Grade-5 Mathematics

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Syllabus

Chapter 1: Place Value Concepts
1.1 Place Value Patterns
1.2 Place Value with Whole Numbers
1.3 Patterns and Powers of 10
1.4 Decimals to Thousandths
1.5 Place Value with Decimals
1.6 Compare Decimals
1.7 Round Decimals

Chapter 2: Numerical Expressions
2.1 Number Properties
2.2 Order of Operations
2.3 Write Numerical Expressions
2.4 Evaluate Expressions with Grouping Symbols

Chapter 3: Add and Subtract Decimals
3.1 Estimate Sums and Differences
3.2 Use Models to Add or Subtract Decimals
3.3 Add Decimals
3.4 Subtract Decimals
3.5 Add and Subtract Decimals
3.6 Use Mental Math to Add or Subtract Decimals
3.7 Problem Solving: Money

Chapter 4: Multiply Whole Numbers
4.1 Multiplication Patterns
4.2 Estimate Products
4.3 Multiply by One-Digit Numbers
4.4 Multiply by Two-Digit Numbers
4.5 Multiply by Multi-Digit Whole Numbers

Chapter 5: Multiply Decimals
5.1 Multiplication Patterns with Decimals
5.2 Estimate Products of Decimals and Whole Numbers
5.3 Use Models to Multiply Decimals and Whole Numbers
5.4 Multiply Decimals and Whole Numbers
5.5 Use Models to Multiply Decimals
5.6 Use Partial Products to Multiply Decimals
5.7 Use Strategies to Multiply Decimals
5.8 Multiply Decimals
5.9 Problem Solving: Multiply with Money

Chapter 6: Divide Whole Numbers
6.1 Relate Multiplication and Division
6.2 Division Patterns
6.3 Estimate Quotients
6.4 Divide by One-Digit Numbers
6.5 Use Partial Quotients to Divide by Two-Digit Numbers
6.6 Use Partial Quotients with a Remainder
6.7 Divide Three-Digit Numbers by Two-Digit Numbers
6.8 Divide Four-Digit Numbers by Two-Digit Numbers
6.9 Problem Solving: Division

Chapter 7: Divide Decimals
7.1 Division Patterns with Decimals
7.2 Estimate Decimal Quotients
7.3 Use Models to Divide Decimals by Whole Numbers
7.4 Divide Decimals by One-Digit Numbers
7.5 Divide Decimals by Two-Digit Numbers
7.6 Use Models to Divide Decimals
7.7 Divide Decimals
7.8 Insert Zeros in the Dividend
7.9 Problem Solving: Decimal Operations

Chapter 8: Add and Subtract Fractions
8.1 Simplest Form
8.2 Estimate Sums and Differences of Fractions
8.3 Find Common Denominators
8.4 Add Fractions with Unlike Denominators
8.5 Subtract Fractions with Unlike Denominators
8.6 Add Mixed Numbers
8.7 Subtract Mixed Numbers
8.8 Problem Solving: Fractions

Chapter 9: Multiply Fractions
9.1 Multiply Whole Numbers by Fractions
9.2 Use Models to Multiply Fractions by Whole Numbers
9.3 Multiply Fractions and Whole Numbers
9.4 Use Models to Multiply Fractions
9.5 Multiply Fractions
9.6 Find Areas of Rectangles
9.7 Multiply Mixed Numbers
9.8 Compare Factors and Products

Chapter 10: Divide Fractions
10.1 Interpret Fractions as Division
10.2 Mixed Numbers as Quotients
10.3 Divide Whole Numbers by Unit Fractions
10.4 Divide Unit Fractions by Whole Numbers
10.5 Problem Solving: Fraction Division

Chapter 11: Convert and Display Units of Measure
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 Problem Solving: Measurement

Chapter 12: Patterns in the Coordinate Plane
12.1 Plot Points in a Coordinate Plane
12.2 Relate Points in a Coordinate Plane
12.3 Draw Polygons in a Coordinate Plane
12.4 Graph Data
12.5 Make and Interpret Line Graphs
12.6 Numerical Patterns
12.7 Graph and Analyze Relationships

Chapter 13: Understand Volume
13.1 Understand the Concept of Volume
13.2 Find Volumes of Right Rectangular Prisms
13.3 Apply the Volume Formula
13.4 Find Unknown Dimensions
13.5 Find Volumes of Composite Figures

Chapter 14: Classify Two-Dimensional Shapes
14.1 Classify Triangles
14.2 Classify Quadrilaterals
14.3 Relate Quadrilaterals