Sample 7th Grade Lesson Cycle

Sample

7 th

Grade

Lesson Cycle

Teamwork Questions and Answers

Name

Team Mastery

1) You put the names of all the students in your class today in a hat. a. What is the total number of favorable outcomes for selecting a girl’s name? b. What is the probability of selecting a girl’s name? c. What is the probability of not selecting a girl’s name? d. What is the probability of selecting a name?

2) You have a bag of marbles with 5 green marbles, 3 red marbles, 4 yellow marbles, and 6 blue marbles. a. What is the total number of outcomes for selecting a marble? b. What is the probability of selecting a green or yellow marble? c. What is the probability of selecting not a green or yellow marble? d. What is the probability of selecting a white marble?

3) There are 22 mint candies and 14 chocolate candies in a bag. a. What is the total number of possible outcomes for selecting a candy? b. What is the probability of selecting a chocolate candy?

PowerTeaching: i3

© 2012 Success for All Foundation

Level G Unit 11 Cycle 1 Lesson 1

Teamwork Questions and Answers 1

c. What is the probability of selecting not a chocolate candy? d. What is the probability of selecting a lemon candy?

4) a. List the favorable outcomes of spinning a number.

b. What is the probability of selecting an even number on the spinner? c. What is the probability of selecting not an even number? d. What is the probability of selecting a 2?

5) You have a playlist set to play songs randomly with 4 reggae songs, 2 rock songs, and 4 pop songs. a. List the possible outcomes for listening to non-reggae songs. b. What is the probability of your playlist playing a non-reggae song? c. What is the probability of your playlist playing a reggae song? d. What is the probability of your playlist playing a song?

6) You have a dodecahedron numbered 1–12. a. List the favorable outcomes of rolling a double digit number. b. What is the probability of rolling a double digit number?


2 © 2012 Success for All Foundation


Teamwork Questions and Answers

c. What is the probability of not rolling a double digit number? d. What is the probability of rolling an 8, 9, 11, or 12?

Challenge

7) Laura has a bag of orange, pink, and clear marbles. She knows the following information:

•

There are 12 clear marbles in the bag.

2

•

The probability of selecting pink is

7

.

•

The probability of selecting orange is

3

7

.

How many marbles are there in all in the bag?





Team Mastery Answer Sheet

1) Answers for questions a.–c. are possible answers depending on class make up. d. 1

2) a. 18 b.

1

2

1 c.

2 d. 0

3) a. 36 b.

7

18 c.

11

18 d. 0

4) a. 1, 1, 2, 2, 2, 3, 4, 4 b.

c.

3

8

5

8

d.

3

8

5) a. rock, rock, pop, pop, pop, pop b.

3

5 c.

2

5

d. 1

7) There are 42 marbles in the bag.

6) a. 10, 11, 12 b. c. d.

1

4

3

4

1

3





Quick Check

Name

You have a decahedron numbered 1–10. a. What is the total number of outcomes for rolling the decahedron? b. What is the probability of rolling an odd number? c. What is the probability of rolling a number that is not odd? d. What is the probability of rolling a number?




Quick Check

Homework Problems

Name

Team Name Team Complete?

Team Did Not Agree On

Questions…

Quick Look

Today we found the probability of different events. Here’s an example!

Probability = number of favorable events

number of possible outcomes

#’s

The probability of spinning an A or D is

3 .

5

This is because:

There are 3 favorable outcomes: A, A, D.

There are 5 possible outcomes: A, A, B, C, D.

The probability of spinning a letter is 1.

This is a certain event because

5

5

= 1.

The probability of spinning a number is 0.

This is an impossible event because

0

5

= 0.

The probability spinning an A is

2

5

.

The probability of not spinning an A is

3

5

.

Finding the probability of NOT spinning an A, is finding the probability of the complement of the event of spinning an A.

1) Diego has a bag containing 13 baseball cards for New York Yankee ball players and 8 baseball cards for Detroit Tigers ball players. a. What is the total number of outcomes for picking a card out of the bag?




Homework Problems 1

b. What is the probability of picking a baseball card for a Detroit Tiger player from the bag? c. What is the probability of not picking a Detroit Tiger baseball card from the bag? d What is the probability of picking a baseball card for a New York Yankee player from the bag?

