OPERATIONS AND ALGEBRAIC THINKING PRE -ASSESSMENT

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1 DESK Assessment Title Author / Source Submitted by Type of Assessment Description Scoring Guide, Rubric, or Key Link to Assessment Course: Davis Essential: Skills and Knowledge: 5 th Grade Mathematics Operations and Algebraic Thinking Write and interpret numerical expressions; analyze patterns/relationships OPERATIONS AND ALGEBRAIC THINKING PRE -ASSESSMENT 4-6 Math Coaches Math Team Multiple Choice: Students could be asked to show work as to why they came up with their selected answer. A calculator may be used with this assessment. This assessment was designed to measure student pre-knowledge of the essential skills and knowledge identified above. Our recommendation is that this assessment not be used as a tool for reporting student mastery for parents, but could be used in conjunction with the post assessment as a source of data that can be discussed in grade-level data teams or with math coaches. The answer key rationale is attached. N/A 10/2/2012 Davis School District, Farmington, UT All Rights Reserved

2 5 th Grade OA DESK PRE-Test Name 1. How would you correctly evaluate the following expression? ( ) 5 a. 5 b. 6 c. 7 d Evaluate the following expression: [ ] [16 8]. What is the correct answer? a. 12 b. 13 c. 28 d Evaluate the following expression: 7 + (62 6) + 8. What is the correct answer? a. 55 b. 61 c. 65 d Using order of operations, what should you do first to solve this problem? x 12 9 a. Add 13 and 18 b. Multiply 18 by 12 c. Subtract 9 from 12 d. Subtract 9 from 13

3 5. Using order of operations, which should you do first to solve this problem? 54 x a. Add 22 and 72 b. Subtract 320 from 4 c. Divide 72 by 4 d. Multiply 54 by What is the proper way to write the following simple expression? Add 4 to 5 then multiply by 2 a x 2 b. 4 + (5 x 2) c. (4 x 2) + 5 d. (4 + 5) x 2 7. What is the proper way to write the following simple expression? Subtract 7 from 28 then divide by 3 a b. [28 7] 3 c d. (7 28) 3 8. Which is the correct way to interpret the following expression? (5 x 8) (5 x 3) a. Five multiplied by eight minus three b. The product of five multiplied by eight then decreased by five c. Five multiplied by eight then decreased by the product of five multiplied by three d. Eight minus three multiplied by five 9. What is the correct way to interpret the following expression? (6 + 15) 3 a. Add 6 and 15 and then divide by 3 b. Divide 15 by 3 and add 6 c. Divide 6 by 3 and add 15 d. Add 6 and 3 and then add 15

4 Use the following table for questions The pattern for the top row is start at zero and add 3. The pattern for the bottom row is start at zero and add What number goes in the top gray box? a. 15 b. 12 c. 6 d What number goes in the bottom gray box? a. 6 b. 18 c. 24 d What is the relationship between the numbers on the top and the numbers on the bottom? a. The bottom number is 3 more than the top number b. The bottom number is 6 more than the top number c. The top number is twice than the bottom number d. The bottom number is twice than the top number Use the following Table for questions If John has $4 and each week earns an additional 8, then the top row pattern is start at 4 and add 8. Monica has $8 and each week also earns $8. Her pattern on the bottom row is start at 8 and add What number goes in the top gray box? a. 12 b. 32 c. 36 d What number goes in the bottom gray box? a. 16 b. 32 c. 40 d. 56

5 15. What is the relationship between the top number and the bottom number? a. The top number is double to the bottom number. b. The bottom number is double the top number. c. The bottom number is 4 more than the top number. d. The top number is 8 less than the bottom number. Use the following table to answer Questions x y Which is an order paired from the table above? a. (2, 3) b. (2, 4) c. (3, 2) d. (3, 6) 17. Which is another ordered pair from the table above? a. (8, 10) b. (8, 12) c. (9, 12) d. (12, 15)

6 18. Look at the coordinate planes below. Which one shows the data from the table above correctly graphed? A B C D

7 A B C D 1 OA.1 Distractor Distractor Distractor 2 OA.1 Miscalculations Adds instead of divides Adds 3 OA.1 Solving Error OA.1 &.2 OA.1 &.2 OA.1 &.2 Regrouped Incorrectly Distractor Distractor Distractor Distractor Distractor Distractor Distractor No parentheses Misuse of parentheses 7 OA.2 No parentheses Misuse of Parentheses Incorrect placement of numbers Incorrect placement of numbers 8 OA.2 Distractor Distractor Distractor 9 OA.2 Misreading Misinterpretation Misinterpretation 10 OA.3 Miscalculations Miscalculation of pattern Misinterpretation of question 11 OA.3 Misinterpretation of Questions Miscalculation Patterning error 12 OA.3 Miscalculations Miscalculation Miscalculation of pattern 13 OA.3 Fills in first box Adds 4 Adds OA.3 Fills in first box Adds 4 Misunderstanding of table 15 OA.3 Only 1 st column used Only 1 st column used Miscalculation 16 OA.3 Uses first two numbers on x Reverses x & y Uses first two numbers on y 17 OA.3 Uses numbers on x line Uses numbers on y line Uses consecutive numbers on y 18 OA.3 Reverses x & Y axis Misplacement of pairs Uses only Y-axis numbers

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