G5 U10 Constructed Response

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Name: ________________________________________ Date:_______________

Grade 5 Unit 10 Constructed Response Graphing TASK 1: Plot Ordered Pairs to Form Shapes (MC: 5.G.1; MP: 1, 4, 5, 6, 7, 8) 1. a. List the coordinates for the given points. A _________ C _________ D _________ F _________

25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0

C

F

A

D

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

b. Plot and label these points on the coordinate grid. B (13, 23)

E (2, 2)

G (13, 14)

c. Connect the points in alphabetical order. Name the polygons.

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2.

25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

a. Plot and name three points to form a triangle on the coordinate grid. List the names and their coordinates.

b. Connect the three points. Name the type of triangle formed.

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Name: ________________________________________ Date:_______________

Grade 5 Unit 10 Constructed Response Graphing TASK 2: Find Start and End Points on a Coordinate Grid (MC: 5.G.1, 5.G.2; MP: 1, 2, 3, 4, 5, 6, 7, 8) 3. Use the map to answer the questions. 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0

SUBWAY ENTRANCE

BARBER SHOP

BAKERY

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

a. Mark the location of the bus stop which is 7 units to the right and 4 units up from the origin. Name the coordinates. _________________ b. A tourist left the hotel and walked 6 units to the left and 2 units down to get to the subway entrance. Mark the location of the hotel on the map. Name the coordinates. _________________ c. How would someone get from the barber shop to the bakery?

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4. Vi had a lovely Saturday afternoon riding her bike around her neighborhood. Use the coordinate grid to mark her path. a. Vi left home and went 8 blocks west and 2 blocks south to her friend Zelda’s house. Mark this point on the map. List the coordinates. _________________

14 13 12 11 10 9 8 7 6 5 4 3 2 1 0

VI’S HOME

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

b. Vi and Zelda rode their bikes 10 blocks north and 3 blocks west to the ice cream shop. Mark this point on the map. List the coordinates. _________________

c. Next the girls rode 8 blocks east and 2 blocks north to the baseball field to watch their friends’ game. Mark this point on the map. List the coordinates. _________________

d. When the game was over, each girl rode her bike home. Vi thinks the path formed by her bike makes the shape of a rhombus. Is she correct? Explain.

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Name: ________________________________________ Date:_______________

Grade 5 Unit 10 Constructed Response Graphing TASK 3: Graph and Analyze Numerical Patterns (MC: 5.OA.3; MP: 1, 2, 4, 5, 6, 7, 8) 5. a. Create two sequences of numbers. Both start at zero, but the x rule is add four and the y rule is add six.

X Rule: +4

Y Rule: +6

0

0

b. Describe the relationship between the corresponding terms by analyzing the numerical patterns.

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c. Using the patterns from question 5a, list the corresponding terms as ordered pairs and graph them on the coordinate grid. Ordered Pairs:

50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50

d. What will be the next coordinates?

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6. On her 8th birthday, Jennifer’s parents gave her six Sacagawea golden dollar coins. Her parents will give her three golden dollars every birthday until the number of golden dollars she owns is twice her age. a. Define the rules for Jennifer’s age and number of golden dollars in the table. Complete the table to show the number of golden dollars Jennifer will have on each birthday. Jennifer’s Age

8

Rule: Number of Golden Dollars

Rule:

6

Number of Golden Dollars

b. Graph the corresponding terms as ordered pairs on the coordinate grid. 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Jennifer’s Age

c. How old will Jennifer be when the number of golden dollars she owns is twice her age? Copyright © Swun Math Grade 5 Unit 10 Constructed Response, Task 3, Page 7