Triangles

TRIANGLES Links http://www.coolmath .com/reference/trian gles-types

Review Pedagogical goal: a. Remedial practice. b. Further consolidation and teaching the topic more understandable.

School level: 9-10 class Level of dÄąffÄąculty : Easy Language: English Interactivity: Yes Problems:Weak points: The site could address more people and youths between 16-18, if it would have had stronger formulas and detailed tasks.

Strong points: The shape of the site is colorful and enjoyable enough for youths to have fun and understand while learning.

Overall points: Example of use

http://www.factmons ter.com/ipka/A08763 25.html

Pedagogical goal: a. Simulations. b. Further consolidation and making the basis of the topic clear.

School level: 9 class Level of dıffıculty : Very Easy Language: English Interactivity: Yes Problems:Weak points: The site is too easy and basic for a high school student.

Strong points: The figuers on that site support the main topic and also strengthen understanding.

Overall points: (1-5) Example of use

https://www.mathop enref.com/triangle.ht ml

Pedagogical goal: a. Simulations. b. Supporting the fact that, “The more you know about a topic, the more you’ll have new ideas to support.” And showing to the youths that there are a lot to learn about triangles.

School level: 9-11 class Level of dıffıculty : Medium-Hard Language: English Interactivity: Yes Problems:Weak points: The site is good if we look at the scientific truths, but when we come to the images,diagrams and figures, the site needs more figures and diagrams to make the topic clear and more understandable for the youths.

Strong points: The site includes more scientific truths than the others and this addresses to youths between 15-18 more. So more suitable fort he youths we want to address.

Overall points: (1-5) Example of use : Teachers and students can use the simulation. An interesting webpage for teachers.Interactive for the teacher.

https://www.khanaca demy.org/math/geom etry/congruence/tria nglecongruence/e/congru ent_triangles_1

Pedagogical goal:Simulations School level: 9-11 class Level of d覺ff覺culty : Medium Language: English Interactivity: Yes Problems: It needs internet connection.

Weak points: Strong points: If you can not solve the question, you can see the answer or you can take a hint.

Overall points: (1 = minimum, 5=maximum): Example of use Use the triangle congruence criteria SSS, SAS, ASA, and AAS to determine that two triangles are congruent.

http://study.com/aca demy/lesson/classifyi ng-triangles-byangles-andsides.html

Pedagogical goal:Remedial practice, Further consolidation and revision practice in class, Testing practice (written/oral tests), Practice of consolidation and further development.

School level: 9-11 class Level of d覺ff覺culty : Medium Language: English Interactivity: Yes Problems: You have to pay for access to all lessons, not all free Weak points: Strong points: There is a quiz about exponential functions.

Overall points: (1 = minimum, 5=maximum): There are video lessons and quizes after every lesson.

https://www.mathsisfu Pedagogical goal n.com/triangle.html o Remedial practice o Homework assignments o Further consolidation and revision practice in class o Practice of consolidation and further development School level: 7.-10.grade Level of difficulty: medium Language: English Interactivity: yes Strong points: well stated theory with proper images, it is possible to work interactively with the triangle.

Overall review (1 = minimum, 5=maximum) Example of use Equilateral Triangle Three equal sides Three equal angles, always 60°

Isosceles Triangle Two equal sides Two equal angles

Scalene Triangle No equal sides No equal angles https://eu.ixl.com/mat h/grade-6/area-oftriangles

Pedagogical goal o Remedial practice o Homework assignments o Testing practice (written) with answer keys o Practise of consolidation and further development School level: 7.-10.grade Level of difficulty: medium Language: English Interactivity: yes Strong points: well stated theory with proper images, every topic has a test, skills from preschool to 12 grade Overall review (1 = minimum, 5=maximum) Example of use A triangle has angle measurements of 64°, 30°, and 86°. Is this triangle equilateral?  yes

http://www.mathwork sheets4kids.com/trian gles.html

http://www.mathware house.com/geometry/t riangles/

ďƒ˜ no Submit Pedagogical goal o Remedial practice o Homework assignments o Group work o Practice of consolidation and further development School level: 7.-10.grade Level of difficulty: easy Language: English Interactivity: no Weak points: only worksheets Strong points: every topic has several worksheets Overall review (1 = minimum, 5=maximum) Example of use

Pedagogical goal o Remedial practice o Homework assignments o Support as teaching instrument, especially expounding new contents o Practice of consolidation and further development School level: 7.-10.grade Level of difficulty: easy Language: English

Interactivity: yes Strong points: every topic has described theory, practical exercises and interactive demonstrations are given Overall review (1 = minimum, 5=maximum) Example of use

This may be one the most well known mathematical rule-The sum of all 3 interior angles in a triangle is 180°. As you can see from the picture below, if you add up all of the angles in a triangle the sum must equal 180°. This property of a triangle's interior angles is simply a specific example of the general rule for any polygon's interior angles.

