Ch 3: FTCE Middle Grades Math: Problem-Solving Strategies

About This Chapter

Review the problem-solving strategies provided in this informative chapter to prepare for the FTCE Middle Grades Math exam. You can access our video and text lessons and quizzes 24 hours a day on your mobile phone or tablet to get ready for questions on the test.

FTCE Middle Grades Math: Problem-Solving Strategies - Chapter Summary

In this fun chapter, you'll review the problem-solving strategies needed to answer questions on the FTCE Middle Grades Math test. Our lessons cover Polya's four-step problem-solving process, plus the mathematical principles you need to know to successfully solve problems. You'll go over several different types of math problems and the different problem-solving strategies needed to answer them. Once you complete this chapter, you should be able to:

  • Use tables, graphs and mathematical models to solve problems
  • Detail the three-way principle of mathematics
  • Use estimations to solve math problems
  • Solve one- and two-operation problems using guess and check
  • Use mental math to add, subtract, multiply and solve equations
  • Answer visualizing geometry problems
  • Work backwards to solve word problems

The video and text lessons in this chapter are professionally designed, mobile friendly and accessible 24 hours a day for convenient study. You can review the entire chapter as a great test prep exercise or study only the lessons that correspond with the topics you need to know. Skip ahead or jump back to specific section in a video lesson using the video tabs feature. Our instructors are available to offer their assistance if you need it.

12 Lessons in Chapter 3: FTCE Middle Grades Math: Problem-Solving Strategies
Test your knowledge with a 30-question chapter practice test
Polya's Four-Step Problem-Solving Process

1. Polya's Four-Step Problem-Solving Process

Problem solving can be a problem. Any problem is solved easier with an action plan. Polya's 4-Step Problem-Solving Process is discussed in this lesson to help students develop an action plan for addressing problems.

Mathematical Principles for Problem Solving

2. Mathematical Principles for Problem Solving

Solving problems is not just a simple, straightforward process. There are a few principles that can help you as you approach any problem solving scenarios. This lesson covers those principles with examples.

The Three-Way Principle of Mathematics

3. The Three-Way Principle of Mathematics

What methods are there to solve and understand mathematical problems? This lesson will review three methods to understand mathematical problems (verbal, graphical, and by example). Each will be illustrated with examples.

Types of Problems & Problem Solving Strategies

4. Types of Problems & Problem Solving Strategies

We solve hundreds of small problems everyday. This lesson covers different types of problems, such as routine vs. non-routine, and many of the different problem-solving strategies we use, including algorithms, heuristics, graphic representations and the IDEAL Strategy.

Solving Mathematical Problems Using Estimation

5. Solving Mathematical Problems Using Estimation

Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.

Guess and Check: One & Two Operation Problems with Positive Decimals

6. Guess and Check: One & Two Operation Problems with Positive Decimals

In this video lesson, you will learn how to use your guessing skills in finding the correct answer to a decimal problem. Learn how you can refine your guess to make an even better guess and get closer to finding your answer.

Using Mathematical Models to Solve Problems

7. Using Mathematical Models to Solve Problems

Mathematical modeling simply refers to the creation of mathematical formulas to represent a real world problem in mathematical terms. This lesson reviews the creation and pitfalls of mathematical models.

Mental Math: Addition and Subtraction

8. Mental Math: Addition and Subtraction

After watching this video lesson, you will get better at adding and subtracting numbers in your head without a calculator. Learn how breaking apart your addition and subtraction problems makes them easier and quicker to solve in your head.

Using Mental Math for Multiplication

9. Using Mental Math for Multiplication

Do you want to impress your friends and family with your amazing brain? You can when you learn a really easy way to multiply single digits by multiples of 10 and 100 in this lesson.

How to Use Mental Math to Solve Equations

10. How to Use Mental Math to Solve Equations

You may be used to solving arithmetic problems, like addition or subtraction, in your head. In this lesson, we are going to take that mental math a step further and look at how to use mental math to solve equations.

How to Solve Visualizing Geometry Problems

11. How to Solve Visualizing Geometry Problems

A picture is worth a thousand words, but sometimes drawing that picture can be like doing origami with your eyes closed. Practice translating complex problems into simple, meaningful images in this lesson.

Working Backwards to Solve Word Problems

12. Working Backwards to Solve Word Problems

There are many ways to go about solving word problems in mathematics. This lesson will illustrate a particular solving process called working backwards. We'll see how and when to use this process to solve word problems.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide course

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