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Lesson Plan
Curated OER

Worksheet 28: Parametric Equations

For Teachers 12th - Higher Ed
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
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Assessment
Concord Consortium

Parameters and Clusters II

For Students 9th - 12th Standards
Let's give parameters a second try. Scholars take a second look at a system of linear equations that involve a parameter. Using their knowledge of solutions of systems of linear equations, learners describe the solution to the system as...
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Worksheet
Yummy Math

Parametric Equations and a Heart

For Students 8th - 12th Standards
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
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Lesson Plan
Curated OER

Graphing Quadratic Equations

For Teachers 8th - 12th
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson plan is for the...
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Lesson Plan
Curated OER

Real World Equations!

For Teachers 9th - 12th
Help your math class "get the picture" in a quadratic equation instructional activity that integrates digital photography. Individuals take pictures to help them model the shape of an item or situation using algebraic equations. They...
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Assessment
Concord Consortium

Parameters and Clusters I

For Students 9th - 12th Standards
Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.
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Lesson Plan
EngageNY

Vectors and the Equation of a Line

For Students 11th - 12th Standards
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
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Lesson Plan
Curated OER

Investigating Equations of Lines

For Teachers 9th - 12th Standards
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
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Lesson Plan
Illustrative Mathematics

Buying a Car

For Teachers 8th - 12th Standards
Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...
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Performance
Radford University

Rocket Quads

For Teachers 9th - 12th Standards
How high will it fly? Pairs build straw rockets and launch them at different angles and determine the height and horizontal distance of the flight path. Teams make conjectures about how the angle affects the measured distances and use...
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Lesson Plan
Curated OER

Graph Dynamic Linear Equations

For Teachers 8th - 10th
Learners explore the concept of linear equations. In this linear equation lesson, students change parameters of an equation and notice the effect it has on its graph.
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Lesson Plan
1
1
NASA

Simulating Weightlessness

For Teachers 10th - 12th
Floating across the top. Class groups examine the parabolas, written as parametric equations, that model the flight path of NASA's C-9 as it simulates weightlessness. They continue their exploration by changing the parameters to...
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Assessment
Illustrative Mathematics

Exploring Sinusoidal Functions

For Students 9th - 12th Standards
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
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Lesson Plan
Curated OER

Introduction to Parametric Equations

For Teachers 9th - 10th
Students write and solve parametric equations. In this algebra lesson, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.
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Worksheet
Curated OER

Math 212: Review of Linear Systems

For Students Higher Ed
For this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Numerical Analysis: Solving Systems Of Non-Linear Equations

For Students Higher Ed
In this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
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Worksheet
Curated OER

Math 224: Review of Linear Systems

For Students Higher Ed
In this linear systems worksheet, students find the intersection of two planes, and identify solutions for a linear equation. This two-page worksheet contains five problems.
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Lesson Plan
Curated OER

Investigating Velocity Effects at Takeoff

For Teachers 8th - 10th
Students use, with increasing confidence, problem-solving approaches to investigate and explain mathematical content. They make and test conjectures. They use tables and graphs as tools to interpret expressions, equations, and inequalities.
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Interactive
1
1
GeoGebra

Getting on the Right Wavelength

For Students 9th - 12th Standards
Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...
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Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree? (Version 2)

For Teachers 9th - 12th Standards
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
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Assessment
Illustrative Mathematics

Identifying Quadratic Functions (Vertex Form)

For Students 9th - 12th Standards
Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...
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Worksheet
Curated OER

Math 214 Quiz 10 - Linear Systems

For Students Higher Ed
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Math 214 Quiz 8 - Linear Systems

For Students Higher Ed
In this linear system worksheet, students consider the linear system under given parameters. They identify the solution set of a matrix under given cases. This two-page worksheet contains three problems.
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Lesson Plan
Curated OER

Illegal Fish

For Teachers 9th - 12th Standards
Your young fishermen learn about exponential function growth by interpreting the pieces of the given equation within the context of numbers of fish in a lake.