5 6.1.3 Operations - The Four Operations Strand: Number and Algebra Sub-strand: Number and Operations 6.2.2 Connecting Fractions, Decimals and Percent Strand: Number and Algebra Sub-strand: Fractions and Decimals 6 7 6.2.3 Pattern and Algebra - Order of Operations Strand: Number and Algebra Sub-strand: Patterns and Algebra 8 9 6.1.4 Shape - Prisims, Pyramids and Angles Strand: Measurement and Geometry Sub strand: Geometric Reasoning 6.2.4 Shape - Transforamtion and Cartesian Coordinates Strand: Measurement and Geometry Sub-strand: Location and Transformation 10 11 6.1.5 Measurement - Time, Length, Area and Perimeter, connecting to Decimal Numbers and Converting between Units of Measure Strand: Measurement and Geometry Sub-strand: Using Units of Measurement, Geometric Reasoning 6.2.5 Measurement - Converting between Metric Units for Volume and Capacity and Mass Strand: Measurement and Geometry Sub-strand: Using Units of Measurement, Geometric Reasoning 12 13 14 6.2.6 Quantifying Chance as a Fraction, Decimal and Percent Strand: Statistics and Probability Sub-strand: Chance 15 6.1.6 Comparing Representations of Data Strand: Statistcs and probability Sub-strand: Data Representation and Interpretation 16 17 6.1.7 Pattern and Algebra - Forming Generalisations Strand: Number and Algebra Sub-strand: Patterns and Algebra 6.2.7 Calculating Percentage Discounts Strand: Number and Algebra Sub-strand: Money and Financial Mathematics 18 * Based on 3 hours teaching time per week Content descriptions coverage within each topic Level 6 content descriptions Topic/s Strand: Number and Algebra Sub-strand: Number and Place Value Identify and describe properties of prime, composite, square and triangular numbers 6.1.1 Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations 6.1.3 Investigate everyday situations that use integers. Locate and represent these numbers on a number line 6.1.1 Sub-strand: Fractions and Decimals Compare fractions with related denominators and locate and represent them on a number line 6.2.1 Solve problems involving addition and subtraction of fractions with the same or related denominators 6.2.1
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. angles and investigate simple combinations of transformations in the plane, with and without the use of digital technology. Students construct simple prisms and pyramids. triangles, rectangles and related shapes, and volumes of cubes and rectangular prisms. They form representations of prisms, buildings and other structures. They use simple combinations of transformations, with and without technology, to create geometric patterns and identify line and point symmetry, apply parallel line and transversal angle properties, angles sums in triangles and quadrilaterals, classify triangles and quadrilaterals, and construct them using compass and straight edge and dynamic geometry technology. Activities Proficiencies Describe prisms and pyramids using geometrical language, e.g. a pyramid is a 3D shape where the base is a polygon such as a square and the other faces are triangles which meet in an apex over the base; a prism is a 3D shape where the base and opposite face are the same shape. Construct and describe prisms and pyramids Consider the history and significance of pyramids from a range of cultural perspectives including those structures found in China, Korea and Indonesia Identify angles within shapes Use appropriate tools for determining angles Identify the size of a right angle as 90° and define acute, obtuse, straight and reflex angles Measure, estimate and compare angles in degrees and classifying angles according to their sizes Recognise and use the two alternate conventions for naming angles Investigate angles on a straight line, angles at a point and vertically opposite angles; use results to find unknown angles Fluency in naming the properties of 2D and 3D shapes Understanding through the ability to see how geometric properties are related and how some properties are dependent on others Problem solving using visualising to determine if a 2D net can be made into a 3D shape Reasoning about the properties that define shapes for example, that interior angles of a triangle must add to 180 degrees Considering different levels Level 5 Students who are working at this level could: Connect three-dimensional objects with their nets and other two-dimensional representations. Level 7 Students who are working at this level could: Draw different views of prisms and solids formed from combinations of prisms.
multiply decimals and divide decimals where the result is rational. Students write number sentences using brackets and order of operations, and specify rules used to generate sequences involving whole numbers, fractions and decimals. They use ordered pairs of integers to represent coordinates of points and locate a point in any one of the four quadrants on the Cartesian plane. pairs to given points on the Cartesian plane and interpret and analyse graphs of relations from real data. Students develop simple linear models for situations, make predictions based on these models, solve related equations and check their solutions. Activities Proficiencies Calculate discounts to find price of goods Using digital technology where appropriate to calculate percentage off Fluency through calculating simple percentages Understanding percentage off using rounding and estimating Problem solving through formulating and solving authentic problems using percentage Reasoning through explaining how to calculate percentage off given amounts Considering different levels Level 5 Students who are working at this level could: Identifying the GST component of invoices and receipts. Level 7 Students who are working at this level could: Investigate and calculate 'best buys', with and without digital technologies. Assessment ideas Students: Are given a ‘catalogue’ of goods with various percentages off stickers, and must calculate the actual price for items. Resources FUSE Super Cyril's Circus Supplies AMSI Notes