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Curated OER
Quadratics Introduction
Students investigate quadratic functions graphically and algebraically.
Curated OER
Functions and Applications: Maximum Quadratic functions
In this maximum of quadratic equations activity students compute the maximum height of 5 independent events. Each problem uses a golf game as the setting. Students use a quadratic equation to solve the 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...
EngageNY
Complex Numbers as Solutions to Equations
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Alabama Learning Exchange
Complex Numbers Solutions
Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 4)
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Curated OER
Quadratics: Polynomial Form
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
Curated OER
Solving Quadratic Equations by Graphing
In this quadratic equation activity, students solve quadratic equations by graphing. They identify the exact roots or state consecutive integers between which the roots lie. This one-page activity contains seven problems.
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous instructional activity, pupils learn algebraic methods of solving the systems.
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Curated OER
Graphs of Quadratic Equations
In this graphs of quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the vertex using...
Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
EngageNY
Translating Graphs of Functions
If you know one, you know them all! Parent functions all handle translations the same. This lesson examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs when...
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 4)
Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...
Curated OER
Lesson 3: The Quadratic Equation
Students explore quadratic equations. They use interactive graphs (on the Internet) to verify and solve solutions. Students solve quadratic equations by using square roots. Students examine examples of inequalities.
Curated OER
Extra Practice 44: Solving Problems Using Quadratic Equations
In this quadratic worksheet, pupils read short stories, write quadratic equations and use their problem solving skills to solve the equation. Students use the Pythagorean Theorem to find the length of a diagonal, dimensions of a...
Math Worksheet Center
Linear Quadratic Systems
In this linear quadratic system worksheet, students explore a system with a linear and a quadratic equation. With the given equations, students graph the parabola. They identify the axis of symmetry, the slope, points of intersection,...
Curated OER
Extra Practice 45: Solving Equations Reducible to Quadratic
In this equation worksheet, students solve complex equations with four or more terms. All equations reduce to quadratic expressions. There are 16 problems on this two-page worksheet.
Curated OER
Chapter 10 - Objective 1.1 Quadratic Equation
In this quadratic equation activity, students solve equations by factoring. They write quadratic equations that have a solution with a given pair of numbers. This one-page activity contains ten problems.
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