Perimeter & Area

Tim Brzezinski, Ronan Downes, Mar 4, 2020

Geometry: Perimeter & Area Applets

Table of Contents

  1. Area (& Perimeter)
    1. Composite Figure Template
    2. Parallelogram: Area
    3. Building Parallelograms with Given Area: Quick Formative Assessment
    4. Area of a Rhombus
    5. Triangle Area Action! (V1)
    6. Triangle Area Action!!! (V2)
    7. Area of a Triangle (Discovery)
    8. Create a Triangle with Given Area: Quick Formative Assessment
    9. Trapezoid: Area (I)
    10. Trapezoid: Area (2)
    11. Create a Trapezoid with Given Area: Quick Formative Assessment
    12. TRUE MEANING of π
    13. Circumference = ? (Animation)
    14. Circumference = ? (Animation II)
    15. Angular to Linear: Without Words
    16. Circle Area (by Peeling)
    17. Area of a Circle (III)
    18. Circle Area (By Peeling!)
    19. Scaling Figures: Effects on Areas
    20. Regular Pentagon: Area
    21. Regular Pentagon: Area (II)
    22. Area of a Regular Polygon
    23. Regular Polygons: Perimeter & Area
    24. Area of a Sector
    25. Arc Length and Area of a Sector (V1)
    26. Arc Length and Area of a Sector (V2)
    27. Segment Area: Quick Investigation
  2. Area Problems
    1. SolveMyMaths Action 3A!
    2. SolveMyMaths Action 3B!
    3. SolveMyMaths Action 4!
    4. 4 Triangles Action!!!
    5. What Fractional Part is Shaded? (1)
  3. Older Versions of Newer Materials
    1. Area of a Circle (by Peeling)
    2. Area of a Circle II
    3. Area of a Parallelogram (Discovery)
    4. Area of a Trapezoid (Discovery)

1.

Area (& Perimeter)

  • 1. Composite Figure Template
  • 2. Parallelogram: Area
  • 3. Building Parallelograms with Given Area: Quick Formative Assessment
  • 4. Area of a Rhombus
  • 5. Triangle Area Action! (V1)
  • 6. Triangle Area Action!!! (V2)
  • 7. Area of a Triangle (Discovery)
  • 8. Create a Triangle with Given Area: Quick Formative Assessment
  • 9. Trapezoid: Area (I)
  • 10. Trapezoid: Area (2)
  • 11. Create a Trapezoid with Given Area: Quick Formative Assessment
  • 12. TRUE MEANING of π
  • 13. Circumference = ? (Animation)
  • 14. Circumference = ? (Animation II)
  • 15. Angular to Linear: Without Words
  • 16. Circle Area (by Peeling)
  • 17. Area of a Circle (III)
  • 18. Circle Area (By Peeling!)
  • 19. Scaling Figures: Effects on Areas
  • 20. Regular Pentagon: Area
  • 21. Regular Pentagon: Area (II)
  • 22. Area of a Regular Polygon
  • 23. Regular Polygons: Perimeter & Area
  • 24. Area of a Sector
  • 25. Arc Length and Area of a Sector (V1)
  • 26. Arc Length and Area of a Sector (V2)
  • 27. Segment Area: Quick Investigation

1.1.

Composite Figure Template

TO USE:
1) Use the [b]SEGMENT[/b] tool to plot a segment = any side of a polygon you want to create. [br][br]2) Use the [b][color=#ff00ff]FILLSQUARE[/color][/b] tool to fill in any square unit. [br][br]Use this template to create figures with specified conditions (involving perimeter and area) your teacher gives you. After doing so, you can go to the menu (upper right) and save your construction to your GeoGebra profile.
HOW TO USE (Quick Silent Demo)
– Tim Brzezinski

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

1.8.

–

1.9.

–

1.10.

–

1.11.

–

1.12.

–

1.13.

–

1.14.

–

1.15.

–

1.16.

–

1.17.

–

1.18.

–

1.19.

–

1.20.

–

1.21.

–

1.22.

–

1.23.

–

1.24.

–

1.25.

–

1.26.

–

1.27.

–

2.

Area Problems

  • 1. SolveMyMaths Action 3A!
  • 2. SolveMyMaths Action 3B!
  • 3. SolveMyMaths Action 4!
  • 4. 4 Triangles Action!!!
  • 5. What Fractional Part is Shaded? (1)

2.1.

SolveMyMaths Action 3A!

Creation of this applet was inspired by a [url=https://twitter.com/solvemymaths/status/832686295067488258]tweet[/url] from Ed Southall ([url=https://twitter.com/solvemymaths]Solve My Maths[/url]). [br][br][b]In the regular hexagon below, how can you formally prove that the area of the original triangle and parallelogram are equal? [/b][br][br]
– Tim Brzezinski

2.2.

–

2.3.

–

2.4.

–

2.5.

–

3.

Older Versions of Newer Materials

  • 1. Area of a Circle (by Peeling)
  • 2. Area of a Circle II
  • 3. Area of a Parallelogram (Discovery)
  • 4. Area of a Trapezoid (Discovery)

3.1.

Area of a Circle (by Peeling)

[b][color=#c51414]AREA of a CIRCLE:[/color][/b][br][br]Hit the [b]"Start the Show!"[/b] button in the applet below![br]Then, answer the [color=#0a971e]questions that follow[/color]. [br][br]After answering all 7 questions, refer to the directions below the applet.
[b][color=#0a971e]After answering all 7 questions, go to the following link:[/color][/b] [br][br]http://tube.geogebra.org/material/simple/id/1844529
– Tim Brzezinski

3.2.

–

3.3.

–

3.4.

–

Information