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Biblioteka

7th Math 3.20

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Posljednje ažuriranje about 3 years ago
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MEDIUM PROBLEMS

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Math - [Lesson 3.20]

Teacher: Mr. Kovalik (408) 314-1092

Objective and Summary:

SWBAT find the area of composite shapes

Pitanje 1
1.

Tabletop--Mr. Kovalik designed a place mat for his kitchen table. He wants to know how much space it covers.

"The place mat has an area of..."

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Leave your answer in terms of π.

Symbols for copy and paste: π , r², r^2

Area formula for circles: A=πr^2.... (Area is π times radius squared)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

CFS:

#1: Accurately identifies necessary shapes and formulas

#2: Accurately computes area with correct operation and units

Pitanje 2
2.

Composite--Find the area of the shaded regions only.

"The area of the shaded regions is..."

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Leave your answer in terms of π.

Symbols for copy and paste: π , r², r^2

Area formula for circles: A=πr^2.... (Area is π times radius squared)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

CFS:

#1: Accurately identifies necessary shapes and formulas

#2: Accurately computes area with correct operation and units

Pitanje 3
3.

Circles--The following design is made of two semicircles. Find the area of the shaded region.

"The area of the shaded region is..."

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Leave your answer in terms of π.

Symbols for copy and paste: π , r², r^2

Area formula for circles: A=πr^2.... (Area is π times radius squared)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

CFS:

#1: Accurately identifies necessary shapes and formulas

#2: Accurately computes area with correct operation and units

Pitanje 4
4.

SPICY--Try if you have time (optional)

Ice Cream--Steven dropped some ice cream on the floor and it lost its shape. Find the new area of the ice cream cone.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Leave your answer in terms of π.

Symbols for copy and paste: π , r², r^2

Area formula for circles: A=πr^2.... (Area is π times radius squared)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

CFS:

#1: Accurately identifies necessary shapes and formulas

#2: Accurately computes area with correct operation and units

Pitanje 5
5.

Composite--Central Park is a giant square covered in grass, except for the semicircle that is covered with pavement to allow performances.

Find the area of the shaded region of grass only.

**You may use the calculator below**

"The area of the grass is..."

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Leave your answer in terms of π.

Symbols for copy and paste: π , r², r^2

Area formula for full circles: A=πr^2.... (Area is π times radius squared)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

CFS:

#1: Accurately identifies necessary shapes and formulas

#2: Accurately computes area with correct operation and units