Mathematics and Statistics
Outcomes
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Level 1
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Number and Algebra
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Number Strategies
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Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions
Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractionsPlay Activities 142Examples
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Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions
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Number Knowledge
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Know the forward and backwards counting sequences of whole numbers to 100
Know the forward and backwards counting sequences of whole numbers to 100Play Activities 194Examples
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Know groupings with five, within ten, and with ten
Know groupings with five, within ten, and with tenPlay Activities 237Examples
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Know the forward and backwards counting sequences of whole numbers to 100
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Equations and Expressions
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Communicate and explain counting, grouping, and equal-sharing strategies, using words, numbers, and pictures
Communicate and explain counting, grouping, and equal-sharing strategies, using words, numbers, and picturesExamples
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Communicate and explain counting, grouping, and equal-sharing strategies, using words, numbers, and pictures
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Patterns and Relationships
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Generalise that the next counting number gives the result of adding one object to a set and that counting the number of objects in a set tells how many
Generalise that the next counting number gives the result of adding one object to a set and that counting the number of objects in a set tells how manyExamples
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Create and continue sequential patterns
Create and continue sequential patternsPlay Activities 117Examples
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Generalise that the next counting number gives the result of adding one object to a set and that counting the number of objects in a set tells how many
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Number Strategies
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Geometry and Measurement
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Measurement
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Order and compare objects or events by length, area, volume and capacity, weight (mass), turn (angle), temperature, and time by direct comparison and/or counting whole numbers of units
Order and compare objects or events by length, area, volume and capacity, weight (mass), turn (angle), temperature, and time by direct comparison and/or counting whole numbers of unitsExamples
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Order and compare objects or events by length, area, volume and capacity, weight (mass), turn (angle), temperature, and time by direct comparison and/or counting whole numbers of units
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Shape
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Sort objects by their appearance
Sort objects by their appearanceExamples
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Sort objects by their appearance
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Position and Orientation
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Give and follow instructions for movement that involve distances, directions, and half or quarter turns
Give and follow instructions for movement that involve distances, directions, and half or quarter turnsExamples
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Describe their position relative to a person or object
Describe their position relative to a person or objectExamples
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Give and follow instructions for movement that involve distances, directions, and half or quarter turns
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Transformation
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Communicate and record the results of translations, reflections, and rotations on plane shapes
Communicate and record the results of translations, reflections, and rotations on plane shapesExamples
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Communicate and record the results of translations, reflections, and rotations on plane shapes
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Measurement
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Statistics
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Statistical Investigation
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Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and counting, and displaying category data; discussing the results
Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and counting, and displaying category data; discussing the resultsExamples
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Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and counting, and displaying category data; discussing the results
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Statistical Investigation
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Number and Algebra
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Level 2
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Number and Algebra
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Number Strategies
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Use simple additive strategies with whole numbers and fractions
Use simple additive strategies with whole numbers and fractionsPlay Activities 649Examples
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Use simple additive strategies with whole numbers and fractions
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Number Knowledge
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Know forward and backward counting sequences with whole numbers to at least 1000
Know forward and backward counting sequences with whole numbers to at least 1000Play Activities 179Examples
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Know the basic addition and subtraction facts
Know the basic addition and subtraction factsPlay Activities 345Examples
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Know how many ones, tens, and hundreds are in whole numbers to at least 1000
Know how many ones, tens, and hundreds are in whole numbers to at least 1000Play Activities 154Examples
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Know simple fractions in everyday use
Know simple fractions in everyday useExamples
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Know forward and backward counting sequences with whole numbers to at least 1000
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Equations and Expressions
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Communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbols
Communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbolsPlay Activities 206Examples
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Communicate and interpret simple additive strategies, using words, diagrams (pictures), and symbols
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Patterns and Relationships
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Generalise that whole numbers can be partitioned in many ways
Generalise that whole numbers can be partitioned in many waysPlay Activities 174Examples
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Find rules for the next member in a sequential pattern
Find rules for the next member in a sequential patternExamples
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Generalise that whole numbers can be partitioned in many ways
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Number Strategies
