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Envision Math Problem Solving Handbook 44

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  1. Math Solving
ProblemEnvision Math Problem Solving Handbook 44

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Envision

Math Solving

EnVision Math 2.0‎ > ‎

5TH GRADE

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

-------------------------------------------------------------------------------------------------------------------
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
-------------------------------------------------------------------------------------------------------------------
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