Rebecca Wingard-Nelson - Geometry Word Problems: No Problem!

Word Problems? No Problem!

HAVING A PROBLEM WITH WORD PROBLEMS? THIS BOOK INTRODUCES SIMPLE WAYS TO TACKLE TRICKY WORD PROBLEMS WITH GEOMETRY. REAL WORLD EXAMPLES MAKE THE BOOK EASY TO READ AND ARE GREAT FOR STUDENTS TO USE ON THEIR OWN, OR WITH PARENTS, TEACHERS, OR TUTORS.

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"The author does a splendid job of clearly presenting material to help readers practice their problem-solving skills in geometry."

About the Author

AUTHOR REBECCA WINGARD-NELSON has worked in public, private, and home-school mathematics education. She has been involved in various educational math projects, including developing and writing state assessment tests, exit exams, and proficiency tests, as well as writing and editing textbooks and workbooks.

When you see a picture on a wall that appears to be crooked, you're living in a word problem! Math is everywhere; you just might not realize it all the time because math isn't always written as a math problem.

This book will help you understand how geometry is used in word problems. The step-by-step method can help students, parents, teachers, and tutors solve any word problem. The book can be read from beginning to end or used to review a specific topic.

How do I start? What do I do if I get stuck? What if the answer is wrong when I check it? Word problems are hard for me!

You can watch a swim meet and see swimmers racing across a pool, but if you want to learn to swim, you must get in the water. Solving math problems is not a spectator sport. You may first watch how others solve word problems, but then you need to solve them for yourself, too. Go ahead, jump in!

Even the most gifted athlete or musician will tell you that in order to play well, you must practice. The more you practice anything, the better and faster you become at it. The same is true for problem solving. Homework problems and class work are your practice.

If you already know everything, there is nothing left to learn. Every mistake you make is a potential learning experience. When you understand a problem and get the right answer the first time, good for you! When you do NOT understand a problem but figure it out, or you make a mistake and learn from it, AWESOME for you!

Ask smart questions. Whoever is helping you does not know what you don't understand unless you tell them. You must ask a question before you can get an answer.

Ask questions early. Concepts in math build on each other. Today's material is essential for understanding tomorrow's.

Stuck on homework? There are many resources for homework help.

• Check a textbook.
• Ask someone who does understand.
• Try looking up sources on the Internet (but don't get distracted).
• Read this book!

Getting frustrated? Take a break.

• Get a snack or a drink of water.
• Move around and get your blood flowing. Then come back and try again.

Stuck on a test? If you do get stuck on a problem, move on to the next one. Solve the problems you understand first. That way you won't miss the problems you do understand because you were stuck on one you didn't. If you have time, go back and try the ones you skipped.

Wrong answer? Check the math; it could be a simple mistake. Try solving the problem another way. There are many problem-solving strategies, and usually more than one of them will work. Don't give up. If you quit, you won't learn anything.

What steps can I take to solve word problems? If I follow the steps, will I be more likely to get a correct answer? Will I have less trouble finding the answer?

Read the problem. Read the problem again. This may seem obvious, but this step may be the most important.

Ask yourself questions like:
Do I understand all of the words in the problem?
Can I restate the problem in my own words?
Will a picture or diagram help me understand the problem?
What does the problem ask me to find or show?
What information do I need to solve the problem? Do I have all of the information I need?

Underlining the important information can help you to understand the problem. Read the problem as many times as it takes for you to have a clear sense of what happens in the problem and of what you are asked to find.

Step 1: Understand the problem.
Step 2: Make a plan.
Step 3: Follow the plan.
Step 4: Review.

There are many ways to solve a math problem. Choosing a good plan becomes easier as you solve more problems. Some plans you may choose are:

Now that you understand the problem and have decided how to solve it, you can carry out your plan. Use the plan you have chosen. If it does not work, go back to step 2 and choose a different plan.

Look over the problem and your answer. Does the answer match the question? Does the answer make sense? Is it reasonable? Check the math. What plan worked or did not work? Looking back at what you have done on this problem will help you solve similar problems.

Four friends are standing on a circle. What is the total number of line segments that can be drawn to connect any of the two friends?

Read the problem. What is a line segment? A line segment is part of a line. It has a starting and ending point.

What does the problem ask you to find?
The total number of different line segments that can be drawn to connect any two friends on the circle.

What information do you need to solve the problem?
The number of friends.

Let's draw a picture.

Draw a circle. Use a point on the circle to represent each friend. Start at any point. Draw a line segment from that point to each of the other three points.

Move clockwise to the next point. Draw a line segment to each of the two points that are not yet connected.

Move clockwise to the next point. Draw a line segment to the point that is not yet connected.

The next point clockwise already is connected to the other three points.