Dynamic geometry software

Use GeoGebra to make constructions that fit the criteria below.

Constructions

Choose one of the following subproblems, which must be unique from your fellow group members:

A. Start with a parallelogram…

B. Start with a quadrilateral

C. Start with a triangle

D. Start with a triangle

E. Start with a quadrilateral

Crossed ladders (revisited)

Create a sketch to help solve the crossed ladders problem.

The sketch should …

Challenge (+1 TP)

Create an easy way for students to change the lengths of the ladders.

Fractions

Create a visual representation of a fraction that students can manipulate. Also create a handout with directions to create the representation.

  1. Create a visual representation of a fraction that students can manipulate.
  2. Create a set of step-by-step instructions that could be used to recreate your visual representation.

Challenge (+2 TP)

Create an interactive, visual model to aid students' understanding of fraction addition, \( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \).

May reduce denominators to maximum of 5. May also "fix" the construction to certain coordinate points in order to simplify the creation process.

Discussion questions

  1. Provide a link to your favorite worksheet on GeoGebra materials. Why is it your favourite?
    (Note: You cannot pick my favourites that I gave above. Sorry.)

SUBMISSION

  1. Publish the assignment to your EduBlog by:
  2. By submitting the assignment, you acknowledge that all work is your own.

Special note: Use "Menu > Share > Shared" to get a sharable link. This will require you to sign in via Google.

GeoGebra - Scoring guide 20 TP

Constructions

  • Can be manipulated in appropriate ways without breaking the construction (2 TP)
  • Meets all construction criteria (1 TP)
  • Resulting shape is clearly identifiable (1 TP)
  • Makes reasonable conjecture about the resulting shape (1 TP)

Crossed ladders (revisited)

  • Can be manipulated in appropriate ways without breaking the construction (2 TP)
  • Interactive (1 TP)
  • Clear instructions for student (1 TP)
  • Correct answer achievable (or very close approximation) (1 TP)

Fractions

  • Can be manipulated in appropriate ways without breaking the construction (2 TP)
  • Visual representation clearly shows the part-whole relationship of fractions. (1 TP)
  • Numerator and denominator ranges are appropriate (1 TP)
  • Deals with fractions greater than one in an appropriate manner (1 TP)

Instructions _____ provides all the steps needed to recreate the visual representation.

  • 4 - very clearly
  • 3
  • 2
  • 1
  • 0 - does not

Discussion questions

  • Provides link and reason(s) justifies choice (1 TP)

CHALLENGES

  • Crossed ladders can also change initial conditions (+1 TP)
  • Visual representation and interaction supports formula for fraction addition (+2 TP)

Points: 0