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30-60-90 Special Right Triangles Assignment

Product Description

Right Triangles - 30 60 90 Special Right Triangles Notes and Practice

This packet includes information on teaching 30 60 90 Special Right Triangles. I have included:

*** Teacher Notes with worked out formulas, diagrams and workout examples.(the diagram on the first page comes from my set of Right Triangle Unit Vocabulary Cards and Posters)

*** Student Notes so that they can follow along and work out the problems as the teacher explains the information

*** A 22 question practice/homework sheet that includes an answer key.

I also have a similar set of notes available on
45-45-90 Special Right Triangles
45 45 90 Special Right Triangles Notes and Practice.

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You can also buy my
45-45-90 and 30-60-90 Right Triangle Notes bundled together at:
Special Right Triangles 45-45-90 and 30-60-90 Notes and Practice Bundle.

Please check out my other right triangle resources:

Right Triangles Trig Bellwork/Exit Cards/Station Questions
Geometry Right Triangles Trig Bellwork Exit Cards Station Questions.

Vocabulary and Games
Geometry Right Triangles Trigonometry Square Roots BINGO Game.
Geometry Right Triangles Trigonometry Square Roots Vocabulary Matching Activity.

Classroom Notes with Assignments and Answer Keys:
Soh Cah Toa (Sin Cos Tan) Introduction To Trigonometry Notes and Practice.
The Pythagorean Theorem Notes and Practice.
The Law of Sines Notes and Practice.
Angles of Elevation and Depression Notes and Practices One and Two.
Square Roots and Simplifying Radicals.

Converse of the Pythagorean Theorem Investigation Activity:
The Converse of The Pythagorean Theorem Investigation Activity.

Wall Posters for Display of Main Concepts:
Right Triangle Unit Vocabulary Cards and Posters.
Right Triangle Unit Vocabulary CCSS and I-Cans Wall Hangings.

Vocabulary Assignment and Puzzles
Right Triangle Unit Vocabulary Assignment and Puzzles.

Extra Practice Worksheets
Sin Cos and Tan Soh Cah Toa Trigonometry Riddle Practice Worksheet.
Geometry Pythagorean Theorem Riddle Worksheet.
Geometry Simplifying Square Roots Riddle Worksheet.
Geometry Special Right Triangles Practice Riddle Worksheet.
Geometry Angles of Elevation and Depression Riddle Practice Worksheet.

Graphic Organizers:
Right Triangles and Trigonometry Graphic Organizers.

Unit Review:
Right Triangles Unit Review.

Notecards
Geometry Right Triangles Trigonometry Square Roots Note Cards.

While each product can be purchased individually at the above links -- You can save 20% by buying the entire unit bundled together!!!

Right Triangles Complete Unit Bundle
Geometry Right Triangles Complete Unit Bundle.
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Teaching Duration

50 minutes

Although all right triangles have special features– trigonometric functions and the Pythagorean theorem. The most frequently studied right triangles, the special right triangles, are the 30,60,90 Triangles followed by the 45 45 90 triangles.

The 30 60 90 Special Right Triangle

The picture below illustrates the general formula for the 30 60 90 Triangle.

General Formula

Specific Examples

45 45 90 Special Right Triangle

Some Sepcific Examples

Practice Using Special Right Triangles

Problem 1

What is the value of z in the triangle below?

(Don't use the Pythagorean theorem . Use the properties of special right triangles described on this page)
z

The 30$$^{\circ}$$ and 60$$^{\circ}$$ angles give this one away. x = 6
2x =12
z = $$ x \sqrt{3} = 6\sqrt{3} $$

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