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4.8: Problem-Solving Strategies - Graphs

Created by: CK-12

Learning Objectives

At the end of this lesson, students will be able to:

  • Read and understand given problem situations.
  • Use the strategy: Read a graph.
  • Develop and apply the strategy: Make a graph.
  • Solve real-world problems using selected strategies as part of a plan.

Vocabulary

Terms introduced in this lesson:

approximate answer

Teaching Strategies and Tips

Remind the students of the four-step problem-solving plan:

Step 1: Understand the Problem

Read the problem carefully. Once the problem is read, list all the components and data that are involved. This is where you will be assigning your variables.

Step 2: Devise a Plan – Translate

Come up with a way to solve the problem. Set up an equation, draw a diagram, make a chart or construct a table as a start to solving your problem.

Step 3: Carry Out the Plan – Solve

This is where you solve the equation you came up with in Step 2.

Step 4: Look – Check and Interpret

Check to see if your answer makes sense.

Emphasize that Step 4 entails more than "going over your work” to see “if it’s all there.” Cursory checking often misses the error because the same mistake is made again. Above all, encourage students to determine whether their answer seems reasonable.

Error Troubleshooting

General Tip. Have students draw fairly precise graphs to obtain better approximate answers. Use rulers, sharp pencils, graphing paper, and consistent increments on the axes.

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CK.MAT.ENG.TE.1.Algebra-I.4.8

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