In grade 5, instructional time should focus on three critical areas:
(1) developing fluency with addition andsubtraction of fractions, and developing understanding of the multiplication of fractions and of division offractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unitfractions);
(2) extending division to 2-digit divisors, integrating decimal fractions into the place valuesystem and developing understanding of operations with decimals to hundredths, and developing fluencywith whole number and decimal operations; and
(3) developing understanding of volume.
(1) Students apply their understanding of fractions and fraction models to represent the additionand subtraction of fractions with unlike denominators as equivalent calculations with likedenominators. They develop fluency in calculating sums and differences of fractions, andmake reasonable estimates of them. Students also use the meaning of fractions, ofmultiplication and division, and the relationship between multiplication and division tounderstand and explain why the procedures for multiplying and dividing fractions makesense. (Note: this is limited to the case of dividing unit fractions by whole numbers and wholenumbers by unit fractions.)(2) Students develop understanding of why division procedures work based on the meaning ofbase-ten numerals and properties of operations. They finalize fluency with multi-digit addition,subtraction, multiplication, and division. They apply their understandings of models fordecimals, decimal notation, and properties of operations to add and subtract decimals tohundredths. They develop fluency in these computations, and make reasonable estimates oftheir results. Students use the relationship between decimals and fractions, as well as therelationship between finite decimals and whole numbers (i.e., a finite decimal multiplied by anappropriate power of 10 is a whole number), to understand and explain why the proceduresfor multiplying and dividing finite decimals make sense. They compute products and quotientsof decimals to hundredths efficiently and accurately.(3) Students recognize volume as an attribute of three-dimensional space. They understand thatvolume can be measured by finding the total number of same-size units of volume required tofill the space without gaps or overlaps. They understand that a 1-unit by 1-unit by 1-unit cubeis the standard unit for measuring volume. They select appropriate units, strategies, and toolsfor solving problems that involve estimating and measuring volume. They decompose three-dimensionalshapes and find volumes of right rectangular prisms by viewing them asdecomposed into layers of arrays of cubes. They measure necessary attributes of shapes inorder to determine volumes to solve real-world and mathematical problems.The Standards for Mathematical Practice complement the content standards so that students increasinglyengage with the subject matter as they grow in mathematical maturity and expertise throughout theelementary, middle, and high school years.
Below are Links to:
- Vocabulary links to Quizlet
- enVision Lesson Videos on Pearson Realize
- Games
Link to Vocabulary - Quizlet enVision Math 2.0 Topic 1
Link to Student e-text book
Lesson 1.1 Visual Learning - Patterns with Exponents & Powers of 10
Lesson 1.2 Visual Learning - Understand Whole Number Place Value
Lesson 1.3 - Visual Learning - Decimals to Thousandths
Lesson 1.4 - Visual Learning - Understand Decimal Place Value
Lesson 1.5 - Another Look
Lesson 1.6 - Visual Learning - Round Decimals
Lesson 1.7 - Visual Learning - Look for Use & Structure
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Link to Vocabulary - Quizlet enVision Math 2.0 Topic 2
Link to Student e-text book
Lesson 2.1 - Visual Learning - Mental Math
Lesson 2.2 - Visual Learning - Estimate Sums & Differences
Lesson 2.3 - Visual Learning - Use Models to Add & Subtract Decimals
Lesson 2.4 - Another Look
Lesson 2.5 - Visual Learning - Subtract Decimals
