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  • Mathematics // Addition & Subtraction

    Checking Answers by Rounding

    Use rounding to check answers to calculations and determine appropriate levels of accuracy in context

    Ages 9 to 10Thinking skill
  • Mathematics // Mathematical Thinking

    Complex Multi-Step Problems

    Make 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 skill
  • Mathematics // Mathematical Thinking

    Precise Maths Vocabulary

    Communicate with mathematical precision: use correct vocabulary for primes, factors, multiples, angle types, and polygon regularity; specify units including…

    Ages 9 to 10Thinking skill
  • Mathematics // 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 skill
  • Mathematics // Mathematical Thinking

    Real-World Maths Modelling

    Model real-world problems involving scaling, unit conversion, area/perimeter, and percentage by selecting appropriate mathematical representations and…

    Ages 9 to 10Thinking skill
  • Mathematics // Mathematical Thinking

    Choosing representations strategically

    Select and use tools and representations strategically: choose between mental methods, formal written methods, protractors, fraction strips, and diagrams based…

    Ages 9 to 10Thinking skill
  • Mathematics // 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 skill
  • Mathematics // Mathematical Thinking

    Reasoning with Equivalences

    Recognise and use repeated reasoning to generalise: extend patterns in equivalent fractions and percentage conversions, derive unknown facts from known facts…

    Ages 9 to 10Thinking skill
  • Mathematics // Mathematical Thinking

    Fractions, Decimals & Percentages

    Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication…

    Ages 9 to 10Thinking skill
  • Mathematics // 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 skill
  • Mathematics // Mathematical Thinking

    Advanced Multi-Step Problems

    Make 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 skill
  • Mathematics // Mathematical Thinking

    Real-World Mathematical Modelling

    Model real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, diagrams, or equations

    Ages 10 to 11Thinking skill
  • Mathematics // Mathematical Thinking

    Advanced Maths Vocabulary

    Communicate with mathematical precision: use correct vocabulary for ratio, proportion, algebra, volume, coordinate geometry, and circle parts; specify units…

    Ages 10 to 11Thinking skill
  • Mathematics // Mathematical Thinking

    Constructing mathematical arguments

    Construct and present logical mathematical arguments involving multiple steps and formal reasoning; critique others' reasoning about fractions, algebra, ratio…

    Ages 10 to 11Thinking skill
  • Mathematics // Mathematical Thinking

    Choosing Maths Tools

    Select and use tools and representations strategically: choose between mental methods, formal written methods, algebraic approaches, coordinate grids, and…

    Ages 10 to 11Thinking skill
  • Mathematics // 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 skill
  • Mathematics // Mathematical Thinking

    Generalising with repeated reasoning

    Recognise 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 skill
  • Mathematics // Multiplication & Division

    Estimation to check answers to calculations

    Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

    Ages 10 to 11Thinking skill