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Course Contents

Course Name: 4th Grade Math

1. Number Sense Review
1.1 Place Values and Expanded Form
1.2 Defining and Grouping Whole Numbers
1.3 Reading and Writing Whole Numbers
1.4 Number Combinations
1.5 Comparing and Ordering Whole Numbers
1.6 Even and Odd Numbers
1.7 Rounding Whole Numbers

2. Addition
2.1 Properties of Addition
2.2 Adding a 3-digit Number and a 3-digit Number
2.3 Adding a 4-digit Number and a 3-digit Number
2.4 Adding a 4-digit Number and a 4-digit Number
2.5 Adding a 5-digit Number and a 4-digit Number
2.6 Adding a 5-digit Number and a 5-digit Number
2.7 Adding a 6-digit Number and a 5-digit Number
2.8 Adding a 6-digit Number and a 6-digit Number
2.9 Adding a 7-digit Number and a 6-digit Number
2.10 Estimating a Sum by Rounding
2.11 Adding 3 Number Sets

3. Subtraction
3.1 Subtraction in Relation to Addition
3.2 Properties of Subtraction
3.3 Subtraction Involving Borrowed Numbers
3.4 Subtracting a 2-digit Number from a 4-digit Number
3.5 Subtracting a 3-digit Number from a 3-digit Number
3.6 Subtracting a 3-digit Number from a 4-digit Number
3.7 Subtracting a 4-digit Number from a 4-digit Number
3.8 Subtracting a 4-digit Number from a 5-digit Number
3.9 Subtracting a 5-digit Number from a 5-digit Number
3.10 Estimating Subtraction with Large Numbers

4. Multiplication
4.1 Multiplication in Relation to Addition
4.2 Properties of Multiplication
4.3 Multiplication Table
4.4 Multiplication Tricks
4.5 Multiplying a 3-digit Number and a 1-digit Number
4.6 Multiplying a 2-digit Number and a 2-digit Number
4.7 Multiplying a 3-digit Number and a 2-digit Number
4.8 Multiplying a 4-digit Number and a 2-digit Number
4.9 Multiplying a 5-digit Number and a 2-digit Number
4.10 Multiplying a 3-digit Number and a 3-digit Number
4.11 Multiplication with Three Numbers

5. Division
5.1 Division Facts and Terms
5.2 Division in Relation to Subtraction
5.3 Division in Relation to Multiplication
5.4 Basic Properties of Division
5.5 Dividing Using the Division Bracket
5.6 Division with a Remainder
5.7 Dividing a 2-digit Number by a 1-digit Number
5.8 Dividing a 2-digit Number by a 2-digit Number
5.9 Dividing a 3-digit Number by a 1-digit Number
5.10 Dividing a 3-digit Number by a 2-digit Number
5.11 Dividing a 4-digit Number by a 1-digit Number
5.12 Dividing a 4-digit Number by a 2-digit Number

6. Decimal Numbers
6.1 Decimal Numbers Review
6.2 Displaying Decimal Numbers
6.3 Adding Decimal Numbers
6.4 Subtracting Decimal Numbers
6.5 Multiplying Decimal Numbers
6.6 Counting Money with Decimals
6.7 Rounding Decimal Numbers
6.8 Word Problems with Decimals

7. Fractions and Fractions Operations
7.1 Fractions Review
7.2 Equivalent Fractions
7.3 The Greatest Common Factor
7.4 The Least Common Multiple
7.5 The Least Common Denominator
7.6 Simplifying Fractions
7.7 Adding Fractions with Like Denominators
7.8 Subtracting Fractions with Like Denominators
7.9 Adding Fractions with Unlike Denominators
7.10 Subtracting Fractions with Unlike Denominators
7.11 Multiplying Fractions

8. Number Conversions and Mixed Fractions Operations
8.1 Types of Fractions
8.2 Converting Whole Numbers to Improper Fractions
8.3 Converting Decimal Numbers into Fractions
8.4 Converting Fractions into Decimal Numbers
8.5 Converting Mixed Fractions to Improper Fractions
8.6 Converting Improper Fractions to Mixed Fractions
8.7 Adding Mixed Fractions
8.8 Subtracting Mixed Fractions

9. The Number Line
9.1 The Number Line
9.2 Plotting Numbers on the Number Line
9.3 Comparing Fractions
9.4 Comparing Decimal Numbers
9.5 Comparing Fractions and Decimal Numbers

10. Algebra
10.1 Number Patterns using Addition and Subtraction
10.2 Number Patterns using Multiplication and Division
10.3 Patterns with Shapes and Symbols
10.4 Variables, Expressions and Equations
10.5 Writing Expressions and Equations
10.6 Inequalities using Variables
10.7 Formulas
10.8 Order of Operations
10.9 Evaluating Expressions
10.10 Equations with One Variable

11. Geometry
11.1 Points, Lines and Line Segments
11.2 Parallel, Intersecting and Perpendicular Lines
11.3 Angles
11.4 Measuring Angles
11.5 Triangles
11.6 Quadrilaterals
11.7 Polygons
11.8 Line of Symmetry
11.9 Solid Figures

12. Time and Money
12.1 Review of Time
12.2 Telling Time
12.3 Converting Digital and Analog Time
12.4 Converting Units of Time
12.5 Adding Different Units of Time
12.6 Finding Elapsed Time
12.7 Adding Elapsed Time
12.8 Counting Money
12.9 Converting Money into Decimal Form
12.10 Comparing Money
12.11 Making Change

13. Measurements
13.1 Systems of Measurement
13.2 Length
13.3 Weight
13.4 Temperature
13.5 Rate and Distance
13.6 Perimeter
13.7 Area
13.8 Area of a Square
13.9 Area of a Rectangle
13.10 Area of a Triangle
13.11 Volume and Liquid Volume
13.12 Volume of a Cube
13.13 Volume of a Rectangular Box

14. Basic Probability
14.1 Introduction to Probability
14.2 Probability Based on a Given Event or Data Set

15. Displaying Data Using Graphs
15.1 Introduction to Graphs
15.2 Circle Graphs
15.3 Displaying Data Using Circle Graphs
15.4 Interpreting Circle Graphs
15.5 Bar Graphs
15.6 Displaying Data Using Bar Graphs
15.7 Interpreting Bar Graphs
15.8 Line Graphs
15.9 Displaying Data Using Line Graphs
15.10 Interpreting Line Graphs

16. Word Problems
16.1 Introduction to Word Problems
16.2 Age Word Problems
16.3 Wage Calculation Word Problems
16.4 Family Budgeting Word Problems
16.5 Word Problems involving Mathematical Statements