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Ch 4: Operations: NBPTS Math - Adolescence & Young Adult

About This Chapter

This chapter contains lessons about basic operations of mathematics. They were developed for you to use as preparation for the National Board for Professional Teaching Standards (NBPTS) Math test.

Operations: NBPTS Math - Adolescence & Young Adult - Chapter Summary

The lessons in this chapter are a refresher for you as you prepare for taking the NBPTS Math test. They were developed to help you answer test questions in the area mathematical operations. As you go through these lessons you will:

  • Explore arithmetic with whole and decimal numbers
  • Discover adding and subtracting like and unlike fractions and mixed numbers
  • Get to know multiplying and dividing fractions and mixed numbers
  • Take a look at adding, subtracting, multiplying and dividing complex numbers
  • Review solving problems using percents
  • Get familiar with calculating taxes and discounts
  • Brush up on solving math problems using estimation

Lessons are designed as short videos that also include a corresponding quiz for self-assessment. If you need to review any material, either refer to the video transcript we provide or use the keyword-based video timeline tool to replay the specific content you need to watch again. Additionally, you can submit a question to the instructor if you find yourself having trouble with any of the lesson topics.

11 Lessons in Chapter 4: Operations: NBPTS Math - Adolescence & Young Adult
Test your knowledge with a 30-question chapter practice test
Arithmetic with Whole Numbers

1. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

Arithmetic with Decimal Numbers

2. Arithmetic with Decimal Numbers

Watch this video lesson and see how our little professor goes about adding, subtracting, multiplying, and dividing decimal numbers all without the use of a calculator!

How to Add and Subtract Like Fractions and Mixed Numbers

3. How to Add and Subtract Like Fractions and Mixed Numbers

When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.

How to Add and Subtract Unlike Fractions and Mixed Numbers

4. How to Add and Subtract Unlike Fractions and Mixed Numbers

Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.

Multiplying Fractions and Mixed Numbers

5. Multiplying Fractions and Mixed Numbers

Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.

Dividing Fractions and Mixed Numbers

6. Dividing Fractions and Mixed Numbers

Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.

How to Add, Subtract and Multiply Complex Numbers

7. How to Add, Subtract and Multiply Complex Numbers

Knowing that complex numbers exist is the first step. But that knowledge alone won't help you do much with them. Learn the basics of complex number addition, subtraction and multiplication here!

How to Divide Complex Numbers

8. How to Divide Complex Numbers

While adding, subtracting and multiplying complex numbers is pretty straightforward, dividing them can be pretty tricky. It comes down to the process of multiplying by the complex conjugate. Learn about what that is, and how to do it, here.

Solve Problems Using Percents

9. Solve Problems Using Percents

Percents are your friend. Think of all the cool things percents do for you. They save you money, and they tell you how well you are doing in school. Learn how you can solve problems with percents in this video lesson.

Taxes & Discounts: Calculations & Examples

10. Taxes & Discounts: Calculations & Examples

When you go shopping, you don't want to be surprised by the amount of tax on an item. You also want to fully understand discounts to know how much you can save. In this lesson, we'll practice calculating both tax and discounts.

Solving Mathematical Problems Using Estimation

11. 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.

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 National Board Certification Exam - Mathematics/Adolescence & Young Adulthood: Practice & Study Guide course

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