Difference between revisions of "Permutations And Combinations permutations activity1"
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==Website interactives/ links/ simulations/ Geogebra Applets== | ==Website interactives/ links/ simulations/ Geogebra Applets== | ||
==Process (How to do the activity)== | ==Process (How to do the activity)== | ||
| − | + | *Set the stage for the students as if they are working at the "Create-a-Bear" store in the mall. Their job is to make a poster showing all of the possible ways the bears can be placed in a line (permutations).*Use the paper bears to discover all of the possible orders in which you can put them in line. Suggestion: use three bears to begin with, then more or less. | |
*Organize the different arrangements so that patterns can be easily detected using a chart, organized list, or other model. | *Organize the different arrangements so that patterns can be easily detected using a chart, organized list, or other model. | ||
*Record all of the possible permutations (order in which they can be arranged) in an organized fashion using a tree diagram, organized list, table, picture, etc. | *Record all of the possible permutations (order in which they can be arranged) in an organized fashion using a tree diagram, organized list, table, picture, etc. | ||
| − | + | *Have students work in groups or individually to use the paper bears to find all of the orders in which the bears can be arranged in line if there are 3 bears. (You may change the number as desired.) | |
| − | + | *Have students record their results as a tree diagram, orga¬nized list, chart, etc., on the blank paper. It's important that the students see a connection between the manipulatives and the diagrams they create. | |
| − | + | *Discuss the mathematical patterns that exist in this problem | |
| + | |||
==Developmental Questions (What discussion questions)== | ==Developmental Questions (What discussion questions)== | ||
#What is the task did you got here? | #What is the task did you got here? | ||
Revision as of 12:12, 7 August 2014
Activity - Create-a-Bear Permutations
==Estimated Time== 40 min
Materials/ Resources needed
- Blank Paper
- Pencils
- Colored pencils, crayons, or markers
- Clear bags for paper manipulatives
- Paper manipulatives copied, cut and placed in plastic bags
Prerequisites/Instructions, if any
- Today the students will be working at the Create-a-Bear store in the mall. They will be creating a display to show all of the little children how they can dress the bears.
- The big decision is this: in what order do you want to line the bears up in the display?
Multimedia resources
Website interactives/ links/ simulations/ Geogebra Applets
Process (How to do the activity)
- Set the stage for the students as if they are working at the "Create-a-Bear" store in the mall. Their job is to make a poster showing all of the possible ways the bears can be placed in a line (permutations).*Use the paper bears to discover all of the possible orders in which you can put them in line. Suggestion: use three bears to begin with, then more or less.
- Organize the different arrangements so that patterns can be easily detected using a chart, organized list, or other model.
- Record all of the possible permutations (order in which they can be arranged) in an organized fashion using a tree diagram, organized list, table, picture, etc.
- Have students work in groups or individually to use the paper bears to find all of the orders in which the bears can be arranged in line if there are 3 bears. (You may change the number as desired.)
- Have students record their results as a tree diagram, orga¬nized list, chart, etc., on the blank paper. It's important that the students see a connection between the manipulatives and the diagrams they create.
- Discuss the mathematical patterns that exist in this problem
Developmental Questions (What discussion questions)
- What is the task did you got here?
- How many bears are to be arranged on the display board?
- What are the colors of bears?
Evaluation (Questions for assessment of the child)
How many different 2 digit numbers can be formed using the digits 1,2,3 and 4?
Question Corner
Activity Keywords
To link back to the concept page Permutations_And_Combinations