# Understanding Math: NBPTS Math - Adolescence & Young Adult Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. Which of the following actions helps students recognize the need for proof in mathematics?

#### Question 2 2. Which of the following is used by mathematicians to demonstrate that a statement is true?

#### Question 3 3. Which of the following statements demonstrates deductive reasoning?

#### Question 4 4. In teaching a class about matrices, you find a formula in the textbook that helps students use matrices to find the area of a triangle. However, there is not justification for the formula in the book. What should you do to help students see a need for proof in this situation?

#### Question 5 5. Which of the following explanations of a mathematical solution shows understanding of a need for justification in mathematics?

### Page 2

#### Question 6 6. The Egyptians used which field of mathematics to build the pyramids?

####
Question 7
7.
Why do you need calculus to solve this problem?

You work at a pediatician's office. Your boss has just asked you to make a graph showing how the growth of children changes over time. He wants the units to be in inches per year so parents can get an idea of how fast their children should grow. If it's drastically different, then parents can let the pediatrician know so if there is anything wrong, it can be fixed before the problem gets worse.

#### Question 8 8. Which of the following would we not have if we didn't have algebra?

#### Question 9 9. Which field of mathematics can help you when you are shopping, and you need to figure out how much your total bill will be with taxes and discounts?

#### Question 10 10. Which of the following problems is solved with the help of calculus?

### Page 3

#### Question 11 11. The Pythagorean theorem is only valid for what shape?

####
Question 12
12.
Which of the following sets of numbers makes this statement TRUE?

If a < b, then ac < bc

#### Question 13 13. Why is teaching with precision important in math?

#### Question 14 14. Under what conditions is the statement if a < b, then ac < bc correct?

#### Question 15 15. If the Pythagorean theorem is stated as a2 + b2 = c2, which of the students is using the Pythagorean theorem correctly?

### Page 4

#### Question 16 16. What is science?

#### Question 17 17. How has mathematics accelerated scientific progress in recent years?

#### Question 18 18. What is modeling in science?

#### Question 19 19. Why is mathematics especially important in physics?

#### Question 20 20. How is the scientific collection of data related to mathematics?

### Page 5

#### Question 21 21. Reflection throughout the math problem(s) process is _____.

#### Question 22 22. Build _____ by creating strategy groups. Those specific groups could _____ and share what they learned regarding the results processing.

#### Question 23 23. Students can develop their plan by using some of these strategies to approach the math problem(s):

#### Question 24 24. What are the four key approaches to solving math problems outlined in this lesson?

#### Question 25 25. To understand math problems, a student's detailed checklist would include identifying _____ to solve the problem and identifying _____.

#### Understanding Math: NBPTS Math - Adolescence & Young Adult Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!