1. Math Unit 1 Populations and Samples

2. Vocabulary You Need To Know b Survey b variable b value b numerical variable b categorical variable b data b mode

3. Goals for the lesson b Gather, organize, graph, and analyze data using variables, making data tables, and drawing bar graphs. b Connect math and science to everyday life b Work cooperatively with others b Math can be fun

4. Brainstorm WHAT IS A SURVEY???

5. What do we know from the data? b DO you think the data will help convince Blanca’s mom that slip-ons are not fashionable? b Would a graph help? b What the most common kind of shoe in Blanca’s class? b What would the data look like if we surveyed our school?

6. Blanca & Irma’s Data

7. What is a variable? b Things that change or vary in an experiment or survey b Example: kind of shoeskind of shoes number of shoes number of shoes

8. Numerical Variables b Numerical : Numbers If I ask how many pairs of high top sneakers you have will the answer be numbers or words?If I ask how many pairs of high top sneakers you have will the answer be numbers or words? Your answer would be numbers (1 pair, 2 pairs, 3pairs,etc.)Your answer would be numbers (1 pair, 2 pairs, 3pairs,etc.) Therefore : Number of pairs of high top sneakers is a numerical value Numerical Variable- a question that has a number for the answer or value

9. Categorical Variables b Categorical : Words NOT numbers Type of shoe is a categorical variableType of shoe is a categorical variable If I ask you what kind of shoes you have on, you will give me words (sandals, tennis shoes, boots, etc)If I ask you what kind of shoes you have on, you will give me words (sandals, tennis shoes, boots, etc) Therefore, type of shoe is a categorical variable Categorical variable- a question with words for the answers or values

10. Values b The answers to the question b If I ask what kind of shoes you are wearing (variable), you answer by saying Sandal, sneakers, boots (values) LET’S TRY

12. TIMS Laboratory Method 1. Determine your question 1. Determine your question 2. Determine the variables 2. Determine the variables 3. Draw 3. Draw 4. Collect 4. Collect 5. Graph 5. Graph 6. Explore 6. Explore

13. Let’s Begin How many eyelets are on the shoes of the students in your class? What are the variables? Number of Eyelets Number of Pairs of Shoes

14. Let’s Draw b Include both variables b Include possible values b LABEL EVERYTHING!

15. Collect the Data

16. Let’s Check The Data b Did we include everyone? b How do we know?

17. Graph the Data  All graphs must include: TitleTitle Label both Axis with the correct values and variablesLabel both Axis with the correct values and variables Values must be equally spaced on the axisValues must be equally spaced on the axis Put the value 0 where the axis meetPut the value 0 where the axis meet

18. Explore: Analyze the Data b How many have 20 eyelets? 8? 0? b What is the MODE? (most common number of eyelets) b What are the values for number of eyelets? b What do we notice about those values? b Alexis said she had 14 eyelets on her pair of shoes. Do you think she is correct? Why or why not?

19. Describing the graph using words. 4 things to include: b How many bars are on the graph? b What is the tallest and shortest bar? b Where are the bars located? Beginning of the graphBeginning of the graph Middle of the graphMiddle of the graph End of the graphEnd of the graph b What is the mode (tallest bar) on the graph?

20. Let’s Try It!

21. Describe the Eyelets graphs for: b A professional basketball team in uniform. b Vacationers on a beach b Where would the tallest bars be on the graph? b Would there be many bars or just one or two?

22. Questions b What is the total number of eyelets on all the shoes of all the students in your class? b Estimate the total number of eyelets for the entire 5 th grade. b How did you make your estimate? b How would the graph be different if you gathered data from all the fifth graders in your school?

23. Did we reach our goals? b Gather, organize, graph, and analyze data using variables, making data tables, and drawing bar graphs. b Connect math and science to everyday life b Work cooperatively with others b Math can be fun

24. Think and Write About It! b What would happen if some students counted the eyelets on only one shoe while other students counted the eyelets on both sides? Write your response in your math journal.Write your response in your math journal. Include your answer to the question and support your answer with facts and examples.Include your answer to the question and support your answer with facts and examples. Remember to strive for five!Remember to strive for five!