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# Math 111 study guide MATH 111 001

UNM

GPA 2.5

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## Popular in Mathematics for Elementary and Middle School Teachers I

## Popular in Mathematics (M)

This 2 page Study Guide was uploaded by Kayla Ferranto on Sunday March 20, 2016. The Study Guide belongs to MATH 111 001 at University of New Mexico taught by Ana Lombard in Winter 2016. Since its upload, it has received 32 views. For similar materials see Mathematics for Elementary and Middle School Teachers I in Mathematics (M) at University of New Mexico.

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Date Created: 03/20/16

Math 111 001 Sp16 Test 2 Review (2.1 - 3.4) Name & Date: ____________________________________ Use complete sentences when asked to “explain”or “why” – Due Monday3/21/16 (bring to class) 1. Explain each stepof Polya’s Four Step Problem Solving Process. 1. Understand the Problem 2. Devise a plan 3. Carry out the plan 4. Check 2. The diameter of a circle is 36ft. The radius is half of the amount of the diameter. The circumference of the circle is equal to π times the radius. What is the circumference of this circle?Write an Equation. 3. Explain the pattern: a. 1, 7, 13, 19, 25, 31, ____ 4. Unit Fractions: shade1/3 of the circle and shade 3/5 of the hills. 5. Are the following fractions proper or improper? Convert the Improper fractions into Mixed Numbers. ½ 14/7 1 ½ 3/8 21/9 6. Solve the following: 1/2 + 2/4 = 14/87 + 27/87 = 247/125 – 123/5 = 33/25 – 33/50 = 7. Simplify the following fractions: 18/21 = 397/2,779 = 8. Use the four standard methods to compare: 4/18 and 1/3 Cross Multiplication: Convert into Decimals: Least Common Denominator Method: 9. Express the following percentages asa fraction: 250% = 25% = 10. How can we use the Commutative and Associative Property to solve the following equation s mentally? Explain how. 252+341+8 = 4,321 + 337 + 79 = 11. Name and use three of the following strategies/methods to solve the addition problem: Counting on, Number line model, Front End Addition, Compensation Strategy, Break & Bridge, Compatible Numbers, or Scratch Addition. 3843 2642 346 + 21 12. Describe how you would teachthe following Addition Algorithmusing the Concrete-Representational-Abstract Instructional Approach: 18 + 7 13. Are these equations equal? Explain why or why not? 398+152 = 398+2 = 400+150 14. What is an algorithm? 15. Use the carrying above and carrying below strategies for the following: 2,734 +632 16. Use two of the three ways to solve percent problems (algebra such as cross multiplication, going through 1, making equivalent fractions) for the following: If you want to buy a sweater that costs $21 dollars and there is a 7% sales tax, how muchis the total amount that you will pay for the sweater? 17. Write Finite Decimals as Fractions: 126.2 = .642 = 18. Solve the following word problem using the Solve a Simpler Problem Method: Six toppings are available to place on a regular cheesepizza. How many different pizzas can be made by varying toppings? 19. Make your own story problem using the information from theequation: 28 + 42 = ? or 42 - ? = 28. Use the Strip Diagram Method to solve the Word Problem. 20. What is Game Theory? How canyou use this theoryin a Math lesson?

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