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5Year 5 Standards
Top Mathematicians
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Number and Algebra
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5.NA.1.1
Number strategies and knowledge
• Reason with linear proportions.
• Use prime numbers, common factors and multiples, and powers (including square roots).
• Understand operations on fractions, decimals, percentages, and integers.
• Use rates and ratios.
• Know commonly used fraction, decimal, and percentage conversions.
• Know and apply standard form, signifi cant fi gures, rounding, and decimal place value. -
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5.2Fractions Review5
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5.3Multiply Fractions by Whole Numbers20
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5.4Multiply Fractions by Whole Numbers20
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5.NA.1.2
Equations and expressions
• Form and solve linear and simple quadratic equations. -
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5.5Mixed Patterns5
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5.NA.1.3
Patterns and relationships
• Generalise the properties of operations with fractional numbers and integers.
• Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.
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5.NA.1.1
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Geometry & Measurement
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5.GM.1.1
Measurement
• Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate.
• Convert between metric units, using decimals.
• Deduce and use formulae to fi nd the perimeters and areas of polygons and the volumes of prisms.
• Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders. -
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5.8Which Metric Unit Is Appropriate?5
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5.9Which Metric Unit of Length Is Appropriate?5
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5.10Find the Change in Time I20
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5.11Change in Time Review20
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5.GM.1.2
Shape
• Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties.
• Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representations. -
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5.12Which Shape Is Described?5
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5.13Number of Sides in Polygons5
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5.14Which 2 Dimensional Shape Is Described?5
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5.15Identify Simple and Complex Solid Shapes5
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5.16Identify Planar and Solid Shapes5
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5.17Count Edges5
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5.18Count Faces5
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5.19Count Edges, Vertices and Faces5
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5.20Count Vertices5
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5.GM.1.3
Position and orientation
• Construct and describe simple loci.
• Interpret points and lines on co-ordinate planes, including scales and bearings on maps. -
5.GM.1.4
Transformation
• Define and use transformations and describe the invariant properties of fi gures and objects under these transformations.
• Apply trigonometric ratios and Pythagoras’ theorem in two dimensions.
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5.GM.1.1
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Statistics
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5.S.1.2
Statistical literacy
• Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of fi ndings. -
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5.30Create Line Graphs5
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5.31Create Bar Graphs Using Tables5
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5.32Create Bar Graphs5
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5.33Create Line Plots5
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5.34Create Line Plots II5
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5.35Choose the Best Graph Type5
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5.36Convert Graphs to Input/Output Tables5
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5.37Interpret Line Graphs5
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5.38Interpret Bar Graphs20
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5.39Interpret Line Plots with Up to 5 Data Points5
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5.40Interpret Line Plots5
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5.41Interpret Line Plots with Numbers Up to 405
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5.42Create Frequency Tables5
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5.43Stem-And-Leaf Plots5
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5.44Circle Graphs with Fractions5
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5.S.1.3
Probability
• Compare and describe the variation between theoretical and experimental distributions in situations that involve elements of chance.
• Calculate probabilities, using fractions, percentages, and ratios. -
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5.45Probability of Simple Events5
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5.46Probability Problems5
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5.47Making Predictions5
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5.48Prediction Problems5
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5.49Combination and Permutation Notation10
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5.S.1.2