All topics

Mathematics // Fractions

Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths…

Mathematics // Fractions

Recognise and use thousandths; relate them to tenths, hundredths, and their decimal equivalents (e.g. 1/1000 = 0.001, 35/1000 = 0.035)

Mathematics // Fractions

Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)

Mathematics // Fractions

Understand the per cent symbol (%); know that per cent means ‘number of parts per hundred’; write percentages as a fraction with denominator 100 and as a…

Mathematics // Fractions

Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between…

Mathematics // Fractions

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to…

Mathematics // Fractions

Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between…

Mathematics // Fractions

Interpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the…

Mathematics // Fractions

Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and…

Mathematics // Geometry

Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry

Mathematics // Geometry

Know that angles are measured in degrees, where one degree is 1/360 of a full turn; understand that an angle turning through n one-degree angles has a measure…

Mathematics // Geometry

Understand that an angle is a geometric shape formed by two rays sharing a common endpoint (vertex); recognise angles in real-life contexts and 2-D shapes

Mathematics // Geometry

Know that angles at a point sum to 360° (one whole turn), angles on a straight line sum to 180°, and vertically opposite angles are equal; use these facts to…

Mathematics // Geometry

Distinguish between regular and irregular polygons based on reasoning about equal sides and equal angles

Mathematics // Geometry

Identify 3-D shapes, including cubes and other cuboids, from 2-D representations

Mathematics // Geometry

Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories…

Mathematics // Geometry

Understand a coordinate system defined by two perpendicular number lines (axes) with an origin at (0,0); know that an ordered pair (x, y) specifies a unique…

Mathematics // Geometry

Illustrate and name parts of circles, including radius, diameter, and circumference; know that the diameter is twice the radius

Mathematics // Geometry

Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and…

Mathematics // Geometry

Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems…

Mathematics // Measurement

Understand and use approximate equivalences between metric units and common imperial units (inches, pounds, pints)

Mathematics // Measurement

Estimate volume of cuboids using 1 cm³ blocks; estimate capacity of containers using water

Mathematics // Measurement

Convert between miles and kilometres using the approximate relationship (5 miles ≈ 8 km)

Mathematics // Measurement

Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically