMG091)
Geometric reasoning
  1. Compare angles and classify them as equal to, greater than or less than a right angle (ACMMG089)

Statistics and Probability

Chance
  1. Describe possible everyday events and order their chances of occurring (ACMSP092)
  2. Identify everyday events where one cannot happen if the other happens (ACMSP093)
  3. Identify events where the chance of one will not be affected by the occurrence of the other (ACMSP094)
Data representation and interpretation
  1. Select and trial methods for data collection, including survey questions and recording sheets (ACMSP095)
  2. 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)
  3. Evaluate the effectiveness of different displays in illustrating data features including variability (ACMSP097)

Level 4 Achievement Standard

Number and Algebra

Students recall multiplication facts to 10 x 10 and related division facts. They choose appropriate strategies for calculations involving multiplication and division, with and without the use of digital technology, and estimate answers accurately enough for the context. Students solve simple purchasing problems with and without the use of digital technology. They locate familiar fractions on a number line, recognise common equivalent fractions in familiar contexts and make connections between fractions and decimal notations up to two decimal places. Students identify unknown quantities in number sentences. They use the properties of odd and even numbers and describe number patterns resulting from multiplication. Students continue number sequences involving multiples of single-digit numbers and unit fractions, and locate them on a number line.

Measurement and Geometry

Students compare areas of regular and irregular shapes, using informal units. They solve problems involving time duration. Students use scaled instruments to measure length, angle, area, mass, capacity and temperature of shapes and objects. They convert between units of time. Students create symmetrical simple and composite shapes and patterns, with and without the use of digital technology. They classify angles in relation to a right angle. Students interpret information contained in maps.

Statistics and Probability

Students describe different methods for data collection and representation, and evaluate their effectiveness. They construct data displays from given or collected data, with and without the use of digital technology. Students list the probabilities of everyday events. They identify dependent and independent events.

Level 4 Work Samples

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