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Lesson Plan
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
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Lesson Plan
Curated OER

Equal Differences Over Equal Intervals 1

For Teachers 9th - 12th Standards
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover the...
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Lesson Plan
Curated OER

Linear and Exponential Models

For Teachers 9th - 12th
High schoolers investigate the differences between linear and exponential models.  In this linear and exponential models lesson, students make a table of given data.  High schoolers determine if the data is linear or exponential by...
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Lesson Plan
Curated OER

US Airports, Assessment Variation

For Teachers 7th - 9th Standards
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
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Lesson Plan
EngageNY

Modeling an Invasive Species Population

For Students 9th - 10th Standards
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications. 
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Lesson Plan
Curated OER

Linear Programming

For Teachers 10th - 12th Standards
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...
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Lesson Plan
West Contra Costa Unified School District

Comparing Linear and Quadratic Functions

For Teachers 8th - 10th Standards
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
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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
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 lesson.
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Lesson Plan
Curated OER

Linear Functions: Slope, Graphs, and Models

For Teachers 8th - 9th
This math packet provides an opportunity for learners to graph two linear equations on a coordinate grid and determine the slope and y-intercept of each. They use the equation of five lines to find the slope and y-intercepts, and then...
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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
EngageNY

Piecewise and Step Functions in Context

For Students 9th - 10th Standards
Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase revenue. 
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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
EngageNY

The Height and Co-Height Functions of a Ferris Wheel

For Students 10th - 12th Standards
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel. 
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Lesson Plan
EngageNY

Graphs of Quadratic Functions

For Students 9th - 10th Standards
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
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Lesson Plan
Curated OER

Introduction to Functions

For Teachers 7th - 9th
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
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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
EngageNY

Analyzing a Data Set

For Teachers 9th - 10th Standards
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work to...
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Lesson Plan
EngageNY

Modeling from a Sequence

For Teachers 9th - 10th Standards
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
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Lesson Plan
Mathematics Assessment Project

Comparing Lines and Linear Equations

For Teachers 8th Standards
Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...
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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

More Complicated Functions: Introduction to Linear Functions

For Teachers 9th - 12th
High schoolers explore the concept of linear functions. In this linear functions instructional activity, students translate linear functions from tables to graphs to equations. High schoolers use an applet to write a function rule for...
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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...