Coach Raber's Triangle WebQuest!

Introduction

Today you will be completing this WebQuest on Triangles!

 

 

This Assignment is due Friday, by the end of class!

This will count for a Quiz Grade!

 

Good Luck!

Task

You will work through the first 15 websites, and last 2 websites (19 and 20), and answer the questions related. You will get today and tomorrow to work on the lab in class, so use your time wisely. If you are able to answer the questions without visiting the website, that is okay, but do not ask for help before you have visited the appropriate website.

 

Then, you will choose to complete the tasks from two of the three websites numbered #16-18. (So pick 2 out of the 3 to complete)

 

Your answers must be recorded as a power point presentation. You will NOT be presenting your work, but each Part needs to have its own slide, (For example: 1 slide will contain all of the questions and answers for Part 1, the next slide will contain all of the questions and answers for Part 2, etc)

*You will not create slides for parts 16-18

 

Good Luck, and do the best you can!

Process

Part 1:

Students will first visit Website 1

  • Classifications of triangles by sides

a)       A/An _________ has 3 sides that are equal.

b)      A/An _________ has 2 sides that are equal.

c)       A/An _________ has no sides that are equal.

  • Classifications of triangles by angles

d)      We will not be talking about equilangular triangles.

e)       A triangle that has one angle that is 90 degrees is a ______triangle.

f)       A triangle that has all 3 angles less than 90 degrees is a _____triangle.

g)       A triangle that has one angle that is greater than 90 degrees is a ___triangle.

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2. Students will visit Website 2

  • Equilateral triangle
    1. Drag all of the orange dots around.  As the triangle gets bigger what happens to the sides of the triangle?
    2. All 3 angles of an equilateral triangle are ____ which makes it also a  _________triangle.

3. Students will visit Website 3

  • Isosceles triangle
    1. Drag all of the orange dots around.  As the triangle gets bigger and smaller, what happens to the sides of the triangle?
    2. What happens to the angles?  Are any angles the same? 
    3. Make a speculation about the sides and the angles.
    4. Can an isosceles triangle be classified by its angles?  If so what can it be classified as?

4. Students will visit Website 4

  • Scalene triangle
    1. Drag all of the orange dots around.  As the triangle gets bigger and smaller, are any of the sides the same?
    2. What do we know about the interior angles of a scalene triangle?

5. Students will visit Website 5

  • Relationship of sides to interior angles in a triangle
    1. The shortest side is always opposite the _____________.
    2. The longest side is always opposite the _______________.
    3. Drag all of the points around.  Explore what happens.
    4. Is there a longest and shortest side in an equilateral triangle?

6. Students will visit website 6.

 

                      a. The triangle sum theorem states that: ________________

                      b. Calculate the value of x for each problem in worksheet 1 and worksheet 2.

 

7. Students will visit website 7:

                  a. Supplementary Angles are angles that ___________ to be ______________.

                  b. Drag the points around. Explore what happens.

                  c. When put together, what do supplementary angles make? Explain what that is..

8. Students will visit website 8:

  1. What are congruent triangles?
  2. What are the four rules we can use as “shortcuts for congruence?” Explain each.
  3. What is the additional rule for right triangles? Explain it.
  4. Why doesn’t AAA work as a congruence shortcut?
  5. Why doesn’t SSA work as a congruence shortcut?

 

9. Students will visit website 9:

How do you find the area of a triangle when:

  1. Given the base and the height?
  2. Given the length of 3 sides? (Heron’s Formula)
  3. Given Side, Angle, Side
  4. Given an equilateral triangle
  5. Given three vertices drawn on a grid.

Give an example of each.

 

10. Students will visit website 10

  1. What is the exterior angle theorem?
  2. Provide two example problems of how to use the exterior angle theorem.
  3. Provide a two-column proof of the exterior angle theorem.

 

11. Students will visit website 11

  1. What is the triangle inequality theorem?
  2. Write down the three inequalities given.
  3. What is the angle-side relationship?
  4. Copy down one of the examples given (either on the page or in the video) of the angle-side relationship.

