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 the...
Curated OER
The Quadratic Formula
In this Algebra II worksheet, 11th graders use the quadratic formula to solve quadratic equations and examine the discriminate to determine the number and type of roots a quadratic equation will have. The two page worksheet contains...
Kuta Software
Imaginary Numbers
Here is a worksheet that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and complex...
Curated OER
Quadratic Formula
Students explore the use of the quadratic formula. After solving problems using factoring and completing the square, students then use the quadratic formula. They evaluate the discriminate, determine the nature of the roots and...
Curated OER
Quadratic Equations with Complex Coefficients
Students solve and graph quadratic equations. In this algebra activity, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
Curated OER
Discovering Math: Concepts in Algebra
Learners learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
Curated OER
Exercise Set 2.6: An Introduction to Functions
In this functions learning exercise, students solve 70 short answer questions. Students find domain of functions and evaluate them for a given value. Students determine if a mapping diagram represents a function.
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Curated OER
Let's Look at Those Roots!
In this root instructional activity, learners determine the roots of given quadratic equations. They solve algebraically or by graphing. This one-page instructional activity contains 8 problms.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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
Completing the Square Lesson Plan
Students investigate the origin of the quadratic function. In this algebra lesson, students analyze solving an equation by completing the square. They compare the early methods as compared to our method for solving quadratics.
Flipped Math
Unit 9 Review: Factoring
Make it complete. Pupils work through 16 problems to review factoring. The problems consist of straight factoring of polynomial expressions, solving equations by factoring, and applying factoring to real-world problems.
Curated OER
Quadratic Functions
In this quadratic functions worksheet, students complete a variety of activities, first reading explanations and examples, then solving equations.
Curated OER
Quadratics Quiz
In this algebra worksheet, solve 3 multi-step problems involving various quadratic functions.
Curated OER
Solving Equations by Factoring
For this solving equations by factoring worksheet, students solve and complete 10 different problems. First, they solve each equation using the Zero product property. Then, students define a variable and use an equation to solve the...
Curated OER
Quadratic Functions And Their Graphs
Students engage in a classroom discussion about the shape of a parabola using real world examples. They define and discuss the important vocabulary and the teacher scaffolds by making clarification as necessary. For practice students...
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, learners sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Curated OER
Quadratic Rules and Graphs
Students identify the properties of quadratic equations. For this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Curated OER
Word Problems
In this algebra worksheet, students solve word problems using algebra. They factor using the quadratic formula and complete the square. There are 4 problems with an answer key.
Curated OER
Further Differentiation
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
Curated OER
Radical Equations
In this radical equations worksheet, students complete short answer questions about radical equations. Students answer 7 questions and look at many examples.
Curated OER
Inequalities
In this inequalities worksheet, 9th graders solve and complete 18 different types of problems. First, they use systems of 2 equations/2 unknowns to solve each word problem shown. Then, students graph each and identify the vertex plus 2...