Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Students 9th - 12th Standards
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II instructional activity that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic...
Worksheet
Curated OER

Rational Root Theorem

For Students 9th - 10th
In this polynomial worksheet, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.
Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Worksheet
Curated OER

Irrational and Imaginary Root Theorems

For Students 9th - 11th
In this irrational and imaginary root theorem activity, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page activity contains 22...
Lesson Plan
Curated OER

Going Back to Your Roots

For Teachers 9th - Higher Ed Standards
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.
Worksheet
Curated OER

The Rational Root Theorem

For Students 11th
In this algebra worksheet, 11th graders find the rational roots of an equation, by setting it to zero and solving for x. They can also use synthetic division and p/q to help find and eliminate rational root values. There are 19 problems...
Worksheet
Curated OER

Roots of Polynomial Functions

For Students 10th - 12th
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
Worksheet
Curated OER

Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials

For Students 10th - 12th
For this synthetic substitution worksheet, students evaluate three different function at specified points.  Students also determine if given factors are factors of four specific polynomials.  Additionally students use the...
Worksheet
Curated OER

Rational Zero Theorem

For Students 11th
In this rational zero theorem worksheet, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...
Worksheet
Curated OER

Fundamental Theorem of Algebra

For Students 8th - 10th Standards
In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations. 
Lesson Plan
Curated OER

Worksheet 8, Exponents

For Teachers 11th - 12th
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
Assessment
Inside Mathematics

Rugs

For Teachers 8th Standards
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Assessment
Mt. San Antonio Collage

Quiz 2: Polynomials

For Students 9th - 12th Standards
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given...
Worksheet
Curated OER

Theorems About Roots and Polynomial Equations

For Students 8th - 11th
For this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
Lesson Plan
Curated OER

Worksheet 1

For Teachers Higher Ed
For this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
Worksheet
Curated OER

Two-Step Linear Equations

For Students 7th
For this two-step linear equations worksheet, 7th graders solve 15 various problems that include linear equations with more than one-step. First, they need to get the variable, x, alone by subtracting/adding the whole number on the same...
Worksheet
Mt. San Antonio Collage

Elementary Geometry

For Students 9th - 12th Standards
Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and...
Worksheet
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Curated OER

Practice: Word Problems

For Students 5th - 7th Standards
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...