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Level 5

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Mathematics

Mathematics Level Description

In Level 5, students extend decimal fractions to thousandths, and explore the ideas of factors, multiples and divisibility.

Students use estimation and rounding for all four operations, with and without the use of technology for calculation. They solve multiple digit problems involving addition, subtraction, multiplication and division by single digit divisors with remainders. Students represent...

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Mathematics Content Descriptions

Number and Algebra

Number and place value
  1. Identify and describe factors and multiples of whole numbers and use them to solve problems (VCMNA181)
  2. Use estimation and rounding to check the reasonableness of answers to calculations (VCMNA182)
  3. Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (VCMNA183)
  4. Solve problems involving division by a one digit number, including those that result in a remainder (VCMNA184)
  5. Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (VCMNA185)
  6. Recognise, represent and order numbers to at least hundreds of thousands (VCMNA186)
Fractions and decimals
  1. Compare and order common unit fractions and locate and represent them on a number line (VCMNA187)
  2. Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (VCMNA188)
  3. Recognise that the place value system can be extended beyond hundredths (VCMNA189)
  4. Compare, order and represent decimals (VCMNA190)
Money and financial mathematics
  1. Create simple financial plans (VCMNA191)
Patterns and algebra
  1. Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction (VCMNA192)
  2. Use equivalent number sentences involving multiplication and division to find unknown quantities (VCMNA193)
  3. Follow a mathematical algorithm involving branching and repetition (iteration) (VCMNA194)

Measurement and Geometry

Using units of measurement
  1. Choose appropriate units of measurement for length, area, volume, capacity and mass (VCMMG195)
  2. Calculate the perimeter and area of rectangles and the volume and capacity of prisms using familiar metric units (VCMMG196)
  3. Compare 12- and 24-hour time systems and convert between them (VCMMG197)
Shape
  1. Connect three-dimensional objects with their nets and other two-dimensional representations (VCMMG198)
Location and transformation
  1. Use a grid reference system to describe locations. Describe routes using landmarks and directional language (VCMMG199)
  2. Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (VCMMG200)
  3. Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original (VCMMG201)
Geometric reasoning
  1. Estimate, measure and compare angles using degrees. Construct angles using a protractor (VCMMG202)

Statistics and Probability

Chance
  1. List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (VCMSP203)
  2. Recognise that probabilities range from 0 to 1 (VCMSP204)
Data representation and interpretation
  1. Pose questions and collect categorical or numerical data by observation or survey (VCMSP205)
  2. Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies (VCMSP206)
  3. Describe and interpret different data sets in context (VCMSP207)

Mathematics Achievement Standard

Number and Algebra

Students solve simple problems involving the four operations using a range of strategies including digital technology. They estimate to check the reasonableness of answers and approximate answers by rounding. Students identify and describe factors and multiples. They explain plans for simple budgets. Students order decimals and unit fractions and locate them on a number line. Students add and subtract fractions with the same denominator. They find unknown quantities in number sentences and continue patterns by adding or subtracting fractions and decimals.

Measurement and Geometry

Students use appropriate units of measurement for length, area, volume, capacity and mass, and calculate perimeter and area of rectangles and volume, and capacity of rectangular prisms. They convert between 12 and 24-hour time. Students use a grid reference system to locate landmarks. They estimate angles, and use protractors and digital technology to construct and measure angles. Students connect three-dimensional objects with their two-dimensional representations. They describe transformations of two-dimensional shapes and identify line and rotational symmetry.

Statistics and Probability

Students pose questions to gather data and construct various displays appropriate for the data, with and without the use of digital technology. They compare and interpret different data sets. Students list outcomes of chance experiments with equally likely outcomes and assign probabilities as a number from 0 to 1.

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