# Math For Educator

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When Alison and Pamela play chess, Alison wins 60% of the time. If they play a best-3-of-5 series, how many games would you expect to be played before a winner is determined? Use the random digits below which were generated using the command Int(5 × Rand) + 1 on a graphing calculator. Let the digits 1-3 represent a win for Alison and the digits 4 and 5 represent a win for Pamela. Each string of random digits was terminated once a winner had been determined.

A)

4.5

B)

3.9

C)

3.6

D)

4.2

• Math For Educator -

When Alison and Pamela play chess, Alison wins 60% of the time. If they play a best-3-of-5 series, how many games would you expect to be played before a winner is determined? Use the random digits below which were generated using the command Int(5 × Rand) + 1 on a graphing calculator. Let the digits 1-3 represent a win for Alison and the digits 4 and 5 represent a win for Pamela. Each string of random digits was terminated once a winner had been determined.

• Math For Educator -

When Alison and Pamela play chess, Alison wins 60% of the time. If they play a best-3-of-5 series, how many games would you expect to be played before a winner is determined? Use the random digits below which were generated using the command Int(5 × Rand) + 1 on a graphing calculator. Let the digits 1-3 represent a win for Alison and the digits 4 and 5 represent a win for Pamela. Each string of random digits was terminated once a winner had been determined.

1 4 2 5 3
1 1 5 2
5 2 4 1 2
2 2 1
2 5 4 1 5
4 2 3 2
1 5 5 2 4
2 1 4 2
2 3 5 1
4 2 5 5
1 4 2 5 3
3 2 1
4 3 5 2 2
3 5 1 1
5 4 5

• Math For Educator -

Identify the specified angles.

4)

All pairs of corresponding angles

4)

_______

A)

Ú4 and Ú2, Ú5 and Ú7, Ú3 and Ú1, Ú6 and Ú8

B)

Ú4 and Ú8, Ú5 and Ú1, Ú3 and Ú7, Ú6 and Ú2

C)

Ú3, Ú2 , Ú7, and Ú6

D)

Ú4 and Ú1, Ú3 and Ú2, Ú5 and Ú8, Ú6 and Ú7

• Math For Educator -

If the triangles are similar, write a similarity statement and give a reason why they are similar. If you cannot confirm that the triangles are similar, indicate "Not necessarily similar."

9)

9)

_______

A)

¢ABC ~ ¢DEF, SAS Similarity Theorem

B)

¢ABC ~ ¢DEF, Right Triangle Similarity Theorem

C)

¢ABC ~ ¢DEF, AA Similarity Postulate

D)

Not necessarily similar

• Math For Educator -

Find the area of the specified figure.

10)

¢ABC

10)

______

A)

35 square units

B)

70 square units

C)

80 square units

D)

40 square

• Math For Educator -

Use the properties of parallel lines to solve the problem.

11)

If p ðF q and mÚ8 = 52‹, what are the measures of the other angles?

11)

______

A)

mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 38‹

B)

mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 128‹

C)

mÚ5 = mÚ6 = mÚ7 = 52‹, mÚ1 = mÚ2 = mÚ3 = mÚ4 = 128‹

D)

mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 138‹

• Math For Educator -

Given the floor plan, determine whether a person could traverse through each unit by passing through each door only once.

12)

12)

______

A)

Yes

B)

No

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