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
The Discriminant
In this discriminant worksheet, students use the discriminant to determine the number of roots a polynomial contains. Explanations and examples are provided prior to the exercise. This two-page worksheet contains ten problems.
Curated OER
The Discriminant
For this discriminant worksheet, 9th graders solve 10 different problems related to determining the discriminant in each equation. First, they find the nature of roots in quadratic equations. Then, students determine whether each of the...
Curated OER
Discriminant Testing
The class works to identify solutions using the discriminant.They use part of the quadratic formula to find the number of solutions a quadratic equation will have. They calculate how-many times the quadratic function will cut the x-axis....
Curated OER
Understanding the Discriminant
In this instructional activity, 11th graders use the quadratic formula to find the discriminant. The discriminant tells how many and what kinds of solution a quadratic equation has. There are 22 question son this instructional activity.
Curated OER
Quadratics and the Discriminant
In this algebra worksheet, students calculate the discriminant of a quadratic equation identifying the number of real solution for each equation. They complete the square and use the quadratic function to solve equations. There are 12...
Curated OER
Quadratic Equations
In this Algebra I/Algebra II worksheet, students investigate the various methods that can be used to solve quadratic equations. The one page interactive worksheet contains instruction, worked examples and five practice problems. ...
Curated OER
Discriminant and Quadratics
In this quadratic equation, students find the discriminant using the formula given and identify how many solutions a quadratic function will have. There are 3 problems with answers and examples.
Curated OER
Chapter 4 Review Worksheet: Polynomial
In this polynomial worksheet, students write polynomial equations, determine the discriminant of equations, and find zeros of functions. This two-page worksheet contains 16 problems.
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
Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse of a...
Curated OER
Quadratics Introduction
Students investigate quadratic functions graphically and algebraically.
Curated OER
Further Differentiation
In this further differentiation activity, 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
Linear Systems: Applications of Determinants
In this determinant worksheet, students explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
Curated OER
Lesson #158 Translation and Rotation of Axes
Students practice with the discriminant. In this translation and rotation lesson students view a dissectible cone and discuss the discriminant for the second detree equation. They follow the examples from the instructor regarding the...
Curated OER
Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
Curated OER
Polynomial Function Exam 4
In this polynomial learning exercise, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs,...
Curated OER
Linear Functions
In this algebra learning exercise, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Curated OER
Probability of an event Occurring
In this probability worksheet, 11th graders calculate what the probability of the color of shirt someone is wearing is. There is a solution key with this problem.
Oswego City School District
Regents Exam Prep Center: Quadratic Equations, Discriminant, Quadratic Formula
A wealth of resources for teachers planning classroom instruction on quadratic equations, discriminant, and the quadratic formula: six lessons covering various ways to solve equations, complete with definitions and step-by-step solutions...
Math Planet
Math Planet: Algebra I: Quadratic Equations: The Quadratic Formula
Provides an explanation, examples, and a video lesson all related to the quadratic formula. [2:45]
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations when the answers are complex numbers. Students examine guided notes, review guided practice and attempt practice...
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] In this lesson students identify complex roots of quadratic functions with the quadratic formula, and adding and subtracting complex numbers. Students examine guided...
Integrated Publishing
Integrated Publishing: The Discriminant
A thorough investigation of what the discriminant is and how it is used. Contains examples and exercises, with answers on the page.