CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving...
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Transcript of CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving...
Content Standards
Mathematical Practices
1 Make sense of problems and persevere in solving them.
2 Reason abstractly and quantitatively.
You calculated experimental probability.
• Use lists, tables, and tree diagrams to represent sample spaces.
• Use the Fundamental Counting Principle to count outcomes.
• sample space
• tree diagram
• two-stage experiment
• multi-stage experiment
• Fundamental Counting Principle
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
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.
Represent a Sample Space
Tree Diagram
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
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
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.
Multi-Stage Tree Diagrams
Answer:
Multi-Stage Tree Diagrams
Answer:
A. 3
B. 4
C. 5
D. 6
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
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?
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 possiblecolor color outcomes
11 7 5 3 6 4 3 83,160 × × × × × × =
Answer:
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 possiblecolor color outcomes
11 7 5 3 6 4 3 83,160 × × × × × × =
Answer: So, a consumer can create 83,160 different possible cars.
A. 3,888
B. 3,912
C. 4,098
D. 4,124
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
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?