Learn on PengienVision, Mathematics, Grade 6Chapter 1: Use Positive Rational Numbers

Lesson 7: Solve Problems with Rational Numbers

In Grade 6 math, students learn to solve multistep problems involving fractions and decimals by identifying the necessary information, selecting the correct operations, and interpreting solutions. This lesson from Chapter 1 of enVision Mathematics covers real-world applications such as calculating perimeters with mixed numbers, dividing fractions, and using decimal operations to find distances and totals. Students practice the full problem-solving process, from choosing operations to checking that answers are reasonable.

Section 1

A 4-Step Method for Solving Word Problems

Property

A general method for solving word problems can be broken down into four steps:

  1. Understand the Problem: Read the problem carefully. Identify the given information and what you need to find.
  2. Make a Plan: Determine which mathematical operations (addition, subtraction, multiplication, division) are needed to solve the problem.
  3. Solve: Write a numerical expression and perform the calculations.
  4. Check Your Answer: Review your work. Does your answer make sense in the context of the problem?

Examples

Book overview

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Chapter 1: Use Positive Rational Numbers

  1. Lesson 1

    Lesson 1: Fluently Add, Subtract, and Multiply Decimals

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  2. Lesson 2

    Lesson 2: Fluently Divide Whole Numbers and Decimals

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  3. Lesson 3

    Lesson 3: Multiply Fractions

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  4. Lesson 4

    Lesson 4: Understand Division with Fractions

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  5. Lesson 5

    Lesson 5: Divide Fractions by Fractions

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  6. Lesson 6

    Lesson 6: Divide Mixed Numbers

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  7. Lesson 7Current

    Lesson 7: Solve Problems with Rational Numbers

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Lesson overview

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Section 1

A 4-Step Method for Solving Word Problems

Property

A general method for solving word problems can be broken down into four steps:

  1. Understand the Problem: Read the problem carefully. Identify the given information and what you need to find.
  2. Make a Plan: Determine which mathematical operations (addition, subtraction, multiplication, division) are needed to solve the problem.
  3. Solve: Write a numerical expression and perform the calculations.
  4. Check Your Answer: Review your work. Does your answer make sense in the context of the problem?

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 1: Use Positive Rational Numbers

  1. Lesson 1

    Lesson 1: Fluently Add, Subtract, and Multiply Decimals

    LearnPractice
  2. Lesson 2

    Lesson 2: Fluently Divide Whole Numbers and Decimals

    LearnPractice
  3. Lesson 3

    Lesson 3: Multiply Fractions

    LearnPractice
  4. Lesson 4

    Lesson 4: Understand Division with Fractions

    LearnPractice
  5. Lesson 5

    Lesson 5: Divide Fractions by Fractions

    LearnPractice
  6. Lesson 6

    Lesson 6: Divide Mixed Numbers

    LearnPractice
  7. Lesson 7Current

    Lesson 7: Solve Problems with Rational Numbers

    LearnPractice