All topics

Mathematics // Geometry

Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite…

Mathematics // Geometry

Know and use the criteria for triangle congruence (SSS, SAS, ASA, RHS), use standard labelling conventions for sides and angles of triangle ABC, and determine…

Mathematics // Geometry

Use ruler and compasses to perform standard constructions: perpendicular bisector of a line segment, perpendicular to a line from or at a given point, and…

Mathematics // Geometry

Understand and use the relationship between parallel lines cut by a transversal: corresponding angles, alternate interior angles, and co-interior (same-side…

Mathematics // Geometry

Apply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts

Mathematics // Geometry

Use the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given…

Mathematics // Mathematical Thinking

Show and tell how a mathematical answer was found using objects, drawings, and spoken words

Mathematics // Mathematical Thinking

Make sense of a problem by identifying what is being asked, choosing concrete objects or pictures to represent the situation, and explaining a pathway to the…

Mathematics // Mathematical Thinking

Use objects, drawings, or simple number sentences to represent a real-world situation (early mathematical modelling)

Mathematics // Mathematical Thinking

Notice simple patterns and structures: spot that changing order doesn't change the total, and recognise how numbers relate to each other

Mathematics // Mathematical Thinking

Use mathematical words carefully when counting, comparing, and describing shapes and positions

Mathematics // Mathematical Thinking

Move between a real-world situation and a mathematical representation using concrete objects, drawings, diagrams, tables, number sentences, or bar models

Mathematics // Mathematical Thinking

Notice when a calculation or pattern repeats and use this to count more efficiently or predict results

Mathematics // Mathematical Thinking

Select and use familiar tools (concrete objects, fingers, ten frames) to help solve a mathematical problem

Mathematics // Mathematical Thinking

With teacher prompting, explain and justify mathematical reasoning using drawings, number sentences, or words

Mathematics // Mathematical Thinking

With teacher guidance, make sense of multi-step and more complex problems by planning a pathway to the solution, identifying relevant information, and choosing…

Mathematics // Mathematical Thinking

Represent real-world problems with number sentences, bar models, or diagrams, and interpret the mathematical result back in context

Mathematics // Mathematical Thinking

Select and use appropriate tools and representations (number lines, hundred squares, rulers, part-whole models) to support problem-solving

Mathematics // Mathematical Thinking

Recognise and use repeated reasoning to generalise: spot calculation patterns, describe rules for sequences, and predict results using known mathematical facts

Mathematics // Mathematical Thinking

Communicate with mathematical precision: use correct vocabulary, specify units, and use symbols accurately

Mathematics // Mathematical Thinking

Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)

Mathematics // Mathematical Thinking

Look for and use mathematical structure: apply properties of operations, place-value patterns, and relationships between shapes to solve problems efficiently

Mathematics // Mathematical Thinking

With teacher support, make sense of multi-step problems involving larger numbers or mixed operations by breaking them into parts, choosing strategies, and…

Mathematics // Mathematical Thinking

Communicate with mathematical precision: use correct place-value and fraction vocabulary, specify units in measurement answers, and use notation accurately