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FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide  /  Math Courses

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FTCE Middle Grades Math: Connecting Math Concepts Chapter Exam

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!

Page 1

Question 1 1. Tangible objects that can help represent mathematical concepts are _____.

Question 2 2. At what grade do students move from concrete to abstract mathematical thinking?

Question 3 3. When preparing students to bridge the gap between concrete and abstract math, it is helpful for teachers to know _____.

Question 4 4. What is scaffolding?

Question 5 5. When are students in a classroom prepared to make the jump from concrete to abstract math?

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Question 6 6. If one were to travel in a complete circle through a distance of 5 miles, what would the radius of the circle be?

Question 7 7. If a distance (let's call it diameter-d) through the very center of a circle from one side of the edge of the circle to the other is two-times the radius-r, d = 2r, what is the diameter of a circle with a circumference-C of 5 miles?

Question 8 8. If one were to drive, making one full trip around a circle with a radius of 1 mile, how many miles would they travel total?

Question 9 9. If one were standing 4 feet from the base of a 20-foot-high building and wanted to extend a ladder to reach the top of the building, how long would the ladder have to be extended?

Question 10 10. To reach the roof of a building, a ladder is extended 25 feet, 6 feet from the base of the building. How high is the building?

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Question 11 11. The ratio, which is seen in what human beings collectively view as aesthetically pleasing, such as a seashell or the Mona Lisa, is known as what?

Question 12 12. What branch of study implements math in carrying out studies often seen in sociological and psychological studies?

Question 13 13. What is an example of a profession that regularly applies geometric and/or trigonometric principles in practice?

Question 14 14. What is the most specific way that math might be applied in cooking, given the following choices?

Question 15 15. What is the name of the mathematical study that deals with rates of change, as seen in problems involving velocity and acceleration?

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Question 16 16. Which is counting by an increment of 0.5?

Question 17 17. What does 16 divide evenly by?

Question 18 18. What does the * symbol mean?

Question 19 19. _____ is more general than _____.

Question 20 20. Which is a math fact?

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Question 21 21. How could you scaffold a small group of students who are working together as they need some help determining if two fractions are equivalent?

Question 22 22. Choose the correct order for the steps in scaffolding students in mathematics.

Question 23 23. What is the best definition of scaffolding in mathematics?

Question 24 24. Let's say over half of your students are struggling with equivalent fractions after you have guided them through a few problems. They still seem 'stuck', but your class time is almost over. How would you scaffold your students?

Question 25 25. Which step of scaffolding requires the most help from the teacher?

FTCE Middle Grades Math: Connecting Math Concepts 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!

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