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Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II lesson, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The lesson is designed as...
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Graphing Calculator Investigation - Second Degree Polynomial Functions
Students solve quadratic functions. In this solving quadratic functions instructional activity, students determine the height of an object at a given time. Students determine the time at which an object hits the ground. Students answer...
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Solving Algebraic Expressions
Learners simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
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Polynomials
Ninth graders classify and solve polynomials. They use algebra tiles to add or subtract polynomials. Students solve the area of specific rectangles using algebra tiles. Students identify coefficients and classify polynomials.
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Does Order Really Matter?
Investigate the order of operations! Learners participate in interactive multi-media activities to examine and solve multi-step equations, inequalities. They evaluate formulas and simplify monomials and polynomials.
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Measurement: 2D and 3D
Students solve volume problems. In this geometry lesson, the class watches a video about clean water (link provided) and individuals compare the volume of different prisms, including an actual drinking glass. Extension activities include...
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Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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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...
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Graphing Polynomials
Students graph polynomial equations using different methods. In this algebra lesson, students identify the different ways the x and y values relate in a graph. They solve for x by finding the zero's of the polynomials.
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Multiply Polynomials
Learners solve polynomial problems. In this algebra lesson, students multiply polynomial equations using FOIL and quadratic formula. They complete the square and factor by grouping.
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Adding and Subtracting Polynomials Using Algebra Tiles
Students add and subtract polynomials. In this algebra lesson, students use algebra tiles to perform operation of polynomials. They model their problems and understand how to combine like terms using tiles.
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Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
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How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
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7th Grade Math: Algebra (Distributive Property)
With algebra tiles in hand 7th graders will uncover the wonders of the distributive property of multiplication. They will take a pre-test, define the distributive property, then model and practice using their tiles to solve basic...
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Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
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Polynomial Multiplication
Students review information about how to multiply polynomials and then work in pairs to complete a worksheet. They use graphing calculations to help them solve their math problems.
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Extra Practice 17: Addition and Subtraction of Polynomials
In this polynomial worksheet, students use addition and subtraction to solve equations containing polynomials. There are 20 problems on this two-page worksheet.
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Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
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Matrices at the Speed of Light!
Perform operations using matrices in this algebra lesson. Middle schoolers add, subtract, and multiply matrices. Additionally, they solve systems of equations using matrices.
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Quadratic Formula
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
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Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
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Perfect Squares and Factoring
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
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"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...