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I need help with Trigonometry problems

Overview of the Unit:

This Trigonometric Unit covers the basics for the functions Sine, Cosine and Tangent along with using the Pythagorean Theorem and 2 types of special right triangles, 30-60-90 and 45-45-90. These types of problems recur constantly on the SAT and ACT. Students learn the basics of setting up and solving these ratios and working on application problems including angle of elevation and angle of depression problems. This unit also paces the students through learning the concepts and stops to review with mixed types of problems so students learn problem solving techniques. Both simplifying radicals with special right triangles and using the calculator to solve trig equations are addressed in the unit.

Each lesson has a video and corresponding note-taking guide, as well as a practice worksheet that corresponds to each lesson. Each lesson covers one main concept with direct instruction and appropriate independent practice problems. The worksheets are clean and easy to copy for students.

Description of the video and note-taking guides:

Lesson 1

Review of the characteristics of a triangle

Introduction to the Pythagorean Theorem

Works several sample problems involving using the Pythagorean Theorem in order to find missing sides of a triangle

Find the area of an isosceles triangle that has a base of 12 and two sides measuring 10.

Gives directions on solving Pythagorean Theorem word problems

This lesson covers simplifying radical expressions. The video works nine of these problems

Lesson 2

Working with the 30 60 90 Special Right Triangle

Looking at the patterns of a 30 60 90 special right triangle

Given the short leg how do you find the long leg and the hypotenuse?

Given the long leg of a 30 60 90 triangle, find the short leg and the hypotenuse.

Lesson 3

Working with 45 45 90 special right triangles

Looking at the special patterns of a 45 45 90 triangle

Given a leg of a 45 45 90 triangle find the hypotenuse

This lesson works many examples of finding the leg length or the hypotenuse of a 45 45 90 triangle

Find the area of a square given the diagonal. The diagonal divides the square into two 45 45 90 triangles which can be used to find the area of the square.

Lesson 4 (no video)

Review of Lesson 1-3 with mixed types of problems.

Lesson 5