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CK-12 Foundation
Ck 12: 1.5 From Quadratics to Complex Numbers
This section introduces imaginary and complex numbers in the context of solutions to quadratic equations that don't have real-number solutions.
Math Planet
Math Planet: Completing the Square
If you've got a quadratic equation on the form of ax^2 + c = 0 Then you can solve the equation by using the square root of x = square_root(-c/a) or x = -square_root(-c/a)
CK-12 Foundation
Ck 12: Algebra Ii: 1.14 Polynomial Models
Learning to express real-life situations as mathematical functions (models) allows seemingly complex ideas and actions to be broken down into smaller, simpler parts and analyzed. In this section are three types of of those models:...
Khan Academy
Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations
Lesson 3 of 4 for Passport to Advanced Math. Learners will solve systems of equations in two variables in which one equation is linear and the other equation is quadratic or another nonlinear equation; relate properties of the function f...
Texas Instruments
Texas Instruments: Math a Review 1
This StudyCards stack enables students to review concepts in algebra, arithmetic, and geometry, in preparation for the Math A Exam held in New York. They solve problems involving scientific notation, factoring, linear equations, rate of...
Shodor Education Foundation
Shodor Interactivate: Algebra Quiz
Students are able to have an on line quiz where the score and time elapsed is recorded on various level of solving equation problems.
Illustrative Mathematics
Illustrative Mathematics: A Rei Pythagorean Triples
This task has two separate goals: the first is to solve a pair of equations, one quadratic and the other linear. The second goal is to observe that a point that lies on a circle gives rise to a Pythagorean triple. Aligns with A-REI.C.7.
Other
Interactive Algebra: Factoring, Lesson 2 1
An interactive solver allows you to factor quadratic polynomials. The solver provides hints to help you factor before seeing the answer. Note: These quadratics have a leading coefficient of 1.
Math Planet
Math Planet: The Graph of Y = Ax^2 + Bx + C
A nonlinear function that can be written on the standard form ax^2 + bx + c,where a is not = 0, is called a quadratic function. All quadratic functions hava a U-shaped graph called a parabola.
Illustrative Mathematics
Illustrative Mathematics: A rei.b.4.a: Visualizing Completion of the Square
The purpose of this visualization task is to help provide geometric intuition for the algebraic process called ''completing the square.'' Aligns with HSA-REI.B.4.a.
Texas A&M University
Wtamu Virtual Math Lab: Beginning Algebra: Multiplying Polynomials
A tutorial that shows you how to multiply polynomials and how to use the FOIL method when multiplying binomials.
Mangahigh
Mangahigh: Algebra: Completing the Square Coefficient of X2 More Than 1
This site provides students practice with the concept of completing the square. Students can learn about the topic by completing an interactive tutorial. Students can then take a ten question timed test to practice the skill.
Wyzant
Wyzant: Equation Calculator
Students can input an equation and have the site solve it for them, complete with steps shown and explanations given along the way. Equations must be simple, first- or second-degree with only one variable. A quick list of rules to follow...
Math Medics
S.o.s. Math: Solving Equations
This tutorial explains how to solve a variety of equations, from simple to complex, and gives examples and solutions. Students are asked to solve for x before looking at a solution.
Cool Math
Coolmath: Graphing by Completing the Square Intro
This algebra lesson introduces how to complete the square in a parabola.
BBC
Bbc: Functions
This resource takes a look at graphs of functions, composite functions, inverse functions and how to use completing the square to solve quadratic functions. A number of examples and a practice test are offered.
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
Construct an equation or an inequality that model a given context. Modeling expressions can be quadratic, rational, or exponential.
CK-12 Foundation
Ck 12: Conjectures and Counterexamples
[Free Registration/Login Required] Students learn to make educated guesses, and how to disprove them with valid counterexamples.
Illustrative Mathematics
Illustrative Mathematics: F if Throwing Baseballs
In this task about the height of baseballs thrown into the air, students are asked to compare characteristics of two quadratic functions that are each represented differently, one as the graph of a quadratic function and one written out...