Created on: September 20, 2008

Website Address: https://library.curriki.org/oer/Lesson--Drawing-right-triangles-from-word-problems

TABLE OF CONTENTS

- Cluster - MA.8.CCSS.Math.Content.8.NS The Number System
- Curriki Project Based Geometry
- Cluster - MA.8.CCSS.Math.Content.8.EE Expressions and Equations
- Cluster - MA.8.CCSS.Math.Content.8.F Functions
- Cluster - MA.8.CCSS.Math.Content.8.G Geometry
- Cluster - MA.8.CCSS.Math.Content.8.SP Statistics and Probability

- Quiz - 8.G Geometry: Understand congruence and similarity using physical models, transparencies, or geometry software Standards: 8.G.1a, 8.G.1b, 8.G.1c, 8,G.2, 8.G.3, 8.G.4, 8.G.5
- Quiz - 8.G Geometry: Understand and apply the Pythagorean Theorem: Standards: 8.G.6, 8.G.7, 8.G.8
- Quiz - 8.G Geometry: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres: 1 Standard: 8.G.9
- 8.G.1 Understand congruence and similarity using physical models, transparencies, or geometry software
- 8.G.2 Understand congruence and similarity using physical models, transparencies, or geometry software: Two-dimensional figures
- 8.G.3 Understand congruence and similarity using physical models, transparencies, or geometry software: Effects of Transformations
- 8.G.4 Understand congruence and similarity using physical models, transparencies, or geometry software: Similarity with Transformations
- 8.G.5 Understand congruence and similarity using physical models, transparencies, or geometry software: Use informal arguments
- 8.G.6 Understand and apply the Pythagorean Theorem
- 8.G.7 Understand and apply the Pythagorean Theorem: Determine unknown side lengths and three dimensions.
- 8.G.8 Understand and apply the Pythagorean Theorem: Distance between two points
- 8.G.9 Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

IN COLLECTION

Aim: How do we solve problems with trigonometric ratios when no diagram is given?

Learning objectives: Students will be able to draw right triangle diagrams from word problems.

Prerequisite knowledge: Students should be able to solve triangles, (find all missing sides and angles,) using SOHCAHTOA.

Motivational problem: I walk 4 miles north and 3 miles west. Draw a picture of this route and then find the distance from my starting point to my ending point.

Key Ideas: The angle of elevation is measured up from the horizontal line of origination. The angle of depression is measured down from the horizontal line of origination.

Important questions: Is there more than one way to draw a picture from a word problem? How do the answers change based on how your draw your diagram?