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7th Math 3.18

Last updated over 2 years ago

7 questions

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Math - [Lesson 3.18]
Teacher: Mr. Kovalik (408) 314-1092

Objective and Summary:
SWBAT compute both circumference and area of partial circles

Question 1

1.

Calculate 1--The diameter is 14 centimeters. What is the area of only the purple 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

CFS:
#1: Uses appropriate formula based on context
#2: Accurately calculates using the formula

Question 2

2.

Calculate 2--The diameter is 14 centimeters. What is the length of the outside curved line marked in orange?

"The length of the orange curved line is..."

Leave your answer in terms of π.
Symbols for copy and paste: π , r², r^2

CFS:
#1: Uses appropriate formula based on context
#2: Accurately calculates using the formula

Use this as an anchor chart if you need to remind yourself on the difference between radius and diameter: 

Question 3

3.

NY Slice--The picture below is of a tiny slice of pizza. What is the area of the pizza slice?

"The area of the pizza slice is..."

Leave your answer in terms of π.
Symbols for copy and paste: π , r², r^2

CFS:
#1: Uses appropriate formula based on context
#2: Accurately calculates using the formula

MEDIUM PROBLEMS

Question 4

4.

Laps--What is the distance around the curved part of the semicircle?

"The distance around the curved part of the semicircle is..."

Leave your answer in terms of π.
Symbols for copy and paste: π , r², r^2

CFS:
#1: Uses appropriate formula based on context
#2: Accurately calculates using the formula

Question 5

5.

SPICY--Try if you have time (optional)

Watering Problem--Kenneth put two sprinkler heads at the center of the two small semicircles. The radius of the sprinklers is 5 ft.
If the area in the largest semicirclular area is the shape of the entire lawn, how much of the lawn will not be watered?
(In other words, find the area in purple)

Leave your answer in terms of π.
Symbols for copy and paste: π , r², r^2

CFS:
#1: Uses appropriate formula based on context
#2: Accurately calculates using the formula

Question 6

6.

This is a two-part exit ticket. Make sure to do BOTH a) and b)

New Business--Mancini Gardening Co. designs different-shaped lawns for its customers.
a) Mr. Mancini needs to know how many square meters of grass he will need to cover the semicircular section of lawn in his new design.
Leave your answer in terms of π.

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

CFS:
#1: Uses appropriate formula based on context
#2: Accurately calculates using the formula

Question 7

7.

New Business--Mancini Gardening Co. designs different-shaped lawns for its customers.
b) He also needs to create a small fence to go around the outside curved part of the lawn. How many meters of fencing will he need?
Leave your answer in terms of π.

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

CFS:
#1: Uses appropriate formula based on context
#2: Accurately calculates using the formula