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Grade 5
1. Large Numbers
1.1. Representation of Large Numbers
1.2. Successor and Predecessor
1.3. n Digit Numbers
1.4. Place of a Digit
1.5. Compare Large Numbers
1.6. Operations on Large Numbers
2. Roman Numerals (up to 1000)
2.1. Introduction to Roman Numerals
2.2. Write Roman Numerals for Natural numbers
2.3. Write Natural numbers for Roman Numerals
2.4. Meaningless Roman Numerals
2.5. Compare Roman Numerals
3. Simplification
3.1. Numerical Expressions Without Brackets (DMAS)
3.2. Numerical Expressions With Brackets (BODMAS)
4. Factors and Multiples
4.1. Factors and Multiples of a Number
4.2. Tests of Divisibility
4.3. Prime Factors of a Number
4.4. HCF and LCM
5. Fractions
5.1. Like and Unlike Fractions
5.2. Unit Fraction
5.3. Proper, Improper and Mixed Fractions
5.4. Equivalent Fractions
5.5. Simplest Form of a Fraction
5.6. Compare Fractions
5.7. Addition and Subtraction of Fractions
5.8. Multiplication and Division of Fractions
5.9. Word Problems on Fractions
6. Decimals
6.1. Reading a Decimal Number
6.2. Place Value Chart
6.3. Pictorial Representation of a Decimal Number
6.4. Expanded Form of Decimal Numbers
6.5. Like and Unlike Decimals
6.6. Comparing Decimals
6.7. Ordering Decimals
6.8. Relate Decimals and Fractions
6.9. Operations on Decimals
6.10. Multiplication and Division of Decimals
7. Rounding Numbers
7.1. Rounding Off Numbers
7.2. Rounding Off the Decimals
7.3. Estimating Sum
7.4. Estimating Difference
7.5. Estimating Products
8. Measurement
8.1. Measurement of Length
8.2. Measurement of Weight
8.3. Measurement of Capacity
9. Average
10. Percentage
10.1. Convert a Fraction into Percentage
10.2. Convert a Percentage into Fraction
10.3. Convert Decimal into Percentage
10.4. Convert Percentage into Decimal
10.5. Percentage of a Quantity
10.6. Word Problems on Percentage
11. Time
11.1. 24-Hour Clock Time
11.2. Use of 'AM' and 'PM'
11.3. Relate Year, Month, Week, Days, Hours, Minutes, and Seconds
11.4. Addition and Subtraction of Time
12. Money
12.1. Conversion of Money
12.2. Addition and Subtraction of Money
12.3. Multiplication and Division of Money
12.4. Word problems on Money
13. Geometry
13.1. Understand the Basic Terms in Geometry (Point, Line, line segment, ray, and Plane)
13.2. Angles
13.3. Types of Lines
13.4. Set Squares
13.5. Collinear and Non-Collinear Points
13.6. Triangles
13.7. Circle
14. Area and Perimeter
14.1. Understanding the Concept of Perimeter
14.2. Perimeter of a Triangle
14.3. Perimeter of Polygons
14.4. Area and Perimeter of a Square
14.5. Area and Perimeter of a Rectangle
15. Volume
15.1. Volume of Cuboid
15.2. Volume of Cube
15.3. Word Problems on Volume of Cube and Cuboid
16. Data Handling
16.1. Pictographs
16.2. Bar Graphs
16.3. Pie Charts
17. Exponents
17.1. Understanding powers of ten
17.2. Write powers of ten with exponents
17.3. Multiply a whole number by a power of ten
17.4. Multiply a decimal by a power of ten
17.5. Divide by a power of ten
17.6. Understanding exponents
17.7. Evaluate exponents
17.8. Find the missing exponents
18. Problem solving
18.1. Make the largest and smallest possible quotient
18.2. Word Problems
18.3. Use Venn diagrams to solve problems
19. Number sequences
19.1. Complete the number sequence
19.2. Compare patterns
19.3. Complete the number pattern
19.4. Number sequence: word problems
20. Coordinate plane
20.1. Definition of coordinate plane
20.2. Find the coordinates
20.3. Graph points on a coordinate plane
20.4. Complete the table and draw the graph
20.5. Analyze graphed relationships
20.6. Miscellaneous problems
21. Variable expressions
21.1. Write variable expressions
21.2. Evaluate variable expressions
21.3. Write variable expressions: word problems
21.4. Solve the equations
21.5. Questions on two-variables equations
21.6. Questions on graph
21.7. Graph a two-variable relationship
21.8. Write a two-variable equation
21.9. Write variable equations: word problems
22. Probability and statistics
22.1. Revisiting concepts
22.2. Find the missing numbers
22.3. Interpret charts and graphs
22.4. Understanding probability
22.5. Predictions
22.6. Combinations
23. Symmetry and transformations
23.1. Line symmetry
23.2. Rotational symmetry
23.3. Reflection, rotation, and translation
23.4. Identify congruent and similar figures
24. Two-dimensional figures
24.1. Revisiting concepts
24.2. Types of polygons
24.3. Lines and its type
24.4. Various angles
24.5. Measure angles with a protractor
24.6. Properties of polygons
24.7. Venn diagrams
24.8. Parts of a circle
25. Three-dimensional figures
25.1. Revisiting concepts
25.2. Nets of three-dimensional figures
25.3. Three-dimensional figures viewed from different perspectives
26. Financial literacy
26.1. Identify types of taxes
26.2. Income and payroll taxes: understanding pay stubs
26.3. Income and payroll taxes: word problems
26.4. Sales and property taxes: word problems
26.5. Understand gross and net income
26.6. Calculate gross and net income
26.7. Identify advantages and disadvantages of payment methods
26.8. Evaluate payment methods
26.9. Reading financial records
26.10. Keeping financial records
26.11. Budget

Grade 5 USA School Math Grade 5

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