Quarter 3, Week 7: February 20th – 23rd

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TeacherFelicia Taylor
Subject AreaGeometry Honors
Grade Level8th
Week #25
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.

MAFS.912.G-GMD.1.1

Give an informal argument for the formulas for the circumference of a circle, area of a circle.

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.

Learning Targets and Learning Criteria

I can

  • calculate the area of a 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.
  • 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 that is apothem is nearly the radius of a circle.
  • substitute the “nearly” values of a many sided regular polygon into A = 1/2* apothem * perimeter to show that the formula for the area of a circle is A = (PI) r2 
  • 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 shapes that are easier to work with.
Classroom Activities

Monday (President’s Day)

No School

Tuesday (7th & 8th Periods)

  • Instruction:  Area of Parallelograms and Triangles
  • Exit Ticket:  Area of Parallelograms and Triangles
  • Instruction:  Area of Trapezoids, Rhombuses and Kites
  • Exit Ticket:  Area of Trapezoids, Rhombuses and Kites
  • Instruction:  Area of Regular Polygons
  • Exit Ticket:  Area of Regular Polygons

Wednesday (All Classes – 40 minutes each)

  • Review
    • kahoot! – Area of Parallelograms and Triangles (All classes)
    • kahoot! – Area of Trapezoids, Rhombuses and Kites (7th & 8th periods only)
    • kahoot! – Area of Regular Polygons (7th & 8th Periods only)

Thursday (2nd Period)

  • Bellringer – Area of Parallelograms and Kites
  • Instruction – Area of Trapezoids, Rhombuses and Kites
  • Exit Ticket – Area of Trapezoids, Rhombuses and Kites
  • Instruction – Area of Regular Polygons
  • Exit Ticket – Area of Regular Polygons
  • Instruction – Perimeters and Areas of Similar Figures
  • Exit Ticket – Perimeters and Areas of Similar Figures

Friday (7th & 8th Periods)

  • Review
    • kahoot
      • Areas of Parallelograms and Triangles
      • Areas of Trapezoids, Rhombuses and Kites
      • Areas of Regular Polygons
  • Bellringers
    • Areas of Parallelograms and Triangles
    • Areas of Trapezoids, Rhombuses and Kites
    • Areas of Regular Polygons
  • Instruction – Perimeters and Areas of Similar Figures
  • Exit Ticket – Perimeters and Areas of Similar Figures
  • Instruction – Trigonometry and Area
  • Exit Ticket – Trigonometry and Area
Assignments Due

Summatives

None

Formatives

None

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. Trigonometry and Area – Nearpod CODE: GJXTS

Nearpod Exit Tickets:

  1. Areas of Parallelograms and Triangles – Nearpod CODE: TVYPQ
  2. Area 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. Trigonometry and Area – Nearpod CODE: FYRIJ

Nearpod Bellringers:

  1. Areas of Parallelograms and Triangles – Nearpod CODE: OJFLM
  2. Areas of Trapezoids, Rhombuses and Kites – Nearpod CODE: IYVHZ
  3. Area of Regular Polygons – Nearpod CODE: HRPLZ
  4. Perimeters and Areas of Similar Figures – Nearpod CODE: TKZAS
  5. Trigonometry and Area – Nearpod CODE: MEWNY

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

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