7th Math Unit 3 Day 18 - 2/29

Last updated over 1 year ago

11 questions

7th Math Unit 3 Day 18 - 2/29

Last updated over 1 year ago

11 questions

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

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

Calculate—Find the parts of the circle in the diagram.

a. Find the area of the shaded region.

Calculate—Find the parts of the circle in the diagram.

b. What is the length of the outside of the shaded region (the circumference)?

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

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

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

Laps—What is the distance around the curved part of the semicircle? Leave your answer in terms of π.

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)

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram).

a. How much paint will she have to use to cover the entire area?

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram).

b.If Kate helps out and makes a paper border around that section of the mural, how many centimeters of paper will she have to use (be sure to use the correct formula).

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

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

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

7th Math Unit 3 Day 18 - 2/29

7th Math Unit 3 Day 18 - 2/29

Calculate—Find the parts of the circle in the diagram. a. Find the area of the shaded region.

Calculate—Find the parts of the circle in the diagram. b. What is the length of the outside of the shaded region (the circumference)?

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

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

Laps—What is the distance around the curved part of the semicircle? Leave your answer in terms of π.

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)

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram). a. How much paint will she have to use to cover the entire area?

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram). b.If Kate helps out and makes a paper border around that section of the mural, how many centimeters of paper will she have to use (be sure to use the correct formula).

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

Calculate—Find the parts of the circle in the diagram. a. Find the area of the shaded region.

Calculate—Find the parts of the circle in the diagram. b. What is the length of the outside of the shaded region (the circumference)?

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

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

Laps—What is the distance around the curved part of the semicircle? Leave your answer in terms of π.

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)

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram). a. How much paint will she have to use to cover the entire area?

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram). b.If Kate helps out and makes a paper border around that section of the mural, how many centimeters of paper will she have to use (be sure to use the correct formula).

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

Calculate—Find the parts of the circle in the diagram.

a. Find the area of the shaded region.

Calculate—Find the parts of the circle in the diagram.

b. What is the length of the outside of the shaded region (the circumference)?

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

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

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram).

a. How much paint will she have to use to cover the entire area?

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram).

b.If Kate helps out and makes a paper border around that section of the mural, how many centimeters of paper will she have to use (be sure to use the correct formula).

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

Calculate—Find the parts of the circle in the diagram.

a. Find the area of the shaded region.

Calculate—Find the parts of the circle in the diagram.

b. What is the length of the outside of the shaded region (the circumference)?

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

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

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram).

a. How much paint will she have to use to cover the entire area?

Painting—Ms. Z is painting a mural which includes a semicircular region (in the diagram).

b.If Kate helps out and makes a paper border around that section of the mural, how many centimeters of paper will she have to use (be sure to use the correct formula).

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