Ages 5–6
Real-World to Maths Connections
Move between a real-world situation and a mathematical representation using concrete objects, drawings, diagrams, tables, number sentences, or bar models
10 verified questions on this shelf
Ages 6–7
Connecting maths to real life
Represent real-world problems with number sentences, bar models, or diagrams, and interpret the mathematical result back in context
9 verified questions on this shelf
Ages 6–7
Connecting Representations
Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)
9 verified questions on this shelf
Ages 6–7
Explaining Mathematical Reasoning
With teacher prompting, explain and justify mathematical reasoning using drawings, number sentences, or words
10 verified questions on this shelf
Ages 6–7
Guided Multi-Step Problem Solving
With teacher guidance, make sense of multi-step and more complex problems by planning a pathway to the solution, identifying relevant information, and choosing appropriate operations
12 verified questions on this shelf
Ages 7–8
Choosing the right strategy
Select and use appropriate tools and representations strategically, including choosing between mental methods, jottings, formal algorithms, and calculators for arithmetic with multi-digit numbers, decimals, and fractions
9 verified questions on this shelf
Ages 7–8
Multi-Step Problem Solving
With teacher support, make sense of multi-step problems involving larger numbers or mixed operations by breaking them into parts, choosing strategies, and checking answers for reasonableness — children at this stage are developing the habi…
10 verified questions on this shelf
Ages 7–8
Understanding fractions (age 7+)
Communicate with mathematical precision: use correct place-value and fraction vocabulary, specify units in measurement answers, and use notation accurately
10 verified questions on this shelf
Ages 8–9
Choosing mathematical tools
Select and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking; select fraction models suited to the task
10 verified questions on this shelf
Ages 8–9
Fractions on a number line
Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows
21 verified questions on this shelf
Ages 8–9
Mathematical Precision
Communicate with mathematical precision: use correct fraction/decimal vocabulary, name angle types accurately, specify units in measurement and money, and use notation (=, <, >, ÷, ×) correctly
10 verified questions on this shelf
Ages 8–9
Modelling with multiplication and fractions
Model real-world problems involving multiplication, area, fractions, and unit conversion by choosing appropriate representations and interpreting mathematical results in context
10 verified questions on this shelf
Ages 8–9
Multi-Step Problem Solving
Make sense of multi-step problems involving four operations, fractions, and area/volume by identifying sub-steps, choosing a strategy, and monitoring progress
10 verified questions on this shelf
Ages 8–9
Using Mathematical Structure
Look for and use mathematical structure: exploit place-value patterns for ×10/×100, use the distributive property to break apart multiplications, apply fraction equivalence to compare and compute, use shape properties to classify quadrilat…
12 verified questions on this shelf
Ages 9–10
Choosing representations strategically
Select and use tools and representations strategically: choose between mental methods, formal written methods, protractors, fraction strips, and diagrams based on the demands of the problem
9 verified questions on this shelf
Ages 9–10
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 multi-step strategies, and evaluating reasonableness through estimation and inverse op…
10 verified questions on this shelf
Ages 9–10
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, decimals, and percentages, explaining connections between representations
10 verified questions on this shelf
Ages 9–10
Fractions, Decimals & Percentages
Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication; apply angle facts to find unknowns; use properties of regular polygons systematica…
10 verified questions on this shelf
Ages 9–10
Precise Maths Vocabulary
Communicate with mathematical precision: use correct vocabulary for primes, factors, multiples, angle types, and polygon regularity; specify units including cm², m³, °; use notation for squares/cubes and percentages accurately
10 verified questions on this shelf
Ages 9–10
Real-World Maths Modelling
Model real-world problems involving scaling, unit conversion, area/perimeter, and percentage by selecting appropriate mathematical representations and interpreting results in context
10 verified questions on this shelf
Ages 9–10
Reasoning with Equivalences
Recognise and use repeated reasoning to generalise: extend patterns in equivalent fractions and percentage conversions, derive unknown facts from known facts, describe general rules for sequences and predict terms
10 verified questions on this shelf
Ages 9–10
Understanding fractions (age 9+)
Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods
5 verified questions on this shelf
Ages 10–11
Advanced Maths Vocabulary
Communicate with mathematical precision: use correct vocabulary for ratio, proportion, algebra, volume, coordinate geometry, and circle parts; specify units including cm³, m³, and miles/km; use notation for algebraic expressions and order…
12 verified questions on this shelf
Ages 10–11
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 analysing given and unknown quantities, planning solution strategies, and evaluating r…
10 verified questions on this shelf
Ages 10–11
Choosing Maths Tools
Select and use tools and representations strategically: choose between mental methods, formal written methods, algebraic approaches, coordinate grids, and technology based on the demands of the problem
10 verified questions on this shelf
Ages 10–11
Constructing mathematical arguments
Construct and present logical mathematical arguments involving multiple steps and formal reasoning; critique others' reasoning about fractions, algebra, ratio, or geometry and clearly explain errors or alternative approaches
8 verified questions on this shelf
Ages 10–11
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 with specific cases
10 verified questions on this shelf
Ages 10–11
Real-World Mathematical Modelling
Model real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, diagrams, or equations
10 verified questions on this shelf
Ages 10–11
Understanding fractions (age 10+)
Move fluently between real-world situations, diagrams, coordinate grids, algebraic expressions, tables, and symbolic equations involving fractions, ratio, and algebra, explaining connections between representations
10 verified questions on this shelf