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Area of Parallelograms: Composing and Manipulating Shapes

Learn how to find the area of parallelograms by composing them into rectangles and manipulating their shapes. Solve real-world and mathematical problems using these techniques.

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Area of Parallelograms: Composing and Manipulating Shapes

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  1. DO NOW: 1. Take out your homework2. Put your name on your new packet3. What are some things that you notice? What are some things that you wonder?

  2. Area of Parallelograms I will be able to Find the area of polygons by composing into rectangles; apply these techniques in the context of solving real-world and mathematical problems. So that I can learn how to draw and label the height to find the area, as well as manipulate a parallelogram to understand why it shares a similar formula to finding the area of a rectangle. I will show I know it when I can verbally discuss with my partners the strategy to make a rectangle from a parallelogram and then correctly calculate the area of at least 6 parallelograms with my partners with at least 80% accuracy. 6.G.A.1

  3. Vocabulary: Parallelogram Compose Triangle Rectangle Quadrilateral Trapezoid Decompose Polygon Height Area Base calculate

  4. Take a new packet and fill in your information. Copy on to page 1

  5. What if I told you these 2 shapes have the same area. How is this possible? Turn and talk to your partner. How can we manipulate our parallelogram to transform it into a rectangle? Turn and talk to your partners.

  6. Now we are going to give you a parallelogram, take 2 minutes to use your scissors to cut and manipulate your parallelogram to prove that they do have the same area as the rectangle. Turn and talk to your partners about your strategy to make a rectangle from your parallelogram. What is the area formula for a rectangle? (A=lw or A=bh) If they have the same area, can we use the formula for area of a rectangle to find the area of a parallelogram?

  7. If we look at a rectangle, where is the base? When I move the triangle to make the parallelogram, has the length of the base changed? What do you notice about the height of the rectangle? What line are you using to measure the height? The height of the rectangle is perpendicular to our base (perpendicular means to bisect or intersect another line to form a 90 degree angle). The height has to be perpendicular to the base, think about when you measure your height. Do you lean at an angle, or are you standing straight up? When we move the triangle from the rectangle to form our parallelogram, where is the height now? (It is always the line that is perpendicular to the base.)Therefore, when we calculate the area of a parallelogram, we can use the formula, base x height.

  8. Classwork • Work with your partners to solve pages 2-4 • You will have about 20 minutes before we check in.

  9. How do you feel? topic.

  10. Ticket to go find the area of:

  11. Homework • Pg. 1

  12. Accommodations • Read or reread presentation or activity directions, as needed or after prompting • Use examples to model and act as a guide for emerging learners

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