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| 1) Find an object in your home that has a rectangular face. Estimate its perimeter. Estimate its area. Measure its length and width in centimeters or millimeters. Click here to print out the chart to record the results and then calculate the perimeter and area. State the letter of the answer and then the answer.
a. What are the dimensions of the rectangle?
b. What was the estimated perimeter?
c. What was the actual perimeter?
d. What was estimated area?
e. What was the actual area?
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| 2) Find an object in your home that has a square face. Estimate its perimeter. Estimate its area. Measure its length and width in centimeters or millimeters. Click here to print out the chart to record the results and then calculate the perimeter and area. State the letter of the answer and then the answer.
a. What are the dimensions of the square?
b. What was the estimated perimeter?
c. What was the actual perimeter?
d. What was estimated area?
e. What was the actual area?
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| 3) Find another item in your house that has a face that you think may have the same perimeter as either the rectangle or square above. Find its perimeter. Compare the results with the shape that you selected. Make a clear statement comparing the two shapes’ perimeters.
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| 4) Find one more item in your house that has a face that you think may have the same area as either the rectangle or square above. Find its area. Compare the results with the shape that you selected. Make a clear statement comparing the two shapes’ areas.
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Effects of Doubling Dimensions
Use the triangle to solve problems #5 through #8.
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| 6) Double its dimensions and then find the perimeter. Make a statement comparing the original triangle’s perimeter with the perimeter of the triangle created by doubling the dimensions.
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| 8) Double its dimensions and then find the area. Make a statement comparing the original triangle’s area with the area of the triangle created by doubling the dimensions.
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Mr. Jones plans to use his barn as one side of a rectangular corral. He has 140 yards of fencing to use to form the other three sides of the corral. Mr. Jones wants to find the length and width combination that would give him the greatest area for his corral. First draw a sketch of the problem. Use the sketch to solve problems #11 through #13.
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| 11) Click here to print out the table. Begin your investigation by comparing areas for different length and width combinations. Fill in the length, width, total fence used, and area. State the length, width, total fence used, and the area for each of the combinations you filled in the chart.
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| 12) What length and width combination encloses the greatest area in the problem #11?
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| 13) Click here to print out the graph provided and make a scatter plot of the data collected in problem #12. Describe the behavior of the pattern of data points. For example, what happens to the area as the width increases?
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For problems #14 and #15 select the measurement that would be used complete the job. Choose between perimeter and area.
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Review
Use the protractor and colored angles to answer questions #16 - #18.
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| 16) What is the measure of the blue angle? What type of angle is it?
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| 17) What is the measure of the red angle? What type of angle is it?
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| 18) What is the measure of the green angle? What type of angle is it?
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| 19) Which triangle is an obtuse isosceles triangle?
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| 21) Name two polygons that have more than five sides. Also state the number of sides for the polygons named.
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| 22) Compute.
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| 23) Compute.
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| 25) Fill in the blank with the type of triangle that fits the best description. Choose from the terms given. State the letter and the answer.
equilateral & acute scalene & acute isosceles & right
isosceles & obtuse scalene & obtuse scalene & right
scalene & right isosceles & acute
_______________a. No sides congruent, angles measure 80°, 30°, and 70°
_______________b. No sides congruent, has one angle that measures 90°.
_______________c. Two sides congruent, angles measure 50°, 50°, and 80°
_______________d. No sides congruent, has one angle that measures 130°
_______________e. Two sides congruent, has one angle that measures 90°
_______________f. All sides congruent, all angles measure 60°
_______________g. Two sides congruent, has one angle that measures 100°
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| 26) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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