math chapter 1 daily worksheets

8/4/2019 Math Chapter 1 Daily Worksheets

1/24

1-2. SLEEPY TIME

How much sleep do you get at night? On a sticky dot, write the time you usually go to bed and the timeyou usually get up. For example, the dot below shows that a student goes to bed at 10:00 p.m. and wakesup at 6:00 a.m. On the scatter plot poster on the wall, find the time that you go to bed on the horizontalaxis (the line that lies flat). Then trace straight up from that point high enough to be even with the timethat you get up on the vertical axis (the line that stands straight up) and place your sticky dot on thegraph.

When all the data is collected, work with your team to answer the questions below. Be sure to use theteam role descriptions following this problem in your text.

a. What is the most common bedtime for your class members? How can you tell?

b. Which dots represent the students who get the most sleep?

The least sleep?

How much sleep does each of these students get?

c. If you were to go to bed an hour earlier, how would your sticky dot move?

What if you were to get up an hour earlier?

d. In general, how much sleep do students in your class get?

1-3. CATS AND DOGS

Do you have pets? If so, what kind? For this activity, place your initials on two sticky dots. Then place onesticky dot on the class bar graph and one on the Venn diagram (shown below right). Then answer thequestions below.

a. Were you able to place your dot easily on both graphs? Was there anyone who had a hard time placing

their dot on either of the graphs? Explain.

Circle one of the following to show

your understanding of todays lesson.

1.1.1: Exit Slip Name:__________________

In your own words, define the terms below.

What do they mean to you?

Histogram (birthday chart)

Scatter Plot (bed time)

Venn Diagram (pets)


2/24

Describe two things you learned today:

For the following questions, rank them on a

scale of 1-5, 1 being the worst and 5 being

the best. Circle one.

How productive was your group today?

1 2 3 4 5

How well did your group work together as a

team?

1 2 3 4 5

How well did you participate and contribute

to your team?

1 2 3 4 5

b. Is there any information that is easier to see from looking at the bar graph?

The Venn diagram?

c. What kinds of information are best represented in bar graphs?

Venn diagrams?

1-4. SURVEYING THE CLASS

Now you will work with your team to make up some questions to ask the class and design the graphs thatwill best represent the answers.

Your task: Write down three questions that you could ask students in the class that will help you learnmore about them. Think about a way to display the answers for each question. Then contribute your ideasto your team and, as a team, decide on your three favorite questions to ask. For each question, decide

whether the answers should be shown on a histogram, a scatter plot, a bar graph, a Venn diagram, orwhether there is another, better way to show the data.

Try to ask questions that will give you the information you want. For example, asking Do you play

sports? will get lots of yes and no answers, with no information about what types of sports people play.

However, the question, What sport(s) do you play? will enable you to learn if you have soccer players,

swimmers, or other athletes in your class.

Some sample questions are provided below to help you get your conversations started

.How many hours was the longest car or bus trip you have been on?

How many cousins do you have?

How did you get to school this morning?

Brainstorm your 3 questions here- be sure that your questions are different from the other students aroundyou!

1.

2.

3.


3/24

1-7. COLOR-RAMA

Your teacher will challenge your class to a game of Color-Rama! To play, a marker will be placed on theorange space on the board below. Your class will need to select one color for your class and a differentcolor for your teacher. Then a volunteer will flip a coin three t imes. If the coin lands with the + showing,

the marker will move one space to the right, and if the is showing, then the marker will move one space

to the left. If after three flips, the marker is on your classs color, your class wins! If it lands on a color no

one picked, then no one wins. Which color should you choose? Is there a way to predict which color themarker will land on?

Before you play, discuss the questions below with your team and record your answers. When talkingabout strategies, be sure to describe your ideas and explain your reasoning. When your class hasconsidered all the colors, move on to problem 1-8.

Does it matter which color is chosen?

Are all the colors equally likely to win? How can you decide?

1-8. LEARNING MORE ABOUT THE GAME

If you want to win, is one color a better choice than the others? Is there a color that you should not pick?One way to answer these questions is to play the game and keep track of what happens.

