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Grade 4
Fractions
Comparison of Fractions
Compare and Order Fractions with Same Denominators

Grade 4

1. Numbers (5-Digit and 6-Digit)

1.1. Representation of Large Numbers

1.1.1. Write Large Numbers by Separating the Periods

1.1.2. Write Numerals as Number Names

1.1.3. Write Number Names as Numerals

1.2. Forming Numbers

1.3. Place Value and Face Value of a Digit in a Numeral

1.4. Expanded Form of a Number

1.5. Successor and Predecessor

1.5.1. Successor of a Number

1.5.2. Predecessor of a Number

1.6. Compare and Order Numbers

1.6.1. Compare Numbers With Same Number of Digits

1.6.2. Compare Numbers With Different Number of Digits

2. Roman Numerals (up to 100)

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

2.6. Operations on Roman Numerals

3. Addition

3.1. Addend and Sum

3.2. Add Five-Digit Numbers

3.2.1. Add Two Five-Digit Numbers (Without Carrying)

3.2.2. Add Three or More Five-Digit Numbers (Without Carrying)

3.2.3. Add Two Five-Digit Numbers (With Carrying)

3.2.4. Add Three or More Five-Digit Numbers (With Carrying)

3.3. Add Six-Digit Numbers

3.3.1. Add Two Six-Digit Numbers (Without Carrying)

3.3.2. Add Three or More Six-Digit Numbers (Without Carrying)

3.3.3. Add Two Six-Digit Numbers (With Carrying)

3.3.4. Add Three or More Six-Digit Numbers (With Carrying)

3.4. Find the Missing Digit While Adding Numbers

3.5. Addition - Properties and Facts

3.5.1. Order/Commutative Property of Addition

3.5.2. Grouping/Associative Property of Addition

3.5.3. Addition Property of Zero

3.6. Word Problems on Addition

4. Subtraction

4.1. Minuend, Subtrahend and Difference

4.2. Subtract Five-Digit Numbers

4.2.1. Subtract Five-Digit Numbers (Without Borrowing)

4.2.2. Subtract Five-Digit Numbers (With Borrowing)

4.3. Subtract Six-Digit Numbers

4.3.1. Subtract Six-Digit Numbers (Without Borrowing)

4.3.2. Subtract Six-Digit Numbers (With Borrowing)

4.4. Subtraction - Properties and Facts

4.4.1. Subtraction Property of Zero

4.4.2. Subtraction of One

4.4.3. Subtraction by Itself

4.5. Word Problems on Subtraction

5. Addition and Subtraction

5.1. Add and Subtract 2-Digit and 3-Digit Numbers

5.2. Balance Sentences - Addition and Subtraction (up to 999)

5.3. Write Number Sentence (For the Given Story)

5.4. Word Problems Involving Both Addition and Subtraction

6. Multiplication

6.1. Multiplicand, Multiplier and Product

6.2. Multiplication - Properties and Facts

6.2.1. Order Property of Multiplication

6.2.2. Grouping/Associative Property of Multiplication

6.2.3. Multiplicative Property of One

6.2.4. Multiplicative Property of Zero

6.2.5. Distributive Property of Multiplication over Addition

6.2.6. Identify the Property of Multiplication

6.3. Multiplication by Multiples of 10

6.3.1. Multiplication by 10, 100, and 1000

6.3.2. Multiplication by a Multiple of 10, 100, and 1000

6.3.3. Mixed Problems on Multiplication by Multiples of 10

6.4. Multiplication by 2-Digit Numbers

6.4.1. Multiplication: 3-Digit by 2-Digit

6.4.2. Multiplication: 4-Digit by 2-Digit

6.5. Multiplication by 3-Digit Numbers

6.5.1. Multiplication: 3-Digit by 3-Digit

6.5.2. Multiplication: 4-Digit by 3-Digit

6.6. Word Problems on Multiplication

7. Division

7.1. Divider, Quotient, Dividend, and Remainder

7.2. Divide by 10, 100, 1000 etc

7.3. Divide by Multiples of 10, 100, 1000 etc

7.4. Long Division

7.4.1. Divide a Number by a 1-digit Number (No Remainder)

7.4.2. Divide a Number by a 2-digit Number (No Remainder)

7.4.3. Divide a Number by a 1-digit Number (With Remainder)

7.4.4. Divide a Number by a 2-digit Number (With Remainder)

7.5. Division - Properties and Facts

7.5.1. Division by One

7.5.2. Division by the Number Itself

7.5.3. Division by Zero

7.5.4. Dividing Zero by a Number

7.6. Word Problems on Division

8. Factors and Multiples

8.1. Factors and Multiples of a Number

8.1.1. Factors

8.1.1.1. Finding Factors of a Number

