Learning Objective Name ___________________________

1. Learning ObjectiveName ___________________________ Today, we will represent1 probability as ratios and percentages. 1 show CFU What are we going to do today? What are we going to represent? What does represent mean? Today, we will represent probability as ratios and percentages. We are going to represent probabilities as ratios and percentages. Represent means to show. Activate (or provide) Prior Knowledge There are 30 kids in a class. Eighteen of them are girls and twelve of them are boys. 1). a. What is the ratio of girls to the total number of students? b. What is the reduced form of the ratio? c. What is the percentage of girls to the total number of students? 2). a. What is the ratio of boys to the total number of students? b. What is the reduced form of the ratio? c. What is the percentage of boys to the total number of students? CFU Teacher completes example 1. Students complete example 2. Students, you already know how to compare two numbers using ratios and percentages. Today, we will use our knowledge of ratios and percentages to represent probabilities.

2. Concept Development Probability is the likelihood or chance that an event will occur2. • Probability can be represented as a ratio or 2:5, and as a percentage 40%. An event is one or more outcomes of an experiment3. An outcome is each result. They are what could happen in an experiment. 2 happen 3 an activity involving chance Example: Jennifer has 16 shirts. The number of each color is shown in the table. If Jennifer chooses a shirt without looking, what is the probability that she will choose a white shirt? The formula for probability of an event when all outcomes of an experiment are likely to happen is: Number of ways the event or white shirt can occur is: 8 Total number of all possible outcomes is: 16 (total amount of shirts) The probability of choosing a white shirt is , 8:16, or 50%. In its simplest (reduced) form, the probability would be or 1:2. CFU In your own words, explain what probability is. Probability is __________________________. How can probability be represented? What is the difference between outcomes and events? What is the formula for finding the probability of an event? In a bag, there are 5 blue marbles, 3 yellow marbles, and 2 red marbles. What is the total number of outcomes? a. 10 b. 5

3. Skill Development/Guided Practice Probability is the likelihood or chance that an event will occur. Represent probability as ratios and percentages. Step #1: Read the question carefully. a. Underline what you are finding the probability of. Step #2: Write the number of ways the event can occur. Step #3: Determine the number of total outcomes. Step #4: Write the probability as a ratio and reduce if necessary. Step #5: Write the probability as a percentage. Hint: Divide the numerator by the denominator then convert the decimal to a percentage. The table shows how many types of fruit are in a bowl. 3 12 12 6 25% 50% CFU How did I know the number of ways the event could occur? How did I determine the number of total outcomes? How did I know how to write the probability as a ratio? How did I know if I had to reduce? What did I do to write the probability as a percentage? Do Step #2 and show. How did you know the number of ways the event could occur? Do Step #3… How did you determine the number of total outcomes? Do Step #4… How did you know how to write the probability as a ratio? How did you know if you had to reduce? Do Step #5… What did you do to write the probability as a percentage?

4. Skill Development/Guided Practice (continued) Probability is the likelihood or chance that an event will occur. Represent probability as ratios and percentages. Step #1: Read the question carefully. a. Underline what you are finding the probability of. Step #2: Write the number of ways the event can occur. Step #3: Determine the number of total outcomes. Step #4: Write the probability as a ratio and reduce if necessary. Step #5: Write the probability as a percentage. Hint: Divide the numerator by the denominator then convert the decimal to a percentage. 9+8+3+5 = 25 25 3 12% 9+6+3+2 = 20 3 20 15% CFU How did I know the number of ways the event could occur? How did I determine the number of total outcomes? How did I know how to write the probability as a ratio? What did I do to write the probability as a percentage? Do Step #2 and show. How did you the number of ways the event could occur? Do Step #3… How did you determine the number of total outcomes? Do Step #4… How did you know how to write the probability as a ratio? Do Step #5…What did you do to write the probability as a percentage? What is the difference between Step #2 and Step #3? Which step is the hardest for you? Why? Which step is the easiest for you? Why?

