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Mathematics // Addition & Subtraction
Subtraction as taking away or separatingUnderstand subtraction as taking away or separating from a group to find how many remain
Ages 4 to 6ConceptMathematics // Addition & Subtraction
Addition as combining or putting together twoUnderstand addition as combining or putting together two groups to find the total
Ages 4 to 6ConceptMathematics // Addition & Subtraction
Numbers up to 10 into pairsDecompose numbers up to 10 into pairs in more than one way (part-part-whole)
Ages 4 to 6ConceptMathematics // Addition & Subtraction
What the equals sign meansUnderstand the meaning of the equal sign as 'is the same as' and determine if equations are true or false
Ages 6 to 7ConceptMathematics // Addition & Subtraction
Addition in any orderUnderstand and apply the commutative property of addition: addends can be added in any order
Ages 6 to 7ConceptMathematics // Addition & Subtraction
Finding a missing number in additionUnderstand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10)
Ages 6 to 7ConceptMathematics // Addition & Subtraction
Inverse: addition undoes subtractionRecognise and use the inverse relationship between addition and subtraction to check calculations and solve missing-number problems
Ages 6 to 7ConceptMathematics // Addition & Subtraction
Grouping numbers to addUnderstand and apply the associative property of addition: when adding three numbers, any two can be added first
Ages 6 to 7ConceptMathematics // Counting & Cardinality
One-to-one countingOne-to-one correspondence when counting objects: each object is paired with exactly one number name
Ages 4 to 6ConceptMathematics // Counting & Cardinality
How Many in Total?Cardinality principle: the last number said when counting a set tells how many objects are in the set, regardless of arrangement or order counted
Ages 4 to 6ConceptMathematics // Counting & Cardinality
Comparing groups: more or fewerCompare two groups of objects to determine which has more, fewer, or whether they are equal, using matching and counting strategies
Ages 4 to 6ConceptMathematics // Counting & Cardinality
One More Each TimeEach successive counting number represents a quantity that is one larger than the previous number
Ages 4 to 6ConceptMathematics // Fractions
What Is a Half?Recognise, find, and name a half as one of two equal parts of an object, shape, or quantity
Ages 5 to 6ConceptMathematics // Fractions
Finding halves and quarters (age 5+)Recognise, find, and name a quarter as one of four equal parts of an object, shape, or quantity
Ages 5 to 6ConceptMathematics // Fractions
Fractions of amountsRecognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity
Ages 6 to 7ConceptMathematics // Fractions
Decomposing a shape into more equal sharesUnderstand that decomposing a shape into more equal shares creates smaller shares
Ages 6 to 7ConceptMathematics // Fractions
Halves & Quarters of ShapesPartition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
Ages 6 to 7ConceptMathematics // Fractions
Understanding fractionsWrite simple fractions (e.g. 1/2 of 6 = 3) and recognise the equivalence of 2/4 and 1/2
Ages 6 to 7ConceptMathematics // Fractions
TenthsCount up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and from dividing one-digit numbers or quantities by 10
Ages 7 to 8ConceptMathematics // Fractions
Splitting shapes into equal parts (age 7+)Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical…
Ages 7 to 8ConceptMathematics // Fractions
Equivalent fractionsRecognise and show, using diagrams, equivalent fractions with small denominators
Ages 7 to 8ConceptMathematics // Fractions
Unit fractionsRecognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
Ages 7 to 8ConceptMathematics // Geometry
3-D shapesRecognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)
Ages 4 to 6ConceptMathematics // Geometry
2-D shapesRecognise and name common 2-D shapes (circles, triangles, rectangles including squares)
Ages 4 to 6Concept