All topics

Mathematics // Fractions

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

Mathematics // Fractions

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…

Mathematics // Fractions

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

Mathematics // Fractions

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

Mathematics // Fractions

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

Mathematics // Fractions

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…

Mathematics // Fractions

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

Mathematics // Fractions

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

Mathematics // 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…

Mathematics // Geometry

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

Mathematics // Geometry

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

Mathematics // Geometry

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

Mathematics // Geometry

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

Mathematics // Geometry

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

Mathematics // Geometry

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

Mathematics // Geometry

Order and arrange combinations of mathematical objects in patterns and sequences

Mathematics // Geometry

Recognise and draw shapes having specified attributes (e.g. a given number of angles or equal faces); identify triangles, quadrilaterals, pentagons, hexagons…

Mathematics // Geometry

Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them

Mathematics // Geometry

Describe movements between positions as translations of a given unit to the left/right and up/down

Mathematics // Geometry

Complete a simple symmetric figure with respect to a specific line of symmetry

Mathematics // Geometry

Measure angles in whole-number degrees using a protractor; draw given angles and sketch angles of specified measure

Mathematics // Geometry

Draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional…

Mathematics // Geometry

Recognise angle measure as additive; find unknown angles by adding or subtracting on a diagram using equations with a symbol for the unknown

Mathematics // Geometry

Estimate and compare acute, obtuse, and reflex angles in degrees; classify angles by type and order them by size