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Unit on Trig Ratios and Solving problems involving Right Triangles

  • Introduction to Trigonometry Unit

    Introduction to Trigonometry Unit
    1 day introduction to the Trigonometry Unit. The first day will introduce the "Guidelines for a Safe Learning Environment."
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  • Period: to

    Trigonometry Unit

  • Lesson 3.2.1 Constant Ratios in Right Triangles

    Lesson 3.2.1 Constant Ratios in Right Triangles
    A 2 day lesson that will help students recognize that all the slope triangles on a given line are similar to each other and will begin to connect a specific slope to a specific angle measurement and ratio. Students will explore the ratios in real life structures such as the Leaning Tower of Pisa to make these connections.
  • Lesson 3.2.2 Connecting Slope Ratios to Specific Angles

    Lesson 3.2.2 Connecting Slope Ratios to Specific Angles
    A 3 day lesson where students will connect specific slope ratios to their related angles and use this information to determine missing side lengths or angle measures of right triangles with 11º, 22°, 18°, or 45° angles (and their complements)
  • Lesson 3.2.4 Exploring and Applying the Tangent Ratio

    Lesson 3.2.4 Exploring and Applying the Tangent Ratio
    A 2 day lesson where Students will practice using slope ratios to determine the length of a leg of a right triangle and will learn that this ratio is called tangent. Additionally, students will learn how to compute the slope ratio using a scientific calculator. Students will relate the ratios to real world scenarios involving the Leaning Tower of Pisa and the Statue of Liberty.
  • Lesson 4.2.1 Sine and Cosine Ratios

    Lesson 4.2.1 Sine and Cosine Ratios
    A 2 day lesson where Students will learn about the sine and cosine ratios and will start a Triangle Graphic Organizer. Students will use "Filbert Street" in San Francisco to make the connections with ratios.
  • Lesson 4.2.2 Selecting the Correct Trig Tool

    Lesson 4.2.2 Selecting the Correct Trig Tool
    A 2 day lesson where Students will develop strategies to recognize which trigonometric ratio to use based on the relative position of the reference angle and the given sides involved
  • Lesson 4.2.3 Inverse Trigonometry

    Lesson 4.2.3 Inverse Trigonometry
    A 2 day lesson where students will understand how to use trigonometric ratios to determine the unknown angle measures of a right triangle and will be introduced to the concept of “inverse”
  • Lesson 4.2.4 Trigonometric Applications

    Lesson 4.2.4 Trigonometric Applications
    1 day lesson where students will use sine, cosine, and tangent ratios to solve application problems. Students will be given real life text in problems that involve rock climbing at Yosemite National Park