# Quarter 3, Week 8: February 26th – March 2nd

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Teacher Felicia Taylor Geometry Honors 8th 26 7: Two-Dimensional Measurements
Standard(s) Taught

MAFS.912.G.C-2.5

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.G-GMD.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.G-GPE.2.7

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

MAFS.912.G-MG.1.1

Use geometric shapes, their measures, and their properties to describe objects.

MAFS.912.G-MG.1.2

Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile).

MAFS.912.G-MG.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
• 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
• Geometric Probability
• Quizlet Live
• Geometric Probability
• Lecture
• Geometric Probability
• 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

1. IXL – S.3 Area of Parallelograms and Triangles – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
2. IXL – S.2 Area of Rectangles and Squares – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
3. IXL – S.4 Area of Trapezoids – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
4. Worksheet – Areas of Regular Polygons (ODD PROBLEMS ONLY) – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
5. IXL – S.1 Perimeter – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)
6. IXL – S.10 Area and Perimeter of Similar Figures – due Thursday, March 1st (2nd Period) / due Friday, March 2nd (7th & 8th Periods)

Nearpod Notes:

1. Areas of Parallelograms and Triangles – Nearpod Code: XWPEH
2. Areas of Trapezoids, Rhombuses and Kites – Nearpod Code: CEAKY
3. Areas of Regular Polygons – Nearpod Code: NHKEI
4. Perimeters and Areas of Similar Figures – Nearpod Code: BLFSN
5. Circles and Arcs – Nearpod Code: ZFXLV
6. Areas of Circles and Sectors – Nearpod Code: GNEDV
7. Geometric Probability – Nearpod Code: EVMAI

Quizlet:

• 2nd Period:  https://quizlet.com/join/SFK4d2ykF
• 7th Period:  https://quizlet.com/join/4BCc8kUXt
• 8th Period:  https://quizlet.com/join/mqEJQXrBn

Nearpod Exit Tickets:

1. Areas of Parallelograms and Triangles – Nearpod Code: TVYPQ
2. Areas of Trapezoids, Rhombuses and Kites – Nearpod Code: VAMCT
3. Areas of Regular Polygons – Nearpod Code: NIADL
4. Perimeters and Areas of Similar Figures – Nearpod Code: YHASK
5. Circles and Arcs – Nearpod Code: SDCJO
6. Areas of Circles and Sectors – Nearpod Code: JDEMR
7. Geometric Probability – Nearpod Code: NJCHE

Nearpod Bellringers:

1. Areas of Parallelograms and Triangles – Nearpod Code: OJFLM
2. Areas of Trapezoids, Rhombuses and Kites – Nearpod Code: IYVHZ
3. Areas of Regular Polygons – Nearpod Code: HRPLZ
4. Perimeters and Areas of Similar Figures – Nearpod Code: TKZAS
5. Circles and Arcs – Nearpod Code: KPQMT
6. Areas of Circles and Sectors – Nearpod Code: ADQGC

Geometry Nation:

Also see the following videos in Geometry Nation, for more help:

1. Section 6, Topic 3:  Area and Perimeter in the Coordinate Plane – Part 1
2. Section 6, Topic 4:  Area and Perimeter in the Coordinate Plane – Part 2
3. Section 11, Topic 6:  Area of n-gons
4. Section 12, Topic 1:  Circumference of a Circle
5. Section 12, Topic 2:  Area and Circumference of a Circle
6. Section 12, Topic 3:  Area of a Circle
7. Section 12, Topic 4:  Sectors of a Circle
8. Section 14, Topic 9:  Areas in Real-World Contexts