Your teacher will give you and a partner a Lesson 1.1.2A Resource Page and a coin with sides labeled +

and . You and your partner will need a small object such as an eraser or paper clip to serve as a

marker. Once you have all of your supplies, follow the directions below.

a. Play the game several times and be sure to select a different color each time. Keep track of whichcolors win and lose each time in your interactive notebook. What do you notice?

b.After you and your partner have played the game at least five times, join with another pair of students toform a team and discuss the following questions:

Does the color you choose seem to affect your chances of winning?

Is each color choice equally likely to result in a win? Explain why or why not in as many ways asyou can.



1.1.2: Exit Slip Name:__________________

What is something you GOT today that you

feel really comfortable with or good about?

What is something you feel like you still

NEED to know in order to understand this

better?

PARKING LOT (any questions???):


4/24

c.Play the game a few more times. Do your results seem to confirm your answers from part (b) above?

Why do your results make sense?

1-9. PLAYING THE GAME

Now is the moment you have been waiting for! As a class, choose two colors (one for your class, one foryour teacher) that you think will improve the classs chance of beating the teacher.

a.Is there any color you could choose that would guarantee that you would win this game every time thatyou played? Explain why or why not.

b.Is there a color that would guarantee that you would not win? Explain why or why not.

1-10. What makes a game fair? Discuss this question with your partner and then think about whether thereis a way to change the rules of Color-Rama to make it a fair game.

What are changes to the rules that you would recommend?

a.Play the game a few times with your new rules. Be prepared to describe to the class the changes youmade and explain your reasons for making the changes.

b.Is your new game fair?________

If not, could you make it fair?

Work with your team to find a way to explain how you know your game is fair or why you cannotmake it fair.


For the following questions, rank them on

a scale of 1-5, 1 being the worst and 5

being the best. Circle one.


1 2 3 4 5

How well did your group work together as

a team?

1 2 3 4 5

How well did you participate and

contribute to your team?

1 2 3 4 5


5/24



1.1.3: Exit Slip Name:__________________

1-18. DOT PATTERN

Copy the dot pattern in the space below.

Figure1 Figure 2 Figure 3

a. What should the 4th and 5th figures look like? Draw them on your paper.

Figure 4 Figure 5

b.How can you describe the way the pattern is growing? Can you find more than one way?

c.How many dots would be in the 10th figure of the pattern?__________

What would it look like? Draw it below.

d.How many dots would be in the 30th figure?____________

How can you describe the figure without drawing it? Can you describe it with words,numbers, and a diagram? Write your explanation below:

For example 1-18. generalize thispattern by finding a way todescribe any figure in the pattern.In other words, if you knew afigure number, how could youdecide what the figure looks like,

even if you cannot draw it?


6/24


For the following questions, rank them on

a scale of 1-5, 1 being the worst and 5being the best. Circle one.


1 2 3 4 5

How well did your group work together as

a team?

1 2 3 4 5



1 2 3 4 5

1-21. Additional Challenge: Study the dot pattern at right.

a.Sketch the 4th and 5th figures.

b.Predict how many dots will be in the 10th figure.__________

Show how you know.

c.Predict how many dots will be in the 100th figure:___________

Show how you know.

d.In what ways is this pattern different from others in this lesson?


7/24



1.1.4: Exit Slip Name:__________________

1-27. TRAIL MIX

Rowena and Polly were making trail mix. Rowena had 4 cups of raisins, and Pollyhad 4 cups of peanuts. Polly poured exactly one cup of her peanuts into Rowenas

raisins and stirred them up, as shown in the diagram at right. Then Rowena pouredexactly one cup of her new peanut-and- raisin mix back into Pollys peanuts.

Did Rowena get more of Pollys peanuts, or did Polly get more of Rowenas raisins?

Your guess:______________________ Your teams guess:____________________

Your task:First decide by yourself what you think the answer to this question is. Then share

your ideas with your team and write them here.

