372 Area and Perimeter Dissection by HC120915133523

VIEWS: 1 PAGES: 5

									                 372 Area and Perimeter Dissection
                           Teacher Notes

Materials
 Tangram Pieces (1 set per group of 2 or 3 students)
 Picture Template(s) (1 per group of 2 or 3 students)
 7th Grade TAKS Formula Chart (1 per student)
 372 Area and Perimeter Dissection Student Sheet (1 per student)
 Hint Cards (1 set per teacher)
 Area Samples (to be made by teacher). These are posters displaying how to find the area of each figure. (1
  set per teacher)

Objective
Students will review finding the area and perimeter of basic and composite shapes in a problem solving
setting. (Teacher is considered the HELP desk in this activity.)

Procedures
1. Explain to the students that they will be reviewing themselves on the concept of area and perimeter of
   basic shapes. Explain that the will be the teachers and learners and that you are the HELP desk and that
   they should come to you after seeking out all of the other help options that are provided. At this time
   show them the area sample posters and the hint cards.

2. Give the students a brief overview of the activity and the tasks that they will need to accomplish. Point
   out the point values allotted to each section. Remind the students that they will have 2 days to finish this
   activity, so they will need to manage their time wisely.

3. Assign students to groups of 2 or 3 students or allow students to pick their own partner(s).

4. Pass out needed materials and allow each group to choose the picture template they would like to use.

5. Students should work with their partners to complete each part of the activity.


****Part I Suggestion: This part would be best timed. This part serves as an engagement and problem solving
piece. One option is to give the students 5 minutes to try and fit the pieces into the polygon of their choice.
After 5 minutes tell them the placement of 1 or 2 pieces, then give them 5 more minutes to complete it. If they
aren’t done in 10 minutes then give them the placement of the pieces.****

****Watch the students to be sure none of them use the ruler to measure the larger polygon. They must use
the tangram pieces. Some of the measurements are rounded to the nearest half. If they use a ruler, they will
get a different answer.****
Tangram Template

                                    12 cm




                             9 cm               9 cm          4.5




                                                                    6 cm
                                                               cm
                     9 cm


                                                  4.5
             12 cm




                                                   cm

                                      4.5
                                       cm
                     9 cm
                                     6 cm




                                                                    6 cm
                                    6 cm               9 cm

                                       4.5 cm
                      3 cm




                                                       6 cm


                                    12 cm




                             9 cm               9 cm          4.5
                                                                    6 cm



                                                               cm
                     9 cm


                                                  4.5
             12 cm




                                                   cm

                                      4.5
                                       cm
                     9 cm
                                     6 cm
                                                                    6 cm




                                    6 cm               9 cm

                                       4.5 cm
                      3 cm




                                                       6 cm
                372 Area and Perimeter Dissection
                                            Student Sheet


Part I (5 points)

1. Use the Tangram pieces to make the larger polygon of your choice. Every piece will be used. If you
   struggle, your teacher may give you a hint. Ask nicely…

2. Make a sketch of your solution below.




Part II (15 points)
                                                                             Hints are provided if you
3. Find the perimeter of the whole polygon.                                  get stuck. Look for the
        Use the measurements provided on each tangram piece.                hints labeled Part II.
                                                                             There are 3 hints. Use
        Show your work below.
                                                                             all, none or just 1 or 2.
        Put a box around your final answer.




4. Explain the process you used for finding the perimeter of the whole object.




Part III (55 points)
                                                                                 Hints are provided if you get stuck.
5. Find the area of the whole polygon.
                                                                                 Look for the hints labeled Part III.
        Use the measurements provided on each tangram piece.                    There are 4 hints. Use all, none or just
        Show your work below in an ORGANIZED fashion.                           1 or 2.

        Put a box around your final answer.
6. Explain the process you used for finding the area of the whole object.




Part IV (16 points)

7. Use all of the tangram pieces to create your own design/picture. Sketch your design/picture below.




8. Is the perimeter of your design/picture the same as the original polygon? Explain your reasoning.
   (One hint is available: Part IV Hint 1.)




9. Is the area of your design/picture the same as the original polygon? Explain your reasoning.
   (One hint is available: Part IV Hint 2.)




Part V (9 points)

What will this look like on TAKS?

                                                                                                                                          1
10.     Marilou needs to cut a piece of glass for her table. The table is in the shape of a regular hexagon. The glass should measure 1     feet on
                                                                                                                                          2
        each side. What is the perimeter of the piece of glass?

                 A. 12 ft.                       B. 9 ft.                        C. 18 ft.                 D. 7.5 ft.




11.     A pest-control company was hired to spray the lawn represented by the shaded region shown below.

                                                                200 ft.


                                                                     40 ft.

                 100 ft.                 24 ft. Garage               House    40 ft.

                                                   30 ft.




        What was the area in square feet that was sprayed?

                                 2                               2                               2                         2
                 A. 19,280 ft.                   B. 20,000 ft.                   C. 37,680 ft.             D. 17,680 ft.




12.     A farmer knows the length and width of his rectangular pasture. He also knows how many pounds of fertilizer to spread per square yard.
        What additional information does the farmer need to know in order to determine the number of bags of fertilizer he should buy?

                 A.          The type of grass in his pasture

                 B.          The number of bags of fertilizer his truck will hold

                 C.          The price of each bag of fertilizer

                 D.          The number of pounds of fertilizer in each bag

								
To top