8.1.1.2. HCF (Highest Common Factor)

8.1.2. Multiples

8.1.2.1. Finding Multiples of a Number

8.1.2.2. LCM (Lowest Common Multiple)

8.1.3. Properties of Factors and Multiples

8.2. Types of Numbers

8.2.1. Odd and Even Numbers

8.2.1.1. Even Numbers

8.2.1.2. Odd Numbers

8.2.2. Prime and Composite Numbers

8.2.2.1. Composite Numbers

8.2.2.2. Prime Numbers

8.2.2.3. Properties of Composite and Prime

8.3. Prime Factors of a Number by Factor Tree Method

8.4. Tests of Divisibility

8.4.1. Test Divisibility by 2

8.4.2. Test Divisibility by 3

8.4.3. Test Divisibility by 5

8.4.4. Test Divisibility by 6

8.4.5. Test Divisibility by 9

8.4.6. Test Divisibility by 10

9. Patterns

9.1. Complete the pattern

9.2. Rule for the Pattern

9.3. Find the Missing Term in the Pattern

10. Rounding Numbers

10.1. Rounding Off Numbers

10.1.1. Rounding Off to the Nearest Ten

10.1.2. Rounding Off to the Nearest Hundred

10.1.3. Rounding Off to the Nearest Thousand

10.2. Estimating Sum

10.3. Estimating Difference

10.4. Estimating Products

11. Fractions

11.1. Fraction as a Part of a Whole

11.2. Fractional Numbers and Fractions

11.3. Numerator and Denominator of a Fraction

11.4. Division as Fraction

11.5. Fraction as Division

11.6. Fractions on a Number Line

11.7. Equivalent Fractions

11.8. Comparison of Fractions

11.8.1. Compare and Order Fractions with Same Denominators

11.8.2. Compare and Order Fractions with Same Numerators

11.9. Like and Unlike Fractions

11.10. Unit Fraction

11.11. Proper, Improper and Mixed fractions

11.11.1. Understand the Meaning of Proper, Improper and Mixed Fractions

11.11.2. Convert Improper Fractions to Mixed Fractions

11.11.3. Convert Mixed Fractions to Improper Fractions

11.12. Addition and Subtraction of Fractions

11.12.1. Addition of Like Fractions

11.12.2. Subtraction of Like Fractions

11.13. Word Problems on Fractions

11.13.1. Word Problems on Forming Fractions

11.13.2. Word Problems on Addition of Like Fractions

11.13.3. Word Problems on Subtraction of Like Fractions

12. Decimals

12.1. Conversions

12.1.1. Converting Decimals into Fractions(With Denominators as Power of 10)

12.1.2. Converting Fractions(With Denominators as Power of 10) into Decimals

12.2. Pictorial Representation of a Decimal Number

12.3. Number Names of Decimal Numbers

12.4. Place Value of the Digits of a Decimal Number

12.5. Expanded Form of Decimal Numbers

13. Money

13.1. Introduction to Currency

13.2. Express Money in Figures

13.3. Conversion of Money

13.4. Addition and Subtraction of Money

13.4.1. Addition of Amounts in currencies

13.4.2. Subtraction of Amounts in currencies

13.5. Multiplication and Division of Money

13.5.1. Multiplication of Money by a Whole Number

13.5.2. Division of Money by a Whole Number

13.6. Word Problems on Money

13.6.1. Word Problems on Addition of Money

13.6.2. Word Problems on Subtraction of Money

13.6.3. Word Problems on Multiplication of Money by a Whole Number

13.6.4. Word Problems on Division of Money by a Whole Number

14. Measurement

14.1. Measurement of Length

14.1.1. Conversion of Metric Units of Length

14.1.1.1. Conversion from Higher to Lower Units of Length

14.1.1.2. Conversion from Mixed Units to Lower Units of Length

14.1.1.3. Conversion from Lower to Higher Units of Length

14.1.2. Addition and Subtraction of Lengths

14.1.2.1. Addition of Lengths

14.1.2.1.1. Addition of Lengths in Meters and Centimeters

14.1.2.1.2. Addition of Lengths in Kilometers and Meters

14.1.2.2. Subtraction of Lengths

14.1.2.2.1. Subtraction of Lengths in Meters and Centimeters

14.1.2.2.2. Subtraction of Lengths in Kilometers and Meters

14.1.3. Word Problems on Length

14.1.3.1. Word Problems on Addition of Lengths

14.1.3.2. Word Problems on Subtraction of Lengths

14.2. Measurement of Weight

14.2.1. Conversion of Metric Units of Weight

14.2.1.1. Conversion from Higher to Lower Units of Weight

