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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Introduction to Decimals - Hundredths
A 60 minute lesson in which students will explore hundredths as fractions and in decimal notation.
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Telling the Time to the Quarter Hour (2)
A 60 minute lesson in which students will tell the time to the quarter hour on analogue clocks.
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Early Multiplication Unit Plan
This Mathematics unit covers a range of concepts relating to early multiplication skills.
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Multiplying Decimals by Whole Numbers
A 60 minute lesson in which students will multiply decimals by whole numbers.
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Exploring 2-Digit Place Value Unit Plan
This Mathematics unit addresses a range of 2-digit place value number concepts involving identifying, sequencing and representing.
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Measuring, Comparing and Ordering Capacities
A 60 minute lesson in which students will estimate and measure the capacity of containers using informal units.
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Calculating Sale Price
A 60 minute lesson in which students will calculate sale price using percentage discounts of 10%, 25% and 50%.
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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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Telling the Time to the Quarter Hour (1)
A 60 minute lesson in which students will tell the time to the quarter hour on analogue clocks.
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Addition Detectives
This Mathematics unit covers a range of mental computation strategies for addition.
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Measuring Volume with Informal Units Unit Plan
This Mathematics unit addresses the concept of measuring, comparing and ordering volume using informal units.
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Measuring Mass with Informal Units Unit Plan
This Mathematics unit addresses the concept of measuring, comparing and ordering mass using informal units.
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Assessment - Measuring Capacity with Informal Units
A 30 minute assessment in which students will demonstrate their knowledge and understanding of capacity.
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Fraction, Decimal and Percentage Equivalence
A 60 minute lesson in which students will make connections between equivalent fractions, decimals and percentages.
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Multiplying and Dividing by Powers of 10
A 60 minute lesson in which students will multiply and divide decimals by powers of 10.
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Equivalent Fractions on a Number Line
A 60 minute lesson in which students will locate and represent some common equivalent fractions on a number line.
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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.
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Adding and Subtracting Related Fractions
A 60 minute lesson in which students will add and subtract fractions with related denominators.
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Exploring 3-Digit Place Value Unit Plan
This Mathematics unit addresses a range of 3-digit place value number concepts involving identifying, sequencing and representing.
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Applications of Time Unit Plan - Year 5 and Year 6
This Mathematics unit addresses the concepts of 12- and 24-hour time, timetables and timelines.
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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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Comparing Capacities
A 60 minute lesson in which students will explore and compare the capacity of containers.
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Introduction to Volume
A 60 minute lesson in which students will explore the concept of volume by comparing and ordering objects.
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Assessment - Measuring Area with Informal Units
A 30 minute assessment in which students will demonstrate their knowledge and understanding of area.
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Maths Investigation - Prepare to Party (1)
A 60 minute lesson in which students will apply knowledge of decimals and percentages to a real-world context.
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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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The Prism Predicament
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It's About Time
A 60 minute lesson in which students will understand how to tell time to the minute and investigate the relationship between units of time.
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Measuring Length with Informal Units Unit Plan
This Mathematics unit addresses the concept of measuring, comparing and ordering length using informal units.
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Introduction to Fractions Assessment - Year 1 and Year 2
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Measuring Area of Shapes
A 60 minute lesson in which students will measure the area of plane shapes using informal square units.
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Introduction to Area