Together make a guess (also called a conjecture) about which girl got more of the

others snack item. Write your answer here:

Explain your conjecture with words, numbers and symbols, diagrams, models, or

anything else you think will convince another student.

LEARNING LOG

your first entry, you will consider theprocess by which you worked with your

team and your class to make sense ofTrail Mix (problem 1-27). Please writethe questions below in your interactivenotebook and respond to them in fullsentences. Title this entry Making

Sense of a Challenging Problem and

label it with todays date.

What did people say or what questions

did they ask that helped you to makesense of this problem?

What did you say or what questions

did you ask that helped you to makesense of this problem?

What would you advise another

student to do in order to make sense ofthis problem?


8/24


For the following questions, rank them

on a scale of 1-5, 1 being the worst and 5being the best. Circle one.


1 2 3 4 5

How well did your group work togetheras a team?

1 2 3 4 5



1 2 3 4 5

1-28. Rowena and Polly still cannot agree about who has more of the others item. Rowena is

still sure that Polly got more of her raisins, and Polly is sure that Rowena got more of herpeanuts. In order to make sense of what happened, they decided to try a simpler experiment.

Rowena got a cup of 10 red beans, and Polly got a cup of 10 white beans. Polly gave 3 whitebeans to Rowena, and Rowena stirred them into her red ones. Then she closed her eyes and

chose 3 beans from her mixture at random to give back to Polly. The girls then examinedeach cup.

a.Try their experiment a few times with a partner. What happens each time?

Trial 1 what happened?



Work with your team to find a way to explain why your results make sense

b.Would you have gotten similar results if you had exchanged 5 beans? 6 beans? 20 beans?Be ready to explain your thinking.

c.With your team, consider whether your ideas about Rowenas raisins and Pollys peanuts

have changed. If so, write and explain your new conjecture. If not, explain why you still agreewith your original conjecture. Be sure to include anything you think will be convincing as youwrite down your ideas and be prepared to share your ideas with the class.


9/24



1.1.5: Exit Slip Name:__________________

LEARNING LOG

The relationship between the number ofpennies in a stack and the height of that

stack is an example of a proportionalrelationship. Talk with your team abouthow you can describe thisrelationship.Then record your ideas inyour notebook, using numbers, words,and tables to help show your thinking.

Title this entry Beginning to Think About

Proportional Relationships and label it

with todays date.

1-36. TINY TOWERS

To begin to investigate this question, start by collecting data.

a.How many pennies does it take to build a tower that is one centimeter tall?Use the tools provided by your teacher to find out.

# pennies in 1 cm?______________

a.In the space below, work with your team to complete the missinginformation. Be prepared to explain your reasoning to the class.


10/24

CHALLENGE:How many 10s are in 100?

____________

How many 10s are in 1,000?

__________

How many 100s are in 10,000?

_________How do you know?

For the following questions, rank themon a scale of 1-5, 1 being the worst

and 5 being the best. Circle one.

How productive was your group

today?

1 2 3 4 5

1-37. THE HUNDRED-PENNY TOWER

I have an idea! Carol said. If I know how tall a tower of 100 pennies

would be, maybe that can help me figure out how tall a tower of1,000,000 pennies would be.

a.Discuss this idea with your team. How could Carols idea work?

b.Work with your team to figure out how tall a tower of 100 pennieswould be.

Record your answer here:________________

Can you find more than one way to figure this out? Be sure that eachmember of your team is prepared to explain your thinking to the class.

1-38. THE MILLION-PENNY TOWER

Now it is time to answer the big question: How tall would a tower of amillion pennies be?

Your task: Work with your team to calculate the height of a tower of1,000,000 pennies as accurately as you can. Can you find the heightmore than one way? Be prepared to explain your ideas to the class.Feel free to use your notebook if you need more space.


11/24



1.2.1: Exit Slip Name:__________________

In the space below, write a few sentences

summary of what you did and learned today:


12/24

Describe two things you learned

today:

How productive was your grouptoday?

1 2 3 4 5

How well did your group work

together as a team?

