Ch 12: Basic Elements of Mathematics

About This Chapter

Brush up on the basic elements of mathematics with the fun video lessons in this chapter. Review how to write arithmetic expressions, solve word problems and apply logic and reasoning to a variety of math concepts.

Basic Elements of Mathematics - Chapter Summary

Understanding the basic elements of math is vital before moving on to more advanced problems in the subject. If your mathematics skills are a little rusty, this chapter's video lessons can refresh your memory of how to use different types of reasoning to solve problems and how to break down word problems.

You'll also take a look at the importance of language skills in mathematics and how math skills are necessary in everyday life. Once you finish this chapter, you'll be able to:

  • Write arithmetic expressions
  • Distinguish between inductive and deductive reasoning
  • Give examples of connective reasoning
  • Explain how to use logic and critical thinking in math
  • Restate and solve word problems
  • Use personalization to better understand word problems
  • Convert math sentences into inequalities
  • Describe how language skills apply to math

With our video lessons, you can strengthen your math knowledge and skills wherever you have access to a computer or mobile device. Professional instructors use numerous examples and sample problems to help you grasp the material in this chapter. We provide lesson transcripts and self-assessment lesson quizzes, as well, to enhance your study sessions.

10 Lessons in Chapter 12: Basic Elements of Mathematics
Test your knowledge with a 30-question chapter practice test
What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions

1. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions

When it comes to solving math word problems, there is a correct way of setting up the problem and labeling the various parts of the problem so that you can solve the problem easily. Watch this video lesson to learn how you can do it.

Reasoning in Mathematics: Inductive and Deductive Reasoning

2. Reasoning in Mathematics: Inductive and Deductive Reasoning

Many people think that deductive and inductive reasoning are the same thing. It is assumed these words are synonymous. They are not. This lesson reveals the reality of these two types of reasoning.

Reasoning in Mathematics: Connective Reasoning

3. Reasoning in Mathematics: Connective Reasoning

Connective reasoning is reasoning that has an operation, or a way to connect two phrases. The five main logic connectives will be reviewed in this lesson.

Critical Thinking and Logic in Mathematics

4. Critical Thinking and Logic in Mathematics

Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.

Solving Word Problems: Steps & Examples

5. Solving Word Problems: Steps & Examples

Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.

Restating Word Problems Using Words or Images

6. Restating Word Problems Using Words or Images

Watch this video lesson to learn how you can use sketches and notes to help you visualize a problem. Watch how easy it becomes to solve your problem once you have visualized it.

Personalizing a Word Problem to Increase Understanding

7. Personalizing a Word Problem to Increase Understanding

When it comes to word problems, being able to personalize a word problem with more familiar situations will help you a lot in your problem solving. Watch this video lesson to learn how you can restate the word problem in terms you understand.

Translating Math Sentences to Inequalities

8. Translating Math Sentences to Inequalities

Watch this video lesson to learn how you can easily translate math sentences into inequalities. Once you know how to do this, solving word problems becomes that much easier.

How Language Skills Apply to Mathematics

9. How Language Skills Apply to Mathematics

Just because you are learning math does not mean that you can totally skimp on your language skills. In this lesson, you'll learn that improving in your language skills can actually help improve your math skills as well.

Using Math in Everyday Life

10. Using Math in Everyday Life

While not everyone loves math, it is extremely useful. Learn about just a few of the dozens of ways that math can be used in everyday life: for money matters, to improve decision-making, and in many other little ways.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support