EngageNY
Linear Systems in Three Variables
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.
Radford University
Projectile Motion and Quadratic Functions
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...
Curated OER
Linear and Quadratic System
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.
Texas Instruments
Factoring and Solving Quadratic Binomials
Here is a TI-Navigator™ activity that allows learners 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...
Mathed Up!
Simultaneous Equations with a Quadratic
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 worksheet of practice problems.
Virginia Department of Education
Nonlinear Systems of Equations
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...
West Contra Costa Unified School District
Linear-Quadratic Systems
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...
EngageNY
Systems of Equations
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.
Inside Mathematics
Quadratic (2009)
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...
Curated OER
Investigation: Linear Quadratic Systems
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...
Curated OER
Solving Quadratic Equations
In 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.
EngageNY
Graphing Systems of Equations
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.
EngageNY
Solving Quadratic Equations by Completing the Square
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...
Flipped Math
Unit 5 Review: Systems of Equations
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...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
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...
Curated OER
Integrated Algebra/Math A Regents Questions: Systems of Quadratic/Linear Equations
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.
Curated OER
Linear Systems and Quadratics
In this algebra learning exercise, 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.
Texas Instruments
Math TODAY for TI-Navigator System - Is Leisure Time Really Shrinking?
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...
Curated OER
Solving a System of Linear and Quadratic Equations
In 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 response...
Curated OER
Solving a System of Equations
In this Algebra II activity, 11th graders determine the solution to a system of one linear and one quadratic equation. The two page activity contains a combination of nine multiple choice and free response questions. Answers are...
Curated OER
Math TODAY for TI-Navigator System - Humidity Makes Air Feel Even Hotter ? Part II
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...
Concord Consortium
Intersections I
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...
Ohio Department of Education
The Solution is Complex
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....
Curated OER
System of Two Quadratic Inequalities
Learners 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.