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Mathematics // Addition & Subtraction
Representing Addition and SubtractionRepresent addition and subtraction using objects, drawings, and mental images
Ages 4 to 6RepresentationMathematics // Addition & Subtraction
Numbers on a number lineRepresent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram
Ages 7 to 8RepresentationMathematics // Addition & Subtraction
Positive and Negative NumbersUnderstand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a…
Ages 11 to 13RepresentationMathematics // Algebra
Writing Algebraic EquationsExpress missing number problems algebraically using letters for unknowns; translate word problems into equations
Ages 10 to 11RepresentationMathematics // Algebra
Numbers on a number lineUnderstand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same…
Ages 11 to 14RepresentationMathematics // Algebra
Algebraic TransformationsModel situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic…
Ages 11 to 13RepresentationMathematics // Algebra
Plotting Linear GraphsPlot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a…
Ages 12 to 14RepresentationMathematics // Counting & Cardinality
Representing numbers with objectsRepresent numbers using objects, pictorial representations, and the number line
Ages 4 to 6RepresentationMathematics // Data & Statistics
Pictograms and tally chartsInterpret and construct simple pictograms, tally charts, block diagrams, and simple tables
Ages 6 to 8RepresentationMathematics // Data & Statistics
Picture & Bar GraphsDraw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare…
Ages 7 to 8RepresentationMathematics // Data & Statistics
Scaled picture and bar graphsDraw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts…
Ages 8 to 9RepresentationMathematics // Data & Statistics
Bar graphsInterpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
Ages 8 to 9RepresentationMathematics // Data & Statistics
Pie chartsInterpret and construct pie charts: calculate sector angles from data, draw sectors accurately, and read values from pie charts to solve problems
Ages 10 to 11RepresentationMathematics // Data & Statistics
Line graphsConstruct and interpret line graphs for continuous data (e.g. temperature over time, plant growth); read intermediate values, identify trends, and solve…
Ages 10 to 11RepresentationMathematics // Data & Statistics
Pictograms and tally charts (age 11+)Construct and interpret frequency tables, bar charts, pie charts, pictograms, and vertical line charts for both categorical and grouped numerical data, choosing…
Ages 11 to 13RepresentationMathematics // Data & Statistics
Scatter GraphsPlot bivariate data on a scatter graph with correctly labelled axes and appropriate scales; describe the correlation (positive, negative, none) and draw an…
Ages 13 to 14RepresentationMathematics // Fractions
Fractions on a number lineRecognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line
Ages 7 to 8RepresentationMathematics // Fractions
Equivalent fractions on a number lineUnderstand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions…
Ages 8 to 9RepresentationMathematics // Fractions
Fractions on a number line (age 8+)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
Ages 8 to 9RepresentationMathematics // Fractions
Area with FractionsFind the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths
Ages 10 to 11RepresentationMathematics // Geometry
Types of angles (age 8+)Use and interpret standard geometric diagram conventions: mark right angles with a small square, equal lengths with single or double tick marks, and equal…
Ages 8 to 12RepresentationMathematics // Geometry
Coordinates (age 8+)Plot specified points on a coordinate grid and draw sides to complete a given polygon
Ages 8 to 9RepresentationMathematics // Geometry
Nets of 3-D ShapesIdentify, 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…
Ages 8 to 11RepresentationMathematics // Geometry
Transformations on a gridRepresent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines…
Ages 8 to 12Representation