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© Amy Harrison, 2015. 1

• Print pages 5-6.

• Make copies for your class.

Are you in a hurry?

© Amy Harrison, 2015. 3

Table of Contents Cover: Approximating Square Roots to the Nearest Whole Number– MAZE Activity 1

Ad 2

Table of Contents 3

How Does This Work? – Steps – Answer key for the 3x3 student worksheet option 4

Student Worksheet: How Does This Work? – 3x3 maze – 2 to a page 5

Student Worksheet: Approximating Square Roots to the Nearest Whole Number (7x5) Maze 6

Student Worksheet Option: Approximating Square Roots to the Nearest Whole Number– Workspace for Maze 7

Answer Key: Approximating Square Roots to the Whole Number (7x5) Maze – Option 1 – Red Boxes – Letters – Red Arrows 8

Answer Key: Approximating Square Roots to the Whole Number (7x5) Maze – Option 2 – Red Arrows, Yellow Boxes 9

Answer Key: Approximating Square Roots to the Nearest Whole Number(7x5) Maze– Option 3 – Red Arrows, Black and White Boxes – Extra Questions/Answer Options Deleted 10

Answer Key : Approximating Square Roots to the Nearest Whole Number – Workspace for Maze 11

Student Worksheet: Blank Maze Activity – with start and finish box • Make your own puzzle by writing in questions and answers • Encourage early finishers to create their own puzzle. If it is good, you could use it in class the following

week.

12

Student Worksheet: Blank Maze Activity – no start and finish boxes • Make your own puzzle by writing in questions and answers • Encourage early finishers to create their own puzzle. If it is good, you could use it in class the following

week.

13

Ad 14

Thank You and Author Information 15

© Amy Harrison, 2015. 4

How Does This Work?

1. Begin on the “Start” square. Solve the problem. Approximate the square root to the nearest whole number.

2. Once you have your answer, look at the paths around the square to find it.

3. Follow the path to the next square.

4. Continue this process until you reach the finish.

Approximate each square root to the nearest whole number.

Steps: Start

Finish!

18

141

58 93

365 315

106 70

4

5 8 6

7

15

18

8 19 12 13

9

10

10

Start

10

5

Approximating Square Roots to the Nearest Whole Number– Maze Activity Date _______________ Period ______ Name _____________________________________

Directions: Approximate each square root to the nearest whole number.

How Does This Work? 1. Begin on the “Start” square. Solve the problem. Approximate each

square root to the nearest whole number. 2. Once you have your answer, look at the paths around the square to

find your answer.

3. Follow the path to the next square.

4. Continue this process until you reach the finish.

Date _______________ Period ______ Name _____________________________________

Directions: Approximate each square root to the nearest whole number.

How Does This Work? 1. Begin on the “Start” square. Solve the problem. Approximate each

square root to the nearest whole number. 2. Once you have your answer, look at the paths around the square to

find your answer.

3. Follow the path to the next square.

4. Continue this process until you reach the finish.

Approximating Square Roots to the Nearest Whole Number– Maze Activity

Start

Finish!

18

141

58 93

365 315

106 70

4

5 8 6

7

15

18

8 19 12 13

10 9

10

10

Start Start

Finish!

18

141

58 93

365 315

106 70

4

5 8 6

7

15

18

8 19 12 13

10 9

10

10

Start

© Amy Harrison, 2015. © Amy Harrison, 2015.

13

Start

Finish Finish Finish!

41 18

154

58

250

285 3

325

30 6 85

80 295

130 20

111

77 206 330

390

53 23

59

7 6

5 6

9

2

18

6

10

6 5 2 12

16

17

14

8

4

15

9

16

17

8

6

12 9

7

11

5

6

10

14

8 14

18

19

15

5

8

10

22 8

96 13 290 350

108

32 195 7

12 3 8 18 7 6 9 17 9

17 11 15 15

7 4 9 12 17

16

5 13 16 18 18 12 20

10 18 19 17 17

7 2 10 11 15 10

5 3

Period __________ Date _______________________________ Name __________________________________________________________________

© Amy Harrison, 2015.

Approximating Square Roots Solve the problem in the “start” square. Approximate each square root to the nearest whole number. Use your answer to follow the path to the next square. Continue until you reach the finish.

6

3

185 260

Period __________ Date _______________________________ Name __________________________________________________________________ Approximating Square Roots: Approximate each square root to the nearest whole number.

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. 26. 27. 28.

29. 30. 31. 32. 33. 34.

© Amy Harrison, 2015. 7

41 18 77 206 330 22 8

154 111 390 96 13 290 350

58 285 3 185 130 20 260

250 325 80 295 53 23 108

30 6 85 59 32 195

Start

Finish Finish Finish!

41 18

154

58

250

285 3

325

30 6 85

80

295

185 130 20

111

77 206 330

390

260

53 23

59

7 6

5

9 6

10

12

16

14

8

15

9

16

17

8

6

12

7

5

6

10

8

19

15

10

22 8

96 13

290 350

108

32

195 7

12 3 8 18 6 9 17 9

17 11 15 15

7 4 9 12 13 17

16

5 13 16 18 18 12 20

18 19 17 17

7 2 10 11 15 10

5

Period __________ Date _______________________________ Name __________________________________________________________________

© Amy Harrison, 2015.

Approximating Square Roots Solve the problem in the “start” square. Approximate each square root to the nearest whole number. Use your answer to follow the path to the next square. Continue until you reach the finish.

