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Mathematics // Addition & Subtraction
Estimating by roundingEstimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning
Ages 7 to 9Thinking skillMathematics // Addition & Subtraction
Addition and subtraction strategies (age 7+)Explain why addition and subtraction strategies work, using place value and the properties of operations
Ages 7 to 8Thinking skillMathematics // Addition & Subtraction
Checking Answers by RoundingUse rounding to check answers to calculations and determine appropriate levels of accuracy in context
Ages 9 to 10Thinking skillMathematics // Fractions
Comparing fractions (age 7+)Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison
Ages 7 to 8Thinking skillMathematics // Mathematical Thinking
Showing Your WorkingShow and tell how a mathematical answer was found using objects, drawings, and spoken words
Ages 5 to 6Thinking skillMathematics // Mathematical Thinking
Making Sense of ProblemsMake 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…
Ages 5 to 6Thinking skillMathematics // Mathematical Thinking
Using objects to model real problemsUse objects, drawings, or simple number sentences to represent a real-world situation (early mathematical modelling)
Ages 5 to 6Thinking skillMathematics // Mathematical Thinking
Spotting mathematical patternsNotice simple patterns and structures: spot that changing order doesn't change the total, and recognise how numbers relate to each other
Ages 5 to 6Thinking skillMathematics // Mathematical Thinking
Early Maths VocabularyUse mathematical words carefully when counting, comparing, and describing shapes and positions
Ages 5 to 6Thinking skillMathematics // Mathematical Thinking
Real-World to Maths ConnectionsMove between a real-world situation and a mathematical representation using concrete objects, drawings, diagrams, tables, number sentences, or bar models
Ages 5 to 6Thinking skillMathematics // Mathematical Thinking
Finding efficient methodsNotice when a calculation or pattern repeats and use this to count more efficiently or predict results
Ages 5 to 6Thinking skillMathematics // Mathematical Thinking
Hands-On Problem SolvingSelect and use familiar tools (concrete objects, fingers, ten frames) to help solve a mathematical problem
Ages 5 to 6Thinking skillMathematics // Mathematical Thinking
Explaining Mathematical ReasoningWith teacher prompting, explain and justify mathematical reasoning using drawings, number sentences, or words
Ages 6 to 7Thinking skillMathematics // Mathematical Thinking
Guided Multi-Step Problem SolvingWith teacher guidance, make sense of multi-step and more complex problems by planning a pathway to the solution, identifying relevant information, and choosing…
Ages 6 to 7Thinking skillMathematics // Mathematical Thinking
Connecting maths to real lifeRepresent real-world problems with number sentences, bar models, or diagrams, and interpret the mathematical result back in context
Ages 6 to 7Thinking skillMathematics // Mathematical Thinking
Numbers on a number lineSelect and use appropriate tools and representations (number lines, hundred squares, rulers, part-whole models) to support problem-solving
Ages 6 to 7Thinking skillMathematics // Mathematical Thinking
Generalising PatternsRecognise and use repeated reasoning to generalise: spot calculation patterns, describe rules for sequences, and predict results using known mathematical facts
Ages 6 to 7Thinking skillMathematics // Mathematical Thinking
Precise Maths CommunicationCommunicate with mathematical precision: use correct vocabulary, specify units, and use symbols accurately
Ages 6 to 7Thinking skillMathematics // Mathematical Thinking
Connecting RepresentationsMove between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)
Ages 6 to 7Thinking skillMathematics // Mathematical Thinking
Shape patternsLook for and use mathematical structure: apply properties of operations, place-value patterns, and relationships between shapes to solve problems efficiently
Ages 6 to 7Thinking skillMathematics // 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 skill