1. Name:________________________________________________________________________________Date:_____/_____/__________ SITUATION“I” or “D” 4) Out of a bag of 30 marbles, picking a green marble, keeping it, and then picking a blue marble. 5) Picking an Ace from a standard deck of cards, replacing it, and then picking a King. Apply the fundamental counting principle in order to answer the following: 1)How many total outcomes (unique meals) exist for the following restaurant choices? Answer: 2)How many total outcomes for flipping two coins, rolling one number cube, and spinning a spinner with 5 equal sections? 3)You are creating a secret code that will consist of three letters. The choices for each letter will be : A, B, C, D, E, F, G, and H If each letter can be used more than once, how many unique secret codes are there? Read the following compound probability situations, and decide Whether they are independent or dependent: Main DishSidesDrinks Hamburger Grilled Chicken Sirloin Steak Lasagna Mashed Potatoes Baked Potato French Fries Onion Rings Steamed Veg. Coke Sprite Root Beer Tea Coffee Water

2. Calculate the probability of the following situations. Be careful, some will be INDEPENDENT and some will be DEPENDENT! 6.When flipping a coin, and rolling a standard number cube, what is the probability of flipping tails on the coin and a number greater than 4 on the number cube? -- P(T, then number > 4) 7.Consider the following deck of cards, and answer the following: Question A: The above cards are placed into a bag. You randomly pick one card, replace it, and then pick a second card. What is the probability that you will pick a number greater than six, followed by the number “5”? – P(# > 6, then 5) Question B: Now, you will pick two cards again. This time, you will KEEP the first card. What is the probability that you will pick two even numbers in a row? -- P(even #, then even #)

3. Today’s Lesson: What: analyzing graphs and histograms Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms). What: analyzing graphs and histograms Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms).

4. Vocabulary: Circle Graph-- used to show parts out of a larger ___________________. The entire circle represents 100%. Line Plot– used to show _______________________ of data along a number line. Stem-and-Leaf Plot– used to organize data by ______________________________. The stem represents the greatest place value digits, and the leaves represent the ____________________ place value digits. Frequency Table– used to organize intervals of numerical data according to how often each interval ________________________ (frequency). Histogram-- uses bars to represent equal ____________________ of numerical data. Each bar represents an interval. Bars in a histogram MUST _________________ ! whole frequency place value smallest occurs intervals TOUCH

5. Examples: 1.CIRCLE GRAPH: ANALYZE THE GRAPH: 1.What category represents the smallest part of the Milton’s family budget? 2.What category represents the largest part of the Milton’s family budget? 3. Using this graph, is it possible to know the specific amount of money spent on food each month? Savings (6%) Food (33%) No

6. 2.STEM-AND-LEAF PLOT: ANALYZE THE GRAPH: 1.How many total temperatures were recorded in this plot? 2.How many temperatures were between 70-79 degrees? 3.What is the mode of the data? 4.What is the range of the data? 5.Is it possible to calculate the mean of the data? 9 3 63 degrees 38 degrees yes REMEMBER! For a group of numbers, the MEAN means AVERAGE; the MEDIAN means MIDDLE; and the MODE means MOST FREQUENT!!!

7. 3. LINE-PLOT: ANALYZE THE GRAPH: 1.How many students are represented in this line plot? 2.What is the mode of the data? 3.What is the range of the quiz scores? 4.Is it possible to calculate the mean of the data? 5.Is there an outlier in the data? If so, what? 27 students 7 7 yes Yes. The outlier is “3.”

