EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
CK-12 Foundation
Equations of Circles: Finding the Equation of a Circle
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
Curated OER
Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations
In this solving equations learning exercise, 9th graders solve and complete 21 various types of problems. First, they use the method shown to find the value of xin each equation. Then, students use an algebraic approach to solve the...
Curated OER
Multiplying Polynomials
In this multiplying polynomials worksheet, students solve and complete 20 different problems. First, they distribute both terms of one polynomial times both terms of the other polynomial. Then, students combine like terms and complete.
Curated OER
Balancing Equations
In this balancing equations worksheet, students balance ten equations by placing the proper coefficients in front of reactants and products to balance the number of atoms.
Curated OER
Using Fourier Series
In this Fourier series instructional activity, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree...
Curated OER
Hess's Law Cycle
In this chemistry instructional activity, learners write the balanced equation for the formation of one mole of fat from its elements under standard conditions. Then they write the balanced equation of the combustion of this fat....
Curated OER
Chapter 12 - Objective 2.1 Logarithm Form
In this logarithm worksheets, write expressions in expanded form, exponential form and logarithmic form. They evaluate and solve logarithms. This one-page worksheet contains ten problems.
Curated OER
Linear Equations
Students solve systems of linear equations by using inverse matrices lead by a class discussion. They write the identities of the matrices given, review, and grade as a class. Students also write the matrix as the product of the...
Teach Engineering
Sliders (for High School)
Slip sliding away. Groups investigates the two types of friction by running an experiment that allows them to calculate the coefficient of static friction and the coefficient of kinetic friction. The experiment uses a box, a basket, and...
Statistics Education Web
NFL Quarterback Salaries
Use statistics to decide if NFL quarterbacks earn their salaries! Learners study correlation coefficients after using technology to calculate regression equations. Through the data, they learn the meaning of correlation and correlation...
Curated OER
Oxidation-Reduction Reactions
Focus on oxidation-reduction reactions with a review worksheet. Junior chemists answer short-answer questions before they write balanced half-reaction and full-reaction equations.
Flipped Math
Factor Trinomials by Grouping
Help! The leading coefficient is not one. Learners view a video showing a technique to factor trinomials when the leading coefficient is not one. Pupils try a few examples including solving equations by factoring and check their answers...
Mathematics Vision Project
Module 1: Getting Ready Module
This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
College Board
Engaging the Intuition in Statistics to Motivate
Motivation is key to learning. The author points out that it is important to engage intuition for aspects of statistics that pupils find counter-intuitive. Three strategies—using multiple representations, using intuitive analogies, and...
Curated OER
Going Back to Your Roots
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
PHET
Graphing Quadratics
Quadratics only have three terms, but each one is fairly important. Scholars use an interactive to explore how each coefficient affects the graph of a quadratic function. They also see how changes to the vertex form and how changes to...
Curated OER
Regents High School Examination - Physics 2010
Give every type of learner in your physics class an opportunity to demonstrate what they have learned throughout the year. From analyzing tables and graphs, to evaluating diagrams and solving problems, there is an outstanding variety of...
Math Guy
Algebra 1 Practice Test
The worksheet is great but the answer key is fantastic! This practice test focuses on quadratics and polynomials. Learners are expected to be able to simplify and factor expressions and solve equations. The best part is the answer key...
EngageNY
Completing the Square (part 2)
Give classes confidence in completing the square with a resource that develops the process of completing the square of more complex problems, including fractions and values greater than one. It then uses quadratic modeling for profit and...
Curated OER
Solving Inequalities with Fractional Coefficients
For this algebra worksheet, students solve inequalities by factoring. They graph their solution on a number line. There is an answer key.
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
Curated OER
Chapter 8 - Objective 3.1 - Factoring
In this factoring worksheet, students factor polynomials. Equations contain coefficients and exponents. The FOIL method may be used for factoring. This one-page worksheet contains five problems.