2) You have a number cube numbered 1–6. a. List the favorable outcomes for rolling an odd number. b. What is the probability of rolling an odd number? c. What is the probability of not rolling an odd number? d. What is the probability of rolling a 6?

3) Rita has a bag containing 8 gumdrops, 5 spearmint drops, and 6 chocolate drops. a. What is the total number of outcomes for selecting a candy? b. What is the probability of picking a chocolate drop? c. What is the probability of not picking a chocolate drop? d. What is the probability of picking a gumdrop?

2




Homework Problems

4) There are 32 red marbles and 57 blue marbles in a bag. a. What is the total number of favorable outcomes for selecting a red marble? b. What is the probability of selecting a red marble out of the bag? c. What is the probability of selecting a not red marble out of the bag? d. What is the probability of selecting a marble out of the bag?

Mixed Practice

5) Gina’s lunch bill was $12.50. She left an

18% tip. How much did she pay in all?

6) What value of n will make this a proportion?

4

14

= n

35

8) Find the surface area. 7) Divide.

–

43 ÷ 5

Word Problem

9) Your friend has a number cube numbered 1–6. Is the probability of rolling a 3 the same as the probability of rolling a 6? Explain your thinking.




Homework Problems 3

For the Guide on the Side

Today your student found the probability of simple events and wrote them as fractions. Probability is the chance of an event occurring. To find the probability of an event, your student first found the number of possible outcomes , or results of performing an experiment. Then your student found the number of favorable events.

Probability = number of favorable events number of possible outcomes

That means the probability of rolling a number greater than 7 on a dodecahedron numbered 1–12 is

5

12

.

Your student also found the probability of the complement of an event. The complement of an event is the collection of outcomes not contained in the event. The sum of the probabilities of an event and its complement is 1.

So the probability of rolling a number that is not greater than 7 is 1 –

5

12

=

7

12

.

Today your student was introduced to probability. In this cycle, your student will learn to write the probability of events as decimals and percents and will be able to explain how likely an event is to occur.

Later, your student will work with probability models and explore how to use probability to make predictions about real-life events.

Your student should be able to answer these questions about probability:

1) Describe the event in this situation.

2) List the possible outcomes. How many are there?

3) List the favorable outcomes. How many are there?

4) What is the complement of this event?

5) Explain what will happen when you roll the number cube/spin the spinner.

Here are some ideas to work with probability:

1) Place a number of objects in a bag. Can you write probabilities for different events?

2) Watch a video from Khan Academy: https://www.khanacademy.org/math/probability/independentdependent-probability/basic_probability/v/events-and-outcomes-1

3) That Quiz: “Probability” http://www.thatquiz.org/tq-d/?-l1-nu-p0

4) Assistments: Simple

Probability http://www.assistments.org/public_preview/link/dHlwZT1zZXF1ZW5jZSZpZD04NTg1

4




Homework Problems

Homework Answers

1) a. 21 b.

8

21 c. d.

13

21

13

21

2) a. 1, 3, 5

b.

3

6

or

1

2

c.

d.

3

6

1

or

2

1

6

3) a. 19 b.

c.

6

19

13

19 d.

8

19

4) a. 32

b.

32

89

57

c.

89

d. 1

Mixed Practice

5) $14.75

7)

–

8.6

6) n = 10

8) 653.5 cm

2

Word Problem

9) Yes, the probability of rolling a 3 is the same as the probability of rolling a 6.

Possible explanation: Probability is the number of favorable outcomes out of a total number of outcomes. In both events, the number of favorable outcomes is 1 and the total number of outcomes is 6, so rolling each number on the number cube has a probability of

1

6

.




Homework Problems 5


Name

Team Mastery

1) A dart is thrown randomly at this board. Estimate the probability of throwing each as a decimal. a. P(Y) b. P(X or Y) c. P(not X)

2) There is a

42

50

chance of snow in the next week. Write the chance of snow as a percent.

3) Write the probability of spinning each as a decimal. a. P(not 15) b. P(5) c. P(10 and 15)

5

4) In the skyscraper, Deborah has

36 chance of selecting a floor that has a restaurant on it. Write her chances of selecting a floor with a restaurant as a percent.