1 2 3 4 5



1 2 3 4 5

1-53. How could you make your arrangement even clearer?

a.Work with your team to rearrange the pennies to improve how well others can understand it.b. In the space that follows, draw a diagram that represents your new arrangement (withoutdrawing all of the pennies themselves).

c.Compare your diagram with those made by your teammates. Are some diagrams clearermatches to the arrangement than others?

As a team, decide on the best way to represent your arrangement in a diagram. Consider usingideas from multiple drawings. When all team members have agreed on the best diagram, copy it

onto your paper here:

l


13/24



1.2.2: Exit Slip Name:__________________

a.Which pile has more pennies? How doyou know?

1-61. Cody and Jett each have a handful of pennies. Cody has arranged his pennies into 3 sets of 16, andhas 9 leftover pennies. Jett has 6 sets of 9 pennies, and 4 leftover pennies. Each student thinks he has themost pennies.

a.Which student has more pennies? By how much? How did you figure this out?

b. Draw a diagram in your notebookand write an expression with numbers that represent the way Codycould have arranged his pennies (3 sets of 16 with 9 leftover pennies).

Expression: ___________________________________________________

Now do the same for Jetts pennies (6 sets of 9 pennies with 4 leftover pennies).

Expression:___________________________________________________

Can you find more than one way to arrange the pennies?

c. Compare results with your team.How many different ways did your team find to represent the number of pennies with diagrams

and number expressions?

____________________With your team, decide which arrangements best represent the groups of pennies held by Cody

and Jett.

Copy the different number expressions for each student from your team to your paper.

d. Jett decided to rearrange all of his pennies into groups of 10, even though one group will not becomplete.

How many groups can he make?________

How can he represent his new grouping with a number expression?

____________________________________________________________


14/24


today:


1 2 3 4 5


together as a team?

1 2 3 4 5



1 2 3 4 5

1-62. The figure at right is reprinted from problem 1-18.

a.Working alone or with a partner, write as many number expressions as you can to describe thenumber and organization of dots in this figure. How many different ways can you see the pattern?

b.Now compare number expressions with the rest of your team. Are some easier to match to thediagram than others? Why?

As a team, choose two number expressions that represent the dots in the figure in very differentways. Be sure that everyone has these two expressions written on their own papers.

Expression 1:

Expression 2:

c.Find the value of both expressions. How do they compare?

1-63. Use the data from Lesson 1.2.1 to figure out which team received the greatest number ofpennies, which received the least, and where your team was in comparison to the other teams.Write your answers and show your work in your notebook.

aExpress each of your comparisons with a number or word sentence. For example, Team A mighthave written 5 sets of 25 pennies, or 5(25), while Team B might have written 5 sets of 17 pennies

and 2, or 5(17) + 2 .To compare, you might write 5(25) > 5(17) + 2 or you might write 5 sets of 25pennies is greater than 5 sets of 17 pennies with two more.

b.Did any teams have the same number of pennies? If so, write and calculate the value of each teams

number expressions to show that the values are the same. What symbol do we use to show that twovalues are the same?

If no two values are the same, choose two teams whose numbers of pennies were close. For thesetwo teams, write and calculate the value of their number expressions. What symbols can we use toshow that one value is less than, or greater than, another value?

c.Consider the teams that have the greatest and the least number of pennies. How many would one

team have to give to the other so that both teams have the same amount? Show how you figured thisout.

1 2 3 E it Sli N


15/24



1.2.3: Exit Slip Name:__________________

Using your own ideas and your own words

what is a:

Prime number?

Composite number?

Even number?

Odd number?

1-72. HOW MANY PENNIES? Use your notebook as needed to show your work

Jenny, Ann, and Gigi each have between 10 and 50 pennies. Work with your team to figureout how many pennies each of them could have, based on the clues given below. Be readyto explain your thinking to the class. Note that there is more than one possible answer for

each part.

a.Jenny can arrange all of her pennies into a rectangular array that looks like a square. Inother words, it has the same number of rows as columns.

