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Year 5
Decimals
Operations on Decimals
Addition and Subtraction of Decimals
Word problems on Addition and Subtraction of Decimals

Year 5

1. Large Numbers (7-Digit to 9-Digits)

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

1.1.4. Relation Between Different Periods

1.1.5. Numbers in Expanded Form

1.2. Successor and Predecessor

1.2.1. Successor of a Number

1.2.2. Predecessor of a Number

1.3. n Digit Numbers

1.4. Place of a Digit

1.5. Compare Large Numbers

1.6. Operations on Large Numbers

1.6.1. Addition of Large Numbers

1.6.2. Subtraction of Large Numbers

1.6.3. Multiplication of Large numbers

1.6.4. Division of Large Numbers

1.6.5. Word Problem on Operations on Large Numbers

1.6.5.1. Word Problem on Addition of Large Numbers

1.6.5.2. Word Problem on Subtraction of Large Numbers

1.6.5.3. Word Problem on Multiplication of Large Numbers

1.6.5.4. Word Problem on Division of Large Numbers

2. Roman Numerals (up to 1000)

2.1. Introduction to Roman Numerals

2.2. Write Roman Numerals for Hindu-Arabic Numerals

2.3. Write Hindu-Arabic Numerals for Roman Numerals

2.4. Meaningless Roman Numerals

2.5. Compare Roman Numerals

2.6. Operations on Roman Numerals

2.7. Word Problems on Basic Arithmetic Using 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

4.1.1. Finding Factors of a Number

4.2. Finding Multiples of a Number

4.2.1. Word Problems on Factors and Multiples

4.2.2. Properties of Factors and Multiples

4.2.3. Types of Numbers

4.2.3.1. Odd and Even Numbers

4.2.3.1.1. Even numbers

4.2.3.1.2. Odd numbers

4.2.3.1.3. Properties of Odd and Even numbers

4.2.3.2. Prime and Composite Numbers

4.2.3.2.1. Definition

4.2.3.2.2. Composite Numbers

4.2.3.2.3. Prime Numbers

4.2.3.2.4. Properties of Composite and Prime

4.2.4. Tests of Divisibility

4.2.4.1. Test Divisibility by 2

4.2.4.2. Test Divisibility by 3

4.2.4.3. Test Divisibility by 4

4.2.4.4. Test Divisibility by 5

4.2.4.5. Test Divisibility by 6

4.2.4.6. Test Divisibility by 7

4.2.4.7. Test Divisibility by 8

4.2.4.8. Test Divisibility by 9

4.2.4.9. Test Divisibility by 10

4.2.4.10. Test Divisibility by 11

4.2.5. Prime Factors of a Number

4.2.5.1. By Hit and Trial Method

4.2.5.2. By Factor Tree Method

4.2.5.3. By Prime Factorization

4.2.6. HCF and LCM

4.2.6.1. HCF (Highest Common Factor)

4.2.6.2. LCM (Lowest Common Multiple)

4.2.6.3. Properties of LCM and HCF

4.2.6.4. Word Problems on HCF and LCM

5. Fractions

5.1. Like and Unlike Fractions

5.2. Unit Fraction

5.3. Proper, Improper and Mixed Fractions

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

5.3.2. Convert Improper Fractions to Mixed Fractions

5.3.3. Convert Mixed Fractions to Improper Fractions

5.4. Equivalent Fractions

5.5. Simplest Form of a Fraction

5.6. Compare Fractions

5.6.1. Compare Fractions with Like Denominators

5.6.2. Compare Fractions with Like Numerators

5.6.3. Compare Fractions with Unlike Denominators and Unlike Numerators

5.7. Addition and Subtraction of Fractions

5.7.1. Addition of Fractions

5.7.1.1. Addition of Like Fractions

5.7.1.2. Addition of Unlike Fractions

5.7.1.3. Addition of Mixed Fractions

5.7.2. Subtraction of Fractions

5.7.2.1. Subtraction of Like Fractions

5.7.2.2. Subtraction of Unlike Fractions

5.7.2.3. Subtraction of Mixed Fractions

5.7.3. Simplify Expressions Involving Addition and Subtraction

5.8. Multiplication and Division of Fractions

5.8.1. Multiplication of Fractions

5.8.1.1. Multiplication of a Fraction by a Whole Number

5.8.1.2. Multiplication of a Fraction by a Fraction

5.8.1.3. Use of 'OF'