5) Estimate the probability of spinning each as a decimal. a. P(not W) b. P(Z) c. P(Y and V)

6) You have a decahedron numbered 1–10. Write the probability of rolling each as a percent. a. P(not 9 or 10) b. P(1, 3, or 5) c. P(8)

7) Estimate the probability of spinning each as a percent. a. P(L) b. P(not J) c. P(M and N)

8) Cara has a

1

7 chance of picking a black belt from her drawer. Write her chance of picking a black belt as a decimal.





9) You have a tetrahedron with sides numbered 1–4. Write the probability of rolling each as a percent. a. P(3) b. P(1, 3, or 4) c. P(not 3)

Challenge

10) Ade said that if a dart is thrown at random, it has a 50% chance of hitting one of the rectangles. Is his thinking correct? Explain your thinking.






1) Possible answers: a. 0.125 b. 0.375 c. 0.75

2) 84%

3) a. 0.5 b. 0.333 c. 0.667

4) 13.9%

5) Possible answers: a. 0.9 b. 0.2 c. 0.3

6) a. 80% b. 30% c. 10%

7) Possible answers: a. 20% b. 60% c. 30%

8) 0.143

9) a. 25% b. 75% c. 75%

10) Ade is not correct.

Possible explanation: The area of all the rectangles is 20.25 ft

2

and the area of the entire board is

48 ft

2

. That means the probability or chance of hitting a rectangle is

20.25

48

= 42.1875%.





Quick Check

Name

You have a dodecahedron numbered 1–12.

Write the probability of rolling each as a decimal and as a percent. a. P(10) b. P(not 3 or 7)



Quick Check


Quick Check

Name

You have a dodecahedron numbered 1–12.

Write the probability of rolling each as a decimal and as a percent. a. P(10) b. P(not 3 or 7)




Quick Check


Name



Questions…

#’s

Quick Look

Today we wrote the probability of events as decimals and percents. Here’s an example!

You have a fair octahedron numbered 1–8. Find P(2) when you roll the octahedron once.

P(2) means the probability of 2.

1

So P(2) =

8

= 0.125 = 12.5%

We can also estimate the probability!

Find P(A) when you spin the spinner once.

1

A takes up about

4

of the spinner.

1

So spinning an A has a probability of about

4

, which equals

0.25 or 25%.

1) Estimate each probability of spinning the spinner as a percent. a. P(E) b. P(B or D) c. P(not A)




Homework Problems 1

3

2) Jessica has

16

chance of winning a prize in the art contest. Write her chances of winning a prize as a decimal.

3) You have an octahedron numbered 1–8. Write the probability of rolling each as a decimal. a. P(5 or 6) b. P(8) c. P(not 6)

4) There is a

11

30 chance of rain today. Write the probability as a percent.

5) You have a bag that contains tiles with the letters: A, B, C, D, E, F, G, H, J, and K. Write the probability of pulling each as a percent. a. P(J) b. P(A, B, or C) c. P(not K)

2




Homework Problems

6) Estimate each probability of spinning the spinner as a decimal. a. P(B)

b. P(A)

c. P(not B)

Mixed Practice

7) Solve. g – 32 > 44

8) Find the volume.

9) You have a fair number cube numbered 1–6. List the favorable outcomes of rolling an even number.

1

10) Mrs. Kelly walks 0.6 miles in

8

hour. Write her walking rate as miles per hour.

Word Problem

11) Mariah has 12 socks in her drawer: 8 white and 4 blue. Write the chances of pulling out 1 blue sock as a percent.




Homework Problems 3


Today your student wrote the probability of an event as a decimal and percent. He or she found the probability of en event by writing a fraction and then converted the fraction to a percent or decimal. The fraction is helpful because it gives information about the original situation. Writing the probability as a percent, however, is more common because it allows for easy comparison between probabilities. Your student also practiced estimating probabilities. In the next lesson, your student will describe how likely an event is to occur.

Your student should be able to answer these questions about writing probabilities as decimals and percents:

1) Describe the event in this situation.

2) When you write probability as a fraction, what does the numerator tell you? What does the denominator tell you?

3) What is the complement of this event?

4) An event and the complement of that event will add to what percent? How do you know?

Here are some ideas to work with probabilities as decimals and percents:

1) Place a number of objects in a bag. Can you write probabilities for different events as decimals and percents?