8. histograms: Again, a histogram is a type of bar graph– except that the bars show equal ______________ of numerical data. The height of each bar represents the _____________________, while the width of each bar represents how big each interval is. We often use a frequency table of data in order to create a histogram. intervals frequency

9. Height Of trees (ft.) TallyFrequency 60-64 65-69 70-74 75-79 80-84 85-89 Create a histogram from a frequency table: The below frequency table is using intervals of _______________________. Fill-in the frequency column and create the histogram. REMEMBER, the bars must ______________________________!! five TOUCH 3 3 8 10 5 2

10. Fill-in a frequency table from a histogram: The below histogram is using intervals of ___________________. Use the height of the bars to fill-in the missing information in the frequency table. scoreTally Frequency 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 (plus 100%) ten 1 2 1 2 6 9 13 5

11. # of PetsTally Frequency 0-2 3-5 6-8 9-11 12 and above Create a histogram from our class data!! Let’s survey the students in our class to see how many pets we own! We will record our data in the below frequency table. Then, we will create a histogram from the data.

12. ANALYZE THE GRAPH: 1. What are the intervals being used in this graph? 2. How many students scored below an 80%? 3. How many students scored an 80% or above? 4. What conclusion(s) can be drawn about the overall performance of the class on this particular quiz/test? intervals of 10 11 19 Overall, the class performed well. The majority scored a B or higher, while only 3 scored below a C.

13. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

14. Vocabulary: Circle Graph-- used to show parts out of a larger ___________________. The entire circle represents 100%. Line Plot– used to show _______________________ of data along a number line. Stem-and-Leaf Plot– used to organize data by ______________________________. The stem represents the greatest place value digits, and the leaves represent the ____________________ place value digits. Frequency Table– used to organize intervals of numerical data according to how often each interval ________________________ (frequency). Histogram-- uses bars to represent equal ____________________ of numerical data. Each bar represents an interval. Bars in a histogram MUST _________________ ! Examples: Math-7 NOTES DATE: ______/_______/_______ What: analyzing graphs and histograms Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms). What: analyzing graphs and histograms Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms). NAME:_________________________________________________________________________________ 1. CIRCLE GRAPH:ANALYZE THE GRAPH: 1.What category represents the smallest part of the Milton’s family budget? 2.What category represents the largest part of the Milton’s family budget? 3.Using this graph, is it possible to know the specific amount of money spent on food each month?

15. 2. STEM-AND-LEAF PLOT:ANALYZE THE GRAPH: 1.How many total temperatures were recorded in this plot? 2.How many temperatures were between 70-79 degrees? 3.What is the mode of the data? 4.What is the range of the data? 5.Is it possible to calculate the mean of the data? 3. LINE-PLOT:ANALYZE THE GRAPH: 1.How many students are represented in this line plot? 2.What is the mode of the data? 3.What is the range of the quiz scores? 4.Is it possible to calculate the mean of the data? 5.Is there an outlier in the data? If so, what? histograms: Again, a histogram is a type of bar graph– except that the bars show equal ______________ of numerical data. The height of each bar represents the _____________________, while the width of each bar represents how big each interval is. We often use a frequency table of data in order to create a histogram. REMEMBER! For a group of numbers, the MEAN means AVERAGE; the MEDIAN means MIDDLE; and the MODE means MOST FREQUENT!!!

16. scoreTally Frequency 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 (plus 100%) Height Of trees (ft.) TallyFrequency 60-64 65-69 70-74 75-79 80-84 85-89 Create a histogram from a frequency table: The below frequency table is using intervals of _______________________. Fill-in the frequency column and create the histogram. REMEMBER, the bars must ______________________________!! Fill-in a frequency table from a histogram: The below histogram is using intervals of ___________________. Use the height of the bars to fill-in the missing information in the frequency table.

17. ANALYZE THE GRAPH: 1.What are the intervals being used in this graph? 2.How many students scored below an 80%? 3.How many students scored an 80% or above? 4.What conclusion(s) can be drawn about the overall performance of the class on this particular quiz/test? # of Pets Tally Frequency 0-2 3-5 6-8 9-11 12 and above Create a histogram from our class data!! Let’s survey the students in our class to see how many pets we own! We will record our data in the below frequency table. Then, we will create a histogram from the data.

18. DATE: ______/_______/_______ NAME: _______________________________________________________________________________

20. Remember, a line graph shows change over time.