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Australian Curriculum
Victorian Curriculum + MACS
NSW Syllabus
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Australian Curriculum Year 6 Maths

Working with Fractions
3 Lessons
1. Converting mixed numerals to improper fractions by multiplying
2. Converting improper fractions to mixed numerals by dividing
3. Simplifying fractions
Time
2 Lessons
1. Interpreting timetables
2. Planning a journey
Adding and Subtracting Fractions
6 Lessons
1. Adding fractions
2. Adding mixed numbers
3. Adding and subtracting fractions (simplest form)
4. Adding and subtracting fractions with related denominators
5. Adding and subtracting fractions with related denominators making denominators the same
6. Multiplying fractions using repeat addition
Shape
8 Lessons
1. Measuring angles using a protractor
2. Constructing an angle using a protractor
3. Drawing angles
4. Calculating complementary angles
5. Calculating supplementary angles
6. Creating prisms and pyramids
7. Calculating angles around a point
8. Calculating vertically opposite angles
Chance
5 Lessons
1. Estimating probabilities
2. Estimating probabilities of an event
3. Conducting probability trials
4. Calculating % frequency
5. Constructing pie charts
Whole Number and Quantity
7 Lessons
1. Comparing and ordering integers
2. Calculating the difference between integers
3. Subtracting positive integers resulting in a negative integer
4. Adding positive integers to negative integers
5. Adding negative integers to positive integers
6. Extending number sequences for additive and multiplicative patterns
7. Describing number patterns using numerical expressions
Decimals and Percentages
4 Lessons
1. Using 50%
2. Using 10%
3. Using multiples of 10%
4. Using 25%
Data
8 Lessons
1. Constructing column graphs
2. Interpreting column graphs
3. Constructing side-by-side column graphs
4. Interpreting side-by-side column graphs
5. Collecting numerical data
6. Constructing a line graph
7. Interpreting line graphs
8. Identifying misleading data representations
Grid Coordinates
6 Lessons
1. Writing coordinates on a Cartesian plane (one quadrant only)
2. Drawing shapes on a Cartesian plane (one quadrant only)
3. Writing coordinates on a Cartesian plane
4. Plotting points on a Cartesian plane
5. Writing coordinates of shapes
6. Drawing shapes on a Cartesian plane
Perimeter, Area & Volume
16 Lessons
1. Calculating perimeters of composite shapes
2. Calculating perimeters of rectangles
3. Finding missing side lengths of rectangles given perimeter
4. Relating perimeter to fencing cost
5. Calculating rectangle area using a formula
6. Calculating area and perimeter using a ruler
7. Finding missing side lengths of rectangles given area
8. Calculating areas of rectangular composite shapes
9. Calculating areas of rectangular composite shapes by subtraction
10. Applying area
11. Calculating area of parallelograms
12. Estimating volume by counting blocks
13. Estimating volume by skip counting
14. Calculating the area of triangles
15. Calculating volume of prisms by counting blocks
16. Calculating volume of prisms using dimensions
Angles
5 Lessons
1. Find the value of missing angles
2. Compare and classify triangles
3. Compare and classify quadrilaterals
4. Find unknown angles in triangles
5. Find the value of missing angles in quadrilaterals
Addition and Subtraction Problem Solving
10 Lessons
1. Using and explaining addition strategies
2. Using and explaining addition and subtraction strategies
3. Adding and subtracting using multiples of 10, 100, 1000, 10 000 and 100 000
4. Adding and subtracting using the ’round and adjust’ strategy
5. Adding and subtracting using partitioning
6. Rounding to estimate
7. Adding using the column method
8. Subtracting using the column method
9. Problem solving using the column method
10. Solving multi-step addition and subtraction problems
Fractions
10 Lessons
1. Identify, Describe and Represent Fractions
2. Understanding Equivalence
3. Finding Equivalent Fractions
4. Compare Fractions Less Than One
5. Working with Fractions Greater than One
6. Adding Fractions
7. Subtracting Fractions
8. Decimal and fraction equivalence
9. Converting between decimals and fractions
10. Fractions problem solving
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5. Working with Fractions Greater than One

Australian Curriculum Year 6 Maths Fractions 5. Working with Fractions Greater than One
In this lesson, we will be exploring improper and mixed numbers, including converting between the two.
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