2) Watch a video from Khan Academy. https://www.khanacademy.org/math/probability/independentdependent-probability/basic_probability/v/events-and-outcomes-1

3) That Quiz: “Probability” http://www.thatquiz.org/tq-d/?-l1-nu-p0

4) Assistments: Simple Probability http://www.assistments.org/public_preview/link/dHlwZT1zZXF1ZW5jZSZpZD04NTg1

4




Homework Problems


1) Possible answers: a. 33% b. 20% c. 90%

2) 0.1875

3) a. 0.25 b. 0.125 c. 0.875

4) 36.7%

5) a. 10% b. 30% c. 90%

6) Possible answers: a. 0.333

b. 0.25

c. 0.667

Mixed Practice

7) g > 76

8) 183.783 m

3

9) 2, 4, 6

10) 4.8 miles per hour (mph)

Word Problem

11) Mariah has a 33.33% chance of pulling out a blue sock.




Homework Problems 5


Name

Team Mastery

1) a. Describe an event that is likely to happen. Explain your thinking. b. Write a percent to represent the probability of the event you described.

2) You see the following birds at your backyard bird feeder on a winter morning: 3 cardinals, 2 juncos,

5 starlings, and 1 sparrow. a. Write the probability as a percent.

P(cardinal or starling) b. Describe the likelihood of seeing a cardinal or starling on a typical winter morning as impossible, unlikely, equally likely, likely, or certain.

3) A number cube has the following numbers on it: 1, 4, 6, 12, 15, and 20. Which event is less likely,

P(even) or P(less than 10)? Explain your thinking.

4) There is a 1% chance that Tony will be called on during his college lecture today. Describe the likelihood that Tony will be called on as impossible, unlikely, equally likely, likely, or certain.

Explain your thinking.





5) You have a number cube with sides numbered 1–6. a. Write the probability as a decimal.

P(single digit) b. Describe the likelihood of rolling a two digit number as impossible, unlikely, equally likely, likely, or certain. Explain your thinking.

6) You have a decahedron numbered 1–10. a. Describe an event that is impossible to happen. b. Write a fraction to represent the probability of the event you described.

7) There is a 0.5 chance that that it will rain today. Describe the likelihood that it will rain as impossible, unlikely, equally likely, likely, or certain.

8) The sides of an octahedron are numbered 1–8. Which is more likely to happen, P(odd) or P(numbers 3–8)?

Challenge

9) You have an icosahedron numbered 1–20. List these events from least likely to most likely.

P(prime)

P(not multiple of 2)

P(multiple of 5)

P(not 0)

P(GCF of 12 and 45)

P(5 or 6)

P(factor of 16)






1) Possible answers : a. It is likely for the spinner to land on a number greater than 2.

Possible explanation : There are 7 possible outcomes for spinning the spinner, so for an event to

4 be likely to happen, or more of the events must be favorable. To spin a number greater than 2,

7 there are 5 favorable outcomes. b. 71.4%

2) a. 72.7% b. Likely

3) P(less than 10) is less likely.

Possible explanation: To find which event was less likely, I found the probability of each event.

4 3

P(even) = and P(less than 10) =

6 6

P(less than 10) is less likely to occur.

3

. Because

6

is closer to 0 on the number line than

4

6

,

4) Unlikely.

Possible explanation : Tony’s chance of being called on is 1%. 1% = 0.01 and falls between 0 and 0.5.

Events that fall between 0 and 0.5 are unlikely to occur.

5) a. 1.00 b. It is certain to roll a single digit number.

Possible explanation : All of the numbers on a number cube numbered 1–6 are single-digit numbers. So I am certain to roll a single digit number. Also, I know that 1.00 = 100% which describes a certain event.

6) Possible answers: a. It is impossible to roll a number 11 or greater. b.

0

10

7) It is equally likely that it will rain and not rain today.

8) P(3 through 8) is more likely.

9) P(GCF of 12 and 45), P(5 or 6), P(multiple of 5), P(factor of 16), P(prime), P(not multiple of 2),

P(not 0)





Quick Check

Name

You have the following letters in a bag: M, I, S, S, I, S, S, I, P, P, I. a. Write the probability of as a decimal.

P(S) b. Describe the likelihood of selecting an S out of the bag as impossible, unlikely, equally likely, likely, or certain. Explain your thinking.