8

3

Answer Key

6

10 4

3

9

14

18

14 11 17

2

18

6 5 2

5

8 7

A

B C D

E

F

G

H

I

J

K L

M

N

O P

Q

R S T U

V

W

X

Y

Start

Finish Finish Finish!

41 18

154

58

250

285 3

325

30 6 85

80

295

185 130 20

111

77 206 330

390

260

53 23

59

7 6

5 6

9 6

10

6 5 2 12

16

17

14

8

4

15

9

16

17

8

6

12 9

7

11

5

6

10

14

8 14

19

15

5

8

10

22 8

96 13

290 350

108

32

195 7

12 3 8 18 7 6 9 17 9

17 11 15 15

7 4 9 12 13 17

16

5 13 16 18 18 12 20

10 18 19 17 17

7 2 10 11 15 10

5 3

Period __________ Date _______________________________ Name __________________________________________________________________

© Amy Harrison, 2015.

Approximating Square Roots Solve the problem in the “start” square. Approximate each square root to the nearest whole number. Use your answer to follow the path to the next square. Continue until you reach the finish.

9

3 18

2

18

Answer Key

Start

Finish Finish Finish!

41

154

250

285 3

325

30 6 85

295

185 130 20

111

77 206 330

390

53 23

59

16

12

8

96 13

32

9 17

4

20

11

3

Period __________ Date _______________________________ Name __________________________________________________________________

© Amy Harrison, 2015.

Approximating Square Roots Solve the problem in the “start” square. Approximate each square root to the nearest whole number. Use your answer to follow the path to the next square. Continue until you reach the finish.

10

Answer Key

6

10 4

9

14

18

14 11 17

2

18

6 5 2

8

5

7

Period __________ Date _______________________________ Name __________________________________________________________________ Approximating Square Roots: Approximate each square root to the nearest whole number.

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. 26. 27. 28.

29. 30. 31. 32. 33. 34.

© Amy Harrison, 2015. 11

41 ≈ 6 18 ≈ 4 77 ≈ 9 206 ≈ 14 330 ≈ 18 22 ≈ 5 8 ≈ 3

154 ≈ 12 111 ≈ 11 390 ≈ 20 96 ≈ 10 13 ≈ 4 290 ≈ 17 350 ≈ 19

58 ≈ 8 285 ≈ 17 3 ≈ 2 185 ≈ 14 130 ≈ 11 20 ≈ 4 260 ≈ 16

250 ≈ 16 325 ≈ 18 80 ≈ 9 295 ≈ 17 53 ≈ 7 23 ≈ 5 108 ≈ 10

Answer Key

6

36 < 41 < 49 16 < 18 < 25 16 < 22 < 25 4 < 8 < 9 64 < 77 < 81 196 < 206 < 225 324 < 330 < 361

81 < 96 < 100 9 < 13 < 16 144 < 154 < 169 289 < 290 < 324 100 < 111 < 121 324 < 350 < 361 361 < 390 < 400

1 < 3 < 4 256 < 285 < 289 49 < 58 < 64 16 < 20 < 25 121 < 130 < 144 169 < 185 < 196 256 < 260 < 289

324 < 325 < 361 100 < 108 < 121 225 < 250 < 256 64 < 80 < 81 289 < 295 < 324 16 < 23 < 25 49 < 53 < 64

5 3 9 14 18

10 4 12 17 11 19 20

2 17 8 4 11 14 16

18 10 16 9 17 5 7

6 5 2 9 14 8

5 spaces 8 spaces

6 7 4

2 spaces 7 spaces

4 5

6 spaces 3 spaces

4 5

4 spaces 1 space

2 3

13 spaces

4 spaces

8 9

10 spaces

19 spaces

14 15

6 spaces 31 spaces

18 19

15 spaces

4 spaces

9 10

4 spaces 3 spaces

3 4

10 spaces 15 spaces

12 13

1 space 34 spaces

17 18

11 spaces 10 spaces

10 11

26 spaces 11 spaces

18 19

29 spaces 10 spaces

19 20

2 spaces

1 space

1 2

29 spaces

4 spaces

16 17

9 spaces 6 spaces

7 8

4 spaces 5 spaces

4 5

9 spaces 14 spaces

11 12

16 spaces 11 spaces

13 14

4 spaces 29 spaces

16 17

1 space 36 spaces

18 19

8 spaces 13 spaces

10 11

25 spaces 6 spaces

15 16

16 spaces 1 space

8 9

6 spaces 29 spaces

17 18

7 spaces 2 spaces

4 5

4 spaces 11 spaces

7 8

30 ≈ 5 6 ≈ 2 85 ≈ 9 59 ≈ 8 32 ≈ 6 195 ≈ 14

25 < 32 < 36 25 < 30 < 36 4 < 6 < 9 81 < 85 < 100 169 < 195 < 196 49 < 59 < 64

7 spaces 4 spaces

5 6

5 spaces 6 spaces

5 6

2 spaces

3 spaces

2 3

4 spaces 15 spaces

9 10

26 spaces 1 space

13 14

10 spaces 5 spaces

7 8

© Amy Harrison, 2015. 12

Period __________ Date _______________________________ Name __________________________________________________________________

Finish Finish

Start

Finish!

Finish Finish

© Amy Harrison, 2015. 13

Period __________ Date _______________________________ Name __________________________________________________________________

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