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Comparing and ordering numbers
Number Representation & Place Value
Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
Composing Shapes
Geometry
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape
Connecting maths to real life
Mathematical Thinking
Represent real-world problems with number sentences, bar models, or diagrams, and interpret the mathematical result back in context
Connecting Representations
Mathematical Thinking
Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)
Counting forwards and backwards
Counting & Cardinality
Count forwards and backwards in steps of 3 from 0
Counting forwards and backwards (age 6+)
Counting & Cardinality
Count forwards and backwards in tens from any number (not just multiples of 10)
Decomposing a shape into more equal shares
Fractions
Understand that decomposing a shape into more equal shares creates smaller shares
Edges, vertices, and faces
Geometry
Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
Explaining Mathematical Reasoning
Mathematical Thinking
With teacher prompting, explain and justify mathematical reasoning using drawings, number sentences, or words
Finding a missing number in addition
Addition & Subtraction
Understand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10)
Fluent adding and subtracting within 10
Addition & Subtraction
Fluently add and subtract within 10
Fluent addition and subtraction
Addition & Subtraction
Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
Fraction Notation
Fractions
Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole
Fractions of amounts
Fractions
Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity
Generalising Patterns
Mathematical Thinking
Recognise and use repeated reasoning to generalise: spot calculation patterns, describe rules for sequences, and predict results using known mathematical facts
Grouping numbers to add
Addition & Subtraction
Understand and apply the associative property of addition: when adding three numbers, any two can be added first
Guided Multi-Step Problem Solving
Mathematical Thinking
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
Halves & Quarters of Shapes
Fractions
Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
Inverse: addition undoes subtraction
Addition & Subtraction
Recognise and use the inverse relationship between addition and subtraction to check calculations and solve missing-number problems
Measuring length
Measurement
Order three objects by length and compare the lengths of two objects indirectly using a third object
Measuring length (age 6+)
Measurement
Measure the length of an object using same-size length units laid end to end with no gaps or overlaps
Mental addition and subtraction (age 6+)
Addition & Subtraction
Add and subtract a two-digit number and ones mentally and using concrete/pictorial representations
Mental and written addition and subtraction
Addition & Subtraction
Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures
Money Addition & Subtraction
Measurement
Solve simple money problems involving addition and subtraction, including giving change