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7th Math 3.20

Last updated over 2 years ago

5 questions

1

1

1

1

4

Math - [Lesson 3.20]
Teacher: Mr. Kovalik (408) 314-1092
Objective and Summary:
SWBAT find the area of composite shapes

Question 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

Question 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

MEDIUM PROBLEMS

Question 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

Question 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

Question 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