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In this assignment, you will do what all teachers do: look at the content you need to teach and come up with a lesson or an assessment (real-life application, not a test) for that content.1) Select the course/grade level that you think you’d like to teach and look at the Common Core State Standards for Mathematics which can be found here (Links to an external site.). Select one or more standards. (If you pick more than one, make sure they go together well.)2) Find or design a lesson to teach the standard(s) in an inquiry way (where students discover the rule on their own). You do not have to create this from scratch! Teachers borrow from whatever they can find on the internet along with creating their own. If you choose to use or adapt someone else’s work, just be sure to cite the source/give them credit.3) Your work will likely take one side or two sides of a page (no more!!). Be sure to include the standard that you are focused on so that I can see how well the activity/assessment relates to it

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CIRCLES AND ANGLES (CCSS. MATH. CONTENT. HSG. C.A. 2)

Write the coordinates of the points from the figure below:

A = ________________

B = ________________

C = ________________

Find the missing side of the triangle and calculate the area of the circle.

Write the coordinates of the points from the

figure below:

A = ________________

B = ________________

C = ________________

Find the missing side of the triangle and calculate

the area of the circle.

What are the differences between the two graphs above?

What are the similarities between the two graphs above?

What do the words “inscribe” and “circumscribe” mean?

Classwork: Follow the instructions. Calculate the values of the missing angles, segment, or sides.

For the figure at the left, point B is the center of the circle.

Given the information about the lengths below, find the length of ̅̅̅̅

BF.

1. EC = 12, AB = 14

2. EC = 33, AB = 19

3. FD = 3, EF = 8

4. EF = 7, FD = 4

For every value of the adjacent and opposite leg, calculate the diameter

and area of the circle.

1. YZ = 4, 𝑋𝑌 = 6

2. YZ = 10, 𝑋𝑌 = 24

3. YZ = 8, 𝑋𝑌 = 15

4. YZ = 56, 𝑋𝑌 = 33

Calculate the measurement of the arcs.

1. If angle 1 is equal to 50° and angle 2 is equal to 30°, find the lengths of

arcs AB and DC.

2. Find the lengths of arcs AD and BC.

3. Find the circumference of the circle.

CIRCLES AND SECTORS (CCSS. MATH. CONTENT. HSG. C.B. 5)

If ̅̅̅̅

OH has a length of 6 units, find the length of the following:

̅̅̅̅ = ________________

FH

̅̅̅̅

GH = ________________

̅̅̅̅

FO = ________________

̅̅̅̅

OG = ________________

Find the area of the sector formed by triangle FOH.

Find the area of circle O.

If ̅̅̅̅

AO has a length of 6 in and the area of the shaded sector is 12𝜋 in2 ,

find the length of the following:

̅̅̅̅

OC = ________________

Minor arc AC = ________________

Major arc AC = ________________

Find the measurement of the minor angle AOC.

Convert the angle from degrees to radian.

What are the differences between the two graphs above?

What are the similarities between the two graphs above?

What do the words “sector” and “radian measure” mean?

Classwork: Follow the instructions. Calculate the values of the missing angles, segment, or sides.

For the figure at the left, point E is the center of the circle.

Given the information about the lengths below, find the length of minor

arc GH.

1. GE = 6

2. GE = 13

3. HE = 10

4. HE = 3

If the triangle inscribed in a circle has a diameter of 15 cm, find the

measurement of the following:

1. ̅̅̅̅

𝑌𝑂 = ________________

2. ̅̅̅̅

𝑌𝑍 = ________________

̅̅̅̅ = ________________

3. 𝑋𝑌

4. ̅̅̅̅

𝑋𝑍 = ________________

5. The area of the circle = ________________

5. The area of the sector created by triangle XOY = ________________

6. The area of the sector created by triangle YOZ = ________________

A

The angle ABC is inscribed in circle B. The radius of the circle is r and has

an angle of θ. The length of the arc is L.

B

C

Find the area of the circular sector using the information provided.

In this assignment, you will do what all teachers do: look at the content you need to

teach and come up with a lesson or an assessment (real-life application, not a test) for

that content.

1) Select the course/grade level that you think you’d like to teach and look at the

Common Core State Standards for Mathematics which can be found here (Links to an

external site.). Select one or more standards. (If you pick more than one, make sure

they go together well.)

2) Find or design a lesson to teach the standard(s) in an inquiry way (where students

discover the rule on their own). You do not have to create this from scratch! Teachers

borrow from whatever they can find on the internet along with creating their own. If you

choose to use or adapt someone else’s work, just be sure to cite the source/give them

credit.

3) Your work will likely take one side or two sides of a page (no more!!). Be sure to

include the standard that you are focused on so that I can see how well the

activity/assessment relates to it

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Common Core State Standards

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