7th Math Unit 3 Day 20 - 3/1

Last updated over 1 year ago
7 questions
Objective and Summary:
SWBAT find the area of composite shapes
CFS:
#1: Accurately identifies necessary shapes and formulas
#2: Accurately computes area with correct operation and units
1

Tabletop--Mr. K 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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1

Key—Find the area of the basketball court to the right. Be careful to use the radius! After you get your answer in terms of π, estimate by using 3.14 instead.

"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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1

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

1

Lawn—Central Park is a giant square with a semicircular food area. Find the area of only the shaded region. After you get your answer in terms of π, estimate by using 3.14 instead.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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