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This lesson provided by:
Author: Amy Adams
System:Shelby County
School:Shelby County High School
Lesson Plan ID: 10831
Title:

Golden Ratios of the Body, Architecture, and Nature

Overview/Annotation:

Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.

Content Standard(s):
TC2(9-12) Computer Applications5. Utilize advanced features of spreadsheet software, including creating charts and graphs, sorting and filtering data, creating formulas, and applying functions.
MA2013(6) 24. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. [6-G4]
MA2013(7) 1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7-RP1]
MA2013(7) 2. Recognize and represent proportional relationships between quantities. [7-RP2]
MA2013(7) 11. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7-G1]
MA2013(7) 20. Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7-SP4]
MA2013(9-12) Geometry41. Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3]
MA2013(9-12) Algebraic Connections9. Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama)
MA2013(9-12) Algebraic Connections11. Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama)
MA2013(9-12) Mathematical Investigations3. Use special numbers, including e, i, π and the golden ratio, to solve application-based problems.
MA2013(9-12) Mathematical Investigations9. Analyze works of visual art and architecture for mathematical relationships. (Alabama)
Local/National Standards:  
Primary Learning Objective(s):

Students will calculate ratios from length and width measurements. Students will identify the golden ratio in data. Students will create a poster using desktop publishing with digital pictures, data, and conclusions drawn from the data.

Additional Learning Objective(s):

Students will use a digital camera to take photos. Students will import digital photos into a desktop publishing product. Students will measure lengths and widths of objects. Students will create a spreadsheet that will calculate the ratios of lengths and widths.

Approximate Duration of the Lesson: Greater than 120 Minutes
Materials and Equipment:

Rulers, meter sticks, tape measures

Technology Resources Needed:

Computer(s) with Internet access, digital camera, desktop publishing software, spreadsheet software, Alphasmarts

Background/Preparation:

Students will need to know how to measure lengths in centimeters.

Procedures/Activities:
1.)Teacher will give the definition of a ratio. As a class, students will list what they know about ratios and ways they know ratios are used. Students will represent, calculate, and simplify ratios.

2.)Students will research the Fibonnacci sequence and the Golden Ratio using the suggested websites (see attachment for sites).

3.)Students will take digital photos of one another, various objects, architecture samples, or nature samples. Students will measure the length and width of body measures, objects, or buildings, and record on a device such as the AlphaSmart (see attachment for directions on measurements).

4.)Students will create a spreadsheet to display collected data and calculate the ratio of length to width. Students will import the data from the AlphaSmart to the spreadsheet.

5.)Teacher will display student spreadsheets and lead a class discussion about the data. Students will brainstorm in small groups about conclusions that might be drawn from the data. Each group will report on the conclusions. Teacher will make poster assignment (see attachment for handout).

6.)Students will use a desktop publishing program to create a poster with two digital photos, a spreadsheet of the data, and a conclusion statement (see attachment for rubric).

Attachments:**Some files will display in a new window. Others will prompt you to download. Golden Ratio Measurements.doc
Poster Assignment.doc
Poster Rubric.doc
Golden Ratio Websites.doc
Assessment Strategies:

The poster will be assessed using the attached rubric.

Extension:
 
Remediation:
 
Each area below is a direct link to general teaching strategies/classroom accommodations for students with identified learning and/or behavior problems such as: reading or math performance below grade level; test or classroom assignments/quizzes at a failing level; failure to complete assignments independently; difficulty with short-term memory, abstract concepts, staying on task, or following directions; poor peer interaction or temper tantrums, and other learning or behavior problems.

Presentation of Material Environment
Time Demands Materials
Attention Using Groups and Peers
Assisting the Reluctant Starter Dealing with Inappropriate Behavior

Be sure to check the student's IEP for specific accommodations.
Variations Submitted by ALEX Users:
Alabama Virtual Library
Alabama Virtual Library

Hosted by Alabama Supercomputer Authority
The University of Alabama at Birmingham
The University of Alabama at Birmingham
The Malone Family Foundation
The Malone Family Foundation
Thinkfinity
Thinkfinity
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