Curated OER
The Two Number Problem
In this number problem worksheet, students solve 1 word problem about squaring numbers. Students find two different numbers that are equal when they are squared.
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
Topsy-Turvy Math With Rational Numbers
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
Curated OER
Complex Analysis: Polar Form
In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...
Curated OER
Numerical Analysis/ Examples of Round Off Errors
In this math learning exercise, students practice computing the errors for rounding off and use the skill of analysis to find the true solutions.
Curated OER
Multiplying Polynomials
Help learners study polynomials. They will review how to multiply polynomials either by using the FOIL method if they are multiplying a binomial by another binomial, or by using the distributive property.
Curated OER
Numerical Analysis
In this math instructional activity, learners practice analyzing iterative methods. Then they use the reading to practice problem solving focusing upon convergence.
Oswego City School District
Regents Exam Prep Center: Nature of Roots: Sum and Product
Use these materials for planning classroom instruction on roots of equations: a lesson with a quadratic equation investigation; practice questions with answers that will quiz students' grasp of solving quadratics and roots; and two...
Texas Education Agency
Texas Gateway: Quadratics: Connecting Roots, Zeros, and X Intercepts
Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.
Integrated Publishing
Integrated Publishing: Irrational Roots
A brief lesson on when irrational roots occur when solving quadratic equations, and how to find them. Contains examples, exercises, and solutions.
Other
Algebra Class: Solving and Graphing a Quadratic Equation
Math teacher provides a unit on quadratic equations in which she explains the concepts of solving and graphing quadratic equations through numerous examples and graphs. Hyperlinks are available to each step that ultimately leads to...
CK-12 Foundation
Ck 12: Algebra: Use Square Roots to Solve Quadratic Equations
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations using square roots.
Math Medics
S.o.s. Math: Quadratic Equations
Defines root of a quadratic equation. Portrays graphically what quadratic roots look like. Tutorial includes two basic examples where roots are discovered, and links to pertinent topics elsewhere on the site and a math forum organized by...
Cool Math
Coolmath: Solving Quadratics Recap
This CoolMath resource reviews the ways to solve quadratic equations: factoring, finding square roots, and using the quadratic formula.
Elias Saab
Math Drills: Roots of Polynomial Functions Quiz
An interactive quiz which provides students with a problem involving a polynomial function to be solved. Students input their solution and have the program evaluate it. Hints are available if the student needs them, and explanations are...
Khan Academy
Khan Academy: Quadratics by Taking Square Roots
Solve quadratic equations of the form (x+a)squared-b=0. These can be solved using square roots. For example, solve (x-5)squared-4=0. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video...
Oswego City School District
Regents Exam Prep Center: Solving Quadratic Equations With Complex Roots
These examples use the quadratic formula to solve quadratic equations. Learn what to do when the solution includes a complex number. Use the practice page and teacher resource page to enhance the lesson.
Alabama Learning Exchange
Alex: Discover the Roots of a Polynomial Function
In this lesson, students will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will: *Explore the...
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Integrated Publishing
Integrated Publishing: Graphical Interpretation of Roots
This site compares the graphs of three quadratic functions, and explains how certain characteristics of the graph relate to properties of the equations and their solutions. Contains practice problems, including real-world examples.
Khan Academy
Khan Academy: Features of Quadratic Functions
Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Solving Quadratic Equations With Square Roots
Find a quick, concise explanation for how to solve quadratic equations using square roots. An example is given and clearly explained.
Other
Quick Math: Quadratic Equations
Complete step-by-step investigation of quadratic functions, allowing the user to input the function. Each step, from solving f(x) = 0 to graphing and finding extreme points, is covered in depth, via links for each step (requires...
Integrated Publishing
Internet Publishing: Equal or Double Roots
A demonstration of how to use a quadratic function's discriminant to determine if the function contains equal (double) roots, or real, unequal roots, and how to find them.