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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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Interactive
National Council of Teachers of Mathematics

Geogebra: Residuals and Linear Regression

For Students 9th - 12th Standards
If the line fits, use it. Using a Geogebra interactive, pupils plot points and try to find the best fit line. They assess the linear fit by analyzing residuals. A radio button allows participants to show the regression line and the...
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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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Unit Plan
Mathematics Vision Project

Module 2: Linear and Exponential Functions

For Students 8th - 10th Standards
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
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Unit Plan
Mathematics Vision Project

Module 6: Quadratic Functions

For Students 8th - 10th Standards
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
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Activity
PBL Pathways

College Costs

For Students 10th - Higher Ed Standards
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data, write...
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Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Claim 2

For Teachers 8th Standards
Math can be a problem in eighth grade. Sample items show how problem solving exists within the eighth grade standards. Part of the Gr. 8 Claim 2 - 4 Item Slide Shows series, the presentation contains eight items to illustrate the...
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Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
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Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern 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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Worksheet
Curated OER

Patterns and Algebra - Modeling

For Students 7th - 9th Standards
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
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Assessment
1
1
Balanced Assessment

Monitor Pricing

For Students 9th - 12th Standards
Out with the old and in with the new. Learners use a set of prices of computer monitors from 1994 to make a prediction. They then use one current price and what they know about the old prices to make a more recent prediction. Their...
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Lesson Plan
Curated OER

More Complicated Functions: Introduction to Linear Functions

For Teachers 9th - 12th
Students explore the concept of linear functions. In this linear functions lesson, students translate linear functions from tables to graphs to equations. Students 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
Virginia Department of Education

Exponential Modeling

For Teachers 10th - 12th
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
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Lesson Plan
EngageNY

Using Linear Models in a Data Context

For Teachers 8th Standards
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
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Lesson Plan
Curated OER

Graphs and Functions

For Teachers 7th - 9th Standards
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
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Activity
Curated OER

Logistic Growth Model, Explicit Version

For Teachers 9th - 12th Standards
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...