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Year 5
1. Number and Algebra
1.1. Number & place value
1.2. Operations on Large Numbers
2. Factors and Multiples
2.1. Factors and Multiples of a Number
2.2. Tests of Divisibility
2.3. Prime Factors of a Number
2.4. HCF and LCM
3. Fractions and decimals
3.1. Unit fractions on number lines
3.2. Inequalities with addition and subtraction of fractions
3.3. Add three or more fractions
3.4. Add and subtract mixed numbers with like denominators
3.5. Decompose fractions multiple ways
3.6. Decompose fractions
3.7. Compare unit fractions using number lines
3.8. Compare unit fractions using models
3.9. Compare unit fractions
3.10. Like and Unlike Fractions
3.11. Unit Fraction
3.12. Proper, Improper and Mixed Fractions
3.13. Equivalent Fractions
3.14. Simplest Form of a Fraction
3.15. Compare Fractions
3.16. Addition and Subtraction of Fractions
3.17. Word Problems on Fractions
4. Decimals
4.1. Decimals on number lines
4.2. Compare decimals and fractions
4.3. Compare decimals and fractions on number lines
4.4. Put assorted decimals, fractions and mixed numbers in order
4.5. Reading a Decimal Number
4.6. Place Value Chart
4.7. Pictorial Representation of a Decimal Number
4.8. Expanded Form of Decimal Numbers
4.9. Like and Unlike Decimals
4.10. Comparing Decimals
4.11. Ordering Decimals
4.12. Relate Decimals and Fractions
4.13. Operations on Decimals
4.14. Multiplication and Division of Decimals
5. Rounding Numbers
5.1. Rounding Off Numbers
5.2. Rounding Off the Decimals
6. Measurement and geometry
6.1. Measurement of Length
6.2. Measurement of Weight
6.3. Measurement of Capacity
7. Average
8. Percentage
8.1. Convert a Fraction into Percentage
8.2. Convert a Percentage into Fraction
8.3. Convert Decimal into Percentage
8.4. Convert Percentage into Decimal
8.5. Percentage of a Quantity
8.6. Word Problems on Percentage
9. Time
9.1. 24-Hour Clock Time
9.2. Use of 'AM' and 'PM'
9.3. Relate Year, Month, Week, Days, Hours, Minutes, and Seconds
9.4. Addition and Subtraction of Time
10. Money and financial mathematics
10.1. Reading financial records
10.2. Keeping financial records
10.3. Budget
10.4. Addition and Subtraction of Money
10.5. Multiplication and Division of Money
10.6. Word problems on Money
11. Geometry
11.1. Understand the Basic Terms in Geometry (Point, Line, line segment, ray, and Plane)
11.2. Angles
11.3. Types of Lines
11.4. Set Squares
11.5. Collinear and Non-Collinear Points
11.6. Triangles
11.7. Circle
12. Area and Perimeter
12.1. Understanding the Concept of Perimeter
12.2. Perimeter of a Triangle
12.3. Perimeter of Polygons
12.4. Area and Perimeter of a Square
12.5. Area and Perimeter of a Rectangle
12.6. Circumference of a Circle
13. Volume
13.1. Volume of Cuboid
13.2. Volume of Cube
13.3. Word Problems on Volume of Cube and Cuboid
14. Data Handling
14.1. Pictographs
14.2. Bar Graphs
14.3. Pie Charts
15. Exponents
15.1. Understanding powers of ten
15.2. Write powers of ten with exponents
15.3. Multiply a whole number by a power of ten
15.4. Multiply a decimal by a power of ten
15.5. Divide by a power of ten
15.6. Understanding exponents
15.7. Evaluate exponents
15.8. Find the missing exponents
16. Problem solving
16.1. Make the largest and smallest possible quotient
16.2. Word Problems
16.3. Use Venn diagrams to solve problems
17. Pattern & Algebra
17.1. Arithmetic sequences with decimals
17.3. Arithmetic sequences with fractions
17.4. Complete the number pattern
17.5. Number sequence: word problems
18. Coordinate plane
18.1. Definition of coordinate plane
18.2. Find the coordinates
18.3. Graph points on a coordinate plane
18.4. Complete the table and draw the graph
18.5. Analyze graphed relationships
18.6. Miscellaneous problems
19. Variable expressions
19.1. Write variable expressions
19.2. Evaluate variable expressions
19.3. Write variable expressions: word problems
19.4. Solve the equations
19.5. Questions on two-variables equations
19.6. Questions on graph
19.7. Graph a two-variable relationship
19.8. Write a two-variable equation
19.9. Write variable equations: word problems
20. Probability and statistics
20.1. Revisiting concepts
20.2. Find the missing numbers
20.3. Interpret charts and graphs
20.4. Understanding probability
20.5. Predictions
20.6. Combinations
21. Symmetry and transformations
21.1. Line symmetry
21.2. Rotational symmetry
21.3. Reflection, rotation, and translation
21.4. Identify congruent and similar figures
22. Two-dimensional figures
22.1. Revisiting concepts
22.2. Types of polygons
22.3. Lines and its type
22.4. Various angles
22.5. Measure angles with a protractor
22.6. Properties of polygons
22.7. Venn diagrams
22.8. Parts of a circle
23. Three-dimensional figures
23.1. Revisiting concepts
23.2. Nets of three-dimensional figures
23.3. Three-dimensional figures viewed from different perspectives

Year 5 Australian School Math Year 5

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