Standard(s) Taught 

MAFS.912.G.C2.5
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, derive the formula for the area of a sector.
MAFS.912.GGMD.1.1
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. (Use dissection arguments, Cavalieri’s principle, and informal limit arguments.)
MAFS.912.GGPE.2.7
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
MAFS.912.GMG.1.1
Use geometric shapes, their measures, and their properties to describe objects.
MAFS.912.GMG.1.2
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile).
MAFS.912.GMG.1.3
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

Learning Targets and Learning Criteria 

I can…
 calculate the area of a circle
 define and derive the sector area
 calculate the area of a sector using the ratio of the intercepted arc measure by degrees multiplied by the area of the circle
 define regular polygons
 inscribe a regular polygon in a circle and break it into many congruent triangles to find its area
 explain and use the dissection method on regular polygons to generate an area formula for regular polygons A=1/2 * apothem * perimeter
 calculate the area of a regular polygon
 use pictures to explain that a regular polygon with many sides is nearly a circle, its perimeter is nearly the circumference of a circle, and its apothem is nearly the radius of a circle.
 substitute the “nearly” values of a many sided regular polygon into A = 1/2 aP to show that the formula for the area of a circle is A = (PI) r^{2 }
 use the distance formula to compute the perimeter and area given the coordinates of vertices of a polygon like triangle, square, rectangle, kite, rhombus, trapezoid, etc.
 decompose more complex figures whose vertices are given using coordinates into familiar shaped that are easier to work with.
 convert units of measure

Classroom Activities 

Monday (2nd Period)
 kahoot! – Review
 Areas of Trapezoids, Rhombuses and Kites
 Areas of Regular Polygons
 Quizlet – Learn or FlashCards or Match; then Gravity or Test
 Perimeters and Areas of Similar Figures
 Circles and Arcs
 Quizlet Live
 Perimeters and Areas of Similar Figures
 Circles and Arcs
 Lectures (Go over examples)
 Perimeters and Areas of Similar Figures
 Circles and Arcs
 Nearpod – Exit Tickets
 Perimeters and Areas of Similar Figures
 If student scores less than 4 out of 5 correct answers on the Exit Ticket, the following homework is assigned (due in 7 days):
 IXL S.1 Perimeter
 IXL S.10 Area and perimeter of similar figures
 Circles and Arcs
 If student scores less than 4 out of 5 correct answers on the Exit Ticket, the following homework is assigned (due in 7 days):
 IXL U.1 Parts of a Circle
 IXL U.3 Arc measure and arc length
Tuesday (7th & 8th Periods)
 kahoot! – Review
 Areas of Regular Polygons
 Perimeters and Areas of Similar Figures
 Quizlet – Learn/ FlashCards/ Match; then Gravity or Test
 Circles and Arcs
 Areas of Circles and Sectors
 Quizlet Live
 Circles and Arcs
 Areas of Circles and Sectors
 Lecture (Go over examples)
 Circles and Arcs
 Areas of Circles and Sectors
 Nearpod – Exit Tickets
 Circles and Arcs
 If student doesn’t score 4 out of 5 questions or better on the Exit Ticket, the following homework is assigned (due in 7 days):
 IXL U.1 Parts of a circle
 IXL U.3 Arc measure and arc length
 Areas of Circles and Sectors
 If student doesn’t score 4 out of 5 questions or better on the Exit Ticket, the following homework is assigned (due in 7 days):
 IXL S.7 Area and circumference of circles
 IXL U.4 Area of sectors
Wednesday (All Classes – 40 minute class; Early Release Day)
 kahoot! – Review
 Perimeters and Areas of Similar Figures (2nd Period)
 Circles and Arcs (All Classes)
 Areas of Circles and Sectors (7th & 8th Periods)
 Quizlet Live
 Perimeters and Areas of Similar Figures (2nd Period)
 Circles and Arcs (All Classes)
 Areas of Circles and Sectors (7th & 8th Periods)
Thursday (2nd Period)
 kahoot! – Review
 Perimeters and Areas of Similar Figures
 Circles and Arcs
 Quizlet – Learn/ FlashCards / Match; then Gravity or Test
 Area of Circles and Sectors
 Geometric Probability
 Quizlet Live
 Areas of Circles and Sectors
 Geometric Probability
 Lecture
 Areas of Circles and Sectors
 Geometric Probability
 Nearpod – Exit Tickets
 Areas of Circles and Sectors
 If student scores less than 4 out of 5 questions correct, then the following homework is assigned (due in 7 days):
 IXL S.7 Area and circumference of circles
 IXL U.4 Area of sectors
 Geometric Probability
 If student scores less than 4 out of 5 questions correct, then the following homework is assigned (due in 7 days):
 IXL (7th Grade Tab): DD.1 Probability of simple events
Friday (7th & 8th Periods)
 kahoot! – Review
 Circles and Arcs
 Area of Circles and Sectors
 Quizlet – Learn/ FlashCards/ Match; then Gravity or Test
 Quizlet Live
 Lecture
 Nearpod – Exit Ticket
 Geometric Probability
 If student does not get at least 4 out of 5 questions correct, the following homework is assigned (due on Thursday, March 8th):
 IXL (on the 7th Grade tab): DD.1 Probability of simple events
 Nearpod – DIA 4 Review