How many pennies could Jenny have?__________________________________

b.Ann can arrange all of her pennies into five different rectangular arrays.

How many pennies could Ann have?__________________________________

c.Whenever Gigi arranges her pennies into a rectangular array with more than one row orcolumn, she has a remainder (some leftover pennies).

How many pennies could Gigi have?__________________________________


16/24


today:


1 2 3 4 5


together as a team?

1 2 3 4 5



1 2 3 4 5

1-73. What can you learn about a number from its rectangular arrays? Consider thisquestion as you answer the questions below.

a.A number that can be arranged into more than one rectangular array, such as Anns in

part (b) of problem 1-72, is called a composite number. List all composite numbers lessthan 15.

__________________________________________________

b.Consider the number 17, which could be Gigis number. Seventeen pennies can bearranged into only one rectangular array:1 penny by 17 pennies. Any number, like 17,that can form only one rectangular array is called a prime number. Work with your team tofind all prime numbers less than 25.

__________________________________________________

1-74. Jenny, Ann, and Gigi were thinking about odd and even numbers. (When evennumbers are divided by two, there is no remainder. When odd numbers are divided bytwo, there is a remainder of one.) Jenny said, Odd numbers cannot be formed into a

perfect rectangle with two rows. Does that mean they are prime?

Consider Jennys question with your team. Are all odd numbers prime? If so, explain how

you know. If not, find a counterexample (in this case, a number that is odd but is notprime).

1 2 4 Exit Slip Name:


17/24



1.2.4: Exit Slip Name:__________________

In the space below, draw four different

arrays you might find for the number 16:1-84. Have you ever noticed how many patterns exist in a simple multiplication table?Get a Lesson 1.2.4 Resource Page from your teacher.Fill in the missing numbers to complete the table.Then, with your team, describe at least three ways that you used to figure out what the missing

numbers were.

1.

2.

3.

1-85. Gloria was looking at the multiplication table and noticed a pattern.Look, she said to her team. All of the prime numbers show up only two times as products in the

table, and they are always on the edges.Discuss Glorias observation with your team. Then choose one color to mark all of the prime

numbers. Why does the placement of the prime numbers make sense?

1-86. Using the multiplication table, work with your team to find patterns, as described below.

a.Glorias observation in problem 1-85 related to prime numbers. What other kinds of numbers doyou know about? Work with your team to brainstorm a list of kinds of numbers you have discussed.(You may want to look back at Lesson 1.2.3 to refresh your memory.)

b.What patterns can you find in the locations of the numbers of each type? Be ready to explain yourobservations.

c.Notice how often different types of numbers appear. Do you find any patterns that make sense?Explain.

1-87 Consider the number 36 which could have been Anns number in part (b) of problem 1-72


18/24


today:


1 2 3 4 5


together as a team?

1 2 3 4 5



1 2 3 4 5

1-87. Consider the number 36, which could have been Ann s number in part (b) of problem 1-72.

a.Choose a new color and mark every 36 that appears in the table.

b.Imagine that more rows and columns are added to the multiplication table until it is as big as yourclassroom floor. Would 36 appear more times in this larger table? If so, how many more times andwhere? If not, how can you be sure?

c.List all of the factor pairs of 36. (A factor pair is a pair of numbers that multiply to give a particular

product. For example, 2 and 10 make up a factor pair of 20, because 2 !10 = 20 .) How do the factorpairs of 36 relate to where it is found in the table? What does each factor pair tell you about the possiblerectangular arrays for 36?

1-88. What does the frequency (the number of times an item appears) of a number in the table tell youabout the rectangular arrays that are possible for that number?

a.Gloria noticed that the number 12 appears as a product 6 times in the table. She wonders,Shouldntthere be 6 different rectangular arrays for 12?What do you think? Work with your team to draw all ofthe different rectangular arrays for 12 in your notebookand explain how they relate to the table.

b.How many rectangular arrays does the number 48 have? How many times would it appear as aproduct in a table as big as the classroom? Is there a relationship between these answers?

c.How many rectangular arrays does the number 36 have?_________

How many times would it appear as a product in a table as big as the room?

