# Mathematics – Grade 5

Chapter 1. Basic Numbers

Chapter 2. Basic Number Operations Review

Chapter 3. Fractions

Chapter 4. Operations with Fractions

Chapter 5. Number Comparison

Chapter 6. Percentages

Chapter 7. Math in Everyday Life

Chapter 8. Measurements and Conversions

Chapter 9. Geometry – Angles

Chapter 11. Geometry – Working with Shapes and Solids

Chapter 12. Algebra – Variables, Expressions and Equations

Chapter 13. Algebraic Operations

Chapter 14. Algebra – The Coordinate Plane and First Quadrant

Chapter 15. Graphs – Collecting and Displaying Data

Chapter 16. Probability

**1. Basic Numbers**

1.1 Place Values and Expanded Form

1.2 Whole Numbers

1.3 Decimal Numbers

1.4 Prime Numbers

1.5 Composite Numbers

1.6 The Number Line

1.7 Positive and Negative Integers

1.8 Real Numbers

1.9 Absolute Value

1.10 Rounding and Estimating

**2. Basic Number Operations Review**

2.1 Addition

2.1.1 Addition with 3-Digit Numbers

2.1.2 Addition with 4-Digit Numbers

2.1.3 Addition with 5-Digit Numbers

2.1.4 Addition with 6-Digit Numbers

2.1.5 Addition with 7-Digit Numbers

2.1.6 Addition with Equations

2.1.7 Adding Three Sets of Numbers

2.1.8 Addition with Decimals

2.1.9 Addition of Whole Numbers and Decimals

2.1.10 Addition with Negative Numbers

2.2 Subtraction

2.2.1 Subtraction with 3-Digit Numbers

2.2.2 Subtraction with 4-Digit Numbers

2.2.3 Subtraction with 5-Digit Numbers

2.2.4 Subtraction with 6-Digit Numbers

2.2.5 Subtraction with Equations

2.2.6 Subtraction with Decimals

2.2.7 Subtraction Involving Whole Numbers and Decimals

2.2.8 Subtraction with Negative Numbers

2.3 Multiplication

2.3.1 Multiplying a 2-Digit Number by a 1-Digit Number

2.3.2 Multiplying a 3-Digit Number by a 1-Digit Number

2.3.3 Multiplying a 4-Digit Number by a 1-Digit Number

2.3.4 Multiplying a 2-Digit Number by a 2 Digit Number

2.3.5 Multiplying a 3-Digit Number by a 2-Digit Number

2.3.6 Multiplying a 4-Digit Number by a 2-Digit Number

2.3.7 Multiplying Whole Numbers and Decimal Numbers

2.3.8 Multiplying Two Decimal Numbers

2.3.9 Multiplication with Equations

2.4 Division

2.4.1 Understanding Division and Division Terms

2.4.2 Division without a Remainder

2.4.3 Division with a Remainder

2.4.4 Dividing a 3-Digit Number by a 2-Digit Number

2.4.5 Dividing a 4-Digit Number by a 2-Digit Number

2.4.6 Dividing a 4-Digit Number by a 3-Digit Number

2.4.7 Dividing a 5-Digit Number by a 2-Digit Number

2.4.8 Dividing a 5-Digit Number by a 3-Digit Number

2.4.9 Division with Decimal Numbers

2.4.10 Dividing Two Decimal Numbers

**3. Fractions**

3.1 Understanding Fractions

3.2 Equivalent Fractions

3.3 The Greatest Common Factor

3.4 The Least Common Multiple

3.5 The Least Common Denominator

3.6 Mixed Fractions

3.7 Converting Mixed Fractions to Improper Fractions

3.8 Converting Improper Fractions to Mixed Fractions

**4. Operations with Fractions**

4.1 Reducing Fractions

4.2 Adding Fractions

4.3 Adding Fractions and Whole Numbers

4.4 Adding Mixed Fractions

4.5 Multiplying Fractions

4.6 Multiplying Fractions and Whole Numbers

4.7 Subtracting Fractions

4.8 Subtracting Fractions and Whole Numbers

4.9 Subtracting Mixed Fractions

4.10 Dividing Fractions

4.11 Dividing Fractions and Whole Numbers

4.12 Converting Fractions into Decimal Numbers

4.13 Converting Decimal Numbers into Fractions

**5. Number Comparison**

5.1 The Number Line

5.2 Comparing Whole Numbers

5.3 Ordering Whole Numbers

5.4 Comparing Decimal Numbers

5.5 Ordering Decimal Numbers

5.6 Comparing Fractions

5.7 Ordering Fractions

5.8 Comparing Mixed Fractions

5.9 Comparing Whole Numbers and Fractions

**6. Percentages**

6.1 Introduction to Percentages

6.2 Converting a Percent into a Fraction

6.3 Converting a Percent into a Decimal Number

6.4 Converting a Decimal Number into a Percent

6.5 Converting a Fraction into a Percent

6.6 Finding the Percentage of a Number

6.7 Determining the Percentage When Given Two Numbers

**7. Math in Everyday Life**

7.1 Salary Calculation

7.2 Number Games

7.3 Money Games

7.4 Family Budgeting

7.5 Age Comparisons

7.6 Calculating Commission

7.7 Calculating Sale Price

7.8 Interest Rates

**8. Measurements and Conversions**

8.1 Time

8.2 Systems of Measurement

8.3 Mass and Weight

8.4 Length

8.5 Temperature

8.6 Volume

8.7 Rate, Time and Distance Traveled

**9. Geometry – Angles**

9.1 Angles

9.2 Measuring Angles

9.3 Types of Angles

**10. Geometry – Basic Shapes and Solids**

10.1 Triangles

10.2 Quadrilaterals

10.3 Rectangles and Rhombus

10.4 Polygons

10.5 Circles

10.6 Cubes

10.7 Pyramids

10.8 Cylinders

10.9 Rectangular Prisms

**11. Geometry – Working with Shapes and Solids**

11.1 Perimeter and Area of Triangles

11.2 Perimeter and Area of Squares and Rectangles

11.3 Perimeter and Area of Parallelograms and Trapezoids

11.4 Circumference and Area of Circles

11.5 Surface Area and Volume of Cubes

11.6 Surface Area and Volume of Rectangular Prisms

**12. Algebra – Variables, Expressions and Equations**

12.1 Variables

12.2 Expressions and Equations

12.3 Writing Expressions and Equations

12.4 Word Problems

**13. Algebraic Operations**

13.1 Like and Unlike Terms

13.2 The Addition Operation with Variables

13.3 The Subtraction Operation with Variables

13.4 The Multiplication Operation with Variables

13.5 The Division Operation with Variables

13.6 Canceling Variables

13.7 Evaluating Expressions with Variables

**14. Algebra – The Coordinate Plane and First Quadrant**

14.1 Introduction to the Coordinate Plane

14.2 Working with First Quadrant

14.3 Connecting Points in the First Quadrant

**15. Graphs – Collecting and Displaying Data**

15.1 Line Graphs

15.2 Bar Graphs

15.3 Double Bar Graphs

15.4 Circle (Pie) Graphs

15.5 Surveys and Experiments

**16. Probability**

16.1 Introduction to Probability

16.2 Making Predictions with Probability