Download Topic: Right Triangle Trigonometry Audience: Sophomore (10th

Topic: Right Triangle Trigonometry
Audience: Sophomore (10th) Level Mathematics II Student
Duration: 5 Weeks
Note for students with disabilities: If you anticipate barriers related to the format or requirements of this course, if you have emergency medical
information to share with me, or if you need to make arrangements in case the building must be evacuated, please let me know as soon as possible. If
disability related accommodations are necessary (for example, a note taker, extended time on exams, captioning), please notify me of your request for
accommodations. Every reasonable effort will be made to make this course available to you.
Online Learning Experience (OLE) Planning Grid - ITEC 7480
Standard:
MM2G1. Students will identify and use special right triangles.
a. Determine the lengths of sides of 30°-60°-90° triangles.
b. Determine the lengths of sides of 45°-45°-90° triangles.
Student Objectives/Outcomes:
1.
2.
3.
4.
5.
6.
7.
Bloom’s Level:
Activities:

Assessments:
Review simplifying square roots, rationalization of
denominor, and Pythagorean theorem.
View Teacher demonstration of "Triangle of a
Square" activity using 6 cm side lengths.
Complete in cooperative groups "Triangle of a
Square" activity.
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Read notes on 45-45-90 Triangles
Complete Interactive Whiteboard practice solving
45-45-90 Triangles
Complete Classwork practicing 45-45-90 triangles
Complete extended practice on 45-45-90 triangles
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Completion of Classwork practicing 45-45-90 triangles
Completion of extended practice on 45-45-90 triangles
Completion of 45-45-90 Triangles Quiz
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Rubric for Electronic portfolio of Geogebra activity
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Complete 30-60-90 Triangle discovery using
Geogebra.
Create electronic portfolio of Geogebra activity
Remembering
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Read notes on 30-60-90 Triangles
Complete classwork on 30-60-90 Triangles
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Completion of classwork on 30-60-90 Triangles
Completion of 30-60-90 Triangles Quiz
Remembering
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Complete mixed review of special right triangles
Choose 2 problems (one of each type of special right
triangle) from the mixed review to create a minivideo explaining your solution
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Rubric for mini-lesson video
Recognize the relationships among
the lengths of the legs and
hypotenuse are the same for all right
triangles with two acute angles of 45
degree angles and can be derived by
halving a square along the diagonal.
Remembering
Describe the relationship between the
sides of a 45-45-90 triangle
Identify the relationship between the
area of a square and the the product
of its diagonals (45-45-90 triangle)
Remembering
Recognize the relationships among
the lengths of the legs and the
hypotenuse are the same for all right
triangles with acute angles of 30
degrees and 60 degrees and can be
derived by halving an equilateral
triangle using an altitude.
Describe the relationship between the
sides of a 30-60--90 triangle
Identify the relationship between the
area of a square and the the product
of its diagonals (30-60-90 triangle)
Remembering
Compare the relationship among the
lengths of the legs and the
hypothenuse for special right
triangles
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Student groups will scan in Triangle of Square chart and post
to "Triangle of a Square Share-Out" Google doc.
Successful completion of Ticket-Out-the-Door written
assignment (Individual)
1
Online Learning Experience (OLE) Planning Grid - ITEC 7480
Standard: (continued)
MM2G1. Students will identify and use special right triangles.
a. Determine the lengths of sides of 30°-60°-90° triangles.
b. Determine the lengths of sides of 45°-45°-90° triangles.
Student Objectives/Outcomes:
Bloom’s Level:
8.
Remembering
Create an application problem
involving special reight triangles.
Activities:



Assessments:
Review special right triangles
Complete application of special right triangles
activity.
Write an original special right triangle application
problem of your own. (include pictures, if needed)


Completion of special right triangle application activity.
Rubric for Original Right Triangle Trig Problem
Complete Mid-Unit Test over Special Right Triangles

Completion of Special Right Triangles Mid-Unit Test
Remembering
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10.
Remembering
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11.
Remembering
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12.
Remembering
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9.
Explain the relationships that exist
among and between sides and angles
of right triangles
2
Online Learning Experience (OLE) Planning Grid - ITEC 7480
Standard:
MM2G2. Students will define and apply sine, cosine, and tangent ratios to right triangles.
a. Discover the relationship of the trigonometric ratios for similar triangles.
b. Explain the relationship between the trigonometric ratios of complementary angles.
c. Solve application problems using the trigonometric ratios.
Student Objectives/Outcomes:
Bloom’s Level:
1.
Identify similar right triangles
produce trigonometric ratios
Remembering
Activities:


Read SOHCAHTOA Notes
Complete SOHCAHTOA Classwork

Completion of SOHCAHTOA classwork
2.
Connect similar right triangles
produce trigonometric ratios
Remembering

Complete Finding the missing side of a triangle using
trig ratios Trig Ratios
Complete more practice using trig ratios to find a
missing side


Completion of Finding Missing Side classwork
Completion of More Practice Using Trig Ratios To Find
Missing Side classwork

Assessments:
3.
Demonstrate trigonometric ratios are
dependent only on angle measure
Remembering

Complete Finding angles of a triangle using trig
ratios Trig Ratio

Completion of Finding Angles of a Triangle classwork
4.
Demonstrate trigonometric ratios can
be used to solve application problems
involving right triangles
Remembering
Complete Discovering Trig Ratios activity
Complete Graphic Organizer on Trig Ratios
Review Trig Ratios
Complete Quiz over SOHCAHTOA
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Completion of Discover Trig Ratios Activity
Rubric for Trig Ratios Graphic Organizer
Completion of SOHCAHTOA Quiz
5.
Develop a conceptual basis for the
functional ratios sine, cosine, and
tangent
Remembering
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Complete Geogebra Activity
Complete Slider Math activity
Complete Application of Trig Ratios activity
Create a scrapbook of SOHCAHTOA
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Completion of Geogebra Activity
Completion of Slide Math Activity
Completion of Trig Ratios Activity
Rubric for SOHCAHTOA scrapbook
3
Online Learning Experience (OLE) Planning Grid - ITEC 7480
Standard: (continued)
MM2G2. Students will define and apply sine, cosine, and tangent ratios to right triangles.
a. Discover the relationship of the trigonometric ratios for similar triangles.
b. Explain the relationship between the trigonometric ratios of complementary angles.
c. Solve application problems using the trigonometric ratios.
Student Objectives/Outcomes:
Bloom’s Level:
6.
Prove trigonometric ratios can be
used to solve application problems
involving right triangles
Remembering
Activities:


Complete "How high is it anyway" activity
Create a wiki showing your project

Rubric for creation of wiki
7.
Explain how the values of these
trigonometric functions relate in
complementary angles and how to use
these trigonometric ratios to solve
problems
Remembering

Complete Unit Test over Special Right Triangles and
Trig Ratios
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Completetion of Right Triangle Trig Test
8.
Remembering
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9.
Remembering
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10.
Remembering
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.
Assessments:
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4