Does the pattern you noticed for 12 and 48 apply to 36? If so, why does this makesense? If not, why is 36 different?

1-89. WHY DOES IT WORK?Work with your team to analyze an interesting pattern in the multiplication table. (See booklet)

a.What is the pattern? Work with your team to test enough examples to be convinced about whetherthere is a consistent pattern.

1 3 1: Exit Slip Name:


19/24



1.3.1: Exit Slip Name:__________________

LEARNING LOG

In your notebook, explain how a stem-and-leaf plot is organized and what it

helps show about the data. Title thisentry Stem-and-Leaf Plots and label itwith todays date.

1-99. USEFUL FORMS OF DATA

In the Handful of Pennies activity (problem 1-51), you saw that it ispossible to organize items in a way that communicates information at aglance. Instead of organizing pennies, you now have a long list oftimes to organize.

a. How could you rearrange your list so that it is easier to find specificvalues? As a class, brainstorm ways to organize the data. Decidetogether how to rewrite the list.

b. One way to organize and display data is in a stem-and- leaf plot.The example of a stem-and-leaf plot at right represents the data 31,31, 43, 47, 61, 66, 68, and 70.

Think about how this plot is arranged and describe what you notice. For example, howwould 42 be added to this plot? What about 102? Why do you think the space to the rightof the 5 is blank?

c.Once the stem-and-leaf plot makes sense, work together to organize your class datafrom problem 1-98 in a similar way in your notebook.

d. What do you notice about the class data? Discuss this with your team and then writedown three observations you can make. Be ready to share your observations with theclass and explain how you made them.

1.

2.

3.


20/24


today:


1 2 3 4 5


together as a team?

1 2 3 4 5



1 2 3 4 5

1-100. CREATING A HISTOGRAM

Another graph of data similar to a stem-and-leaf plot is called a histogram. (You mayremember creating a histogram of birthdays in the very first lesson of this course.) Thistype of graph helps you learn how many pieces of data fall between different intervals,such as between 0 and 10 seconds.

a.Following the directions of your teacher, place a sticky note with your time from problem1-98 on the class histogram.

b.Examine the graphed data. What statements can you make that describe how your classperformed in the experiment?

Were most students able to make a good estimate of 60 seconds? How can you tell?

c.What if the histogram is formed in intervals of 20 seconds, so it has five columnsinstead(019, 2039, 4059, 6079, and 8099)? What would be the same or differentabout this graph?

Would it affect how you describe the performance of your class in the experiment?

What if it was formed using intervals of 5 seconds? How would this change things?

d.Compare the histogram with the stem-and-leaf plot you created in problem 1-99. Whatconnections can you make between the two representations?

How are these representations the same or different? Explain.

1 3 2: Exit Slip Name:


21/24



1.3.2: Exit Slip Name:__________________

1-107. TAKING A CENSUS, Part One

Every ten years, the United States government performs a census,which is a collection of data that describes the people living in thecountry. With this massive undertaking, the government strives to learnmany things about the people living in the United States, such as howthe population is changing, where people live, what structures of

families exist, and what languages are spoken. For example, in theyear 2000, there were 281,421,906 people surveyed for the census,roughly 8,000,000 of whom lived in New York, NY.

What is the size of a typical family for the students in your math class?

Your task: Obtain one sticky note for each person in your team. Onyour sticky note, write down the number of people in your immediatefamily and place your sticky note above the appropriate number on theclass bar graph. Then work with your class to consider the following

questions:

What is the difference between the largest and smallest piece of data

in your class? This difference is called the range.

What number falls right in the middle of all the class data when the

data is sorted in order? This number is called the median.

What number is repeated most in the class data? This number is

called the mode.


22/24


today:

How productive was your group

today?

1 2 3 4 5


together as a team?

1 2 3 4 5



1 2 3 4 5

1-108. WHAT IS AVERAGE?

