Year 3
The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.
At this year level:
- understanding includes connecting number representations with number sequences, partitioning and combining numbers flexibly, representing unit fractions, using appropriate language to communicate times, and identifying environmental symmetry
- fluency includes recalling multiplication facts, using familiar metric units to order and compare objects, identifying and describing outcomes of chance experiments, interpreting maps and communicating positions
- problem-solving includes formulating and modelling authentic situations involving planning methods of data collection and representation, making models of three-dimensional objects and using number properties to continue number patterns
- reasoning includes using generalising from number properties and results of calculations, comparing angles and creating and interpreting variations in the results of data collections and data displays.
(source: www.australiancurriculum.edu.au)
Achievement Standard
By the end of Year 3, students recognise the connection between addition and subtraction and solve problems using efficient strategies for multiplication. They model and represent unit fractions. They represent money values in various ways. Students identify symmetry in the environment. They match positions on maps with given information. Students recognise angles in real situations. They interpret and compare data displays.
Students count to and from 10 000. They classify numbers as either odd or even. They recall addition and multiplication facts for single-digit numbers. Students correctly count out change from financial transactions. They continue number patterns involving addition and subtraction. Students use metric units for length, mass and capacity. They tell time to the nearest minute. Students make models of three-dimensional objects. Students conduct chance experiments and list possible outcomes. They conduct simple data investigations for categorical variables.
(source: www.australiancurriculum.edu.au)
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Finding Your Strategy
A 60-minute lesson designed to reinforce that students can choose to use different addition strategies in different situations.
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Assessment - Addition Strategies
A 30-minute assessment designed to assess students' understanding of working with place value to solve problems, the connection between addition and subtraction, and the development of efficient mental strategies for computation.
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Compensation Strategy
A 60-minute lesson designed to build upon students' understanding of addition and subtraction by exploring compensation.
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Linking Addition and Subtraction
A 60-minute lesson designed to investigate the relationship between addition and subtraction.
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Split Strategy
A 60-minute lesson designed to progress students' understanding of mental addition by partitioning numbers into place value to help them find a total.
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Number Boards
A 60-minute lesson designed to explore the use of number boards/hundreds charts when adding numbers.
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Bridging to Ten
A 60-minute lesson designed for students to recall 'friends of ten' facts and use this knowledge to solve addition sums.
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Concrete Materials
A 60-minute lesson to reinforce students' understanding of basic addition principles, using concrete materials.
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Exploring 4-Digit Place Value - Assessment
An assessment task in which students will demonstrate an understanding of place value in the thousands.
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More and Less - 10, 100, 1000
A 60 minute lesson in which students will add or subtract 10, 100 or 1000 from a 4-digit number.
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Rounding Numbers to 10 and 100
A 60 minute lesson in which students will round 4-digit numbers to the nearest 10 and 100.
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Expanding Numbers to 10 000
A 60 minute lesson in which students will investigate how place value can be used to expand numbers.
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Partitioning Numbers to 10 000
A 60 minute lesson in which students will investigate how place value can be used to partition numbers into smaller parts.
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Exploring Place Value to 10 000
A 60 minute lesson in which students will further explore place value in the thousands.
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Which Place?
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Exploring Fractions and Decimals Assessment - Year 3 and Year 4
An assessment task in which students will demonstrate an understanding of fractions and decimals.
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Fractions Investigation - Fly That Flag (3)
A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.
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Fractions Investigation - Fly That Flag (2)
A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.
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The Test of Time
A 60 minute assessment in which students will demonstrate their knowledge and understanding of time.
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One More Time Around the World
A 60 minute lesson in which students will apply knowledge and understanding of time zones around the world to complete a classroom time zones display.
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Fractions Investigation - Fly That Flag (1)
A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.
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Time After Time
A 60 minute lesson in which students will understand am and pm notation and calculate elapsed time.
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The Sands of Time
A 60 minute lesson in which students will apply their knowledge and understanding of time to a real-world context.
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Assessment – 3D Object Profiles
An assessment task designed for students to demonstrate their ability to make 3D object models and describe their features.
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Polyhedrons and Pals
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The Problematic Pyramids
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A Moment in Time
A 60 minute lesson in which students will explore units of time and how to convert between them.
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The Prism Predicament
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2D or Not 2D?
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Do You Have the Time?
A 60 minute lesson in which students will refine and consolidate their knowledge of time conversions.
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Creating Common Fractions
A 60 minute lesson in which students will represent common unit fractions and their multiples to create a whole.
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Recognising Common Fractions
A 60 minute lesson in which students will recognise common unit fractions such as halves, thirds, quarters and fifths.