Worksheet
Curated OER

Difference of Equations

For Students 11th - 12th
In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
Worksheet
Curated OER

Equation Basics

For Students 8th - 10th
In this equation basics worksheet, students solve simple algebraic equations. This one-page self-checking worksheet may be completed on-line. If preferred, an answer sheet may be printed.
Lesson Plan
Curated OER

Factoring

For Teachers 9th
In this Algebra I worksheet, 9th graders factor algebraic expressions completely.  The one page worksheet contains ten problems.  Answers are provided. 
Lesson Plan
Curated OER

Regents Exam - Powers: Binomial Expansions

For Teachers 9th - 12th
In this binomial expansions worksheet, students solve 8 multiple choice and short answer questions.  Students find a specific term in a given binomial expansion.
Lesson Plan
Curated OER

Factoring Quadratics

For Teachers 9th - 11th
Students solve quadratics using factoring. In this algebra lesson, students rewrite word problems and use properties of quadratic equations to solve.
Lesson Plan
Curated OER

Families of Functions

For Teachers 9th - 12th Standards
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
Lesson Plan
Curated OER

Completing the Square Algebraically

For Teachers 9th - 12th Standards
Using TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form.  By the end of this lesson, they should be able to change any quadratic equation into vertex form. 
Lesson Plan
Curated OER

Cantilevers

For Teachers 6th - 12th
Students perform an experiment to find the linear relationship between the appllied weight and the bend of the cantilever. In this linear relationships instructional activity, students follow detailed directions to set up an experiment....
Lesson Plan
Curated OER

Using Polynomials To Find Perimeter

For Teachers 5th
Fifth graders engage in the solving of a real life application problem using the concept of calculating perimeter. They apply the operations of calculating with the polynomials for finding the perimeter of triangles,quadrilaterals, and...
Worksheet
Curated OER

Using Fourier Series

For Students Higher Ed
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...
Lesson Plan
Curated OER

Minimum and Maximum of a Graph

For Teachers 9th - 11th
Students find the solutions of polynomials through graphing. In this algebra activity, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Worksheet
Curated OER

Factoring Completely

For Students 10th - 12th
In this factoring worksheet, students factor polynomial expressions to simplify them. Upon placing their answer in the appropriate box, students may receive immediate feedback. A link for step-by-step solutions is provided.
Worksheet
Curated OER

Introduction to Taylor Series

For Students Higher Ed
In this Taylor series worksheet, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page worksheet contains seven problems.
Worksheet
Curated OER

Cubic Approximation

For Students Higher Ed
For this calculus and analytic geometry worksheet, students problem solve and calculate the answers to five word problems involving the third degree Taylor polynomial function and the Maclaurin series computation.
Worksheet
Curated OER

Algebraic Fractions

For Students 9th
In this algebraic fractions activity, 9th graders solve 10 different problems that include various polynomial denominators. First, they factor the numerator and factor the denominator. Then, students divide out the common binomial factor...
Lesson Plan
Curated OER

Another Way of Factoring

For Teachers 8th - 10th Standards
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...
Unit Plan
Curated OER

Connecting Algebra and Geometry Through Coordinates

For Teachers 9th - 10th Standards
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Worksheet
HHS Math

Assignment 1.6: Solving Quadratic Equations

For Students 9th - 11th Standards
Practice solving different types of quadratic equations with these three worksheets. Problems include equations already factored, simple square root problems, and problems requiring different factoring techniques where the highest degree...
Lesson Plan
Curated OER

The Notorious Four-Color Problem

For Teachers 9th - 12th Standards
Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be...
Lesson Plan
EngageNY

Creating and Solving Quadratic Equations in One Variable

For Students 9th - 10th Standards
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
Interactive
CK-12 Foundation

Pascal's Triangle: Pyramid Blocks

For Students 9th - 12th Standards
Build a pyramid of sums. An interactive presents the first five rows of Pascal's Triangle as a pyramid. Pupils match missing entries in the pyramid and continue the pattern to determine entries of other rows. The learners use the entries...
AP Test Prep
College Board

1999 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...
AP Test Prep17:14
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Flipped Math

Calculus AB/BC - Integrating Functions Using Long Division and Completing the Square

For Students 10th - 12th
With just a little work, integrals can become much easier. The 11th of 16 installments in Unit 6 - Integration has viewers watch a video to learn different ways to rewrite an integrand before determining the integral. They use polynomial...
Lesson Plan
Curated OER

Quadratic Formula

For Teachers 9th - 12th Standards
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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