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Geometry and Measurement
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Measurement
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Create and use appropriate units and devices to measure length, area, volume and capacity, weight (mass), turn (angle), temperature, and time
Create and use appropriate units and devices to measure length, area, volume and capacity, weight (mass), turn (angle), temperature, and timeExamples
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Partition and/or combine like measures and communicate them, using numbers and units
Partition and/or combine like measures and communicate them, using numbers and unitsExamples
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Create and use appropriate units and devices to measure length, area, volume and capacity, weight (mass), turn (angle), temperature, and time
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Shape
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Sort objects by their spatial features, with justification
Sort objects by their spatial features, with justificationPlay Activities 115Examples
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Identify and describe the plane shapes found in objects
Identify and describe the plane shapes found in objectsExamples
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Sort objects by their spatial features, with justification
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Position and Orientation
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Create and use simple maps to show position and direction
Create and use simple maps to show position and directionExamples
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Describe different views and pathways from locations on a map
Describe different views and pathways from locations on a mapExamples
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Create and use simple maps to show position and direction
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Transformation
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Predict and communicate the results of translations, reflections, and rotations on plane shapes
Predict and communicate the results of translations, reflections, and rotations on plane shapesExamples
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Predict and communicate the results of translations, reflections, and rotations on plane shapes
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Measurement
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Statistics
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Statistical Investigation
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Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and displaying category and whole-number data; communicating findings based on the data
Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and displaying category and whole-number data; communicating findings based on the dataExamples
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Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and displaying category and whole-number data; communicating findings based on the data
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Probability
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Investigate simple situations that involve elements of chance, recognising equal and different likelihoods and acknowledging uncertainty
Investigate simple situations that involve elements of chance, recognising equal and different likelihoods and acknowledging uncertaintyExamples
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Investigate simple situations that involve elements of chance, recognising equal and different likelihoods and acknowledging uncertainty
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Statistical Investigation
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Number and Algebra
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Level 3
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Number and Algebra
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Number Strategies
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Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages
Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentagesPlay Activities 733Examples
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Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages
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Number Knowledge
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Know basic multiplication and division facts
Know basic multiplication and division factsPlay Activities 325Examples
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Know counting sequences for whole numbers
Know counting sequences for whole numbersPlay Activities 108Examples
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Know how many tenths, tens, hundreds, and thousands are in whole numbers
Know how many tenths, tens, hundreds, and thousands are in whole numbersPlay Activities 204Examples
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Know fractions and percentages in everyday use
Know fractions and percentages in everyday usePlay Activities 181Examples
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Know basic multiplication and division facts
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Equations and Expressions
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Record and interpret additive and simple multiplicative strategies, using, words, diagrams, and symbols, with an understanding of equality
Record and interpret additive and simple multiplicative strategies, using, words, diagrams, and symbols, with an understanding of equalityPlay Activities 314Examples
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Record and interpret additive and simple multiplicative strategies, using, words, diagrams, and symbols, with an understanding of equality
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Patterns and Relationships
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Generalise the properties of addition and subtraction with whole numbers
Generalise the properties of addition and subtraction with whole numbersExamples
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Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns
Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patternsExamples
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Generalise the properties of addition and subtraction with whole numbers
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Number Strategies
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Geometry and Measurement
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Measurement
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Use linear scales and whole numbers of metric units for length, area, volume and capacity, weight (mass), angle, temperature, and time
Use linear scales and whole numbers of metric units for length, area, volume and capacity, weight (mass), angle, temperature, and timePlay Activities 150Examples
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Find areas of rectangles and volumes of cuboids by applying multiplication
Find areas of rectangles and volumes of cuboids by applying multiplicationExamples
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Use linear scales and whole numbers of metric units for length, area, volume and capacity, weight (mass), angle, temperature, and time
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Shape
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Classify plane shapes and prisms by their spatial features
Classify plane shapes and prisms by their spatial featuresPlay Activities 106Examples
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Classify plane shapes and prisms by their spatial features
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Position and Orientation
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Use a co-ordinate system or the language of direction and distance to specify locations and describe paths
