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...
![Page 1: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/1.jpg)
Content Standards
Mathematical Practices
1 Make sense of problems and persevere in solving them.
2 Reason abstractly and quantitatively.
![Page 2: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/2.jpg)
You calculated experimental probability.
• Use lists, tables, and tree diagrams to represent sample spaces.
• Use the Fundamental Counting Principle to count outcomes.
![Page 3: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/3.jpg)
• sample space
• tree diagram
• two-stage experiment
• multi-stage experiment
• Fundamental Counting Principle
![Page 4: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/4.jpg)
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
![Page 5: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/5.jpg)
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.
![Page 6: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/6.jpg)
Represent a Sample Space
Tree Diagram
![Page 7: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/7.jpg)
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
![Page 8: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/8.jpg)
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
![Page 9: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/9.jpg)
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.
![Page 10: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/10.jpg)
Multi-Stage Tree Diagrams
Answer:
![Page 11: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/11.jpg)
Multi-Stage Tree Diagrams
Answer:
![Page 12: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/12.jpg)
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?
![Page 13: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/13.jpg)
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?
![Page 14: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/14.jpg)
![Page 15: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/15.jpg)
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:
![Page 16: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/16.jpg)
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.
![Page 17: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/17.jpg)
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?
![Page 18: CCSS Content Standards Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ec55503460f94bd08f2/html5/thumbnails/18.jpg)
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?