AREAS OF POLYGONS Which of the following areas

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AREAS OF POLYGONS Which of the following areas are you trying to find? Parallelogram

AREAS OF POLYGONS Which of the following areas are you trying to find? Parallelogram Triangle Trapezoid

AREA OF A PARALLELOGRAM b h Welcome. Today you’re going to discover the formula

AREA OF A PARALLELOGRAM b h Welcome. Today you’re going to discover the formula for area of a parallelogram. Click to Continue

AREA OF A PARALLELOGRAM b h To do this let’s cut the left triangle

AREA OF A PARALLELOGRAM b h To do this let’s cut the left triangle and… Click to Continue

AREA OF A PARALLELOGRAM b h h slide it… Click to Continue

AREA OF A PARALLELOGRAM b h h slide it… Click to Continue

AREA OF A PARALLELOGRAM h b h slide it…

AREA OF A PARALLELOGRAM h b h slide it…

AREA OF A PARALLELOGRAM h b h slide it…

AREA OF A PARALLELOGRAM h b h slide it…

AREA OF A PARALLELOGRAM b h slide it… h

AREA OF A PARALLELOGRAM b h slide it… h

AREA OF PARALLELOGRAM b h …thus, changing it to a rectangle. What is the

AREA OF PARALLELOGRAM b h …thus, changing it to a rectangle. What is the area of the rectangle?

Congratulations!!! You Answered Correctly. Click to continue.

Congratulations!!! You Answered Correctly. Click to continue.

AREA OF A PARALLELOGRAM b h Since the area of the rectangle and parallelogram

AREA OF A PARALLELOGRAM b h Since the area of the rectangle and parallelogram are the same, just rearranged, what is the formula for the area of this parallelogram?

Congratulations!!! You Answered Correctly. Click to continue.

Congratulations!!! You Answered Correctly. Click to continue.

The next slide will take you into discovering the area of a triangle. Do

The next slide will take you into discovering the area of a triangle. Do you wish to continue? Yes No

AREA OF A TRIANGLE Hello. You will now be discovering the formula for area

AREA OF A TRIANGLE Hello. You will now be discovering the formula for area of a triangle. h b Click to Continue

AREA OF A TRIANGLE Let’s divide the triangle so that we divide the height

AREA OF A TRIANGLE Let’s divide the triangle so that we divide the height in two. ? ? b Click to Continue

AREA OF A TRIANGLE ? Remember, we divided the height into two equal parts.

AREA OF A TRIANGLE ? Remember, we divided the height into two equal parts. Now take the top and rotate… ? b Click to Continue

AREA OF A TRIANGLE ? rotate… ?

AREA OF A TRIANGLE ? rotate… ?

AREA OF A TRIANGLE ? rotate… ? b

AREA OF A TRIANGLE ? rotate… ? b

AREA OF A TRIANGLE ? rotate… ? b

AREA OF A TRIANGLE ? rotate… ? b

AREA OF A TRIANGLE ? ? b rotate…

AREA OF A TRIANGLE ? ? b rotate…

AREA OF A TRIANGLE ? ? rotate… b

AREA OF A TRIANGLE ? ? rotate… b

AREA OF A TRIANGLE ? ? b …until you have a parallelogram. How would

AREA OF A TRIANGLE ? ? b …until you have a parallelogram. How would you represent the height of this parallelogram?

AREA OF A TRIANGLE ? ? b b Remember, you divided the height in

AREA OF A TRIANGLE ? ? b b Remember, you divided the height in two. Click to Continue

AREA OF A TRIANGLE ? b What is the area of this parallelogram?

AREA OF A TRIANGLE ? b What is the area of this parallelogram?

Congratulations!!! You Answered Correctly. Click to continue.

Congratulations!!! You Answered Correctly. Click to continue.

AREA OF A TRIANGLE The area of this triangle would be the same as

AREA OF A TRIANGLE The area of this triangle would be the same as the parallelogram. Therefore, the formula for the area of a triangle is… what? h b

Congratulations!!! You Answered Correctly. Click to continue.

Congratulations!!! You Answered Correctly. Click to continue.

The next slide will take you into discovering the area of a trapezoid. Do

The next slide will take you into discovering the area of a trapezoid. Do you wish to continue? Yes No

AREA OF A TRAPEZOID Hi. Let’s derive the formula for the area for a

AREA OF A TRAPEZOID Hi. Let’s derive the formula for the area for a trapezoid. Click to Continue

AREA OF A TRAPEZOID h Remember, there are two different bases on a trapezoid.

AREA OF A TRAPEZOID h Remember, there are two different bases on a trapezoid. Click to Continue

AREA OF A TRAPEZOID ? ? First divide the trapezoid horizontally so the height

AREA OF A TRAPEZOID ? ? First divide the trapezoid horizontally so the height is divided in two. Click to Continue

AREA OF A TRAPEZOID ? ? Remember, we divided the height in two. Now,

AREA OF A TRAPEZOID ? ? Remember, we divided the height in two. Now, rotate… Click to Continue

AREA OF A TRAPEZOID ? ? rotate…

AREA OF A TRAPEZOID ? ? rotate…

AREA OF A TRAPEZOID ? ? …until, you have a parallelogram. Click to Continue

AREA OF A TRAPEZOID ? ? …until, you have a parallelogram. Click to Continue

AREA OF A TRAPEZOID ? How would you represent the height of the parallelogram?

AREA OF A TRAPEZOID ? How would you represent the height of the parallelogram?

AREA OF A TRAPEZOID ? ? ? Remember, we divided the height in two.

AREA OF A TRAPEZOID ? ? ? Remember, we divided the height in two. Click to Continue

AREA OF A TRAPEZOID ? How would you represent the base of the parallelogram?

AREA OF A TRAPEZOID ? How would you represent the base of the parallelogram?

AREA OF A TRAPEZOID ? ? ? The new base is made by connecting

AREA OF A TRAPEZOID ? ? ? The new base is made by connecting the top and bottom bases. Click to Continue

AREA OF A TRAPEZOID ? How would you represent the area of this parallelogram?

AREA OF A TRAPEZOID ? How would you represent the area of this parallelogram?

AREA OF A TRAPEZOID It is improper to add subscripts. Try again. Click to

AREA OF A TRAPEZOID It is improper to add subscripts. Try again. Click to Continue

AREA OF A TRAPEZOID Reminder. In order to add before multiplying you must use

AREA OF A TRAPEZOID Reminder. In order to add before multiplying you must use grouping symbols. Click to Continue

AREA OF A TRAPEZOID h The area of this trapezoid is the same as

AREA OF A TRAPEZOID h The area of this trapezoid is the same as the parallelogram. What is the formula for area of a trapezoid?

Congratulations!!! You Answered Correctly. Click to continue.

Congratulations!!! You Answered Correctly. Click to continue.

Sorry!!! Try again. Click to continue.

Sorry!!! Try again. Click to continue.

AREAS OF POLYGONS Once you have finished with the handouts and tests you will

AREAS OF POLYGONS Once you have finished with the handouts and tests you will have completed the unit on areas of parallelograms, triangles, and trapezoids. Have a good day. Click to Continue