Use a co-ordinate system or the language of direction and distance to specify locations and describe pathsExamples
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Use a co-ordinate system or the language of direction and distance to specify locations and describe paths
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Transformation
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Describe the transformations (reflection, rotation, translation, or enlargement) that have mapped one object onto another
Describe the transformations (reflection, rotation, translation, or enlargement) that have mapped one object onto anotherExamples
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Describe the transformations (reflection, rotation, translation, or enlargement) that have mapped one object onto another
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Measurement
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Statistics
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Statistical Investigation
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Conduct investigations using the statistical enquiry cycle: gathering, sorting, and displaying multivariate category and whole-number data and simple time-series data to answer questions; identifying patterns and trends in context, within and between data
Conduct investigations using the statistical enquiry cycle: gathering, sorting, and displaying multivariate category and whole-number data and simple time-series data to answer questions; identifying patterns and trends in context, within and between dataExamples
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Conduct investigations using the statistical enquiry cycle: gathering, sorting, and displaying multivariate category and whole-number data and simple time-series data to answer questions; identifying patterns and trends in context, within and between data
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Statistical Literacy
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Evaluate the effectiveness of different displays in representing the findings of a statistical investigation or probability activity undertaken by others
Evaluate the effectiveness of different displays in representing the findings of a statistical investigation or probability activity undertaken by othersExamples
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Evaluate the effectiveness of different displays in representing the findings of a statistical investigation or probability activity undertaken by others
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Probability
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Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary
Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples varyExamples
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Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary
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Statistical Investigation
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Number and Algebra
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Level 4
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Numbers and Algebra
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Number Strategies and Knowledge
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Use a range of multiplicative strategies when operating on whole numbers
Use a range of multiplicative strategies when operating on whole numbersPlay Activities 531Examples
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Understand addition and subtraction of fractions, decimals, and integers
Understand addition and subtraction of fractions, decimals, and integersPlay Activities 651Examples
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Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals
Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimalsPlay Activities 121Examples
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Apply simple linear proportions, including ordering fractions
Apply simple linear proportions, including ordering fractionsPlay Activities 377Examples
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Know the equivalent decimal and percentage forms for everyday fractions
Know the equivalent decimal and percentage forms for everyday fractionsExamples
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Know the relative size and place value structure of positive and negative integers and decimals to three places
Know the relative size and place value structure of positive and negative integers and decimals to three placesPlay Activities 102Examples
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Use a range of multiplicative strategies when operating on whole numbers
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Equations and Expressions
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Form and solve simple linear equations
Form and solve simple linear equationsExamples
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Form and solve simple linear equations
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Patterns and Relationships
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Generalise properties of multiplication and division with whole numbers
Generalise properties of multiplication and division with whole numbersExamples
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Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns
Use graphs, tables, and rules to describe linear relationships found in number and spatial patternsExamples
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Generalise properties of multiplication and division with whole numbers
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Number Strategies and Knowledge
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Geometry and Measurement
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Measurement
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Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time
Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and timePlay Activities 109Examples
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Convert between metric units, using whole numbers and commonly used decimals
Convert between metric units, using whole numbers and commonly used decimalsPlay Activities 199Examples
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Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids
Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboidsExamples
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Interpret and use scales, timetables, and charts
Interpret and use scales, timetables, and chartsExamples
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Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time
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Shape
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Identify classes of two- and three-dimensional shapes by their geometric properties
Identify classes of two- and three-dimensional shapes by their geometric propertiesExamples
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Relate three-dimensional models to two-dimensional representations, and vice versa
Relate three-dimensional models to two-dimensional representations, and vice versaExamples
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Identify classes of two- and three-dimensional shapes by their geometric properties
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Position and Orientation
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Communicate and interpret locations and directions, using compass directions, distances, and grid references
Communicate and interpret locations and directions, using compass directions, distances, and grid referencesExamples
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Communicate and interpret locations and directions, using compass directions, distances, and grid references
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Transformation
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Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement)
Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement)Examples
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Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement)
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Measurement
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Statistics
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Statistical Investigation
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Plan and conduct investigations using the statistical enquiry cycle: determining appropriate variables and data collection methods; gathering, sorting, and displaying multivariate category, measurement, and time-series data to detect patterns, variations,
Plan and conduct investigations using the statistical enquiry cycle: determining appropriate variables and data collection methods; gathering, sorting, and displaying multivariate category, measurement, and time-series data to detect patterns, variations,Examples
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Plan and conduct investigations using the statistical enquiry cycle: determining appropriate variables and data collection methods; gathering, sorting, and displaying multivariate category, measurement, and time-series data to detect patterns, variations,
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Statistical Literacy
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Evaluate statements made by others about the findings of statistical investigations and probability activities
Evaluate statements made by others about the findings of statistical investigations and probability activitiesExamples
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Evaluate statements made by others about the findings of statistical investigations and probability activities
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Probability
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Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models of the possible outcomes, acknowledging variation and independence
Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models of the possible outcomes, acknowledging variation and independenceExamples
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Use simple fractions and percentages to describe probabilities
Use simple fractions and percentages to describe probabilitiesExamples
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Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models of the possible outcomes, acknowledging variation and independence
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Statistical Investigation
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Numbers and Algebra
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Level 5
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Number and Algebra
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Number Strategies and Knowledge
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Reason with linear proportions
Reason with linear proportionsExamples
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Use prime numbers, common factors and multiples, and powers (including square roots)
Use prime numbers, common factors and multiples, and powers (including square roots)Play Activities 140Examples
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Understand operations on fractions, decimals, percentages, and integers
Understand operations on fractions, decimals, percentages, and integersPlay Activities 714Examples
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Use rates and ratios
Use rates and ratiosPlay Activities 188Examples
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Know commonly used fraction, decimal, and percentage conversions
Know commonly used fraction, decimal, and percentage conversionsExamples
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Know and apply standard form, significant figures, rounding, and decimal place value
Know and apply standard form, significant figures, rounding, and decimal place valuePlay Activities 174Examples
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Reason with linear proportions
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Equations and Expressions
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Form and solve linear and simple quadratic equations
Form and solve linear and simple quadratic equationsExamples
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Form and solve linear and simple quadratic equations
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Patterns and Relationships
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Generalise the properties of operations with fractional numbers and integers
Generalise the properties of operations with fractional numbers and integersExamples
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Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns
Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patternsExamples
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Generalise the properties of operations with fractional numbers and integers
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Number Strategies and Knowledge
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Geometry and Measurement
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Measurement
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Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate
Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximateExamples
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Convert between metric units, using decimals
Convert between metric units, using decimalsExamples
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Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prisms
Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prismsExamples
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Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders
Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylindersExamples
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Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate
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Shape
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Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties
Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these propertiesExamples
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Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representations
Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representationsExamples
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Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties
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Position and Orientation
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Construct and describe simple loci
Construct and describe simple lociExamples
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Interpret points and lines on co-ordinate planes, including scales and bearings on maps
Interpret points and lines on co-ordinate planes, including scales and bearings on mapsExamples
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Construct and describe simple loci
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Transformation
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Define and use transformations and describe the invariant properties of figures and objects under these transformations
Define and use transformations and describe the invariant properties of figures and objects under these transformationsExamples
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Apply trigonometric ratios and Pythagoras' theorem in two dimensions
Apply trigonometric ratios and Pythagoras' theorem in two dimensionsExamples
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Define and use transformations and describe the invariant properties of figures and objects under these transformations
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Measurement
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Statistics
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Statistical Investigation
