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Mathematics // 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 // Fractions
Fractions of a wholeUnderstand 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
Ages 8 to 9ConceptMathematics // Fractions
Decimal equivalents of tenths and hundredthsRecognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)
Ages 8 to 9ConceptMathematics // Fractions
Tenths (age 8+)Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10
Ages 8 to 9ConceptMathematics // Fractions
Fraction-Decimal EquivalentsRecognise and write decimal equivalents of 1/4, 1/2, and 3/4
Ages 8 to 9ConceptMathematics // Fractions
Fractions of a whole (age 8+)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)
Ages 8 to 9ConceptMathematics // Fractions
Fractions as parts of shapesPartition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole
Ages 8 to 9ConceptMathematics // Fractions
Equivalent fractions (age 9+)Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths…
Ages 9 to 10ConceptMathematics // Fractions
Tenths (age 9+)Recognise and use thousandths; relate them to tenths, hundredths, and their decimal equivalents (e.g. 1/1000 = 0.001, 35/1000 = 0.035)
Ages 9 to 10ConceptMathematics // Fractions
Understanding fractions (age 9+)Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)
Ages 9 to 10ConceptMathematics // Fractions
Understanding PercentagesUnderstand the per cent symbol (%); know that per cent means ‘number of parts per hundred’; write percentages as a fraction with denominator 100 and as a…
Ages 9 to 10ConceptMathematics // Fractions
Decimals and fractions (age 10+)Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between…
Ages 10 to 11ConceptMathematics // Fractions
Fractions of a whole (age 10+)Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to…
Ages 10 to 11ConceptMathematics // Fractions
Dividing fractions (unit fractions)Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between…
Ages 10 to 11ConceptMathematics // Fractions
Multiplication as scalingInterpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the…
Ages 10 to 11ConceptMathematics // Fractions
Dividing by FractionsInterpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and…
Ages 10 to 11ConceptMathematics // 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 6ConceptMathematics // Geometry
3-D shapes (age 5+)Analyse and compare 2-D and 3-D shapes using informal language to describe sides, vertices, and other attributes
Ages 5 to 6ConceptMathematics // Geometry
Flat vs Solid ShapesDistinguish two-dimensional (flat) shapes from three-dimensional (solid) shapes
Ages 5 to 6ConceptMathematics // Geometry
2-D shapes (age 6+)Identify and describe properties of 2-D shapes including the number of sides and line symmetry in a vertical line
Ages 6 to 7ConceptMathematics // Geometry
Defining attributes of shapesDistinguish defining attributes of shapes (e.g. triangles are closed and three-sided) from non-defining attributes (e.g. colour, orientation, overall size)
Ages 6 to 7ConceptMathematics // Geometry
Edges, vertices, and facesIdentify and describe properties of 3-D shapes including the number of edges, vertices, and faces
Ages 6 to 7Concept