ALEX Learning Activity

  

Photographs and Proportions

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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  This learning activity provided by:  
Author: Morgan Boyd
Organization:Retirement
  General Activity Information  
Activity ID: 1873
Title:
Photographs and Proportions
Digital Tool/Resource:
Math Interactives
Web Address – URL:
Overview:

In this activity, the students will visit the website, Math Interactives, to reinforce a lesson on proportions. The students will demonstrate their knowledge of proportions by calculating missing values that will develop photographs. For completion, the students will arrange the photographs to view the final product.

This activity results from the ALEX Resource GAP Project.

  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2015 (2016)
Grade: 6
3 ) Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6-RP3]

a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. [6-RP3a]

b. Solve unit rate problems including those involving unit pricing and constant speed. [6-RP3b]

Example: If it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours' At what rate were lawns being mowed'

c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. [6-RP3c]

d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. [6-RP3d]


NAEP Framework
NAEP Statement::
8M2b: Solve problems involving conversions within the same measurement system such as conversions involving square inches and square feet.

NAEP Statement::
8M2c: Estimate the measure of an object in one system given the measure of that object in another system and the approximate conversion factor. For example:
  • Distance conversion: 1 kilometer is approximately 5/8 of a mile.
  • Money conversion: U.S. dollars to Canadian dollars.
  • Temperature conversion: Fahrenheit to Celsius.


NAEP Statement::
8NPO3a: Perform computations with rational numbers.

NAEP Statement::
8NPO4a: Use ratios to describe problem situations.

NAEP Statement::
8NPO4b: Use fractions to represent and express ratios and proportions.

NAEP Statement::
8NPO4d: Solve problems involving percentages (including percent increase and decrease, interest rates, tax, discount, tips, or part/whole relationships).



Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.6.3- Solve simple real-world problems using ratio/rate reasoning.
M.AAS.6.3a- Answer simple questions about a table of equivalent ratios with whole-number measurements.
M.AAS.6.3b- Calculate unit-rate problems, including those involving unit pricing.
M.AAS.6.3c- Identify a percentage equivalent to a fraction (e.g., 1/2, 1/4, 1).
M.AAS.6.3d- Identify the decimal equivalent of a percentage (limited to 10%, 20%, 25%, 40%, and 50%).


Learning Objectives:

The students will demonstrate how to find missing values of a proportion in real-world math problems using ratios and rates.

  Strategies, Preparations and Variations  
Phase:
After/Explain/Elaborate
Activity:

The learning activity will be best used after teaching a lesson on proportions. The teacher needs to discuss the directions of the website. As the students view the website, the teacher will instruct the students to do the activity called "3-Term Ratios". In the upper right-hand corner, there is an icon to make the screen larger. Each student will have a different puzzle. In order to see the photos, the student will need to find the missing values in the proportions. After completing the photos, the student will arrange the pictures in the puzzle to see the final picture.

Assessment Strategies:

The student will be able to solve real-world proportions problems using rates and ratios.

The teacher will use the following questions as an exit slip:

1. If a bottle rotates through 270 degrees in 3 seconds, how many degrees does it rotate in 2 seconds?

2. Mickey is looking for his ties and discovers that he has 20 shirts for every 4 ties. If he has 30 shirts, how many ties does he have?

3. Duke is looking for his trousers and discovers that he has 25 shirts for every 5 trousers. If he has 10 shirts, how many trousers does he have?


Advanced Preparation:

The teacher will need to present a lesson on proportions. The teacher will need to be familiar with the website. The teacher will need to project and manipulate the website on an interactive whiteboard. Each student will need an electronic device with internet capability and Adobe Flash. The website has worksheets that can be printed for extra practice.  

Variation Tips (optional):

The interactive game can be lengthy, therefore, the teacher can place students in collaborative groups to save time.

Notes or Recommendations (optional):
 
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