5. Importance Probability is the likelihood or chance that an event will occur. • 1. Representing probability as ratios and percentages will help youshow and • understand data for research. Jane conducted a survey about favorite foods in her class. Of the twenty five students, eleven chose pizza, four chose hamburgers, six chose chicken, and four chose spaghetti. • 2. Represent probability as ratios and percentages will help youdetermine your • chances of winning a prize; for example, a raffle or lottery. There have been 112 tickets sold and you bought two. The probability of you winning a prize is . 3. Represent probability as ratios and percentages will help youdo well on tests. CFU Does anyone else have another reason why it is important to represent probability as ratios and percentages? (pair-share) Why is it important to represent probability as ratios and percentages? You may give me one of my reasons or one of your own. Which reason is most important to you? Why?

6. Closure 1. In your own words, what is probability? 2. What is the formula for probability? 3. Represent probability as ratios and percentages below. 4. What did you learn today about representing probability as ratios and percentages? Why is that important to you? (pair-share) Step #1: Read the question carefully. a. Underline what you are finding the probability of. Step #2: Write the number of ways the event can occur. Step #3: Determine the number of total outcomes. Step #4: Write the probability as a ratio and reduce if necessary. Step #5: Write the probability as a percentage. Hint: Divide the numerator by the denominator then convert the decimal to a percentage. Sarah has a collection of bracelets. The table shows the amount of each type. 1. What is the probability if a bracelet is chosen at random, that Sarah will get a silver bracelet? Event: _____ Total Outcomes: _____ Ratio: ________________________ Percent: __________ 15 3 20% 2. A car has 2 tall clowns and 6 short clowns in it. Find the probability that a short clown will get out of the car first. Event: _____ Total Outcomes: _____ Ratio: ________________________ Percent: __________ 6 8 75%

7. Independent Practice Name ___________________________ Probability is the likelihood or chance that an event will occur. Represent probability as ratios and percentages. Step #1: Read the question carefully. a. Underline what you are finding the probability of. Step #2: Write the number of ways the event can occur. Step #3: Determine the number of total outcomes. Step #4: Write the probability as a ratio and reduce if necessary. Step #5: Write the probability as a percentage. Hint: Divide the numerator by the denominator then convert the decimal to a percentage. The table shows how many pairs of socks Jaime has in a drawer. 6 20 20 8 30% 40%

8. Independent Practice (continued) Name ___________________________ Probability is the likelihood or chance that an event will occur. Represent probability as ratios and percentages. Step #1: Read the question carefully. a. Underline what you are finding the probability of. Step #2: Write the number of ways the event can occur. Step #3: Determine the number of total outcomes. Step #4: Write the probability as a ratio and reduce if necessary. Step #5: Write the probability as a percentage. Hint: Divide the numerator by the denominator then convert the decimal to a percentage. 20 5 25% 12 30 40%

9. Periodic Review 1 Name ___________________________ Probability is the likelihood or chance that an event will occur. Represent probability as ratios and percentages. Step #1: Read the question carefully. a. Underline what you are finding the probability of. Step #2: Write the number of ways the event can occur. Step #3: Determine the number of total outcomes. Step #4: Write the probability as a ratio and reduce if necessary. Step #5: Write the probability as a percentage. Hint: Divide the numerator by the denominator then convert the decimal to a percentage. 6 24 8 40 25% 20%

10. Periodic Review 2 Name ___________________________ Probability is the likelihood or chance that an event will occur. Represent probability as ratios and percentages. Step #1: Read the question carefully. a. Underline what you are finding the probability of. Step #2: Write the number of ways the event can occur. Step #3: Determine the number of total outcomes. Step #4: Write the probability as a ratio and reduce if necessary. Step #5: Write the probability as a percentage. Hint: Divide the numerator by the denominator then convert the decimal to a percentage. 3 25 16 32 50% 12%

11. Periodic Review 3 Name ___________________________ Probability is the likelihood or chance that an event will occur. Represent probability as ratios and percentages. Step #1: Read the question carefully. a. Underline what you are finding the probability of. Step #2: Write the number of ways the event can occur. Step #3: Determine the number of total outcomes. Step #4: Write the probability as a ratio and reduce if necessary. Step #5: Write the probability as a percentage. Hint: Divide the numerator by the denominator then convert the decimal to a percentage. 6 40 11 44 25% 15%

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