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Factor Pairs & Commutativity
Multiplication & Division
Recognise and use factor pairs and commutativity in mental calculations
First Quadrant Coordinates
Geometry
Describe positions on a 2-D grid as coordinates in the first quadrant
Fluent adding and subtracting within 1000
Addition & Subtraction
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and the relationship between addition and subtraction
Fluent multiplication and division facts
Multiplication & Division
Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division
Fraction-Decimal Equivalents
Fractions
Recognise and write decimal equivalents of 1/4, 1/2, and 3/4
Fractions as parts of shapes
Fractions
Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole
Fractions of a whole
Fractions
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
Fractions of a whole (age 8+)
Fractions
Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)
Fractions of amounts (harder)
Fractions
Solve problems involving increasingly harder fractions to calculate quantities, including non-unit fractions where the answer is a whole number
Fractions on a number line
Mathematical Thinking
Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows
Fractions on a number line (age 8+)
Fractions
Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b
Halves and quarters (age 8+)
Measurement
Generate measurement data by measuring lengths to the nearest half and quarter inch; display the data on a line plot with a scale marked in whole numbers, halves, and quarters
Justifying mathematical reasoning (age 8+)
Mathematical Thinking
Construct and present multi-step mathematical arguments; critique the reasoning of others and explain clearly why a method works or fails
Lines of symmetry
Geometry
Complete a simple symmetric figure with respect to a specific line of symmetry
Mathematical Precision
Mathematical Thinking
Communicate with mathematical precision: use correct fraction/decimal vocabulary, name angle types accurately, specify units in measurement and money, and use notation (=, <, >, ÷, ×) correctly
Measuring Liquids & Masses
Measurement
Measure and estimate liquid volumes and masses of objects using grams, kilograms, and litres; solve one-step word problems involving mass or volume
Mental multiplication and division
Multiplication & Division
Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three numbers
Modelling with multiplication and fractions
Mathematical Thinking
Model real-world problems involving multiplication, area, fractions, and unit conversion by choosing appropriate representations and interpreting mathematical results in context
Multi-Step Problem Solving
Mathematical Thinking
Make sense of multi-step problems involving four operations, fractions, and area/volume by identifying sub-steps, choosing a strategy, and monitoring progress
Multiplication and Division Word Problems
Multiplication & Division
Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
Multiply & Add Problems
Multiplication & Division
Solve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems
Multiplying by Tens
Multiplication & Division
Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations
Negative Numbers
Number Representation & Place Value
Count backwards through zero to include negative numbers
Nets of 3-D Shapes
Geometry
Identify, draw, and interpret nets of common 3-D shapes — cubes, cuboids, triangular prisms, and square-based pyramids — by predicting which 3-D shape a given flat arrangement of faces will fold into, checking whether a net will close completely, and sketching a net from a description or 3-D model; understand the relationship between the number of faces and the structure of the net