1. CONFIDENTIAL1 Good Afternoon! Today we will be learning about Tables Let’s warm up : Find the median and range for the following list of values: 1) 5, 6, 8, 9, 7 2) 12, 7, 12, 8, 13, 6 3) 14, 12, 11, 10, 17, 13, 14 4) 16, 13, 12, 13, 15, 16, 12, 15, 17 1) median = 7; range = 4 2) median = 8; range = 7 3) median = 13; range = 7 4) median = 15; range = 5

2. CONFIDENTIAL2 Let’s review what we did in the last session Median: It's the middle number in a sorted list. To find the Median, place the numbers you are given in numerical order and find the middle number. Range: It is the difference between the greatest and least number in a data set. To find the Range in a given data set, Subtract the Smallest number from Greatest number i.e. Range = Largest value - Smallest value

3. CONFIDENTIAL3 Review There can be two cases when finding the median for a given list of values. Case1: If there are an odd amount of numbers. Position of Middle number = (Total number of numbers + 1) ÷ 2 Case2: If there are an even amount of numbers. In that case we need to find the middle pair of numbers. The median is the mean (the usual average) of the middle two values. The median is the value of the middle number.

4. CONFIDENTIAL4 Review Find the median for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13 We rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21 There are nine numbers in the list. Our middle number will be the fifth number. The median value of this set of numbers is 14. 13, 13, 13, 13, 14, 14, 16, 18, 21 Median = 14

5. CONFIDENTIAL5 Review 1, 2, 4, 6, 7, 8 Find the median for the following list of values: We see that there are an even amount of numbers i.e. 6. So, the middle pair of numbers are: 3 and 4 The numbers are already listed in numerical order, so you don't have to rewrite the list. 1, 2, 4, 6, 7, 8 To find the value half-way between them, add them together and divide by 2: 4 + 6 = 10 10 ÷ 2 = 5 The median value of this set of numbers is 5. Median = 5

6. CONFIDENTIAL6 Review Find the range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13 We rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21 Smallest value in the list is 13. AND Largest value in the list is 21. Range = Largest value - Smallest value = 21 – 13 = 8 The Range of this set of numbers is 8. Range = 8

7. CONFIDENTIAL7 Let’s start with Tables Survey: A survey is one way to collect information or data. When you conduct a survey, you ask a question and record the answers. The question for one class survey was, “What do you like to eat?” The answer choices were Chicken nuggets, corn, French fries, salad and tuna sandwich. What do you like to eat? AnswerTallyNumber Chicken nuggets13 Corn7 French fries6 salad0 tuna sandwich4 The answer choice nuggets was given more often.

8. CONFIDENTIAL8 To conduct a survey and organize your data keep in mind the following things.  Choose a topic for your survey to tell what the data shows.  Choose the questions that you will ask.  Show the answers on the table.  Organize the chart by making a tally mark for each answer.  Choose how many answers you will allow each person to give.  Keep track of the number of people you survey.

9. CONFIDENTIAL9 So, in general you should do the following steps : STEP 1: Write a question that has 3 or 4 possible answers. List the possible answers in a tally chart like the one shown. STEP 2: Survey 20 people. Allow each person to give only one answer. Make a tally mark for each answer. Then add the tally marks for each answer. STEP 3: Analyze your data, i.e. how would describe the results of your survey. Question: AnswerTallyNumber

10. CONFIDENTIAL10 Tally: A tally chart is a way to show the information or data you have collected. Use the tally chart to answer the questions. How many children are in your family? AnswerTallyNumber 12 213 38 42 More than 40 1) What is the survey question? [How many children are in your family?] 2) Which answer was given most often? Least often? [2 children; More than 4 children]

11. CONFIDENTIAL11 Use the tally chart to answer the questions. What is your favorite summer activity? ActivityTallyNumber Bicycling13 Going to camp3 Swimming6 Playing video games16 1) What is the survey question? 2) Which answer was given most often? Least often? 3) How many students answered the survey question? 4) How many students named the two popular activities? 1) What is your favorite summer activity? 2) Playing video games. Going to camp 3) 38 4) 29

12. CONFIDENTIAL12 Use the list given to make a tally chart then solve the problems How often do you bring lunch to school? Ginasometimes Wilsonnever Pascosometimes Joysometimes Rosaliealways Bobsometimes Joannasometimes Willalways 1) What are the possible answers on your tally chart? 2) How many students never bring lunch to school? 3) How many students sometimes bring lunch to school? 4) How many students always bring lunch to school? Now you try! 1) always, sometimes, never 2) 1 3) 5 4) 2

13. CONFIDENTIAL13 Mike has 4 baseball cards. Each week he gets 2 more cards. Fredrick has 3 baseball cards and gets 1 more card each week. How many baseball cards will each have when they have a total of 19 baseball cards? Here is the table of information about the problem. Mike’s cardsFredrick’s cardsTotal cards 437 6410 8513 10616 12719 Week1 Week2 Week3 Week4 How many cards each boy had when the total card is 19. Mike has 4 cards and Fredrick has 3 cards.