 

12. Students will visit website 12.

  1. Complementary Angles are angles that _____________ to be ______________.
  2. Copy Down two of the Picture Examples of Complementary Angles, (either on the page or in the video).
  3. Copy Down two of the Word Problem Examples of Complementary Angles, (either on the page or in the video).

 

13. Students will visit website 13.

  1. What is the Distance Formula?
  2. What is the Midpoint Formula?
  3. The Distance Formula comes from which major theorem? Explain How?
  4. Copy Down one of the Examples of the Distance Formula, (from the video).
  5. Copy Down one of the Examples of the Midpoint Formula, (from the video).

 

14. Students will visit website 14.

  1. What is a Transversal?
  2. Alternate Interior Angles are ___________.
  3. Alternate Exterior Angles are ___________.
  4. Same Side Interior Angles are __________.
  5. Same Side Exterior Angles are __________.
  6. Corresponding Angles are ______________.
  7. Go to https://www.ixl.com/math/geometry/transversals-of-parallel-lines-find-angle-measures and work through the practice problems.

 

15. Students will visit website 15.

  1. What is a Median of a Triangle?
  2. How many Medians does a Triangle have?
  3. Drag all of the points around. Explore what happens.
  4. Name the 4 Properties of Medians.
  5. What is the Point where the Medians meet, called?

 

 Part 2: Choose two of the following three to complete. Your answers will be emailed to me:

16. Students will visit website 16

 

17. Students will visit website 17

 

18. Students will visit website 18

 

 Part 3:

19. Students will visit website 19

  1. What is an altitude of a triangle (in the sense that it is being used on that page)?
  2. What is the orthocenter of a triangle?
  3. When will the orthocenter be inside the triangle?
  4. When will it be outside the triangle?
  5. When will it be on the triangle?
  6. What are the steps to constructing the orthocenter of the triangle?

20. Students will visit website 20

  1. What is a median of a triangle?
  2. What is the centroid of a triangle?
  3. The centroid is always ___________ of the triangle.
  4. Each median divides the triangle into:__________________
  5. Each centroid is exactly ________________ of the way along the median.

Put another way, the centroid divides each median into: _______________________

 

Evaluation

This is how your work will be evaluated.

CATEGORY

4

3

2

1

Mathematical Concepts

Explanation shows complete understanding of the mathematical concepts used to solve the problem(s).

Explanation shows substantial understanding of the mathematical concepts used to solve the problem(s).

Explanation shows some understanding of the mathematical concepts needed to solve the problem(s).

Explanation shows very limited understanding of the underlying concepts needed to solve the problem(s) OR is not written.

Quizlet Scores

Of the 2 Quizlets Taken, Scored an Average of 90 or Above.

Of the 2 Quizlets Taken, Scored an Average Between 80 and 90.

Of the 2 Quizlets Taken, Scored an Average Between 70 and 80.

Of the 2 Quizlets Taken, Scored an Average Between 60 and 70.

Working and using time wisely

Student was an engaged learner who did not disrupt the work of others  and was working cooperatively throughout lesson.

Student was an engaged learner but had trouble not distracting others and/or working cooperatively.

Student cooperated when asked, but needed prompting to stay on-task.

Student did not work effectively in the time given.

Mathematical Reasoning

Uses complex and refined mathematical reasoning.

Uses effective mathematical reasoning

Some evidence of mathematical reasoning.

Little evidence of mathematical reasoning.

 

Conclusion

Congratulations on Finishing this WebQuest! Turn in all Work through Google Classroom.

 

Credits

Author Biography

Robbie Raber

I am a Math Teacher at Carolina Forest High School in Myrtle Beach, SC. 

 

Permissions

We all benefit by being generous with our work. Permission is granted for others to use and modify this WebQuest for educational, non-commercial purposes as long as the original authorship is credited. The modified WebQuest may be shared only under the same conditions. See the Creative Commons Attribution • Non-Commercial• Share-Alike license for details.