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Lesson Plan
EngageNY

Graphs of Simple Nonlinear Functions

For Teachers 8th Standards
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
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Lesson Plan
EngageNY

Nonlinear Models in a Data Context

For Teachers 8th Standards
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
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Lesson Plan
EngageNY

Linear and Nonlinear Expressions in x

For Teachers 8th Standards
Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...
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Lesson Plan
Virginia Department of Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
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Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
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Worksheet
Curated OER

Numerical Analysis: Nonlinear Equations

For Students Higher Ed
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
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Assessment
Inside Mathematics

Functions

For Teachers 9th - 12th Standards
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
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Worksheet
Curated OER

Solving Nonlinear Systems of Equations

For Students 9th - 11th
For this nonlinear systems of equations worksheet, learners solve nonlinear equations through elimination. They read statements, write equations, and solve systems of equations. This two-page worksheet contains 20 multi-step problems.
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Workbook
1
1
University of Utah

Functions

For Students 8th Standards
Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then work...
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Lesson Plan
EngageNY

Nonlinear Motion

For Students 8th Standards
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...
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Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
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Assessment
Charleston School District

Pre-Test Unit 3: Functions

For Students 8th Standards
How does an input affect an output? Assess your learners' ability to answer this question using this pre-test. Scholars answer questions about the basics of a function. Topics include determining if a table or statement represents a...
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Activity
Education Development Center

Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
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Worksheet
Curated OER

Solving Nonlinear Systems of Equations

For Students 9th - 11th
In this systems of equations worksheet, students solve nonlinear systems of equations. This two-page worksheet contains 20 problems.
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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
Curated OER

Do Two Points Always Determine a Linear Function II?

For Teachers 9th - 12th Standards
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
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Lesson Plan
Curated OER

Graphing Nonlinear Equations

For Teachers 6th - 7th
Students graph non-linear equations. In this algebra lesson, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.
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Lesson Plan
Illustrative Mathematics

Do Two Points Always Determine a Linear Function?

For Teachers 9th - 12th Standards
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
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Assessment
Charleston School District

Review Unit 4: Linear Functions

For Students 8th Standards
It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.
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Lesson Plan
EngageNY

Graphs of Functions and Equations

For Teachers 8th Standards
Explore the graphs of functions and equations with a resource that teaches scholars how to graph functions as a set of input-output points. They learn how the graph of a function is the graph of its associated equation.
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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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Worksheet
Curated OER

Conic Sections and Nonlinear Systems of Equations

For Students 8th - Higher Ed
In this conic sections and nonlinear equations activity, students solve 25 multiple choice problems. The activity is a review of the conic sections and nonlinear systems chapter of an intermediate algebra course, so the topics vary widely.
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Lesson Plan
EngageNY

The Concept of a Function

For Students 8th Standards
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 5

For Students 8th Standards
Give your class a chance to show how much they've learned in the module with an end-of-module assessment task that covers all topics from the module including linear and non-linear functions and volumes of cones, cylinders, and spheres.