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# Arabic Surveying Project

Lesson 5 of 8

## Objective: SWBAT to apply knowledge of similar triangles to a real-world survey project..

#### Project Set-Up and Practice

*30 min*

This Project will ask students to utilize properties of similar triangles to find measurements of tall objects (MP 1). Students will first set-up the project so that there are two similar triangles formed. Students should first pick a tall object to find the height (i.e. project, top of board, top of room, etc) (MP 4).

In order to complete this project, you will need the following supplies:

Mirrors

Meter Stick/Tape Measures

Lasers

Pencils

You may want to put students in groups of 3-4, and assign specific roles. For example, one student could be in charge of each material; this means, that one student woudl be in charge of the mirror, another the measurer, another the laser pointer and another the writer. Each student should take a turn though in viewing how we use the mirror to reflect the laser - it's really cool! Please also note that there are follow-up questions and a reflection in the project document. S

This project can be extended with the following at-home activity:

Create your own experiment at home or after school. Pick an object that

would be unsafe to measure on your own (i.e. top of a building, clock tower at school, tree in your yard etc.).

*expand content*

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- UNIT 1: Introduction to Geometry: Points, Lines, Planes, and Angles
- UNIT 2: Line-sanity!
- UNIT 3: Transformers and Transformations
- UNIT 4: Tremendous Triangles
- UNIT 5: Three Triangle Topics
- UNIT 6: Pretty Polygons
- UNIT 7: MidTerm Materials
- UNIT 8: Circles
- UNIT 9: 3-D Shapes and Volume
- UNIT 10: Sweet Similar Shapes
- UNIT 11: Trig Trickery
- UNIT 12: Finally Finals

- LESSON 1: Discovering Similar Triangles
- LESSON 2: More Discovering Similar Triangles
- LESSON 3: Transformations + Similarity
- LESSON 4: 2 Triangles in 1
- LESSON 5: Arabic Surveying Project
- LESSON 6: Proving Pythagoras' Theorem
- LESSON 7: Review Day for Sweet Similar Shapes
- LESSON 8: Assessment for Sweet Similar Shapes