Grade-4 Mathematics

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Syllabus

Chapter 1: Place Value Concepts

1.1 Understand Place Value
1.2 Read and Write Multi-Digit Numbers
1.3 Compare Multi-Digit Numbers
1.4 Round Multi-Digit Numbers

Chapter 2: Add and Subtract Multi-Digit Numbers
2.1 Estimate Sums and Differences
2.2 Add Multi-Digit Numbers
2.3 Subtract Multi-Digit Numbers
2.4 Use Strategies to Add and Subtract
2.5 Problem Solving: Addition and Subtraction

Chapter 3: Multiply by One-Digit Numbers
3.1 Understand Multiplicative Comparisons
3.2 Multiply Tens, Hundreds, and Thousands
3.3 Estimate Products by Rounding
3.4 Use the Distributive Property to Multiply
3.5 Use Expanded Form to Multiply
3.6 Use Partial Products to Multiply
3.7 Multiply Two-Digit Numbers by One-Digit Numbers
3.8 Multiply Three- and Four-Digit Numbers by One-Digit Numbers
3.9 Use Properties to Multiply
3.10 Problem Solving: Multiplication

Chapter 4: Multiply by Two-Digit Numbers
4.1 Multiply by Tens
4.2 Estimate Products
4.3 Use Area Models to Multiply Two-Digit Numbers
4.4 Use the Distributive Property to Multiply Two-Digit Numbers
4.5 Use Partial Products to Multiply Two-Digit Numbers
4.6 Multiply Two-Digit Numbers
4.7 Practice Multiplication Strategies
4.8 Problem Solving: Multiplication with Two-Digit Numbers

Chapter 5: Divide Multi-Digit Numbers by One-Digit Numbers
5.1 Divide Tens, Hundreds, and Thousands
5.2 Estimate Quotients
5.3 Understand Division and Remainders
5.4 Use Partial Quotients
5.5 Use Partial Quotients with a Remainder
5.6 Divide Two-Digit Numbers by One-Digit Numbers
5.7 Divide Multi-Digit Numbers by One-Digit Numbers
5.8 Divide by One-Digit Numbers
5.9 Problem Solving: Division

Chapter 6: Factors, Multiples, and Patterns
6.1 Understand Factors
6.2 Factors and Divisibility
6.3 Relate Factors and Multiples
6.4 Identify Prime and Composite Numbers
6.5 Number Patterns
6.6 Shape Patterns

Chapter 7: Understand Fraction Equivalence and Comparison
7.1 Model Equivalent Fractions
7.2 Generate Equivalent Fractions by Multiplying
7.3 Generate Equivalent Fractions by Dividing
7.4 Compare Fractions Using Benchmarks
7.5 Compare Fractions

Chapter 8: Add and Subtract Fractions
8.1 Use Models to Add Fractions
8.2 Decompose Fractions
8.3 Add Fractions with Like Denominator
8.4 Use Models to Subtract Fractions
8.5 Subtract Fractions with Like Denominators
8.6 Model Fractions and Mixed Numbers
8.7 Add Mixed Numbers
8.8 Subtract Mixed Numbers
8.9 Problem Solving: Fractions

Chapter 9: Multiply Whole Numbers and Fractions
9.1 Understand Multiples of Unit Fractions
9.2 Understand Multiples of Fractions
9.3 Multiply Whole Numbers and Fractions
9.4 Multiply Whole Numbers and Mixed Numbers
9.5 Problem Solving: Fraction Operations

Chapter 10: Relate Fractions and Decimals
10.1 Understand Tenths
10.2 Understand Hundredths
10.3 Fractions and Decimals
10.4 Compare Decimals
10.5 Add Decimal Fractions and Decimals
10.6 Fractions, Decimals, and Money
10.7 Operations with Money

Chapter 11: Understand Measurement Equivalence
11.1 Length in Metric Units
11.2 Mass and Capacity in Metric Units
11.3 Length in Customary Units
11.4 Weight in Customary Units
11.5 Capacity in Customary Units
11.6 Make and Interpret Line Plots
11.7 Units of Time
11.8 Problem Solving: Elapsed Time
11.9 Mixed Measures

Chapter 12: Use Perimeter and Area Formulas
12.1 Perimeter Formula for a Rectangle
12.2 Area Formula for a Rectangle
12.3 Find Unknown Measures
12.4 Problem Solving: Perimeter and Area

Chapter 13: Identify and Draw Lines and Angles
13.1 Points, Lines and Rays
13.2 Identify and Draw Angles
13.3 Identify Parallel and Perpendicular Lines
13.4 Understand Degrees
13.5 Find Angle Measures
13.6 Measure and Draw Angles
13.7 Add Angle Measures
13.8 Find Unknown Angle Measures

Chapter 14: Identify Symmetry and Two-Dimensional Shapes
14.1 Line Symmetry
14.2 Draw Symmetric Shapes
14.3 Classify Triangles by Sides
14.4 Classify Triangles by Angles
14.5 Classify Quadrilaterals

Course Content