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Unit Plan
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#### Got Gas

For Teachers 9th - 12th Standards
How much gas does it take to drive around town? The class uses a variety of mathematical procedures to take a look at the use of gas for transportation. Class members use a different unit to determine the cost of driving a car as opposed...
Instructional Video12:09
1
In 1 Collection
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#### Inverse Matrices, Column Space and Null Space | Essence of Linear Algebra, Chapter 6

For Students 11th - Higher Ed Standards
Determine the geometric representation to the solution of a system of linear equations. The resource shows how scholars can represent a system of linear equations as a linear transformation. The video discusses using an inverse matrix to...
Interactive
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#### Graphs of Linear Systems: Star Lines

For Students 8th - 10th Standards
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
Interactive
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#### Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
Interactive
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#### Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Interactive
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#### Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
Interactive
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#### Linear Systems with Addition and Subtraction: XYZ Tiles

For Students 8th - 10th Standards
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
Unit Plan
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#### Systems of Equations and Inequalities

For Teachers 9th - 10th Standards
It's raining (systems of) cats and dogs! The fifth unit in a nine-part course presents systems of equations and inequalities within the context of pets. Scholars use systems of inequalities to represent constraints within situations and...
Activity
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#### Gas Prices

For Teachers 10th - Higher Ed Standards
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
Activity
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#### The Wheel Shop

For Students K - 12th Standards
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...
Activity
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#### Arsenic and Selenium Removal From Drinking Water at a Minimal Cost

For Teachers 10th - Higher Ed Standards
Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...
Lesson Plan
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#### How Much is that Tune?

For Teachers 7th - 10th Standards
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
Assessment
1
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#### Bagels or Donuts

For Students 9th - 12th Standards
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
Assessment
1
In 1 Collection
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#### Telephone Service

For Students 9th - 12th Standards
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
Instructional Video4:42
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#### Substitution to Solve a System of Two Equations

For Students 9th - 12th Standards
Apply different algebraic concepts to solve a system of equations using substitution. The video tutorial explains each step of the process. The instructor then shows how to check the solution to ensure it is the proper answer.
Assessment
1
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#### Coffee

For Teachers 9th - 12th Standards
There are many ways to correlate coffee to life, but in this case a instructional activity looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and...
Assessment
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#### Graphs (2006)

For Teachers 9th - 12th Standards
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a activity that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Lesson Plan
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#### Solving Linear Equations in Two Variables

For Teachers 9th - 12th Standards
Solving problems about pen and paper with systems of equations ... or is it the other way around? In the instructional activity, learners first interpret expressions and use equations in two variables to solve problems about notebooks...
Assessment
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#### Reasoning with Equations and Inequalities

For Students 8th - 10th Standards
Provide class members with an opportunity to practice reasoning. A resource contains six skill-based items aligned to the Common Core. The items require pupils to reason abstractly and attend to precision.
Lesson Plan
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#### Systems of Equations

For Students 8th - 11th Standards
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
Instructional Video3:06
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#### Introduction to Systems of Equations - Concept

For Students 8th - 10th Standards
X marks the spot—or the solution. A concept video introduces a systems of equations that pupils can expect in a math career to demonstrate real-world application. It then discusses different ways of solving systems along with the...
Assessment
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#### Ground Beef

For Students 7th - 10th Standards
Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying leanness,...
Assessment
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#### Dental Impressions

For Teachers 7th - 10th Standards
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Lesson Plan
1
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#### Suit Yourself: Fitted for Space

For Teachers 9th - 12th Standards
If he keeps this up, will he have enough air? After watching a video about spacewalks, groups of four brainstorm aspects of spacesuit design and present it to the rest of the class. Groups create mathematical models of oxygen use for two...