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Level 1 (Maths)
Number
Read, write, order and compare whole numbers (at least to 1,000,000)
Understand place value (including zeros as placeholders)
Add and subtract whole numbers using efficient written methods
Multiply whole numbers (including 2-digit by 2-digit) using a suitable method
Divide whole numbers and interpret remainders in context
Use negative numbers in practical contexts (temperature, money)
Use factors, multiples and simple prime numbers (as needed for problem solving)
Use fractions:
find fractions of amounts
compare and order simple fractions
recognise equivalent fractions (common ones)
Use decimals:
place value to 2 decimal places
compare and order decimals
add and subtract decimals (especially money)
Use percentages:
find 10%, 20%, 25%, 50% of amounts
use percentage increase/decrease in simple contexts
Use ratio in simple contexts (e.g., 1:2, 2:3) and scale up/down
Round to nearest 10, 100, 1 decimal place (as appropriate)
Estimate and check answers for reasonableness
Measures
Use metric units confidently: mm, cm, m, km; g, kg; ml, l
Convert between metric units (e.g., mmcmm, gkg, mll)
Read and interpret scales (including non-standard intervals)
Calculate perimeter of common shapes
Calculate area of rectangles and compound shapes by splitting into rectangles
Understand volume in practical contexts (capacity; simple cuboids if appropriate)
Use time:
12- and 24-hour clock
calculate durations
interpret timetables
Use money:
totals, change, budgeting
compare prices and best buys
Use temperature and calculate differences
Shape and Space
Identify and use properties of 2D and 3D shapes
Use angles:
identify acute/obtuse/right/straight
measure and draw angles with a protractor
Use symmetry and simple transformations (reflect, rotate, translate)
Use coordinates in the first quadrant
Use scale drawings in simple contexts
Handling Data
Collect and organise data using tables
Use and interpret:
bar charts
line graphs
pictograms
Calculate and use averages:
mean
median
mode
range
Interpret data to answer questions and make comparisons
Problem Solving (throughout)
Identify the maths needed from a word problem (choose operations)
Solve multi-step problems using number, measures and data
Show clear working-out and use correct units
Check answers using estimation, inverse operations, or alternative methods
Level 2 (Maths)
Number
Work confidently with whole numbers and decimals in multi-step problems
Use place value and rounding (including to decimal places) to estimate and check
Add, subtract, multiply and divide with decimals (including money)
Use fractions, decimals and percentages fluently:
convert between fractions/decimals/percentages (common conversions)
calculate percentages of amounts
percentage increase/decrease
reverse percentages (simple cases)
Use ratio and proportion:
share amounts in a given ratio
scale recipes/quantities
use direct proportion in real-life contexts
Use negative numbers and calculate differences
Use powers and roots in basic form (e.g., squares, square roots) where relevant
Solve problems involving simple formulae (including substitution)
Measures
Convert between metric units and use them accurately in context
Use compound measures in context (speed, cost per item, cost per kg/l)
Calculate perimeter and area of a wider range of shapes:
triangles (where appropriate)
compound shapes
Calculate volume of cuboids and use capacity conversions
Use time and rates:
calculate durations
use timetables
solve speed/distance/time problems (simple)
Use money for budgeting, discounts, VAT-style problems (simple), and best buys
Shape and Space
Use properties of shapes to solve problems (including reasoning)
Use angles in parallel lines (basic angle facts)
Use Pythagoras theorem in simple right-angled triangle problems (if required by your spec)
Use coordinates in all four quadrants
Use scale drawings, bearings (simple), and maps
Use transformations and symmetry with more confidence
Handling Data
Interpret and draw:
bar charts and line graphs
pie charts
scatter graphs (basic correlation)
Calculate and interpret averages and spread
Use probability in simple contexts:
likelihood language
simple probability of events
Use data to make decisions and justify conclusions
Problem Solving (throughout)
Solve complex multi-step problems with clear reasoning
Choose efficient methods and justify choices
Check answers for reasonableness and communicate conclusions clearly
Use correct units, labels, and appropriate rounding
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