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Mathematics // Geometry
Lines, Rays & AnglesDraw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional…
Ages 9 to 10MethodMathematics // Geometry
Angle Sum RulesKnow 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…
Ages 9 to 10ConceptMathematics // Geometry
Regular and irregular polygonsDistinguish between regular and irregular polygons based on reasoning about equal sides and equal angles
Ages 9 to 10ConceptMathematics // Geometry
Measuring angles (age 9+)Recognise angle measure as additive; find unknown angles by adding or subtracting on a diagram using equations with a symbol for the unknown
Ages 9 to 10MethodMathematics // Geometry
Estimating AnglesEstimate and compare acute, obtuse, and reflex angles in degrees; classify angles by type and order them by size
Ages 9 to 10MethodMathematics // Geometry
Classifying shapes by line propertiesClassify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles…
Ages 9 to 10MethodMathematics // Geometry
Understanding angles (age 9+)Use the properties of rectangles to deduce related facts and find missing lengths and angles
Ages 9 to 10MethodMathematics // Geometry
3-D shapes (age 9+)Identify 3-D shapes, including cubes and other cuboids, from 2-D representations
Ages 9 to 10ConceptMathematics // Geometry
Transformations on a GridIdentify, describe, and represent the position of a shape following a reflection or translation using appropriate language; know that the shape has not changed
Ages 9 to 10MethodMathematics // Mathematical Thinking
Multi-Step Problem SolvingWith teacher support, make sense of multi-step problems involving larger numbers or mixed operations by breaking them into parts, choosing strategies, and…
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Understanding fractions (age 7+)Communicate with mathematical precision: use correct place-value and fraction vocabulary, specify units in measurement answers, and use notation accurately
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Justifying mathematical reasoningConstruct and follow multi-step mathematical arguments; identify errors in reasoning and explain why a method works or does not work
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Working with moneyModel real-world problems involving measurement, money, and time by choosing appropriate representations and interpreting results in context
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Understanding fractionsMove fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Choosing the right strategySelect and use appropriate tools and representations strategically, including choosing between mental methods, jottings, formal algorithms, and calculators for…
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Shape patterns (age 7+)Look for and use mathematical structure: apply place-value patterns to three-digit operations, use multiplication/division relationships, and exploit shape…
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Extending Table PatternsRecognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Mathematical PrecisionCommunicate with mathematical precision: use correct fraction/decimal vocabulary, name angle types accurately, specify units in measurement and money, and use…
Ages 8 to 9Thinking skillMathematics // Mathematical Thinking
Multi-Step Problem SolvingMake sense of multi-step problems involving four operations, fractions, and area/volume by identifying sub-steps, choosing a strategy, and monitoring progress
Ages 8 to 9Thinking skillMathematics // Mathematical Thinking
Justifying mathematical reasoning (age 8+)Construct and present multi-step mathematical arguments; critique the reasoning of others and explain clearly why a method works or fails
Ages 8 to 9Thinking skillMathematics // Mathematical Thinking
Choosing mathematical toolsSelect and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking…
Ages 8 to 9Thinking skillMathematics // Mathematical Thinking
Modelling with multiplication and fractionsModel real-world problems involving multiplication, area, fractions, and unit conversion by choosing appropriate representations and interpreting mathematical…
Ages 8 to 9Thinking skillMathematics // Mathematical Thinking
Times tables (age 8+)Recognise and use repeated reasoning to generalise: extend patterns in times tables and equivalent fractions, derive unknown facts from known facts efficiently…
Ages 8 to 9Thinking skillMathematics // Mathematical Thinking
Fractions on a number lineMove fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what…
Ages 8 to 9Thinking skill