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Topic 3 - Fluently Multiply Multi-Digit Whole Numbers
Link to Vocabulary - Quizlet enVision 2.0 Topic 3
Link to Student e-text book
Lesson 3.1 - Visual Learning - Multiply Greater Numbers by Powers of 10
Lesson 3.2 Another Look
Lesson 3.3 Visual Learning - Multiplying 3-Digit by 2-Digit Numbers
Lesson 3.4 Visual Learning - Multiply Whole Numbers with Zeros
Lesson 3.5 Visual Learning - Multiply Multi-Digit Numbers
Lesson 3.6 Visual Learning - Solve Word Problems Using Multiplication
Lesson 3.7 Another Look
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Topic 4 - Use Models and Strategies to Multiply Decimals
Link to Vocabulary - Quizlet enVision Math 2.0 Topic 4
Link to Student e-text book
Lesson 4.1 - Visual Learning - Multiply Decimals by Powers of 10
Lesson 4.2 Visual Learning - Estimate the Product of a Decimal & a Whole Number
Lesson 4.3 Visual Learning - Use Models to Multiply a Decimal and a Whole Number
Lesson 4.4 Visual Learning - Multiply a Decimal by a Whole Number
Lesson 4.5 Visual Learning - Use Models to Multiply a Decimal and a Decimal
Lesson 4.6 Visual Learning - Multiply Decimals using Partial Products
Lesson 4.7 Visual Learning - Use Properties to Multiply Decimals
Lesson 4.8 Visual Learning - Use Number Sense to Multiply Decimals
Lesson 4.9 Another Look
Lesson 4.10 Visual Learning - Model with Math
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Topic 5 - Use Models and Strategies to Divide Whole Numbers
Link to Vocabulary - Quizlet enVision Math 2.0 Topic 5
Link to Student e-text book
Lesson 5.1 Visual Learning - Use Patterns & Mental Math to Divide
Lesson 5.2 Visual Learning - Estimate Quotients with 2-Digit Divisors
Lesson 5.3 Visual Learning - Use Models to Divide with 2-Digit Divisors
Lesson 5.4 Visual Learning - Use Partial Quotients to Divide
Lesson 5.5 Visual Learning - Divide by Multiples of 10
Lesson 5.6 Visual Learning - Use Estimation to Place the First Digit of the Quotient
Lesson 5.7 Visual Learning - Divide by 2-Digit Divisors
Lesson 5.8 Visual Learning - Make Sense & Persevere
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Topic 6 - Use Models and Strategies to Divide Decimals
Link to Student e-text book
Lesson 6.1 - Visual Learning - Patterns for Dividing with Decimals
Lesson 6.2 Visual Learning - Estimating Decimal Quotients
Lesson 6.3 Visual Learning - Use Models to Divide by a 1 Digit Whole Number
Lesson 6.4 - Visual Learning - Divide by a 1 Digit Whole Number
Lesson 6.5 - Visual Learning - Divide by a 2 Digit Whole Number
Lesson 6.6 - Visual Learning - Using Number Sense to Divide Decimals
Lesson 6.7 - Visual Learning - Divide by a Decimal
Lesson 6.8 - Visual Learning - Continue to Divide with Decimals
Lesson 6.9 - Visual Learning - Math Practices & Problem Solving
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Topic 7 - Use Equivalent Fractions to Add & Subtract Fractions
Link to Vocabulary - Quizlet enVision Math 2.0 Topic 7
Link to Student e-text book
Lesson 7.2 - Visual Learning - Find Common Denominators
Lesson 7.3 - Visual Learning - Add Fractions with Unlike Denominators
Lesson 7.4 - Visual Learning - Subtract Fractions with Unlike Denominators
Lesson 7.5 - Visual Learning - Add & Subtract Fractions
Lesson 7.6 - Visual Learning - Estimate Sums & Differences of Mixed Numbers
Lesson 7.7 - Visual Learning - Use Models to Add Mixed Numbers
Lesson 7.8 - Another Look
Lesson 7.9 - Visual Learning - Use Models to Subtract Mixed Numbers
Lesson 7.10 - Visual Learning - Subtract Mixed Numbers
Lesson 7.11 - Visual Learning - Add & Subtract Mixed Numbers
Lesson 7.12 - Visual Learning - Math Practices & Problem Solving: Model with Math
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Topic 8 - Apply Understanding of Multiplication to Multiply Fractions
Link to Vocabulary enVision Math 2.0 Topic 8
Link to Student e-text book
Lesson 8.1 - Visual Learning - Use Models to Multiply a Whole Number by a Fraction
