Properties of Triangles

Introduction

Dear Student,

Today you will be completing a WebQuest on the properties of triangles. How much do you know already? We will be starting this WebQuest in class and it is to be completed by the beginning of tomorrow's class. Good luck!

Best,

Miss Marquez

 

Task

You will work through the six websites and answer the questions related. You have the opportunity to complete most of the assignment in class so use your time wisely. If you are able to answer the questions without visiting the website, that is okay, but please visit the website before asking for help.

Good luck!

Process

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

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

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

 

 

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?  

  3. Are any angles the same? Explain.

  4. Make a speculation about the sides and the respective angles.

 

 

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?

  3. Make a speculation about the sides and the respective angles.

 

 

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? Explain.

 

 

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. Go to both of the following sites to practice...

     a. Classification of Triangles: https://www.ixl.com/math/grade-7/classify-triangles 

     b. Finding missing angles in Triangles: https://www.ixl.com/math/grade-7/find-missing-angles-in-triangles

 

 

 

8. Complete the questions on the website below. Your answers will be emailed to me directly. 

    https://goo.gl/forms/C4rBxrCv5Kk9vhS72

 

Evaluation

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.

Google Quiz Score

Answered 6 or 7 out of 7 correctly.

Answered 5 out of 7 correctly.

Answered 4 out of 7 correctly.

Answered less than 3 out of 7 correctly.

Working and using time wisely in class

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

Student was an engaged learner but at times distracted others and/or did not working cooperatively during the entire webquest.

Student cooperated, but needed cues to stay on-task.

Student did not work effectively in class.

Mathematical Reasoning

Uses complex and refined mathematical reasoning.

Uses effective mathematical reasoning

Some evidence of mathematical reasoning.

Little evidence of mathematical reasoning.

 

Conclusion

You may have known some of these properties before, but you may not have known why.

1) Name one property you may have memorized before but that now you fully understand. 

2) Is there a property about triangles you would like some clarification on?

 

Credits

Work Cited

“Angles in a Triangle Worksheets and Solutions Part 2.” Www.onlinemathlearning.com, www.onlinemathlearning.com/angles-triangle-worksheet.html.

Classification of Triangles - Math Open Reference, www.mathopenref.com/triangleclassify.html.

“Equilateral Triangle.” Equilateral - Math Word Definition - Math Open Reference, www.mathopenref.com/equilateral.html.

“Isosceles Triangle.” Isosceles Triangle - Math Word Definition - Math Open Reference, www.mathopenref.com/isosceles.html.

“Practicing Seventh Grade Math: 'Classify Triangles'.” IXL Learning, www.ixl.com/math/grade-7/classify-triangles.

“Practicing Seventh Grade Math: 'Find Missing Angles in Triangles'.” IXL Learning, www.ixl.com/math/grade-7/find-missing-angles-in-triangles.

Rabber, Robert. “Coach Raber's Triangle WebQuest!” Create WebQuest, www.createwebquest.com/webquest/coach-rabers-triangle-webquest.

“Relationship of Sides to Interior Angles in a Triangle.” Relationship of Side Lengths and Angles of a Triangle - Math Open Reference, www.mathopenref.com/trianglesideangle.html.

“Scalene Triangle.” Scalene Triangle - Math Word Definition - Math Open Reference, www.mathopenref.com/scalene.html.