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EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
Mathed Up!
Expand and Factorise
Expand and contract algebra. Using a video from a larger review series, pupils refresh their skills to factor algebraic expressions. They also use the distributive property to expand expressions on the learning exercise. Problems range...
Mathematics Assessment Project
Arithmetic with Polynomials and Rational Expressions
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...
CK-12 Foundation
Pascal's Triangle: Pyramid Blocks
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...
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
Virginia Department of Education
Exponents
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
PHET
Area Model Algebra
Expand the pupils knowledge of using area models to algebra. The interactive allows learners to use the same procedure of getting partial products when multiplying multi-digit numbers to multiplying polynomials. Scholars see how the...
Curated OER
Using Algebra Tiles to Explore Distributive Property
Math is fun with algebra tiles! Young mathematicians explore eight expressions involving the distributive property and use algebra tiles to expand simple expressions. The resource is perfect for both guided and independent practice.
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
West Contra Costa Unified School District
Fractional Exponents
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The instructional activity introduces and thoroughly explains the Algebra...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Math Is Fun
Math Is Fun: Mathopolis: Expanding Quiz
Practice simplifying polynomials in this self-checking assessment.
Khan Academy
Khan Academy: Polynomials: Expand Binomials
Use the Binomial Theorem to expand integer powers of binomial expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Oswego City School District
Regents Exam Prep Center: Division of Polynomials
This website provides information for both students learning about polynomials and for teachers planning lessons. Students, check out steps for dividing polynomials in the lesson provided and test your understanding in the "Practice...
University of Saskatchewan (Canada)
University of Saskatchewan: Algebra 1 Review
A more advanced review of algebra concepts and practice review problems ranging from the basic rules of algebra to polynomials. A good test of readiness for higher level math courses.
National Council of Teachers of Mathematics
The Math Forum: Exploring Pascal's Triangle
Every grade level can learn from Pascal's Triangle, and this site helps make it possible. There are explanations, examples, exercises and printable worksheets available.
CK-12 Foundation
Ck 12: Algebra Ii: 1.9 Sum and Difference of Cubes
This section expands on the process of factoring to certain types of polynomials. In particular, it investigates how to find the sum and difference of cubed numbers and terms, and it will use volume of cubes to model this process.
National Council of Teachers of Mathematics
Nctm: Illuminations: Algebra Tiles
This resource is about factoring linear and quadratic expressions in one variable, evaluating them at a given value of the variable, multiplying factors to find the expanded form of the expression, and solving linear and quadratic...
Wyzant
Wyzant: Factoring Calculator
The calculator factors expressions by expanding and combining like terms, dividing a greatest common factor, and identifying between two squares or factorable trinomials. An example expression and quick-start guide are included.