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

Lesson overview

Expand to review the lesson summary and core properties.

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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