Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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...
Curated OER
Graphing Polynomials of Higher Degree
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
Curated OER
Multiplying Polynomials
Students investigate polynomials. In this algebra lesson, students solve problems dealing with multiplication of polynomials by using the distributive property and the FOIL method. Students also describe how the use of Punnet squares in...
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
Curated OER
Algebra II Chapter 10 Test
In this algebra worksheet, students solve divisions problems using long division and synthetic division. There are 14 questions and an extra credit problem.
Curated OER
Zeros of Polynomials
High schoolers graph polynomials. In this Algebra II instructional activity, students investigate the graph of a polynomial to determine the value and the number of zeros. This instructional activity requires the use of a graphing...
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
EngageNY
The Special Role of Zero in Factoring
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
EngageNY
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.
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...
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
EngageNY
Mastering Factoring
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two cubes.
Curated OER
Algebra II Class Work - Topic: Polynomials
In this polynomials worksheet, students simplify 14 polynomials. There is not a lot of room after each equation for students to show the work for their answers.
EngageNY
Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Curated OER
Algebraic Expressions & Equations
In this algebraic expressions and equations worksheet, 9th graders solve 12 various types of problems ranging from writing expressions for each written equation to solving 8 different word problems related to cost, speed, age, and...
Curated OER
Polynomial Functions
In this Algebra II worksheet, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page worksheet provides explanation and examples along with thirteen practice problems....
Curated OER
Dividing Polynomials
In this Algebra II worksheet, 11th graders perform the indicated polynomial division. The one page worksheet contains two problems. Solutions are provided.
Curated OER
Polynomial Functions
Students explore polynomial functions. In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Students determine the regression equation for each...
Curated OER
Topic: Dividing Polynomials
In this polynomials activity, students use Synthetic division or long division to find the quotient of each polynomial. There are 10 problems to solve.
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 lesson plan introduces and thoroughly explains the Algebra II concept, and closes with a variety of example...
Curated OER
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.
Curated OER
Factoring: All Techniques Combined (Hard)
For this Algebra II worksheet, 11th graders combine all factoring techniques to factor polynomials completely. The two page worksheet contains eighteen problems. Answers are provided.