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Making Parallelograms from Triangles Katie Atchley Rita Byrom Melissa Feldmann

Making Parallelograms from Triangles Katie Atchley Rita Byrom Melissa Feldmann. Investigation 6.3. AL COS: 4.c. Classifying triangles as right, obtuse, or acute; 5 Plot coordinates on grids, graphs, and maps.;

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Making Parallelograms from Triangles Katie Atchley Rita Byrom Melissa Feldmann

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  1. Making Parallelograms from TrianglesKatie AtchleyRita ByromMelissa Feldmann

  2. Investigation 6.3 AL COS: 4.c.Classifying triangles as right, obtuse, or acute; 5 Plot coordinates on grids, graphs, and maps.; 7 Developing formulas to determine perimeter and area of parallelograms and rectangles

  3. Problem of the Day Estimate the area of the triangle with the following points: (-4, 1), (-1, -4), (-1, 3) Keeping two points of the original triangle the same and plotting a third point, how many parallelograms can you form? Find the area of each parallelogram.

  4. We have discovered that triangles and other polygons are useful for building because they are stable figures. • In order to maintain their stability, architects use various formulas in their designs.

  5. Explore • Cut a triangle from your folded index card. This should create two identical triangles. • Trace the triangle on grid paper. • Record: Base, height, area, perimeter. • Experiment with putting the two triangles together to make new polygons. • Describe and sketch the polygons that are possible.

  6. Explore • Can you make a parallelogram by putting together the two identical triangles? • Record the parallelogram: • Base, height, area, perimeter • How does it compare to the measures of the original triangle?

  7. Summary • Were you always able to make a parallelogram from 2 identical triangles? • So what do the triangle and the parallelogram have in common? • From the activity we just did and what you already know about finding areas of parallelograms and rectangles, how can we find the area of a triangle without counting and estimating?

  8. Reflection • In your journal: • In the problem of the day, explain why the areas of the parallelograms you made are the same. • Summarize what you have discovered about finding the area of a triangle as it relates to a parallelogram.

  9. Homework 6.3 ACE PROBLEMS Page 60 #1 and #2 page 62 #11 page 64 #18 page 66 #22

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