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Australian Curriculum
Victorian Curriculum + MACS
NSW Syllabus
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Australian Curriculum Year 5 Maths

Adding and Subtracting Fractions
5 Lessons
1. Adding and subtracting fractions by drawing (same denominator)
2. Adding and subtracting fractions using a number line (same denominator)
3. Adding and subtracting fractions mentally (same denominator)
4. Adding related fractions
5. Subtracting related fractions
Shape and Angle
11 Lessons
1. Constructing 3D objects
2. Sketching nets of prisms and pyramids
3. Translating and reflecting
4. Measuring angles (acute, right, obtuse)
5. Measuring angles (acute, right, obtuse, straight and reflex)
6. Rotating shapes
7. Constructing angles (acute, right, obtuse)
8. Constructing angles (acute, right, obtuse, straight and reflex)
9. Estimating size of angles
10. Working with lines of symmetry
11. Working with rotational symmetry
Decimals
10 Lessons
1. Representing decimals on a number line
2. Making a whole using decimals
3. Shading hundreds grids (half, fifths, quarters)
4. Writing fractions, mixed numerals and decimals for thousand grids
5. Shading hundreds grids (decimals to thousandths)
6. Comparing and ordering thousandths
7. Rounding decimals
8. Writing fractions as decimals and percentages (tenths, hundredths)
9. Writing fractions as decimals and percentages (half, quarters, fifths)
10. Rounding to estimate
Time
4 Lessons
1. Converting between 24 and 12 hour time
2. Calculating elapsed time
3. Calculating finishing time
4. Calculating start time
Grid Coordinates
4 Lessons
1. Writing coordinates on a Cartesian plane (one quadrant only)
2. Plotting coordinates on a Cartesian plane (one quadrant only)
3. Writing coordinates of shapes (one quadrant only)
4. Drawing shapes on a Cartesian plane (one quadrant only)
Chance
2 Lessons
1. Representing probabilities using fractions
2. Predicting results of probability experiments
Improper Fractions
5 Lessons
1. Converting mixed numerals to improper fractions by drawing
2. Converting improper fractions to mixed numerals by drawing
3. Converting mixed numerals to improper fractions by multiplying
4. Converting improper fractions to mixed numerals by dividing
5. Ordering numbers and fractions
Data
7 Lessons
1. Using and representing a rating scale
2. Interpreting tables
3. Interpreting column graphs (small intervals)
4. Collecting large-scale categorical data
5. Representing data in a table and column graph
6. Interpreting column graphs (large intervals)
7. Interpreting line graphs
Applying multiplication and division facts
21 Lessons
1. Multiplying multiples of 10
2. Multiplying using concrete materials
3. Multiplying using an algorithm
4. Dividing using concrete materials (regrouping, no remainder)
5. Dividing using algorithm 1 (regrouping, no remainder)
6. Dividing using algorithm 2 (regrouping, no remainder)
7. Applying the distributive property
8. Using bar models for multiplication
9. Using bar models for division
10. Applying the associative property
11. Dividing using an algorithm (fractional remainder)
12. Finding unknowns in multiplication equations
13. Finding unknowns in division equations
14. Representing remainders as decimals
15. Apply distributive property to solve multiplication problems
16. Apply associative property to solve multiplication problems
17. Multiplying by powers of 10
18. Dividing multiples of 10 by powers of 10
19. Dividing by powers of 10
20. Multiplying 2-digit by 2-digit numbers using an algorithm
1 of 2
Addition and Subtraction (Part 1)
15 Lessons
1. Deriving addition and subtraction facts
2. Deriving addition and subtraction facts by using given calculations
3. Choosing appropriate addition strategies
4. Choosing appropriate subtraction strategies
5. Applying and consolidating: Related number facts and appropriate strategies
6. Adding using the column method
7. Adding using the column method, when multiple columns require regrouping
8. Subtracting using the column method
9. Subtracting using the column method, when multiple columns require regrouping
10. Subtracting from multiples of 1000
11. Applying and consolidating: Column method for addition and subtraction
12. Representing one-step word problems
13. Representing comparison word problems
14. Solving two-step word problems
15. Applying and consolidating: Word problems and bar models
Addition and Subtraction (Part 2)
12 Lessons
1. Adding using a vertical algorithm (regrouping)
2. Subtracting using a vertical algorithm (regrouping across zeroes)
3. Using fact families to solve addition equations
4. Using fact families to solve subtraction equations
5. Bar modelling for addition
6. Bar modelling for subtraction
7. Adding numbers using a number line
8. Subtracting numbers using a number line
9. Adding numbers using partitioning
10. Subtracting numbers using partitioning
11. Adding numbers using compensation
12. Subtracting numbers using constant difference
Deriving Multiplication and Division Facts
3 Lessons
1. Multiplication as repeated addition
2. Multiplication as arrays
3. Multiplication : Fact Families and Division
2D Perimeter and Area
12 Lessons
1. To calculate and measure perimeter
2. To calculate the area of rectangles
3. To calculate the area of basic compound shapes
4. To compare the area and perimeter of rectangles
5. To calculate the area of non-rectilinear shapes
6. Finding area by counting squares
7. Calculating area by multiplying grid squares
8. Calculating area by multiplying length and width
9. Calculating area and perimeter
10. Calculating a missing side given length and area
11. Costing area
12. Costing area and perimeter
Integers
9 Lessons
1. Understanding other powers of ten within one-million
2. Reading and writing 7-digit numbers
3. Understanding how the digits in a number indicate its structure
4. Compare and order numbers to ten million
5. Rounding to a required degree of accuracy
6. Estimating and rounding contexts
7. Strategies for addition
8. Strategies for subtraction
9. Applying addition and subtraction
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1. Multiplication as repeated addition

Australian Curriculum Year 5 Maths Deriving Multiplication and Division Facts 1. Multiplication as repeated addition
In this lesson, we will investigate the relationship between repeat addition and multiplication.
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