Presentation is loading. Please wait.

Presentation is loading. Please wait.

Five-Minute Check (over Chapter 11) Mathematical Practices Then/Now

Similar presentations


Presentation on theme: "Five-Minute Check (over Chapter 11) Mathematical Practices Then/Now"— Presentation transcript:

1 Five-Minute Check (over Chapter 11) Mathematical Practices 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

2 Find the volume of a rectangular prism with length of 6 inches, width of 5 inches, and height of 4.5 inches. A. 159 in3 B. 145 in3 C. 135 in3 D. 120 in3 5-Minute Check 1

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

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

5 Find the volume of a cylinder with radius of 8 feet and height of 12 feet.
A. 84 ft3 B ft3 C ft3 D ft3 5-Minute Check 4

6 What is the density of a cube that has a side length of 8 centimeters and a mass of 950 grams? Round to the nearest tenth. A. 1.6 g/cm3 B. 1.9 g/cm3 C. 5.4 g/cm3 D g/cm3 5-Minute Check 5

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

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

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

10 multi-stage experiment Fundamental Counting Principle
sample space tree diagram two-stage experiment multi-stage experiment Fundamental Counting Principle Vocabulary

11 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, B R, B B, R Example 1

12 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

13 Represent a Sample Space
Tree Diagram Example 1

14 One yellow token and one blue token are placed in a bag
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. A. B. C. D. Y, Y; B, B; Y, B Example 1

15 The sample space is the result of 4 stages. ● Dressing (F, R, or BC)
MultiStage 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

16 MultiStage Tree Diagrams
Answer: Example 2

17 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

18 Concept

19 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. exterior interior seat engine computer wheels doors possible color color outcomes ,160 × = Answer: So, a consumer can create 83,160 different possible cars. Example 3

20 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


Download ppt "Five-Minute Check (over Chapter 11) Mathematical Practices Then/Now"

Similar presentations


Ads by Google