## Similarity and Ratios Unit

3 weeks, 15 days of 90 minutes each

**Objective:**SWBAT use scale factor in order to calculate the cost of building a community garden based off of measurements and data they have collected.

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**Geometry Standards**Content:

- G-GMD.4.Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k2, and k3,respectively; determine length, area and volume measures using scale factors
- G-SRT.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
- G-SRT.6. 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.11. (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

- A.Collaborative.2. Interacting with others in written English in various communicative forms (print, communicative technology, and multimedia)

__Student Activities__:In the first two weeks students will be exploring with similar figures to develop definitions for similarity, proportional, and scale factor. We will introduce trigonometry in the second week. For the third week of the unit, students in math will be collecting data on measurements for their garden (length/width of plot, size of each plants and other decorative items). They will use these measurements to calculate the cost of the blueprint sized garden. They will then choose similarity ratios to calculate the actual size of the garden and decide which would be best to fit into the school garden and be cost-efficient.

Graphic Organizer to fill out information necessary to complete the blueprint:

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**Assessment**Students will be creating a poster with their groups that explain their ideal community garden. The poster will be presented during English class during a poster session where students walk around and look at each poster while 2 group members stay at their poster and explain. A rubric, posted on "Our Mission" page will be used by the teacher to assess each group as she walks around.