Fuel Efficiency

by Mark Nixon, Louisa Lee, Pragya Bhagat, Ann Ikonne

Introduction

PBI Final Project Lesson Plan I

 

Name: Yu-Hsueh Lee

 

Title of lesson: Evaluate Fuel Efficiency

 

Date of lesson:

 

Length of lesson: 90 minutes

 

Description of the class:

                     Name of course: Algebra I

                     Grade level: 6th-12th Grade

                     Honors or regular: Regular

 

Source of the lesson:

Information and resources found at the website: http://www.fueleconomy.gov/feg/byfueltype.htm

 

TEKS addressed:

Patterns, Relations, and Algebraic Thinking

 

Patterns, Generalizations, Relationships, Proportional Reasoning, and Making Predictions

218

Use ratios from tables, graphs and equations to determine if a relationship is proportional or non-proportional.  (L)

 
I.      Overview
Students will use their knowledge of fraction, ratio, percentage and proportion to evaluate given data and determine the relationship between data. 
 
II.  Performance or learner outcomes

            Students will be able to compare a set of data by using ratio and proportion to

            determine the top fuel-efficiency cars.

 

III. Resources, materials and supplies needed

-       10 computers with internet access.

-       10 regular calculators.

-       10 posters.

 

IV. Supplementary materials, handouts.

-       30 Pre-test sheets

-       30 Post-test sheets


Five-E Organization

Teacher Does                    Probing Questions                                Student Does      

Engage:

Percentage, ratio are different expression of fraction.  We use percentage, ratio or fraction to compare differences in order to optimize our selection.

We are going to use number fraction to evaluate data from the research, then comes up with a decision of the most fuel-efficiency car.

10 min

1. Express the ration of $15:$40 in simplest form.

2. Express the ratio in percentage form.

3. How are fraction, percentage, and ratio used in our daily life?

1. 15/40, 3/8

2. 37.5%

2. Students will brainstorm the answer.

                                                   

Explore

Divide the class into groups of four.  Ask each group to develop lists of fuel efficiency cars by comparing MPG (Miles Per Gallon), Annual Fuel Cost, Greenhouse Gas Emissions and EPA Air Pollution Score.  Students will search the Internet for information, but should be able to list five most fuel efficient cars according to group discussion.

 

Students will surf  www.fueleconomy.gov, then select ÒFind an Compare CarsÓ, then select ÒCars that donÕt need gasolineÓ.  Under select Vehicle Type, select ÒFlexible-fueled VehiclesÓ.

Students will use the data on this page and should be able to list five most fuel efficient cars by discussing in the group.

 

Each group should create a poster.

 

30 min

1. What is MPG?

2.  How do you calculate MPG?

3. What is the average MPG?

 

1.     Miles Per Gallon.

2.     Fuel up the tank.  Take the mileage ran from last fuel, divided by the amount of gallon from this fuel.  It is the MPG of this car.

3.     The average of city MPG and highway MPG.


 


Explain:

Use the blackboard or an overhead projector to develop a combined list from class input once every group has completed the assignment.

20 min

Each group takes turn explain their decision.

 

 

                                               

Extend / Elaborate:

A number fraction represents the comparison of a set of data, we can use proportion to evaluate if two sets of data goes proportionately.  In our fuel-efficiency, we will use proportion to check if ratios of MPGs and prices of two cars go proportionately.  If it goes proportionately, we can decide that they have the same efficiency, otherwise, we conclude that one has higher efficiency over the other.

 

 

20 min

1. The Annual Fuel Cost for Car1 and Car2 are $1489 and $1764 respectively.  The average of car1 and car2 are 25 and 18 respectively. 

Are their ratios go proportionately?  Which  car has better fuel-efficiency?

2. The Greenhouse Gas Emissions if 8.1 and 6.0 tons per year for car1 and car2 respectively, which car is fuel-efficiency considering both money and environment?

3. Consider more including the EPA Air Pollution Score, which car will you buy?

1.     Car1.

2.     Students may have various answers.

3.     Discussion as a class.

   

  Evaluate:

Pass out the post-test. 

 

The students will complete and turn in the post –test sheet.

 


Pre-Test

 

1.     I always fuel up the tank.  After I drove 240 miles, I fuel up the tank.  It shows $25.00 purchase and  8gallons from this fuel.  What is the MPG?  How much per gallon?

 

 

 

 

 

 

2.     The Greenhouse Gas Emissions for car1 and car 2 are 7.6 and 5.6 respectively.  What is the ratio in simplest form?

 

 

 

 

 

 

3.     The MPG for car1 is 21 in city and 31 on highway.  What is the average MPG for car 1?  The MPG for car2 is 16 in city and 24 on highway.  What is the average MPG for car2?  Comparing MPG of car1 and car2 in simplest ratio form.

 

 

 

 

 

 


Post-Test

 

1.     The annul fuel cost of car1 and car2 are $1428 and $1578 respectively.  What is the ratio of the cost?    The average MPG is 25 and 20 respectively.  Are these ratios proportionately?  Comparing the cost and average, which car is money-efficient?

 

 

 

 

 

 

2.     The Greenhouse Gas Emissions is 7.6 and 5.6 tons per year for car1 and car2 respectively, which car is fuel-efficiency considering both money and environment?  Why?

 

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