# Algebraic Thinking in the Classroom 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. What are the four steps of Polya's 4-step Process to Problem Solving?

#### Question 2 2. Rachel is using Polya's 4-Step process to divide 125 by 25. At the last step, Rachel will likely _____.

#### Question 3 3. Which of these tells us how to process numbers to obtain an answer?

#### Question 4 4. A student who can trace the steps used to define a concept and explain the logic behind the process is able to _____.

#### Question 5 5. What are bellringers?

### Page 2

#### Question 6 6. A student who knows how to find a common denominator will have _____ when adding fractions with different denominators.

#### Question 7 7. Two angles whose sum is 90 degrees are complementary angles. Therefore, if angle A measure 60 degrees and angle B measures 30 degrees, they are complementary. This is an example of _____.

#### Question 8 8. The ability to put math problems into a formula is known as _____.

#### Question 9 9. What are the two key components of sense-making?

#### Question 10 10. What is the look for logic approach based on?

### Page 3

#### Question 11 11. Which of these is true about number sense?

#### Question 12 12. A student knows that 30 divided by 6 equals 5 and she can defend it by creating 5 groups of 6 cards each and then counting the total amount of cards. This is an example of _____.

#### Question 13 13. Mark knows that 5 multiplied by 0 equals 0, and that 10 multiplied by 0 equals 0. Therefore, he _____ that 20 multiplied by 0 equals 0.

#### Question 14 14. All dogs have long tails. A Cocker Spaniel is a dog. Therefore, Cocker Spaniels have long tails. This is an example of _____.

#### Question 15 15. _____ is a popular type of puzzle that can train students to think mathematically and critically.

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#### Question 16 16. A student who applies critical thinking to a problem involving a right triangle can _____.

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Question 17
17.
To understand a set, you must understand that a set is a grouping together of items based on a pre-stated condition of inclusion.

This is an example of which principle of the 3-Way Principle of mathematics?

#### Question 18 18. If I drew a picture to help illustrate a point when solving a math problem, I would be using which method of the Three-Way principle?

#### Question 19 19. A student determines that because 5 x 5 = 25 and 5 x 8 = 40, every multiplication problem with a factor of 5 has a product that ends in either 0 or 5. What type of reasoning did this student use?

#### Question 20 20. Which of the following strands of mathematic proficiency was most celebrated in a traditional classroom (but is falling out of favor today)?

### Page 5

#### Question 21 21. Which of the following statements is true about mathematical patterns?

#### Question 22 22. How do we solve mathematical patterns?

#### Question 23 23. Which of the following mathematical activities would best reinforce math logic skills in high school students?

#### Question 24 24. You ask a student how long the school bus is. The student responds that she doesn't know. Which of the following responses would you say to best help her develop strong estimation skills?

#### Question 25 25. What is a mathematical relationship?

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#### Question 26 26. Which of the following activities teaches the math relationship of division?

#### Question 27 27. What is Polya's Four-Step Problem Solving Process?

#### Question 28 28. If I have already solved a problem but am solving the problem again using a different method to see if I get the same answer, I am at which step of Polya's Four-Step Problem Solving Process?

#### Question 29 29. When students think critically in math, they can _____.

#### Question 30 30. In which method do you understand a problem by using words to work through a problem?

#### Algebraic Thinking in the Classroom 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!