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Lesson Plan
Curated OER

Graphs and Functions

For Teachers 8th - 10th
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the instructional...
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Lesson Plan
Illinois State Board of Education

Is It Linear?

For Teachers 6th - 9th Standards
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
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Lesson Plan
EngageNY

Piecewise Functions

For Students 9th - 10th Standards
Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two pieces...
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Lesson Plan
2
2
Teach Engineering

Applications of Linear Functions

For Teachers 7th - 9th Standards
It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...
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Lesson Plan
Kenan Fellows

Applying Linear Regression to Marathon Data

For Teachers 10th - 12th Standards
It's not a sprint, it's a marathon! Statistic concepts take time to develop and understand. A guided activity provides an opportunity for individuals to practice their linear regression techniques in spreadsheet software. The activity...
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Lesson Plan
Curated OER

Keep it Bottled Up: Linear Rates of Pressure Increase

For Teachers 9th - 12th Standards
Pupils explore linear functions in this lesson when they collect and analyze data as a chemical reaction proceeds. Learners record pressure versus time data and model the data as a linear function. They also examine the concept of slope...
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Lesson Plan
Curated OER

More Complicated Functions: Introduction to Linear Functions

For Teachers 9th - 12th
Learners explore the concept of linear functions. In this linear functions activity, students translate linear functions from tables to graphs to equations. Learners use an applet to write a function rule for a linear function in...
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Lesson Plan
Curated OER

Introduction to Linear Functions

For Teachers All
Students are introduced to the basic ideas needed for understanding linear functions.
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Lesson Plan
Curated OER

Introduction to Linear Functions

For Teachers 9th - 12th
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
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Lesson Plan
Curated OER

What's My Rule? Simple Linear Functions

For Teachers 6th - 8th
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
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Lesson Plan
Curated OER

Patterns and Linear Functions

For Teachers 9th - 10th
Students investigate the concept of a linear function. They use geoboards to find the interior angle sums. The sum of the angles is found to equal 180 degrees. Students also investigate quadrilaterals.
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Lesson Plan
Curated OER

Solving Nonlinear Systems of Equations

For Teachers 10th - 11th
In this system of equations worksheet, students solve nonlinear systems of equations using the substitution method. An example of how to solve is given prior to the assignment. Twenty problems are available on this two-page worksheet.
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Lesson Plan
EngageNY

Exploring the Symmetry in Graphs of Quadratic Functions

For Students 9th - 10th Standards
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...
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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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Lesson Plan
1
1
West Contra Costa Unified School District

Linear-Quadratic Systems

For Teachers 8th - 10th Standards
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
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Lesson Plan
Mathematics Assessment Project

Representing Functions of Everyday Situations

For Teachers 10th - 12th Standards
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
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Lesson Plan
American Statistical Association

Nonlinear Modeling: Something Fishy

For Teachers 9th - Higher Ed Standards
There are plenty of fish in the sea, but only a few good resources on regression. Young mathematicians first perform a linear regression analysis on provided weight and length data for fish. After determining that a linear model is not...
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Lesson Plan
West Contra Costa Unified School District

Evaluating Functions Graphically and Algebraically

For Teachers 8th - 10th Standards
High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.
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Lesson Plan
EngageNY

Increasing and Decreasing Functions 1

For Teachers 8th Standards
Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.
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Lesson Plan
Curated OER

Profitable Soda Stand

For Teachers 8th - 10th
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
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Lesson Plan
Curated OER

In the Billions and Linear Modeling

For Teachers 9th - 12th Standards
Your learners analyze population data to discern if it best fits a linear scenario. The idea of change by equal differences over equal intervals is enforced in this real-life task. 
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Lesson Plan
EngageNY

The Inverse Relationship Between Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
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Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Lesson Plan
EngageNY

Representations of a Line

For Teachers 8th Standards
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...

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