14. CONFIDENTIAL14 Make a table Read each sentence and then paraphrase, which says the same thing in a different way. Original sentenceParaphrase Art is twice bob’s age.Art’s age ÷ 2 = Bob’s age OR, Bob’s age × 2 = Art’s age Cal is half Dee’s age.Cal’s age × 2 = Dee’s age OR, Dee’s age ÷ 2 = Cal’s age Each person is 3 inches taller than the next tallest person. First person’s height + 3’ = Second person’s height Second person’s height + 3’ = Third person’s height

15. CONFIDENTIAL15 Circle the correct example: 1) Emma is half Fran’s age. a)Emma is 20 Fran is 30. b)Emma is 40 Fran is 20. c)Emma is 40 Fran is 80. 2) Gus is twice Haruo’s age. a)Gus is 6 Haruo is 12. b)Gus is 3 Haruo is 12. c)Gus is 6 Haruo is 3. 3) A plant doubles its height every week. a)Week 1:2”. Week 2:4”. Week 3:8”. b)Week 1:2”. Week 2:3”. Week 3:4”. c)Week 1:2”. Week 2:4”. Week 3:6”.

16. CONFIDENTIAL16 Together, Herman’s age and his sister’s age equal 27. Herman’s sister’s age is twice Herman’s age? How old is Herman? How old is his sister? Herman’s ageSister’s ageTotal age 123 246 369 4812 51015 61218 71421 81624 91827 Here is the table of information about the problem. Herman is 9 years old and his sister is 18 years old.

17. CONFIDENTIAL17 Now you try! 1) Plant A is 9 inches tall. Plant B is 2 inches tall. If each plant grows 1 inch each week, how tall will each plant be when Plant A is twice as tall as Plant B? 2) Dan, Bruce and Jim are brothers. Bruce is twice as old as Jim and Dan is 5 years younger than Jim. Jim is 9 years old. How old is each brother now? 1) Plant A is 14 inches; Plant B is 7 inches 2) Dan is 4 years ; Jim is 9 years ; Bruce is 18 years ;

18. CONFIDENTIAL18 Assessment Use the tally chart to answer the questions. What is your favorite drink? DrinkTallyNumber Water7 Sports drink4 Fruit juice11 Hot cocoa5 Tea3 1) What is the survey question? 2) Which answer was given most often? Least often? 3) How many students answered the survey question? 4) How many students chose fruit juice or water? 1) What is your favorite drink? 2) Fruit juice; Tea 3) 30 4) 18

19. CONFIDENTIAL19 Use the list given to make a tally chart then solve the problems Is math your favorite subject? GinaYes WilsonNo PascoYes JoyMaybe RosalieYes BobNo JoannaNo JoshMaybe WillYes 5) What are the possible answers on your tally chart? 6) Which answer was given most? 5) Yes; Maybe; No. 6) Yes

20. CONFIDENTIAL20 7) Gina is 14 years old. Her uncle is 31 years old. How old will Gina and her uncle be when Gina’s uncle age is twice as old as she is? 7) 17 years old; 34 years old. 8) Judy has made 7 T-shirts. Each day she makes another 4 T-shirts. Harry has made 11 T-shirts and makes another 3 T-shirts everyday. How many T-shirts total will Judy and Harry have made after six days? 8) 60 T-shirts 9) Steve has read 5 books. Each week he reads 3 more books. Emily has read 6 books. Each week she 2 more. How many books will each have read when they have read a total of 41 books? 9) Steve 23 books; Emily 18 books

21. CONFIDENTIAL21 Survey: A survey is one way to collect information or data. When you conduct a survey, you ask a question and record the answers. The question for one class survey was, “What do you like to eat?” The answer choices were Chicken nuggets, corn, French fries, salad and tuna sandwich. What do you like to eat? AnswerTallyNumber Chicken nuggets13 Corn7 French fries6 salad0 tuna sandwich4 The answer choice nuggets was given more often. Very Good! Let's Review

22. CONFIDENTIAL22 To conduct a survey and organize your data keep in mind the following things.  Choose a topic for your survey to tell what the data shows.  Choose the questions that you will ask.  Show the answers on the table.  Organize the chart by making a tally mark for each answer.  Choose how many answers you will allow each person to give.  Keep track of the number of people you survey. Review

23. CONFIDENTIAL23 So, in general you should do the following steps : STEP 1: Write a question that has 3 or 4 possible answers. List the possible answers in a tally chart like the one shown. STEP 2: Survey 20 people. Allow each person to give only one answer. Make a tally mark for each answer. Then add the tally marks for each answer. STEP 3: Analyze your data, i.e. how would describe the results of your survey. Question: AnswerTallyNumber Review

24. CONFIDENTIAL24 Tally: A tally chart is a way to show the information or data you have collected. Use the tally chart to answer the questions. How many children are in your family? AnswerTallyNumber 12 213 38 42 More than 40 1) What is the survey question? [How many children are in your family?] 2) Which answer was given most often? Least often? [2 children; More than 4 children] Review

25. CONFIDENTIAL25 Mike has 4 baseball cards. Each week he gets 2 more cards. Fredrick has 3 baseball cards and gets 1 more card each week. How many baseball cards will each have when they have a total of 19 baseball cards? Here is the table of information about the problem. Mike’s cardsFredrick’s cardsTotal cards 437 6410 8513 10616 12719 Week1 Week2 Week3 Week4 How many cards each boy had when the total card is 19. Mike has 4 cards and Fredrick has 3 cards. Review

26. CONFIDENTIAL26 Together, Herman’s age and his sister’s age equal 27. Herman’s sister’s age is twice Herman’s age? How old is Herman? How old is his sister? Herman’s ageSister’s ageTotal age 123 246 369 4812 51015 61218 71421 81624 91827 Here is the table of information about the problem. Herman is 9 years old and his sister is 18 years old. Review

27. CONFIDENTIAL27 You have done a nice job. See you in the next session.