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Lesson Plan
Willow Tree

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.
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Lesson Plan
EngageNY

Graphs of Linear Functions and Rate of Change

For Teachers 8th Standards
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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Interactive
CK-12 Foundation

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
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Lesson Plan
Illustrative Mathematics

Downhill

For Teachers 7th - 9th Standards
A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...
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Lesson Plan
Virginia Department of Education

Graphing Systems of Inequalities

For Teachers 8th - 10th Standards
Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson plan, they solve a problem involving burgers and cheeseburgers using a system of...
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Lesson Plan
West Contra Costa Unified School District

Introduction to Solving Linear Inequalities in One Variable

For Teachers 8th - 10th Standards
Life isn't fair ... like inequalities. After first reviewing inequality symbols and how to read inequality statements, learners discover how to solve one-step inequalities and graph their solution sets.
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Lesson Plan
Teach Engineering

All About Linear Programming

For Teachers 8th - 10th Standards
Class members connect engineering with an understanding of linear programming using a technical resource. Scholars learn about linear programming (linear optimization) and how it applies to engineering design in the first of two modules....
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Lesson Plan
Illustrative Mathematics

Distance across the channel

For Teachers 7th - 9th Standards
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
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Lesson Plan
EngageNY

The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m

For Teachers 8th Standards
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
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Lesson Plan
Annenberg Foundation

Skeeters Are Overrunning the World

For Teachers 8th - 10th Standards
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 4)

For Teachers 9th - 12th Standards
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum covering...
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Lesson Plan
West Contra Costa Unified School District

Solving Quadratic Equations – Alternative Methods

For Teachers 9th - 12th
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
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Lesson Plan
American Statistical Association

What Fits?

For Teachers 6th - 8th Standards
The bounce of a golf ball changes the result in golf, mini golf—and a great math activity. Scholars graph the height of golf ball bounces before finding a line of best fit. They analyze their own data and the results of others to better...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
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Workbook
1
1
University of Utah

Representations of a Line

For Students 8th Standards
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of parallel and...
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Interactive
CK-12 Foundation

Graphs of Linear Model of Direct Variation: On the Moon

For Students 8th - 12th Standards
You'll be over the moon about this resource. Scholars draw a line representing the weight of an object on the moon based on its mass. Consideration of the constant of proportionality allows them to see relationships between weight of an...
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Interactive
CK-12 Foundation

Graphs Using Slope-Intercept Form: Zip-Line

For Students 7th - 9th Standards
Zip lines aren't so scary when all your scholars use them for is math. Young mathematicians see how the slope of a zip-line to a building changes as the height changes. They answer a set of challenge questions regarding the scenario.
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Interactive
CK-12 Foundation

Graphs Using Slope-Intercept Form: Mountain

For Students 7th - 9th Standards
Climb every mountain, even one you create in an interactive. Individuals solve a problem involving slopes and distances of campsites on a mountain. Answering a set of challenge questions aids in the process.
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Lesson Plan
Virginia Department of Education

Transformation Investigation

For Teachers 8th - 10th Standards
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
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Handout
2
2
Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
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Lesson Plan
Willow Tree

Approximating a Line of Best Fit

For Students 9th - 12th Standards
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
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Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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Lesson Plan
1
1
Wordpress

Introduction to Exponential Functions

For Teachers 8th - 10th Standards
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...

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