Quick Check


Quick Check

Name

You have the following letters in a bag: M, I, S, S, I, S, S, I, P, P, I. a. Write the probability of as a decimal.

P(S) b. Describe the likelihood of selecting an S out of the bag as impossible, unlikely, equally likely, likely, or certain. Explain your thinking.




Quick Check


Name



#’s

Quick Look

Today we described the probability of an event. Here is an example!

If you have a number cube numbered 1–6, then the following probabilities are:

1

P(1) =

6

P(even) =

1

2

P(greater than 2) =

Now, let’s compare these probabilities on a number line.

2

3

Questions…

The closer a probability is to 1, the more likely it is to occur. That means out of the three events described above, you are most likely to roll a number greater than 2!

1) You have a bag with 2 red marbles, 10 blue marbles, and 1 white marble. a. Describe an event that is impossible to happen.




Homework Problems 1

b. Write a percent to represent the probability of the event you described. Explain your thinking.

2)

Which event is more likely, P(A) or P(B)? Explain your thinking.

3) Due to the bus drivers’ strike, there is an 80% chance that Amanda will be late for school today.

Describe the likelihood that Amanda will be late as impossible, unlikely, equally likely, likely, or certain. Explain your thinking.

4) You have an octahedron with sides numbered 1–8. a. Write the P(even) as a fraction. b. Describe the likelihood of rolling an even number as impossible, unlikely, equally likely, likely, or certain. Explain your thinking.

2




Homework Problems

Mixed Practice

5) Use the scale drawing to find the actual perimeter of the artwork.

6) Estimate the probability as percent.

P(not Y)

7) Solve. Classify the solution as: natural number, whole number, integer, rational number.

(Use all that apply.)

0.4 • 1.9 =

8) There are 3 cherry popsicles, 1 lime popsicle, and 2 orange popsicles in a box. List the favorable outcomes for selecting an orange popsicle randomly from the box.

Word Problem

1

9) Ms. Neww has some scented erasers in a basket.

5

2

smell like strawberry,

5

smell like grape,

1

5

1

smell like vanilla, and

5

smell like bubble gum. If she pulls out one eraser, which scent is she most likely to pull out? Is this event impossible, unlikely, equally likely, likely, or certain?

Explain your thinking.




Homework Problems 3


Today your student used words to describe probability. Probability is a measure on a scale from

0 (impossible) to 1 (certain) with 0.5 (neither likely nor unlikely) in the middle. If an event has a probability between 0 and 0.5, it is unlikely to occur. If an event has a probability between 0.5 and 1 it is likely to occur.

Comparing probability on a number line also helped your student determine which events were more and less likely to occur. The closer a probability is to 1 on the number line, the more likely it is to occur. In the next cycle, your student will test out events and compare his or her results to the results they predicted.

Your student should be able to answer these questions about naming probability:

1) Explain how you described the probability of this event in words.

2) Name an event that is impossible to occur and an event that is certain to occur.

3) Describe the probability of this event. What is an event that is more/less likely to occur?

4) What is the complement of this event? Describe the probability of the complement.

5) Is the complement of an unlikely event always likely? How do you know?

Here are some idea to work with naming probability:

1) Name some events in your life that are certain, likely, equally likely, unlikely, and impossible.

Can you write or estimate a probability to describe them?

2) Listen for the words we used to talk about probability in your everyday life. You might be surprised to hear them in conversation, on the T.V., and on the Internet. Make a list of some examples. Do they describe the probability of an event?

3) Watch a video from Khan Academy: https://www.khanacademy.org/math/probability/independent-dependentprobability/basic_probability/v/events-and-outcomes-1

4) Practice probability problems in the Internet:

That Quiz: “Probability” http://www.thatquiz.org/tg-d/?-l1-nu-p0

Assistments: Simple Probability http://www.assistments.org/public_preview/link/dHlwZTlzZXF1ZW5jZSZpZD04NTg1

4




Homework Problems


1) a. Possible answer: An impossible event is picking a green marble from the bag. b . 0 %

0

Possible explanation : There are no green marbles in the bag so P(green marble) =

13

= 0 = 0%.

2) P(B)

Possible explanation : P(A) = 0.125 and P(B) = 0.25. On a number line 0.25 is closer to 1 than 0.125, so P(B) is more likely to occur than P(A).

