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- HSG-SRT.C.6Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
- HSG-SRT.C.7Explain and use the relationship between the sine and cosine of complementary angles.
- HSG-SRT.C.8Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*

Formalizing Properties Known Informally

12th Grade Math

Â» Unit:

Trigonometric Identities

Big Idea:How can I find the value of other trigonometric functions if I only know one or two values?

Co-Function Identities

12th Grade Math

Â» Unit:

Trigonometric Identities

Big Idea:Through reasoning students can verify identities for trigonometric functions.

Solving Triangles with Trigonometry

Geometry

Â» Unit:

Introduction to Trigonometry

Big Idea:Students refine their strategies for applying trigonometric relationships. Now we see trigonometry from every sideâand angle!

Properties of Sine and Cosine

Geometry

Â» Unit:

Introduction to Trigonometry

Big Idea:Exploring the meaning of sine and cosine as ratios and as relationships. Trigonometry is just similar trianglesâbut better!

Trig Time

Geometry

Â» Unit:

Trig Trickery

Big Idea:Aiming for perfection with practice, what's your sine? Cosine and tangent too!

Finishing Up the Similar Triangles Project

12th Grade Math

Â» Unit:

Trigonometry: Triangles

Big Idea:It's time for students to synthesize what they've learned about the trigonometric ratios, precision, similarity, and patterns. Today's work period gives students a chance to clarify their thinking and to put it in writing.

Applied Trig Time

Geometry

Â» Unit:

Trig Trickery

Big Idea:Students will persevere through challenging real-world problems involving the Eiffel Tower and puppies.

More on Finding Lengths of Segments

Geometry

Â» Unit:

Right Triangle Trigonometry

Big Idea:Students continue to apply trig functions, while also learning about the relationship between the sine and cosine of complementary angles.

Trigonometric Identities - Day 2 of 2

12th Grade Math

Â» Unit:

Trigonometric Relationships

Big Idea:Identifying what makes a trig expression confusing will keep you focused on what needs to be simplified.

Solving Right Triangles

12th Grade Math

Â» Unit:

Solving Problems Involving Triangles

Big Idea:After reading and drawing diagrams for word problems students use the right triangle ratios to solve the problems.

Trigonometric Ratios

Geometry

Â» Unit:

Geometric Trigonometry

Big Idea:Students explore the relationship between trigonometric ratios in right triangles.

Progress Check and Homework Review 1

Geometry

Â» Unit:

Triangles and Congruence

Big Idea:Student questions are the focus of the lesson as students grade their own homework and prepare for a homework quiz.

Using Right Triangles to Make the Unit Circle

12th Grade Math

Â» Unit:

Trigonometry: The Unit Circle

Big Idea:By looking for connections between right triangle trig and unit circle trig, we can discover some common sense embedded in both.

The Pythagorean Identities

12th Grade Math

Â» Unit:

Trigonometric Identities

Big Idea:How can the Pythagorean Identities and other fundamental identities be used to simplify expressions.

Problem Solving Identities

12th Grade Math

Â» Unit:

Trigonometric Identities

Big Idea:Through the use of algebra and known identities other identities can be verified.

HSG-SRT.C.6

Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

HSG-SRT.C.7

Explain and use the relationship between the sine and cosine of complementary angles.

HSG-SRT.C.8

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*