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  • Mathematics // Fractions

    Real-world fraction multiplication

    Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations

    Ages 10 to 11Method
  • Mathematics // Fractions

    Multiplying fractions (age 10+)

    Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal…

    Ages 10 to 11Method
  • Mathematics // Fractions

    Adding Fractions (Unlike Denominators)

    Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions to produce a common…

    Ages 10 to 11Method
  • Mathematics // Fractions

    Fraction Word Problems

    Solve word problems involving addition and subtraction of fractions with unlike denominators, using visual models and benchmark fractions to estimate and assess…

    Ages 10 to 11Method
  • Mathematics // Fractions

    Comparing fractions (age 10+)

    Compare and order fractions including fractions greater than 1, by converting to common denominators or using benchmarks

    Ages 10 to 11Method
  • Mathematics // Fractions

    Multiplying fractions (age 11+)

    Interpret fractions and percentages as operators — find a fraction or percentage of an amount by multiplying, understanding that 'of' means multiply (e.g., 3/4…

    Ages 11 to 12Method
  • Mathematics // Fractions

    Mixed & Improper Fractions

    Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and…

    Ages 11 to 13Method
  • Mathematics // Fractions

    Decimals and fractions (age 11+)

    Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8); convert fluently between the two forms

    Ages 11 to 13Method
  • Mathematics // Fractions

    Dividing fractions

    Divide a fraction by a fraction using the 'keep-change-flip' method and visual models; interpret and solve word problems involving division of fractions by…

    Ages 11 to 12Method
  • Mathematics // Geometry

    3-D shapes

    Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)

    Ages 4 to 6Concept
  • Mathematics // Geometry

    2-D shapes

    Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)

    Ages 4 to 6Concept
  • Mathematics // Geometry

    Positional Language

    Describe the position of objects using terms such as above, below, beside, in front of, behind, next to

    Ages 4 to 6Language
  • Mathematics // Geometry

    3-D shapes (age 5+)

    Analyse and compare 2-D and 3-D shapes using informal language to describe sides, vertices, and other attributes

    Ages 5 to 6Concept
  • Mathematics // Geometry

    Turns & Directions

    Describe movement and direction, including whole, half, quarter, and three-quarter turns

    Ages 5 to 6Method
  • Mathematics // Geometry

    Building & Drawing Shapes

    Model shapes by building from components (e.g. sticks and clay balls) and by drawing

    Ages 5 to 6Method
  • Mathematics // Geometry

    Combining Simple Shapes

    Compose simple shapes to form larger shapes (e.g. two triangles make a rectangle)

    Ages 5 to 6Method
  • Mathematics // Geometry

    Flat vs Solid Shapes

    Distinguish two-dimensional (flat) shapes from three-dimensional (solid) shapes

    Ages 5 to 6Concept
  • Mathematics // Geometry

    2-D shapes (age 6+)

    Identify and describe properties of 2-D shapes including the number of sides and line symmetry in a vertical line

    Ages 6 to 7Concept
  • Mathematics // Geometry

    Defining attributes of shapes

    Distinguish defining attributes of shapes (e.g. triangles are closed and three-sided) from non-defining attributes (e.g. colour, orientation, overall size)

    Ages 6 to 7Concept
  • Mathematics // Geometry

    Position, direction, and movement

    Use mathematical vocabulary to describe position, direction, and movement, including straight lines and distinguishing rotation as a turn in terms of right…

    Ages 6 to 7Language
  • Mathematics // Geometry

    Edges, vertices, and faces

    Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces

    Ages 6 to 7Concept
  • Mathematics // Geometry

    Sorting 2-D and 3-D shapes

    Compare and sort common 2-D and 3-D shapes and everyday objects by their properties

    Ages 6 to 7Method
  • Mathematics // Geometry

    Building with 3-D Shapes

    Compose three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) and create composite shapes; build new shapes…

    Ages 6 to 7Method
  • Mathematics // Geometry

    Composing Shapes

    Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes…

    Ages 6 to 7Method