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Finding the Height of Your School
Resource:
Finding the Height of Your School

Geometry & Algebra II Archive

Geo U4: Right Triangle Trigonometry

Big Idea: Big Idea 2

Using right triangle trigonometry, students will be able to find the height of the school building.

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Type
Geometry: Right Triangle Trigonometry
File
Google Doc
Tags
right, triangle, trigonometry
Standards
Common Core: Major Standards ( G-SRT.C.6, G-SRT.C.7, G-SRT.C.8 ) Common Core: A…
+— Details
Common Core: Major Standards:
G-SRT.C.6

Define trigonometric ratios and solve problems involving right triangles. 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.

G-SRT.C.7

Define trigonometric ratios and solve problems involving right triangles. Explain and use the relationship between the sine and cosine of complementary angles.

G-SRT.C.8

Define trigonometric ratios and solve problems involving right triangles. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★

Common Core: Additional Standards:
G-GMD.A.1

Explain volume formulas and use them to solve problems. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. (e.g. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.)

G-GMD.A.3

Explain volume formulas and use them to solve problems. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★

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Parallax
Resource:
Parallax

Geometry & Algebra II Archive

Geo U4: Right Triangle Trigonometry

Big Idea: Big Idea 2

Students will use distant buildings and the changing angles as they move in 1 direction to apply trig and find missing distances.

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Type
Geometry: Right Triangle Trigonometry
File
Google Doc
Tags
trigonometry, right, triangles
Standards
Common Core: Major Standards ( G-SRT.C.6, G-SRT.C.7, G-SRT.C.8 ) Common Core: A…
+— Details
Common Core: Major Standards:
G-SRT.C.6

Define trigonometric ratios and solve problems involving right triangles. 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.

G-SRT.C.7

Define trigonometric ratios and solve problems involving right triangles. Explain and use the relationship between the sine and cosine of complementary angles.

G-SRT.C.8

Define trigonometric ratios and solve problems involving right triangles. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★

Common Core: Additional Standards:
G-GMD.A.1

Explain volume formulas and use them to solve problems. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. (e.g. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.)

G-GMD.A.3

Explain volume formulas and use them to solve problems. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★

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Regents Problem Sort: Trig or Pythagorean Theorem
Geometry & Algebra II Archive
Geo U4: Right Triangle Trigonometry
Resource:
Regents Problem Sort: Trig or Pythagorean Theorem

Geometry & Algebra II Archive

Geo U4: Right Triangle Trigonometry

Can be used after both big ideas to assess whether or not students understand when each is appropriate.

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Type
Worksheet
File
Google Doc
Tags
trigonometry, pythagorean theorem, right triangles
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Studying Circles
Resource:
Studying Circles

Geometry & Algebra II Archive

A2 U3: Trigonometric Functions

Big Idea: Big Idea 2

This incomplete Core Resource is designed to support students in understanding the Unit Circle and how it is connected to right triangle trigonometry.

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Type
Algebra II: Trigonometric Functions
File
Google Doc
Tags
trigonometry, unit circle, resources
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Triangles, Trigonometry, and Circles
Resource:
Triangles, Trigonometry, and Circles

Geometry & Algebra II Archive

A2 U3: Trigonometric Functions

Big Idea: Big Idea 2

Use connections between equations describing triangles inscribed in a unit circle to connect trigonometry to circles.

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Type
Algebra II: Trigonometric Functions
File
Google Doc
Tags
right triangles, trigonometry, unit circle, connecting representations
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Trigonometric Mini Golf
Resource:
Trigonometric Mini Golf

Geometry & Algebra II Archive

Geo U4: Right Triangle Trigonometry

Big Idea: Big Idea 2

Students will practice using trig and inverse trig and apply it to miniature golf.

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Type
Geometry: Right Triangle Trigonometry
File
External Link
Tags
trigonometry, inverse trigonometry, right triangles
Standards
Common Core: Major Standards ( G-SRT.C.6, G-SRT.C.7, G-SRT.C.8 ) Common Core: A…
+— Details
Common Core: Major Standards:
G-SRT.C.6

Define trigonometric ratios and solve problems involving right triangles. 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.

G-SRT.C.7

Define trigonometric ratios and solve problems involving right triangles. Explain and use the relationship between the sine and cosine of complementary angles.

G-SRT.C.8

Define trigonometric ratios and solve problems involving right triangles. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★

Common Core: Additional Standards:
G-GMD.A.1

Explain volume formulas and use them to solve problems. Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. (e.g. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.)

G-GMD.A.3

Explain volume formulas and use them to solve problems. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★

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Trigonometric Ratios and the Pythagorean Theorem
Resource:
Trigonometric Ratios and the Pythagorean Theorem

Geometry & Algebra II Archive

A2 U3: Trigonometric Functions

Big Idea: Big Idea 3

From the Illustrative Mathematics website, "The purpose of this task is to use the Pythagorean Theorem to establish the fundamental trigonometric identity sin²Θ¸+cos²Θ¸=1 for an acute angle Θ¸. The reasoning behind this identity is then applied to calculate cosΘ¸ for a given obtuse angle. In order to successfully complete part (c) students must be familiar with the definitions of trigonometric functions for arbitrary angles using the unit circle."

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Type
Activity
File
External Link
Tags
proof, proofs, trigonometry
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