Ratio and Proportion (MS)

by Jon Stern

New Paltz Central School District

New York

Unit Objectives
Express ratios as fractions in simplest form.
Determine unit ratio.
Determine if a pair of ratios forms a proportion.
Solve problems using proportions.

“C” Level Work
(75 points maximum)
(underlined assignments are mandatory)
(*check the rubrics for this activity)
Complete notes for each lesson: *
1_____    Ratio  (5 points)
2_____    Unit Rates  (5 points)
3_____    Proportion  (5 points)

4_____    Flash Cards:  (10 points)* create flash cards using the following words- ratio, rate, unit rate, greatest common factor, proportion, cross product, numerator, denominator

5_____    Book Work:  (10 points)* read Ratios and Rates on Pp. 338-339 of Glencoe’s Applications and Connections-Course 3 and complete 10 problems on Pp. 340-343 (must include at least 2 Problem Solving and Applications problems).

6_____    Book Work:  (10 points)* read Proportions on Pp. 344-345 of Glencoe’s Applications and Connections-Course 3 and complete 10 problems on P. 346 (must include at least 2 Problem Solving and Applications problems).

7_____    Book Work:  (10 points)* read Using Proportions on Pp. 347-348 of Glencoe’s Applications and Connections-Course 3 and complete 10 problems on Pp. 349-350 (must include at least 2 Problem Solving and Applications problems).

8_____    Video: The Zany World of Basic Math: Ratios and Percent  (5 points)  watch the video and complete the accompanying worksheet.  The video can be accessed online at www.unitedstreaming.com or by following the link on the course web site.  Type in the username _______________and password _______________ and search for Ratios and Percent.

9_____    Build a Pyramid:  (10 points) Construct a model of one of the pyramids of Egypt using the scale 1cm = 30m.  Be sure to write down your calculations.  Directions for building the model can be found at http://www.jaconline.com.au/ atlasofdiscovery/downloads/worksheets/ws49-pyramid.pdf.

10_____    Use a pantograph:  (5 points)  copy a drawing with a pantograph.  Measure the two drawings and calculate the ratio being used.  You can do this online at www.ies.co.jp/math/java/geo/panta/panta.html.  Be sure to print the drawings.

11_____    Web Activity:  (10 points) go to http://www.aaamath.com/, click on Ratios then click on both Ratios and Determining Ratios.  Complete both activities and print the final page for both.

12_____    Web Activity:  (10 points) go to http://www.math.com/, click on Everyday Math then click on Proportions.  Complete both  the activity and the unit quiz.  Print the final page for both.

13_____    Performance Stations:  (10 points each) go to one of the hands-on stations (described at http://mathcentral.uregina.ca/rr/ database/rr.09.97/gauthier35.html) and follow the directions.  You may do up to 3 of the stations.

14_____    Baking Proportions:  (10 points)  use a home recipe to make cookies for the entire class.  Use proportions to rewrite the recipe for the number of servings you will need.  Be sure to have both the original and new recipes along with your calculations.  Enjoy!

“B” Level Work
(15 points maximum)*
15_____    Lab: Airplane Glide Ratio  (15 points)

“A” Level Work
(10 points maximum)*
16_____    Which form of art requires a greater understanding of proportions?  (10 points)

17_____    Why has the Golden Ratio been so important throughout human history?  (10 points)

18_____    Is the use of ratios, proportions, or percent more effective when advertising products?  (10 points)