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Course Contents

Course Name: 5th Grade Math (New)

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