14.2.1.2. Conversion from Mixed Units to Lower Units of Weight

14.2.1.3. Conversion from Lower to Higher Units of Weight

14.2.2. Addition and Subtraction of Weights

14.2.2.1. Addition of Weights

14.2.2.1.1. Addition of Weights in Grams and Milligrams

14.2.2.1.2. Addition of Weights in Kilograms and Grams

14.2.2.2. Subtraction of Weights

14.2.2.2.1. Subtraction of Weights in Grams and Milligrams

14.2.2.2.2. Subtraction of Weights in Kilograms and Grams

14.2.3. Word Problems on Weights

14.2.3.1. Word Problems on Addition of Weights

14.2.3.2. Word Problems on Subtraction of Weights

14.3. Measurement of Capacity

14.3.1. Conversion of Metric Units of Capacity

14.3.1.1. Conversion from Higher to Lower Units of Capacity

14.3.1.2. Conversion from Mixed Units to Lower Units of Capacity

14.3.1.3. Conversion from Lower to Higher Units of Capacity

14.3.2. Addition and Subtraction of Capacity

14.3.2.1. Addition of Capacity in Liters and Milliliters

14.3.2.2. Subtraction of Capacity in Liters and Milliliters

14.3.3. Word Problems on Capacity

14.3.3.1. Word Problems on Addition of Capacity

14.3.3.2. Word Problems on Subtraction of Capacity

15. Unitary Method

15.1. Word problems Using Unitary Method Involving Multiplication

15.2. Word problems Using Unitary Method Involving Division

15.3. Word problems Using Unitary Method Involving Both Multiplication and Division

16. Geometry

16.1. Understand the Basic Terms in Geometry (Point, Line, Line Segment, Ray, and Plane)

16.2. Measure Line Segments

16.3. Identify and Count the Number of Line Segments

16.4. Types of Lines

16.4.1. Straight and Curved Lines

16.4.2. Horizontal, Vertical, Curved, and Slant Lines

16.4.3. Open and Closed Shapes

16.5. Polygons

16.5.1. Understanding Polygons

16.5.2. Name the Polygon

16.5.3. Introduction to Plane Shapes (Rectangle, Square, Circle, and Triangle)

16.5.4. Count the Vertices and Sides of a Plane Shape

16.5.5. Compare Vertices and Sides of Different Plane Shapes

16.6. Circle

16.6.1. Terms Related to a Circle

16.6.2. Relationship Between Radius and Diameter of a Circle

17. Perimeter of Rectilinear Figures

17.1. Basic Definition of Perimeter

17.2. Perimeter of Triangle

17.3. Perimeter of a Rectangle

17.4. Perimeter of a Square

17.5. Perimeter of a Other Geometric Figures

18. Solid Shapes (3-D shapes)

18.1. Identify Different Solid Shapes (Cuboid, Cube, Cone, Cylinder, Sphere, Prism, and Pyramids)

18.2. Vertices, Edges and Faces of Solid Objects

18.3. Net of a 3-D Shape

18.4. Tangrams

18.5. Tiling Geometrical Shapes

19. Symmetry

19.1. Introduction to Symmetry

19.2. Identifying Mirror Halves

19.3. Symmetry Around Us

19.4. Symmetry in Geometric Figures

19.5. Symmetry in Alphabets

19.6. Symmetry in Numerals

20. Time

20.1. Clock

20.1.1. Basic Facts About Clocks and Time

20.1.2. Measuring Time

20.1.2.1. Reading Time on the Clock (Minute Hand is at 3, 6, or 9)

20.1.2.2. Reading Time on the Clock (Minute hand is at any number)

20.1.2.3. Word Problems on Reading Time

20.1.2.4. Relate Days, Hours, Minutes, and Seconds

20.1.3. 24-Hour Clock Time

20.1.3.1. Understanding 24-Hour Clock Time

20.1.3.2. Conversion from 24-Hour Clock Time to 12-Hour Clock Time

20.1.3.3. Conversion from 12-Hour Clock Time to 24-Hour Clock Time

20.1.4. Use of 'AM' and 'PM'

20.1.5. Addition and Subtraction of Time

20.1.5.1. Addition of Time

20.1.5.2. Subtraction of Time

20.1.5.3. Word Problems on Time

20.2. Calendar

20.2.1. Days of the Week

20.2.2. Months of the Year

20.2.3. Ordinary, Leap, and Century Years

20.2.4. Word Problems on Calendar

21. Data Handling

21.1. Basic Definition of Data

21.2. Pictographs

21.2.1. Introduction to Pictograph

21.2.2. Drawing Pictographs

21.2.3. Interpreting Pictographs

21.3. Bar Graphs

21.3.1. Drawing Bar Graphs

21.3.2. Interpreting Bar Graphs

Grade 4 Singapore School Math Compare and Order Fractions with Same Denominators

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