5.8.2. Division of Fractions

5.8.2.1. Multiplicative Inverse or Reciprocal of a Fraction

5.8.2.2. Division of a Fraction by a Fraction

5.8.2.3. Division of a Fraction by a Whole Number

5.8.2.4. Division of a Whole Number by a Fraction

5.9. Word Problems on Fractions

5.9.1. Word Problems on Forming Fractions

5.9.2. Word Problems on Addition of Fractions

5.9.3. Word problems on Subtraction of Fractions

5.9.4. Word Problems on Addition and Subtraction of Fractions

5.9.5. Word Problems on Multiplication of a Fraction

5.9.6. Word Problems on Division of a Fraction

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

6.8.1. Convert Decimals to Fractions

6.8.1.1. Convert Decimals to Proper Fractions

6.8.1.2. Convert Decimals to Improper Fractions

6.8.1.3. Convert Decimals to Mixed Fractions

6.8.2. Convert Fractions to Decimals

6.8.2.1. Convert Fractions with Denominators as Powers of 10 to Decimals

6.8.2.2. Convert Any Fractions to Decimals

6.9. Operations on Decimals

6.9.1. Addition and Subtraction of Decimals

6.9.1.1. Addition of Decimals

6.9.1.2. Subtraction of Decimals

6.9.1.3. Mixed Operations on Decimals: Addition and Subtraction

6.9.1.4. Word problems on Addition and Subtraction of Decimals

6.10. Multiplication and Division of Decimals

6.10.1. Multiplication of Decimals

6.10.1.1. Multiplying a Decimal by 10, 100, 1000 etc

6.10.1.2. Multiplying a Decimal by a Whole Number

6.10.1.3. Multiplication of Two/Three Decimals

6.10.1.4. Word Problems on Multiplication of Decimals

6.10.2. Division of Decimals

6.10.2.1. Division of a Decimal by 10, 100, 1000 etc

6.10.2.2. Division of a Decimal by a Multiple of 10, 100, 1000 etc

6.10.2.3. Division of a Decimal by a Whole Number

6.10.2.4. Division of a Decimal by a Decimal

6.10.2.5. Division of a Whole Number by a Decimal

6.10.2.6. Word problems on Division of Decimals

6.10.2.7. Word problems on Mixed Operations on Decimals

7. Rounding Numbers

7.1. Rounding Off Numbers

7.1.1. Rounding Off to the Nearest Ten

7.1.2. Rounding Off to the Nearest Hundred

7.1.3. Rounding Off to the Nearest Thousand

7.1.4. Rounding off to the Nearest Ten Thousand

7.1.5. Rounding Off to the Nearest Hundred Thousand

7.1.6. Rounding Off to the Nearest Million

7.1.7. Rounding Off to the Nearest Ten Million

7.2. Rounding Off the Decimals

7.2.1. Rounding Off to the Nearest One

7.2.2. Rounding Off to the Nearest Tenth

7.2.3. Rounding Off to the Nearest Hundredth

7.2.4. Rounding Off to the Nearest Thousandth

8. Measurement

8.1. Measurement of Length

8.1.1. Conversion of Metric Units of Length

8.1.1.1. Conversion from Higher to Lower Units of Length

8.1.1.2. Conversion from Lower to Higher Units of Length

8.1.2. Addition and Subtraction of Lengths

8.1.2.1. Addition of Lengths

8.1.2.1.1. Addition of Lengths Given in Meters and Centimeters

8.1.2.1.2. Addition of Lengths Given in Kilometers and Meters

8.1.2.2. Subtraction of Lengths

8.1.2.2.1. Subtraction of Lengths Given in Meters and Centimeters

8.1.2.2.2. Subtraction of Lengths Given in Kilometers and Meters

8.1.3. Multiplication and Division of Lengths Measure

8.1.3.1. Multiplication of Lengths

8.1.3.2. Division of Lengths

8.1.4. Word Problems on Length

8.1.4.1. Word Problems on Addition of Lengths

8.1.4.2. Word Problems on Subtraction of Lengths

8.1.4.3. Word Problems on Multiplication of Lengths

8.1.4.4. Word Problems on Division of Lengths

8.2. Measurement of Weight

8.2.1. Conversion of Metric Units of Weight

8.2.1.1. Conversion from Higher to Lower Units of Weight

8.2.1.2. Conversion from Lower to Higher Units of Weight

8.2.2. Addition and Subtraction of Weights

