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Curated OER

Find A System

For Teachers 9th - 12th Standards
Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.
Lesson Plan
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1
Curated OER

Linear and Quadratic System

For Teachers 9th - 12th Standards
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
Activity
Curated OER

A Model Solar System

For Teachers 9th - 12th Standards
If Earth is modeled by a grapefruit, what planet could be represented by a golf ball? This activity uses everyday and not-so-everyday objects to create a model of the Solar System.
Activity
5280 Math

More or Less the Same

For Teachers 8th - 10th Standards
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
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Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Lesson Plan
Illustrative Mathematics

Two Lines

For Teachers 7th - 9th Standards
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
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Curated OER

Pairs of Whole Numbers

For Teachers 9th - 12th Standards
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
Activity
Illustrative Mathematics

Dimes and Quarters

For Teachers 8th - 12th Standards
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
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Curated OER

Accurately Weighing Pennies I

For Teachers 9th - 12th Standards
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
Lesson Plan
Curated OER

Quinoa Pasta 3

For Teachers 9th - 12th Standards
A mixture of quinoa and corn is for dinner in this collaborative task that sets up nicely as a system of linear equations. Your supper guests discuss numerical precision and percentages as they formulate a plan of how to solve the problem.
Lesson Plan
Curated OER

Quinoa Pasta 2

For Teachers 9th - 12th Standards
Learners discover that a system of linear equations models this mixture of quinoa and corn in a collaborative task. Your learners receive all the relevant information in this second of three variants of tasks that ask them to find...
Lesson Plan
Illustrative Mathematics

Fixing the Furnace

For Teachers 7th - 9th Standards
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
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Curated OER

Accurately Weighing Pennies II

For Teachers 9th - 12th Standards
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
Activity
5280 Math

Go with the Flow

For Teachers 8th - 12th Standards
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
Activity
PBL Pathways

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
PBL Pathways

Boogie Boards

For Students 10th - Higher Ed Standards
Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...
Activity
101 Questions

Potty Math

For Teachers 9th - 12th Standards
You don't want to flush your money down the drain! Have your classes complete a financial comparison between two different types of toilets. They use linear modeling to determine the most cost-effective model.
Lesson Plan
Curated OER

Solution Sets

For Teachers 9th - 12th Standards
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
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Curated OER

How Much Folate?

For Teachers 9th - 12th Standards
This task includes scaffolding to support the introduction of the writing and graphing of linear inequalities. Then your geometry learners discover that writing down all possible combinations is not feasible so they are led to use...
Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Lesson Plan
Illustrative Mathematics

Summer Swimming

For Teachers 7th - 9th Standards
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
Activity
Illustrative Mathematics

Global Positioning System II

For Teachers 9th - 12th Standards
Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device...
Activity
Curated OER

Tale of the Tape

For Teachers 9th - 12th Standards
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Activity
101 Questions

Stacking Cups

For Teachers 6th - 8th Standards
Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...

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