Lesson 8.2 - Visual Learning - Use Models to Multiply a Fraction by a Whole Number
Lesson 8.3 - Visual Learning - Multiply Fractions and Whole Numbers
Lesson 8.4 - Visual Learning - Use Models to Multiply 2 Fractions
Lesson 8.5 - Visual Learning - Multiply two fractions
Lesson 8.6 - Visual Learning - Area of a Rectangle
Lesson 8.7 - Visual Learning - Multiply Mixed Numbers
Lesson 8.8 - Visual Learning - Multiplication as Scaling
Lesson 8.9 - Visual Learning - Making Sense of Problems & Perseverance
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Topic 9 - Apply Understanding of Division to DivideFractions
Link to Vocabulary - Quizlet enVision Math 2.0 Topic 9
Link to Student e-text book
Lesson 9.1 - Visual Learning - Fractions and Division
Lesson 9.2 - Visual Learning - Fractions & Mixed Numbers as Quotients
Lesson 9.3 - Visual Learning - Use Multiplication to Divide
Lesson 9.4 - Visual Learning - Divide Whole Numbers by Unit Fractions
Lesson 9.5 - Visual Learning - Divide Unit Fractions by Non-Zero Whole Numbers
Lesson 9.6 - Visual Learning - Divide Whole Numbers and Unit Fractions
Lesson 9.7 - Visual Learning - Solve Problems Using Division
Lesson 9.8 - Another Look
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Link to Vocabulary - Quizlet enVision Math 2.0 Topic 10
Link to Student e-text book
Lesson 10.1 - Visual Learning - Model Volume
Lesson 10.2 - Visual Learning - Develop a Volume Formula
Lesson 10.3 - Another Look
Lesson 10.4 - Visual Learning - Combine Volumes of Prisms
Lesson 10.5 - Visual Learning - Solve Words Problems Using Volume
Lesson 10.6 - Visual Learning - Use Appropriate Tools
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Lesson 11.1 - Visual Learning - Convert Customary Units of Length
Lesson 11.2 - Visual Learning - Convert Customary Units of Capacity
Lesson 11.3 - Visual Learning - Convert Customary Units of Weight
Lesson 11.4 - Visual Learning - Convert Metric Units of Length
Lesson 11.5 - Visual Learning - Convert Metric Units of Capacity
Lesson 11.6 - Visual Learning - Convert Metric Units of Mass
Lesson 11.7 - Visual Learning - Solve Word Problems Using Measuremt Conversion
Lesson 11.8 - Visual Learning - Math Practice - Precision
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Lesson 12.1 - Visual Learning - Analyze Line Plots
Lesson 12.2 - Another Look
Lesson 12.3 - Visual Learning - Solve Word Problems Using Measurement Data
Lesson 12.4 - Visual Learning - Math Practices & Problem Solving:Critique Reasoning
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Topic 13 - Algebra: Write and Interpret Numerical Expressions
Lesson 13.1 - Visual Learning - Order of Operations
Lesson 13.2 Visual Learning - Evaluate Expressions
Lesson 13.3 Visual Learning - Write Numerical Expressions
Lesson 13. 3 Visual Learning Interpret Numerical Expressions
Lesson 13.5 Visual Learning - Math Practices & Problem Solving - Reasoning
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Link to Student e-text book
Lesson 14.1 - Visual Learning - The Coordinate System
Lesson 14.2 - Visual Learning - Graph Data using Ordered Pairs
Lesson 14. 3 - Visual Learning - Solve Problems Using Ordered Pairs
Lesson 14.4 - Visual Learning - Math Practices & Problem Solving
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Topic 15- Algebra: Analyze Patterns and Relationships
Lesson 15.1 - Visual Learning - Numerical Patterns
Lesson 15.2 - Visual Learning - More Numerical Patterns
Lesson 15.3 - Visual Learning - Analyze and Graph Relationships
Lesson 15.4 - Visual Learning - Make Sense & Persevere
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Topic 16 - Geometric Measurement: Classify 2-Dimensional Figures
Link to Student e-text book
Lesson 16.1 - Visual Learning - Classify Triangles
Lesson 16.2 - Visual Learning - Classify Quadrilaterals
Lesson 16.3 - Visual Learning - Continue to Classify Quadrilaterals
Lesson 16.4 - Visual Learning - Math Practices & Problem Solving