Assignments Due 

Summatives
None
Formatives
 IXL – S.3 Area of Parallelograms and Triangles – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
 IXL – S.2 Area of Rectangles and Squares – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
 IXL – S.4 Area of Trapezoids – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
 Worksheet – Areas of Regular Polygons (ODD PROBLEMS ONLY) – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
 IXL – S.1 Perimeter – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
 IXL – S.10 Area and Perimeter of Similar Figures – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)

Additional Resources 

Nearpod Notes:
 Areas of Parallelograms and Triangles – Nearpod Code: XWPEH
 Areas of Trapezoids, Rhombuses and Kites – Nearpod Code: CEAKY
 Areas of Regular Polygons – Nearpod Code: NHKEI
 Perimeters and Areas of Similar Figures – Nearpod Code: BLFSN
 Circles and Arcs – Nearpod Code: ZFXLV
 Areas of Circles and Sectors – Nearpod Code: GNEDV
 Geometric Probability – Nearpod Code: EVMAI
Quizlet:
Enter the following link in a browser for your class period:
 2nd Period: https://quizlet.com/join/SFK4d2ykF
 7th Period: https://quizlet.com/join/4BCc8kUXt
 8th Period: https://quizlet.com/join/mqEJQXrBn
Nearpod Exit Tickets:
 Areas of Parallelograms and Triangles – Nearpod Code: TVYPQ
 Areas of Trapezoids, Rhombuses and Kites – Nearpod Code: VAMCT
 Areas of Regular Polygons – Nearpod Code: NIADL
 Perimeters and Areas of Similar Figures – Nearpod Code: YHASK
 Circles and Arcs – Nearpod Code: SDCJO
 Areas of Circles and Sectors – Nearpod Code: JDEMR
 Geometric Probability – Nearpod Code: NJCHE
Nearpod Bellringers:
 Areas of Parallelograms and Triangles – Nearpod Code: OJFLM
 Areas of Trapezoids, Rhombuses and Kites – Nearpod Code: IYVHZ
 Areas of Regular Polygons – Nearpod Code: HRPLZ
 Perimeters and Areas of Similar Figures – Nearpod Code: TKZAS
 Circles and Arcs – Nearpod Code: KPQMT
 Areas of Circles and Sectors – Nearpod Code: ADQGC
Geometry Nation:
Also see the following videos in Geometry Nation, for more help:
 Section 6, Topic 3: Area and Perimeter in the Coordinate Plane – Part 1
 Section 6, Topic 4: Area and Perimeter in the Coordinate Plane – Part 2
 Section 11, Topic 6: Area of ngons
 Section 12, Topic 1: Circumference of a Circle
 Section 12, Topic 2: Area and Circumference of a Circle
 Section 12, Topic 3: Area of a Circle
 Section 12, Topic 4: Sectors of a Circle
 Section 14, Topic 9: Areas in RealWorld Contexts
KhanAcademy
In addition, www.khanacademy.com is always a good help!
