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Description

This is an introductory lesson to Right Triangle Trigonometry. Students will be presented to the three trigonometry ratios: Sine, Cosine & Tangent, and will be able to set up the ratios through interactive practice pages. The students will be able to find the length of a missing side given an angle and one other side.

Website(s)

Regents Prep Oswego
Practice with Right Triangles

Objectives

Through the interactive SMART Notebook lesson, the students will:

• Label the sides of a right triangle based on a given angle
• Learn how to set up the three trigonometry ratios: sine, cosine & tangent
• Find the missing length of right triangle given an angle and one other side

Duration

Two to Three 45-minute periods

Materials/Web Resources

• Computer
• SMART Board
• LCD Projector
• Right Triangle Trigonometry Notebook Lesson
• Trig Twister Worksheet - in attached Notebook Lesson & below
• "Right Triangle Ditto#1" - Worksheet below

Procedure

This procedure should be used in conjunction with the SMART Board file available below.

Day 1 -

Follow notebook lesson:

• Page 1 - Title Page
• Page 2 - Objectives, Outline & NYS Standards
• Page 3 - Right Trigonometry notes - students will be introduced to the vocabulary used with right triangles
• Page 4 - Students will be able to practice labeling the sides of the given right triangles, based off of a given angle
• Page 5 - Students will be able to set up trigonometry ratios
• Page 6 - Students will now set up a problem given a triangle and find the missing side
• Page 7 - Students will find the length of two missing sides on the same triangle
• Page 8 - Based off of one triangle, students will set up a trigonometry ratio for sine, cosine and tangent
• Page 9 - Students will match the trigonometry functions with the given ratios
• Page 10 to 12 - Students will practice setting up word problems and solving them

Day 2 -

• Page 13 - Have students practice and review using the link the Math A www.regentsprep.org website
• Page 13 - There is also a Trig Twister worksheet link on this page where students can work in groups of two. Follow directions on worksheet.
• For extra practice, students may complete the right triangle ditto #1 worksheet.

Assessment

1. Students will be assessed on participation in the SMART Notebook lesson.
2. Trig Twister worksheet will be checked.
3. Right Triangle Ditto #1 will also be collected and graded. See attached sheet with answers.

Support Materials

The following support mathers were used during this lesson:

Trig Twisters Worksheet

Right Triangle Ditto#1

Right Triangle Ditto#1 Answer Key

Lesson in PDF Format

SMART Board

This instructional content was intended for use with a SMART Board. The .xbk file below can only be opened with SMART Notebook software. To download this free software from the SMART Technologies website, please click here.

Right Triangle Trigonometry

Related Academic Standards

New York State

MST3.IA.RE5.04 Students select appropriate representations to solve problem situations.

MST3.IA.RE5.06 Students use mathematics to show and understand physical phenomena (e.g., find the height of a building if a ladder of a given length forms a given angle of elevation with the ground.)

MST3.IA.AL7.42 Students find the sine, cosine, and tangent ratios of an angle of a right triangle, given the lengths of the sides.

MST3.IA.AL7.44 Students find the measure of a side of a right triangle, given an acute angle and the length of another side.

G-SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.

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