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Curated OER
Extraneous Solutions
High schoolers find the roots of quadratic equations. In this algebra lesson, students solve radical equations and identify the positive and negative roots. They graph and analyze their functions.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Concord Consortium
Systematic Solution I
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
EngageNY
Modeling with Quadratic Functions (part 2)
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Charleston School District
Solving Exponent Equations
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions.
Curated OER
Quadratic Equations
In this quadratic equations instructional activity, students answer 15 questions about quadratic equations. Students complete the square, use the quadratic formula, write equations in vertex form, and solve quadratic equations by...
Curated OER
Lesson 4: Factoring to Solve Quadratic Equations
Students solve quadratic problems by factoring. Using a specified website, or an interactive CD-ROM, students graph quadratic equations. Together, on the computer, students work example problems. Students observe the link between...
Curated OER
Regents Exam Questions: Quadratic Formula
In this quadratic formula worksheet, students solve 5 multiple choice quadratic equations. Students use the quadratic formula to find the roots or solutions of each equation.
Curated OER
Vertex Form of Parabolas
Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry. Solutions are provided.
Curated OER
Solving Polynomial Equations by Factoring
Students factor polynomial equations. In this algebra instructional activity, students apply the zero product property to factor quadratic equations. They solve real life scenarios by apply the concepts of parabolas.
Curated OER
Linear & Quadratic Functions
In this linear and quadratic equations instructional activity, 9th graders solve 10 different problems related to various linear and quadratic functions. First, they determine the value of a variable by equating linear and quadratic...
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
Solving Quadratic Equations by Graphing
In this quadratic equation worksheet, students solve quadratic equations by graphing. They identify the exact roots or state consecutive integers between which the roots lie. This one-page worksheet contains seven problems.
Curated OER
Chapter 10 - Objective 1.1 Quadratic Equation
In this quadratic equation worksheet, students solve equations by factoring. They write quadratic equations that have a solution with a given pair of numbers. This one-page worksheet contains ten problems.
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 activity to help classes see...
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
Quadratic Equation Calculator
In this Algebra II worksheet, 11th graders use an online quadratic equation solver to find the zeros of a quadratic. The one page interactive worksheet provides one worked example and the equation solver.
Curated OER
Inequalities 7.3
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
Mathed Up!
Quadratic Formula
Young scholars explore how to solve any quadratic equation with a video about the quadratic formula. They then use the quadratic formula to solve a set of quadratic equations.
Curated OER
Quadratic Parabolas
In this math worksheet, students find the solutions of the problems for quadratic equations. They graph the parabolas and find the missing sides of the triangles.
Curated OER
Solving Quadratics
In this algebra worksheet, students solve quadratics using the quadratic formula and completing the square. There are 13 questions on this test.
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.