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

Sorry, but you do not have permission to view this content.

TeacherFelicia Taylor
Subject AreaGeometry Honors
Grade Level8th
Week #26
Unit of Instruction7: 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)
Additional Resources

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:

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:

  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

KhanAcademy

In addition, www.khanacademy.com is always a good help!