To explore the truth of this rule, try Math Warehouse's interactive triangle, which allows you to drag around the different sides of a triangle and explore the relationship between the angles and sides. No matter how you position the three sides of the triangle, the total degrees of all interior angles (the three angles inside the triangle) is always 180°. http://www.coolmath. Pedagogical goal com/reference/triangle o Remedial practice so Further consolidation and revision practice in class geometry#The_area_o School level: 7.-10.grade f_a_triangle Level of difficulty: easy Language: English Interactivity: no Weak points: only theory with formulas Strong points: clear theory Overall review (1 = minimum, 5=maximum) Example of use

The Pythagorean Theorem:

This formula is for right triangles only!

The sides, a and b, of a right triangle are called the legs, and the side that is opposite to the right (90 degree) angle, c, is called the hypotenuse. This formula will help you find the length of either a, b or c, if you are given the lengths of the other two.

Some special Pythagorean numbers: These are called Pythagorean triples.

The reason that they are so special is that they are whole numbers -- none of those weird decimals, fractions or radicals! http://www.mathsalamanders.com/geo metry-formulastriangles.html

Pedagogical goal o Remedial practice o Homework assignments o Didactic material useful for practical activities o Support as teaching instrument, especially while expounding new contents o Practice of consolidation and further development School level: 7.-10.grade Level of difficulty: medium Language: English Interactivity: no Strong points: every topic has a theory overview with solving examples and worksheets, which can be used for self-testing.

Overall review (1 = minimum, 5=maximum) Example of use The angles in a triangle add up to 180°.

This can be shown using the following simple demonstration.

Step 1 Draw a triangle on a piece of paper. Mark the 3 angles a, b and c.

Step 2 Cut out (or tear out) the three angles.

Step 3 Put the angles a, b and c together. They should make a straight line when placed together, which is equivalent to 180°.

https://www.mangahig Pedagogical goal h.com/en/math_games o Remedial practice /shape/triangles/types o Homework assignments _of_triagle o Testing practice with answer keys School level: 7.-10.grade Level of difficulty: medium Language: English Interactivity: no Weak points: only testing exercises Overall review

(1 = minimum, 5=maximum)

Example of use

Recognize equilateral, isosceles, scalene and right-angled triangles and know their properties and angle rules and use them to solve problems involving angles and sides.

Classify them further using acute angled, right angled and obtuse angled triangles.

Know the term perpendicular height. Use the written word to describe reasoning when solving problems

http://www.bbc.co.uk/ Pedagogical goal bitesize/ks3/maths/me o Remedial practice asures/area/revision/1/ o Homework assignments o Support as teaching instrument, especially while expounding new contents o Practice of consolidation and further development o Further consolidation and revision practice in class School level: 6.-10.grade Level of difficulty: medium Language: English Interactivity: yes Strong points: good demonstrative theoretical material, possible to check the knowledge, completing the test.

Overall review (1 = minimum, 5=maximum) Example of use Find the area of this triangle:

https://www.studyladd er.com/games/activity/ Pedagogical goal o Remedial practice area-of-triangleso Homework assignments 13135 o Support as teaching instrument, especially while expounding new contents o Group work o Practice of consolidation and further development School level: 7.-10.grade Level of difficulty: medium Language: English Interactivity: yes Strong points: it is possible to check the knowledge, working interactively, worksheets Overall review (1 = minimum, 5=maximum)

http://www.mathopenr Pedagogical goal ef.com/trianglearea.ht o Remedial practice ml o Practice of consolidation and further development School level: 7.-10.grade Level of difficulty: difficult Language: English Interactivity: yes Strong points: every topic has an interactive material Overall review (1 = minimum, 5=maximum) select as appropriate Example of use Triangle properties The vertex (plural: vertices) is a corner of the triangle. Every triangle Vertex has three vertices.

Base

The base of a triangle can be any one of the three sides, usually the one drawn at the bottom. You can pick any side you like to be the base.

Commonly used as a reference side for calculating the area of the triangle. In an isosceles triangle, the base is usually taken to be the unequal side.