Lesson Map
Use this table as your route through the unit. Lesson numbers jump directly to the matching explanation.
| Lesson | Topic | You should be able to… |
|---|---|---|
| 1.1 | Angles in Standard Position | Sketch positive and negative angles in standard position and identify initial and terminal sides. |
| 1.2 | Coterminal Angles & DMS | Find coterminal angles and convert among decimal degrees and degrees-minutes-seconds. |
| 1.3 | Triangle Foundations | Use triangle angle sum and similar triangles to determine missing measures. |
| 1.4 | The Six Trigonometric Functions | Define sine, cosine, tangent, cosecant, secant, and cotangent using sides of a right triangle. |
| 1.5 | Coordinates & Trig Values | Find all six trigonometric values from a coordinate point using r = √(x²+y²). |
| 1.6 | Unit Circle & Quadrantal Angles | Introduce the unit circle, quadrantal values, and the Pythagorean identity. |
How the Unit Is Built
Each resource below is part of the same learning cycle. Select a card to jump to it.
Content Summary
Work through these lessons in order. Focus on the meaning of the mathematics, the decision that selects a method, and a check that confirms the result.
Angles in Standard Position
Sketch positive and negative angles in standard position and identify initial and terminal sides.
Coterminal Angles & DMS
Find coterminal angles and convert among decimal degrees and degrees-minutes-seconds.
Triangle Foundations
Use triangle angle sum and similar triangles to determine missing measures.
The Six Trigonometric Functions
Define sine, cosine, tangent, cosecant, secant, and cotangent using sides of a right triangle.
Coordinates & Trig Values
Find all six trigonometric values from a coordinate point using r = √(x²+y²).
Unit Circle & Quadrantal Angles
Introduce the unit circle, quadrantal values, and the Pythagorean identity.
Video Library
These links open focused video searches by lesson topic. Use them as reinforcement rather than as a substitute for showing your own reasoning.
Angles in Standard Position
Use a short lesson after reading the website explanation, then return to the practice.
Find a matching video →Coterminal Angles & DMS
Use a short lesson after reading the website explanation, then return to the practice.
Find a matching video →Triangle Foundations
Use a short lesson after reading the website explanation, then return to the practice.
Find a matching video →The Six Trigonometric Functions
Use a short lesson after reading the website explanation, then return to the practice.
Find a matching video →Coordinates & Trig Values
Use a short lesson after reading the website explanation, then return to the practice.
Find a matching video →Unit Circle & Quadrantal Angles
Use a short lesson after reading the website explanation, then return to the practice.
Find a matching video →Vocabulary
These terms should appear naturally in explanations, diagrams, and written reasoning.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Write a definition in your own words and add an example or sketch in your STRIDES notes.
Sample Problems
Try each problem before opening the solution. The examples are original practice aligned to the unit skills.
Sketch and classify
Show solution
Convert DMS
Show solution
Similar triangles
Show solution
Six trig values
Show solution
Coordinate point
Show solution
Pythagorean identity
Show solution
Equations & Rules
Know what each relationship means and when it applies; do not treat the box as a list of disconnected formulas.
Review Guide
Skill Checklist
- I can sketch positive and negative angles in standard position and identify initial and terminal sides.
- I can find coterminal angles and convert among decimal degrees and degrees-minutes-seconds.
- I can use triangle angle sum and similar triangles to determine missing measures.
- I can define sine, cosine, tangent, cosecant, secant, and cotangent using sides of a right triangle.
- I can find all six trigonometric values from a coordinate point using r = √(x²+y²).
- I can introduce the unit circle, quadrantal values, and the Pythagorean identity.
How to review
- Complete the unit Skills Check packet without notes.
- Mark the exact skill behind each error.
- Return to that lesson and complete a fresh example.
- Explain the correction in words, then retry a similar problem.
- Finish with mixed practice so you must choose the method yourself.
Performance Task
Angle & Height Survey
Use measured distances and angle information to model the height of an inaccessible object. Include a labeled diagram, calculations, assumptions, and an explanation of which trigonometric relationship connects the measurements.
Evidence to include
A labeled mathematical model, organized calculations, appropriate units and precision, a written interpretation, and a check or discussion of limitations.