1 / 22

Splash Screen

Splash Screen. Five-Minute Check (over Chapter 12) CCSS Then/Now New Vocabulary Example 1: Represent a Sample Space Example 2: Real-World Example: Multi-Stage Tree Diagrams Key Concept: Fundamental Counting Principle Example 3: Real-World Example: Use the Fundamental Counting Principle.

quentin-reid
Download Presentation

Splash Screen

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Splash Screen

  2. Five-Minute Check (over Chapter 12) CCSS Then/Now New Vocabulary Example 1: Represent a Sample Space Example 2: Real-World Example: Multi-Stage Tree Diagrams Key Concept: Fundamental Counting Principle Example 3: Real-World Example: Use the Fundamental Counting Principle Lesson Menu

  3. Find the surface area of a rectangular prism with length of 6 inches, width of 5 inches, and height of 4.5 inches. A. 159 in2 B. 145 in2 C. 135 in2 D. 120 in2 5-Minute Check 1

  4. Find the volume of a cone with slant height of 4.3 centimeters and radius of 3.5 centimeters. A. 85.8 cm3 B. 64.5 cm3 C. 32.0 cm3 D. 15.05 cm3 5-Minute Check 2

  5. Find the volume of a hemisphere with radius of 6 meters. A. 339.3 m3 B. 360.4 m3 C. 421.5 m3 D. 452.4 m3 5-Minute Check 3

  6. Find the lateral area of a cylinder with radius of 8 feet and height of 12 feet. A. 84 ft2 B. 603.2 ft2 C. 1005.3 ft2 D. 2412.7 ft2 5-Minute Check 4

  7. Find the surface area of a cone with slant height of 8.5 yards and radius of 3.5 yards. A. 93.4 yd2 B. 99.4 yd2 C. 131.9 yd2 D. 142.8 yd2 5-Minute Check 5

  8. The volume of a sphere is 24,429 cubic inches. What is the radius of the sphere? A. 8.7 in. B. 18.0 in. C. 19.8 in. D. 76.4 in. 5-Minute Check 6

  9. Content Standards Preparation for S.CP.9 (+) Use permutations and combinations to compute probabilities of compound events and solve problems. Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. CCSS

  10. You calculated experimental probability. • Use lists, tables, and tree diagrams to represent sample spaces. • Use the Fundamental Counting Principle to count outcomes. Then/Now

  11. sample space • tree diagram • two-stage experiment • multi-stage experiment • Fundamental Counting Principle Vocabulary

  12. Represent a Sample Space One red token and one black token are placed in a bag. A token is drawn and the color is recorded. It is then returned to the bag and a second draw is made. Represent the sample space for this experiment by making an organized list a table, and a tree diagram. Organized List Pair each possible outcome from the first drawing with the possible outcomes from the second drawing. R, R B, BR, B B, R Example 1

  13. Represent a Sample Space Table List the outcomes of the first drawing in the left column and those of the second drawing in the top row. Example 1

  14. Represent a Sample Space Tree Diagram Example 1

  15. A.B. C.D.Y, Y; B, B; Y, B One yellow token and one blue token are placed in a bag. A token is drawn and the color is recorded. It is then returned to the bag and a second draw is made. Choose the correct display of this sample space. Example 1

  16. Multi-Stage Tree Diagrams CHEF’S SALAD A chef’s salad at a local restaurant comes with a choice of French, ranch, or blue cheese dressings and optional toppings of cheese, turkey, and eggs. Draw a tree diagram to represent the sample space for salad orders. The sample space is the result of 4 stages. ● Dressing (F, R, or BC) ● Cheese (C or NC) ● Turkey (T or NT) ● Eggs (E or NE) Draw a tree diagram with 4 stages. Example 2

  17. Multi-Stage Tree Diagrams Answer: Example 2

  18. BASEBALL GAME In the bleachers at a major league game you can purchase a hotdog, bratwurst, or tofu dog. This comes with the optional choices of ketchup, mustard, onions, and/or relish. How many stages are in the sample space? A. 3 B. 4 C. 5 D. 6 Example 2

  19. Concept

  20. exterior interior seat engine computer wheels doors possible color color outcomesexterior interior seat engine computer wheels doors possible color color outcomes 11 7 5 3 6 4 3 83,160 × × × × × × = Use the Fundamental Counting Principle CARS New cars are available with a wide selection of options for the consumer. One option is chosen from each category shown. How many different cars could a consumer create in the chosen make and model? Use the Fundamental Counting Principle. Answer:So, a consumer can create 83,160 different possible cars. Example 3

  21. BICYCLES New bicycles are available with a wide selection of options for the rider. One option is chosen from each category shown. How many different bicycles could a consumer create in the chosen model? A. 3,888 B. 3,912 C. 4,098 D. 4,124 Example 3

  22. End of the Lesson

More Related