8.2.2.1. Addition of Weights

8.2.2.1.1. Addition of Weights in Grams and Milligrams

8.2.2.1.2. Addition of Weights in Kilograms and Grams

8.2.2.2. Subtraction of Weights

8.2.2.2.1. Subtraction of Weights in Grams and Milligrams

8.2.2.2.2. Subtraction of Weights in Kilograms and Grams

8.2.3. Multiplication and Division of Weights

8.2.3.1. Multiplication of Weights

8.2.3.2. Division of Weights

8.2.4. Word Problems on Weight

8.2.4.1. Word Problems on Addition of Weights

8.2.4.2. Word Problems on Subtraction of Weights

8.2.4.3. Word Problems on Multiplication of Weight

8.2.4.4. Word Problems on Division of Weight

8.2.4.5. Word Problems on Weighing Balance

8.3. Measurement of Capacity

8.3.1. Conversion of Metric Units of Capacity

8.3.1.1. Conversion from Higher to Lower Units of Capacity

8.3.1.2. Conversion from Lower to Higher Units of Capacity

8.3.2. Addition and Subtraction of Capacity

8.3.2.1. Addition of Capacity in Liters and Milliliters

8.3.2.2. Subtraction of Capacity in Liters and Milliliters

8.3.3. Multiplication and Division of Capacity

8.3.3.1. Multiplication of Capacity

8.3.3.2. Division of Capacity

8.3.4. Word Problems on Capacity

8.3.4.1. Word Problems on Addition of Capacity

8.3.4.2. Word Problems on Subtraction of Capacity

8.3.4.3. Word Problems on Multiplication of Capacity

8.3.4.4. Word Problems on Division of Capacity

9. Average

10. Percentage

10.1. Convert a Fraction into Percentage

10.2. Convert a Percentage into Fraction

10.3. Convert Decimals to Fractions

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

11.1.1. Understanding 24-Hour Clock Time

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

11.1.3. Conversion from 12-Hour Clock Time to 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

11.4.1. Addition of Time

11.4.2. Subtraction of Time

11.4.3. Word Problems on Time

12. Money

12.4. Word problems on Money

12.4.1. Word Problems on Addition of Money

12.4.3. Word Problems on Addition and Subtraction of Money

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

12.4.6. Word Problems on Money Involving a Mixed Operations on Money

13. Geometry

13.1. Understand the Basic Terms in Geometry (Point, Line, line segment, ray, and Plane)

13.2. Angles

13.2.1. Introduction to Angles

13.2.2. Interior And Exterior Of An Angle

13.2.3. Finding the Number of Angles in the Given Figure

13.2.4. Types of an Angle

13.2.5. Measuring an Angle by a Protractor

13.2.6. Complementary and Supplementary Angles

13.3. Types of Lines

13.3.1. Parallel Lines

13.4. Intersecting Lines

13.4.1. Identifying the Type of Line

13.4.2. Set Squares

13.4.3. Collinear and Non-Collinear Points

13.4.4. Triangles

13.4.4.1. Introduction to Triangles

13.4.4.2. Various Types of Triangles by Considering the Lengths of their Sides

13.4.4.3. Various Types of Triangles by Considering their Angles

13.4.4.4. The Possibility of Forming a Triangle with Sides of Given Lengths

13.4.4.5. Angle Sum Property of a Triangle

13.4.5. Circle

13.4.5.1. Terms Related to a Circle

13.4.5.2. Relationship Between Radius and Diameter of a Circle

13.4.5.3. Interior and Exterior of a Circle

13.4.5.4. Concentric Circles

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

14.6. Circumference of a Circle

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

16.1.1. Introduction to Pictograph

16.1.2. Drawing Pictographs

16.1.3. Interpreting Pictographs

16.2. Bar Graphs

16.2.1. Drawing Bar Graphs

16.2.2. Interpreting Bar Graphs

Year 5 New Zealand School Math Word problems on Addition and Subtraction of Decimals

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