Now obtain one cube (or other manipulative) from your teacher to represent each person inyour family.

a.Work with your classmates to organize yourselves into a human bar graph.

b.If the cubes were redistributed so that everyone in the class had the same number, how

many cubes would each person have? This is called the mean (or the average) of thedata.

1.3.3: Exit Slip Name:


23/24



1.3.3: Exit Slip Name:__________________

LEARNING LOG

In your notebook, explain how to find themean, median, mode, and range of a set

of data. Title this entry Finding Mean,Median, Mode, and Range and label itwith todays date.

1-115. ESTIMATING 60 SECONDS AGAINToday your class will try to improve its estimation of 60 seconds by doing the experiment again.

a.Examine the data from the first experiment, collected in Lesson 1.3.1. Does the data accuratelydescribe the ability to estimate 60 seconds by your class? What might cause the data to be inaccurate?

b. What might help members of your class estimate 60 seconds more accurately? Share your ideaswith the class and list them in your notebook.

c. As you did before, close your eyes when your teacher tells you to start estimating. When you think 60seconds have passed, open your eyes and record your time on your paper.

10-116. ANALYZING THE DATA

Share your data with the class to form a new set of data.

a.Examine the set of data. How did your class do? How could you tell if your class did a better job atestimating 60 seconds?

b.If you have not already done so, create a histogram for this new set of data in your notebookandcompare it to the histogram created in Lesson 1.3.1. According to what you see in the histograms, howis the new set of data the same or different than the original data? Explain why you think this and writethis on your paper.

c.If you have not already done so, create a stem-and-leaf plot for the new set of data in your notebook.According to the stem-and-leaf plots, how is the new set of data the same or different than the original

data? Explain.10-117. CREATING A DOUBLE STEM-AND-LEAF PLOT

A double stem-and-leaf plot has three columns with the stems in the middle column and the leaves ofone team to the right of the stem and the leaves of the other to the left. For example if a student on oneteam had a value of 40, you would enter a 0 (the leaf) in the left-hand column next to the number 4 (thestem).

a.What are the data values for each of the two teams?

b. As you look at the 60-second data for the two class experiments in the double stem-and-leaf, what doyou notice about the two sets of data? Discuss this with your team and then write down threeobservations you can make. Be ready to explain your observations to the class.

What is something you GOT today that you1-118. Find the range and the mode for each set of data from your two 60-second experiments. Then


24/24

What is something you GOT today that youfeel really comfortable with or good about?

What is something you feel like you still

NEED to know in order to understand thisbetter?

PARKING LOT (any questions???):


1 2 3 4 5

How well did your group work together as ateam?

1 2 3 4 5

How well did you participate and contribute

to your team?

1 2 3 4 5

g y pfind the median for each of them using either the double stem-and-leaf plot or the histograms.

a.Write down these results.

1.3.2 Range____________ Mode ______________ Median _______________

1.3.3 Range____________ Mode ______________ Median _______________

b.Compare the range, mode, and median of the two sets of data. What do you notice? Discuss this withyour team and then write down three observations you can make. Be ready to explain your observationsto the class.

1.

2.

3.

1-119. COMPUTING THE MEANuse notebook as needed

In problem 1-108, you found the mean number of cubes in the class by sharing cubes fairly among allstudents. How can this method translate into a mathematical strategy? One way to share cubes evenlywould be for all of the students to put their cubes together into one big pile and then to redistribute all thecubes in the pile evenly among the students.

a.How could you use numbers and symbols to represent what happens when everyone puts all of theircubes together?

b.How could you use numbers and symbols to represent what happens when the big pile is distributedevenly among all of the people?

c.As you have discovered, one way to calculate the mean for a set of data is to add all of the datatogether (like combining all of the cubes) and then divide by the number of pieces of data (likedistributing the cubes evenly among all of the people). Calculate the mean for todays 60-second data.Be sure to record your work carefully.

d.Now calculate the mean of the data you collected in the first 60-second experiment.

e.How do the two means compare? What does this tell you about the results of the two experiments? Beread to e plain o r ideas to the class

math chapter 1 daily worksheets

Documents