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Plan and conduct surveys and experiments using the statistical enquiry cycle: determining appropriate variables and measures; considering sources of variation; gathering and cleaning data; using multiple displays, and re-categorising data to find patterns
Plan and conduct surveys and experiments using the statistical enquiry cycle: determining appropriate variables and measures; considering sources of variation; gathering and cleaning data; using multiple displays, and re-categorising data to find patternsExamples
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Plan and conduct surveys and experiments using the statistical enquiry cycle: determining appropriate variables and measures; considering sources of variation; gathering and cleaning data; using multiple displays, and re-categorising data to find patterns
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Statistical Literacy
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Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings
Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findingsExamples
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Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings
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Probability
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Calculate probabilities, using fractions, percentages, and ratios
Calculate probabilities, using fractions, percentages, and ratiosExamples
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Calculate probabilities, using fractions, percentages, and ratios
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Statistical Investigation
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Number and Algebra
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Level 6
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Number and Algebra
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Number Strategies and Knowledge
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Apply direct and inverse relationships with linear proportions
Apply direct and inverse relationships with linear proportionsPlay Activities 188Examples
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Extend powers to include integers and fractions
Extend powers to include integers and fractionsExamples
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Find optimal solutions, using numerical approaches
Find optimal solutions, using numerical approachesExamples
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Apply direct and inverse relationships with linear proportions
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Equations and Expressions
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Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns
Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknownsExamples
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Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns
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Patterns and Relationships
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Generalise the properties of operations with rational numbers, including the properties of exponents
Generalise the properties of operations with rational numbers, including the properties of exponentsExamples
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Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns
Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patternsExamples
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Relate rate of change to the gradient of a graph
Relate rate of change to the gradient of a graphExamples
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Generalise the properties of operations with rational numbers, including the properties of exponents
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Number Strategies and Knowledge
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Geometry and Measurement
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Measurement
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Calculate volumes, including prisms, pyramids, cones, and spheres, using formulae
Calculate volumes, including prisms, pyramids, cones, and spheres, using formulaeExamples
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Calculate volumes, including prisms, pyramids, cones, and spheres, using formulae
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Shape
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Deduce and apply the angle properties related to circles
Deduce and apply the angle properties related to circlesExamples
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Recognise when shapes are similar and use proportional reasoning to find an unknown length
Recognise when shapes are similar and use proportional reasoning to find an unknown lengthExamples
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Use trigonometric ratios and Pythagoras' theorem in two and three dimensions
Use trigonometric ratios and Pythagoras' theorem in two and three dimensionsExamples
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Deduce and apply the angle properties related to circles
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Transformation
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Compare and apply single and multiple transformations
Compare and apply single and multiple transformationsExamples
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Analyse symmetrical patterns by the transformations used to create them
Analyse symmetrical patterns by the transformations used to create themExamples
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Compare and apply single and multiple transformations
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Measurement
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Statistics
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Statistical Investigation
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Plan and conduct investigations using the statistical enquiry cycle: justifying the variables and measures used; managing sources of variation, including through the use of random sampling; identifying and communicating features in context (trends, relati
Plan and conduct investigations using the statistical enquiry cycle: justifying the variables and measures used; managing sources of variation, including through the use of random sampling; identifying and communicating features in context (trends, relatiExamples
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Plan and conduct investigations using the statistical enquiry cycle: justifying the variables and measures used; managing sources of variation, including through the use of random sampling; identifying and communicating features in context (trends, relati
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Statistical Investigation
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Number and Algebra
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Level 7
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Mathematics
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Patterns and Relationships
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Apply co-ordinate geometry techniques to points and lines
Apply co-ordinate geometry techniques to points and linesExamples
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Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs
Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphsExamples
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Apply co-ordinate geometry techniques to points and lines
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Equations and Expressions
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Manipulate rational, exponential, and logarithmic algebraic expressions
Manipulate rational, exponential, and logarithmic algebraic expressionsExamples
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Manipulate rational, exponential, and logarithmic algebraic expressions
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Patterns and Relationships
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Mathematics