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Lesson Plan
EngageNY

Linear Systems in Three Variables

For Students 10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
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Performance
Radford University

Projectile Motion and Quadratic Functions

For Teachers 9th - 12th Standards
Model the flight of a ball. Small groups collect time data for how long it takes to toss a ball between two people. The teacher leads a discussion about projectile motion to get the class thinking about how to calculate the equation of...
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Lesson Plan
1
1
Curated OER

Linear and Quadratic System

For Teachers 9th - 12th Standards
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
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Lesson Plan
Texas Instruments

Factoring and Solving Quadratic Binomials

For Teachers 9th - 12th Standards
Here is a TI-Navigator™ activity that allows students to review the concept of factoring and solving quadratic binomials, including a connection to graphical solutions. They enter a number such as -2 using the minus key and not the...
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Assessment
Mathed Up!

Simultaneous Equations with a Quadratic

For Students 9th - 12th
Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a activity of practice problems.
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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
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
1
1
EngageNY

Systems of Equations

For Students 10th - 12th Standards
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 
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Assessment
1
1
Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
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Worksheet
Curated OER

Investigation: Linear Quadratic Systems

For Students 9th - 12th
Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...
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Worksheet
Curated OER

Solving Quadratic Equations

For Students 8th - 11th Standards
For this ways to solve quadratic equations worksheet, learners solve 19 equations using five different methods, then solve four more using the method of their choice.
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Lesson Plan
1
1
EngageNY

Graphing Systems of Equations

For Students 10th - 12th Standards
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 
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Lesson Plan
1
1
EngageNY

Solving Quadratic Equations by Completing the Square

For Students 9th - 10th Standards
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a variety...
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Worksheet
2
2
Flipped Math

Unit 5 Review: Systems of Equations

For Students 9th - 12th Standards
Activate transformers along with algebra systems. Pupils use 10 problems to review transformations of functions to solve a variety of systems of equations. Individuals identify the types of transformations from an equation along with...
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Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
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Worksheet
Curated OER

Integrated Algebra/Math A Regents Questions: Systems of Quadratic/Linear Equations

For Students 9th - 12th
In this system of equations worksheet, students solve 5 graphing and short answer problems. Students graph quadratic and linear systems of equations to find the solutions to the system.
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Worksheet
Curated OER

Linear Systems and Quadratics

For Students 9th - 11th
In this algebra worksheet, students solve quadratic equations and linear equations. They graph their points and identify where the 2 intersect. There are 10 questions with an answer key.
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Lesson Plan
Texas Instruments

Math TODAY for TI-Navigator System - Is Leisure Time Really Shrinking?

For Teachers 9th - 12th Standards
High schoolers organize data from the USA TODAY Snapshot, "Is leisure time really shrinking?" into two scatter plots and determine the quadratic model for each scatter plot. They determine if these graphs intersect and learn the concept...
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Worksheet
Curated OER

Solving a System of Linear and Quadratic Equations

For Students 11th
For this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic.  The three page worksheet contains a combination of nine multiple choice and free...
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Worksheet
Curated OER

Solving a System of Equations

For Students 11th
For this Algebra II worksheet, 11th graders determine the solution to a system of one linear and one quadratic equation.  The two page worksheet contains a combination of nine multiple choice and free response questions.  Answers are...
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Lesson Plan
Curated OER

Math TODAY for TI-Navigator System - Humidity Makes Air Feel Even Hotter ? Part II

For Teachers 8th - 12th Standards
Learners explore quadratic and cubic functions that will model the relationship between air temperature and heat index at fixed relative humidity values. They also make generalizations and apply the findings using their TI-83 Plus or...
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Assessment
Concord Consortium

Intersections I

For Students 8th - 12th Standards
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...
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Lesson Plan
Ohio Department of Education

The Solution is Complex

For Teachers 9th - 12th Standards
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
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Lesson Plan
Curated OER

System of Two Quadratic Inequalities

For Teachers 10th - Higher Ed
Students graph a quadratic inequality and describe its solution set. They solve a system of quadratic equalities graphically and symbolically and as related to a real-world context.

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