Mathematics
Learning mathematics creates opportunities for and enriches the lives of all Australians. The Australian Curriculum: Mathematics provides students with essential mathematical skills and knowledge in number and algebra, measurement and geometry, and statistics and probability. It develops the numeracy capabilities that all students need in their personal, work and civic life, and provides the fundamentals on which mathematical specialties and professional applications of mathematics are built.
Mathematics has its own value and beauty and the Australian Curriculum: Mathematics aims to instil in students an appreciation of the elegance and power of mathematical reasoning. Mathematical ideas have evolved across all cultures over thousands of years, and are constantly developing. Digital technologies are facilitating this expansion of ideas and providing access to new tools for continuing mathematical exploration and invention. The curriculum focuses on developing increasingly sophisticated and refined mathematical understanding, fluency, reasoning, and problem-solving skills. These proficiencies enable students to respond to familiar and unfamiliar situations by employing mathematical strategies to make informed decisions and solve problems efficiently.
The Australian Curriculum: Mathematics ensures that the links between the various components of mathematics, as well as the relationship between mathematics and other disciplines, are made clear. Mathematics is composed of multiple but interrelated and interdependent concepts and systems which students apply beyond the mathematics classroom. In science, for example, understanding sources of error and their impact on the confidence of conclusions is vital, as is the use of mathematical models in other disciplines. In geography, interpretation of data underpins the study of human populations and their physical environments; in history, students need to be able to imagine timelines and time frames to reconcile related events; and in English, deriving quantitative and spatial information is an important aspect of making meaning of texts.
The curriculum anticipates that schools will ensure all students benefit from access to the power of mathematical reasoning and learn to apply their mathematical understanding creatively and efficiently. The Mathematics curriculum provides students with carefully paced, in-depth study of critical skills and concepts. It encourages teachers to help students become self-motivated, confident learners through inquiry and active participation in challenging and engaging experiences.
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Exploring Decimal Place Value
A 60 minute lesson in which students will revise decimal place value and compare, order and represent decimals.
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Counting By Fractions
A 60 minute lesson in which students will count by common unit fractions and mixed numerals.
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Telling the Time Assessment - Year 1 and Year 2
A 60 minute assessment designed to assess student learning.
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Adding and Subtracting Like Fractions
A 60 minute lesson in which students will add and subtract fractions with the same denominator.
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Applications of Time Assessment - Year 5 and Year 6
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Exploring Numbers Unit Plan
This Mathematics unit addresses a range of number concepts involving identifying, sequencing and representing.
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Exploring Subtraction Strategies Unit Plan
This Mathematics unit covers a range of mental computation strategies for subtraction.
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Exploring Unit Fractions
A 60 minute lesson in which students will identify and explore common unit fractions.
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Recognising and Creating Fractions
A 60 minute lesson in which students will recognise and create halves, quarters, thirds, fifths, sixths and eighths.
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Halves and Quarters
A 60 minute lesson in which students will identify halves and quarters.
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Volume Investigation - The Land of Cubes
A 60 minute lesson in which students will apply knowledge and understanding of volume to a real-world context.
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Measuring Volume
A 60 minute lesson in which students will measure volumes of 3D objects using informal units.
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Mass Investigation - How Heavy Are the Objects in Your Classroom?
A 60 minute lesson in which students will apply knowledge and understanding of mass to a real-world context.
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Using Balance Scales
A 60 minute lesson in which students will create a set of balance scales for measuring and comparing the masses of objects.
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Operations with Decimals and Percentages Assessment - Year 5 and Year 6
An assessment task in which students will demonstrate an understanding of decimals and percentages.
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Reading an Analogue Clock
A 60 minute lesson in which students will understand and recognise the features of the analogue clock.
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Improper Fractions and Mixed Numerals
A 60 minute lesson in which students will convert between improper fractions and mixed numerals.
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12- and 24-Hour Time
A 60 minute lesson in which students will understand the relationship between 12- and 24-hour time systems.
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Learning Time! Unit Plan
This Mathematics unit addresses the concept of time for young learners. It focuses on the days of the week, connecting familiar events to particular days and sequencing events in time order.
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Understanding Equivalence
A 60 minute lesson in which students will identify and explore equivalent fractions.
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Partitioning Numbers Beyond 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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Beyond 10 000
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Think 'Addition' to Subtract
A 60-minute lesson in which students apply their knowledge of addition and subtraction as inverse operations to solve equations with missing addends.
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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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Comparing and Ordering Numbers
A 60 minute lesson in which students will compare and order 4-digit numbers.
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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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Revision of Capacity
A 60 minute lesson in which students will revise and consolidate the concept of capacity.
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Assessment - Measuring Volume with Informal Units
A 30 minute assessment in which students will demonstrate their knowledge and understanding volume.
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Measuring Area
A 60 minute lesson in which students will explore the concept of area and how it can be measured using informal square units.
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Maths Investigation - Prepare to Party (2)
A 60 minute lesson in which students will apply knowledge of decimals and percentages to a real-world context.
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Number Patterns
A 60 minute lesson in which students will identify patterns in number sequences.
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Placing Numbers on a Number Line
A 60 minute lesson in which students will understand how numbers are placed on a number line.