7th Math 3.20

Last updated over 2 years ago
5 questions

Math - [Lesson 3.20]

Teacher: Mr. Kovalik (408) 314-1092

Objective and Summary:
SWBAT find the area of composite shapes
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

1

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
1

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

1

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

4

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