Illustrative Mathematics Grade 5 is a comprehensive fifth-grade math curriculum developed by Illustrative Mathematics that builds deep conceptual understanding through rigorous, problem-based learning. The course covers key topics including finding volume, fractions as quotients and fraction multiplication, multiplying and dividing fractions, multi-digit multiplication and division, place value patterns and decimal operations, and plotting shapes on the coordinate plane. Designed to meet Common Core State Standards, it guides fifth graders through interconnected mathematical ideas using collaborative tasks and real-world problem solving.

Illustrative Mathematics, Grade 5 textbook table of contents

Chapter 1: Finding Volume

Lesson 1: Introduction to Volume and MeasurementLearn Practice
Lesson 2: Calculate Volume Using LayersLearn Practice
Lesson 3: Side Lengths and Volume ExpressionsLearn Practice
Lesson 4: Cubic Units of MeasureLearn Practice
Lesson 5: Composite Figures: Volume of Combined PrismsLearn Practice
Lesson 6: Apply Volume KnowledgeLearn Practice

Chapter 2: Fractions as Quotients and Fraction Multiplication

Lesson 1: Sharing Situations and Division as FractionsLearn Practice
Lesson 2: Interpret and Solve Division SituationsLearn Practice
Lesson 3: Relate Division and FractionsLearn Practice
Lesson 4: Relate Division and MultiplicationLearn Practice
Lesson 5: Divide to Multiply FractionsLearn Practice
Lesson 6: Area with Fractional Side Lengths (< 1)Learn Practice
Lesson 7: Fractional Side Lengths Greater Than 1Learn Practice
Lesson 8: Decompose Area and Apply PropertiesLearn Practice
Lesson 9: Area SituationsLearn Practice
Lesson 10: Multiply More FractionsLearn Practice

Chapter 3: Multiplying and Dividing Fractions

Lesson 1: Represent Unit Fraction MultiplicationLearn Practice
Lesson 2: Multiply Unit FractionsLearn Practice
Lesson 3: Multiply Unit and Non-unit FractionsLearn Practice
Lesson 4: Generalize Fraction MultiplicationLearn Practice
Lesson 5: Apply Fraction MultiplicationLearn Practice
Lesson 6: My Own Flag (Optional)Learn Practice
Lesson 7: Concepts of Division (Optional)Learn Practice
Lesson 8: Divide Unit Fractions by Whole NumbersLearn Practice
Lesson 9: Divide Whole Numbers by Unit FractionsLearn Practice
Lesson 10: Fraction Division SituationsLearn Practice
Lesson 11: Reason About QuotientsLearn Practice
Lesson 12: Represent Multiplication and Division SituationsLearn Practice
Lesson 13: Fraction GamesLearn Practice

Chapter 4: Wrapping Up Multiplication and Division with Multi-Digit Numbers

Lesson 1: Estimate and Find ProductsLearn Practice
Lesson 2: Partial Products: Diagrams and AlgorithmsLearn Practice
Lesson 3: Standard Algorithm: Introduction and PracticeLearn Practice
Lesson 4: Standard Algorithm: Multi-digit Numbers with ComposingLearn Practice
Lesson 5: Build Multiplication FluencyLearn Practice
Lesson 6: The BirdsLearn Practice
Lesson 7: World's Record Folk DanceLearn Practice
Lesson 8: Partial Quotients: Strategy and AlgorithmLearn Practice
Lesson 9: Practice Division with Partial QuotientsLearn Practice
Lesson 10: Find Missing Side LengthsLearn Practice
Lesson 11: World's Record Noodle SoupLearn Practice
Lesson 12: Fractions as Partial Quotients (Optional)Learn Practice
Lesson 13: Lots of MilkLearn Practice
Lesson 14: Real-World Applications: Trash ProblemsLearn Practice

Chapter 5: Place Value Patterns and Decimal Operations

Lesson 1: Thousandths: Introduction and RepresentationLearn Practice
Lesson 2: Thousandths and Place Value RelationshipsLearn Practice
Lesson 3: Compare DecimalsLearn Practice
Lesson 4: Round DecimalsLearn Practice
Lesson 5: Order and Solve Problems with DecimalsLearn Practice
Lesson 6: Decimal Addition: Sense Making and EstimationLearn Practice
Lesson 7: Analyze Addition MistakesLearn Practice
Lesson 8: Decimal Subtraction: Sense Making and EstimationLearn Practice
Lesson 9: Addition and SubtractionLearn Practice
Lesson 10: Multiply Decimals by Whole NumbersLearn Practice
Lesson 11: Multiply Decimals: Properties and HundredthsLearn Practice
Lesson 12: Multiply More DecimalsLearn Practice
Lesson 13: Divide by DecimalsLearn Practice
Lesson 14: Divide DecimalsLearn Practice

Chapter 6: Place Value Patterns and Decimal Operations

Lesson 1: Place Value Patterns and Powers of 10Learn Practice
Lesson 2: Metric Conversion with Powers of TenLearn Practice
Lesson 3: Multi-step Conversion Problems: Metric UnitsLearn Practice
Lesson 4: Multi-step Conversion Problems: Customary LengthLearn Practice
Lesson 5: Add and Subtract Fractions with Equivalent ExpressionsLearn Practice
Lesson 6: Subtract Fractions: Multiple StrategiesLearn Practice
Lesson 7: Solve ProblemsLearn Practice
Lesson 8: Put It All Together: Add and Subtract FractionsLearn Practice
Lesson 9: Representing Fractions on a Line PlotLearn Practice
Lesson 10: Problem Solving with Line PlotsLearn Practice
Lesson 11: Compare Products Using DiagramsLearn Practice
Lesson 12: Compare Without MultiplyingLearn Practice
Lesson 13: Compare to 1Learn Practice

Chapter 7: Shapes on the Coordinate Plane

Lesson 1: Explore and Plot Points on Coordinate GridLearn Practice
Lesson 2: Plot More PointsLearn Practice
Lesson 3: Classify QuadrilateralsLearn Practice
Lesson 4: Hierarchy of QuadrilateralsLearn Practice
Lesson 5: Rectangles and SquaresLearn Practice
Lesson 6: Sort TrianglesLearn Practice
Lesson 7: Patterns and RelationshipsLearn Practice
Lesson 8: Patterns and Ordered PairsLearn Practice
Lesson 9: Represent Problems on the Coordinate GridLearn Practice
Lesson 10: Perimeter and Area of RectanglesLearn Practice

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Illustrative Mathematics, Grade 5 — Lessons, Skills & Practice | Pengi