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Mathematics // Geometry
Coordinate TransformationsIdentify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is…
Ages 11 to 14MethodMathematics // Geometry
Types of angles (age 11+)Use conventional geometric terms and notation to describe, sketch, and draw points, lines, parallel and perpendicular lines, right angles, regular polygons, and…
Ages 11 to 13LanguageMathematics // Geometry
Properties of triangles and quadrilateralsDerive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and…
Ages 11 to 13ConceptMathematics // Geometry
Measuring angles (age 11+)Draw and measure line segments and angles accurately using ruler and protractor, and interpret scale drawings to extract real measurements
Ages 11 to 13MethodMathematics // Geometry
Understanding angles (age 11+)Apply the properties of angles at a point (360°), on a straight line (180°), and vertically opposite angles to find unknown angles in multi-step problems
Ages 11 to 13MethodMathematics // Geometry
3-D shapes (age 11+)Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems…
Ages 11 to 13ConceptMathematics // Mathematical Thinking
Complex Multi-Step ProblemsMake sense of complex multi-step problems involving large numbers, fractions, decimals, and percentages by analysing what is known and unknown, planning…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Precise Maths VocabularyCommunicate with mathematical precision: use correct vocabulary for primes, factors, multiples, angle types, and polygon regularity; specify units including…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Understanding fractions (age 9+)Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Real-World Maths ModellingModel real-world problems involving scaling, unit conversion, area/perimeter, and percentage by selecting appropriate mathematical representations and…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Choosing representations strategicallySelect and use tools and representations strategically: choose between mental methods, formal written methods, protractors, fraction strips, and diagrams based…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Fractions on a number line (age 9+)Move fluently between real-world situations, diagrams, number lines, bar models, and symbolic equations involving multi-digit multiplication, fractions…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Reasoning with EquivalencesRecognise and use repeated reasoning to generalise: extend patterns in equivalent fractions and percentage conversions, derive unknown facts from known facts…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Fractions, Decimals & PercentagesLook for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication…
Ages 9 to 10Thinking skillMathematics // Mathematical Thinking
Understanding fractions (age 10+)Move fluently between real-world situations, diagrams, coordinate grids, algebraic expressions, tables, and symbolic equations involving fractions, ratio, and…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Advanced Multi-Step ProblemsMake sense of complex multi-step problems involving ratio, proportion, algebra, negative numbers, and all four operations with fractions and decimals by…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Real-World Mathematical ModellingModel real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, diagrams, or equations
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Advanced Maths VocabularyCommunicate with mathematical precision: use correct vocabulary for ratio, proportion, algebra, volume, coordinate geometry, and circle parts; specify units…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Constructing mathematical argumentsConstruct and present logical mathematical arguments involving multiple steps and formal reasoning; critique others' reasoning about fractions, algebra, ratio…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Choosing Maths ToolsSelect and use tools and representations strategically: choose between mental methods, formal written methods, algebraic approaches, coordinate grids, and…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Order of operations (age 10+)Look for and use mathematical structure: exploit the hierarchy of 2-D shapes to deduce properties; use order of operations and algebraic structure to simplify…
Ages 10 to 11Thinking skillMathematics // Mathematical Thinking
Generalising with repeated reasoningRecognise and use repeated reasoning to generalise: describe algebraic rules for nth terms, use properties of operations to simplify, and verify generalisations…
Ages 10 to 11Thinking skillMathematics // Measurement
Fractions on a number lineSolve word problems involving distances, time intervals, liquid volumes, masses, and money using the four operations with fractions or decimals; represent with…
Ages 9 to 10MethodMathematics // Measurement
Telling time to the minute (age 9+)Solve problems involving converting between units of time (hours↔minutes, minutes↔seconds, years↔months, weeks↔days)
Ages 9 to 10Method