3) It is likely that Amanda will be late to school.

Possible explanation : Amanda’s chance of being late is 80%. 80% = 0.8 and falls between 0.5 and 1.

Events that fall between 0.5 and 1 are likely to occur.

4) a.

4 1

or

2 8 b. Equally likely.

1

Possible explanation : A probability of

2

= 0.5. A probability of 0.5 is exactly between 0 and 1 on the number line, so it is equally likely to occur.

Mixed Practice

5) 4.25 feet

6) Possible answer : 65%

7) 0.75; rational number

8) orange, orange

Word Problem

9) Ms. Neww is most likely to pull out a grape eraser, but the probability of selecting grape is unlikely.

Possible explanation : Ms. Neww is most likely to pull out a grape eraser because it has the highest probability. P(grape) = 0.4, P(strawberry) = 0.2, P(vanilla) = 0.2, and P(bubble gum) = 0.2. Even though grape has the highest probability, the event of pulling out a grape scented eraser is still an unlikely event because its probability is between 0 and 0.5.




Homework Problems 5

Cycle Check

Name

1) There are 3 cherry candies and 2 grape candies in a bag. a. List the possible outcomes for selecting one piece of candy out of the bag b. Write the probability of selecting a cherry candy as a fraction. c. Write the probability of selecting not a cherry candy as a fraction. d. Write the probability of selecting an orange candy as a fraction.

2) You are spinning a spinner. a. List the favorable outcomes for spinning a vowel. b. Write the probability of spinning a vowel as a fraction. c. Write the probability of spinning not a vowel as a fraction.

d. Write the probability of spinning a B or F as a fraction.

2

3) Jill has a

9 chance of randomly playing a rock song on her phone. Write her chances of randomly playing a rock song as a percent.



Level G Unit 11 Cycle 1 Lessons 1–3

Cycle Check 1

4) Write each probability as a decimal. a. P(greater than 2) b. P(1 or 2) c. P(not 3)

5) Estimate each probability as a percent.

a. P(C) b. P(A and C) c. P(not C)

6) You have the following letters in a bag: A, R, K, A, N, S, A, S.

Which event is more likely, P(A) or P(S)? Explain your thinking.

7) You have an octahedron numbered 1 to 8. a. Write the probability as a decimal: P(even number). b. Describe the likelihood of rolling an even number as impossible, unlikely, equally likely, likely or certain. Explain your thinking.

2




Cycle Check

8) a. Describe an event that is likely to happen.

Explain your thinking. b. Write a percent to represent that probability that you described.




Cycle Check 3

Assessment Answers

Lesson 1: Write the probability of an event as a fraction.

1) a. cherry, cherry, cherry, grape, grape

3 b.

5 c.

2

5 d. 0

2) a. A, A, E

3 b.

7 c.

4

7 d.

2

7

Lesson 2: Write the probability of a situation as a decimal and percent.

3) 22.2%

4) a. 0.6 b. 0.4 c. 0.8

5) a. 25% b. 50% c. 75%

Lesson 3: Describe the probability of an event in words.

6) P(A) is more likely.

Possible explanation: To find which event is more likely, I found the probability for each event.

P(A) =

3

8

and P(S) =

1

4

. On the number line,

3

8

is closer to 1 than

1

4

. That means P(A) is more likely to occur.

7) a. 0.5 b. It is equally likely to roll an even number on the number cube.

Possible explanation: First I found the probability of rolling an even number: 4 favorable outcomes out of 8 possible outcomes is a probability of 0.5. On the number line, 0.5 is in the middle of 0 (impossible) and 1 (certain), so it is neither likely nor unlikely to roll an even number.

8) a. Possible answer: The spinner is likely to land on a consonant.

Possible explanation: There are 8 possible outcomes for spinning the spinner, so for an event to

4 be likely to happen, more than half (more than

8

) of the outcomes must be favorable. For spinning a consonant, there are 6 favorable outcomes out of 8 possible outcomes. b. Possible answer: 75%

4




Cycle Check

Sample 7th Grade Lesson Cycle

Sample

Grade

Lesson Cycle

Related documents

Products

Support

Sample 7th Grade Lesson Cycle

Sample

Grade

Lesson Cycle

Related documents

Add this document to collection(s)

Add this document to saved

Suggest us how to improve StudyLib