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## Author

Skew the Script

9th, 10th, 11th, 12th

## Subjects

Science, Social Studies, Economics, Mathematics

## Resource Types

• Videos, 14 minutes, 55 seconds, CC, Subtitles
• Worksheets
• Interactive Media
• Presentation Slides

## Regional Focus

Global, North America

## Format

PDF, Microsoft Word, Microsoft Powerpoint, Google Forms

# Linear Systems (Substitution & Elimination)

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Synopsis
• This resource applies algebraic lessons on linear systems to determine whether it is more environmentally friendly and cost-effective to own an electric vehicle rather than a gas vehicle.
• Students watch a step-by-step video, answer guided questions, and solve problems using interactive graphing tools to learn how to construct a system of equations, estimate values with a table or graph, and solve the y=mx+b equations using the substitution and elimination methods.
Teaching Tips

Positives

• There are guided notes for students and an answer key for teachers.
• This resource includes online interactive tools to graph, create tables, answer questions, and create and solve equations.
• Teachers can make a copy of the Google form to collect responses to reflection questions on the activity.

• Teachers and students need to create a free account to access some of the materials.
• Although outside of the scope of the lesson, you could include information about alternative transportation-related climate solutions (such as public transportation) and the possible social implications of producing a vehicle, many of which are difficult to measure in economic terms.

Differentiation

• This resource includes free guides on how to use the resource in different classroom settings, including in-person, online, and hybrid settings.
• Teachers are also given access to the data used in the resource, which more advanced students could work with to solve other questions.
• This resource can also be used in economics classes during lessons about cost-benefit analysis and in civics classes during lessons about policies aimed at reducing the effects of the transportation sector on the climate.
Scientist Notes
Using an algebraic approach, the resource compares the environmental benefits and costs of a Tesla electric automobile to a gas-powered vehicle. In order to determine which car can make a big contribution to solving climate change, students might examine the linear relationship between the two vehicles over time. This resource enjoys high confidence and is advised for usage in classroom settings.
Standards
• Next Generation Science Standards (NGSS)
• ESS3: Earth and Human Activity
• HS-ESS3-4 Evaluate or refine a technological solution that reduces impacts of human activities on natural systems.
• College, Career, and Civic Life (C3) Standards
• Dimension 2: Economics
• D2.Eco.2.9-12 Use marginal benefits and marginal costs to construct an argument for or against an approach or solution to an economic issue.
• Common Core Math Standards (CCSS.MATH)
• Algebra: Creating Equations (9-12)
• CCSS.MATH.CONTENT.HSA.CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
• Algebra: Reasoning with Equations & Inequalities (9-12)
• CCSS.MATH.CONTENT.HSA.REI.C.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
• Related Resources

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## SubjectToClimate™

All resources can be used for your educational purposes with proper attribution to the content provider.