Lesson Plan
EngageNY

Comparing Methods—Long Division, Again?

For Students 10th - 12th Standards
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
Lesson Plan
EngageNY

The Division of Polynomials

For Students 10th - 12th Standards
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
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.
Lesson Plan
Curated OER

Students Multiply Polynomials

For Teachers 9th - 11th
Factor polynomial functions that have two and three terms. Using Algeblocks, your class will create models to show their understanding of these concepts.
Lesson Plan
Curated OER

What are Signed Numbers? (Polynomials)

For Teachers 7th - 10th
Students define polynomial functions. In this algebra lesson, students add, subtract, multiply and divide polynomials using properties of polynomial functions.
Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 
Lesson Plan
1
1
EngageNY

Putting It All Together

For Students 10th - 12th Standards
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...
Lesson Plan
EngageNY

Mental Math

For Students 10th - 12th Standards
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math. 
Unit Plan
Mathematics Vision Project

Module 3: Numbers and Operations

For Students 10th - 12th Standards
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...
Lesson Plan
Curated OER

The Remainder Theorem Using TI-Nspire CAS

For Teachers 9th - 12th Standards
Investigate the Remainder Theorem in this algebra lesson plan. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
Lesson Plan
1
1
EngageNY

The Remainder Theorem

For Students 10th - 12th Standards
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
Lesson Plan
EngageNY

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Lesson Plan
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Lesson Plan
Curated OER

Polynomial Divisions

For Teachers 8th - 10th
Learners factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
Lesson Plan
Curated OER

Rational Expressions: Simplifying

For Teachers 8th - 10th
This two-day lesson will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The lesson contains powerpoint presentations, worksheets, and answer key.
Lesson Plan
Curated OER

Solving Algebraic Expressions

For Teachers 7th - 8th
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
Lesson Plan
Curated OER

Using Electronic Manipulatives in Multiplication

For Teachers 9th - 11th
Factor polynomials using electronic manipulatives. Your class will create a spreadsheet in excel and use it to multiply and perform basic operations and solve problems correctly. They create a visual to go along with each multiplication...
Lesson Plan
Curated OER

Interesting Properties of Cubic Functions to Discover Graphically or Numerically

For Teachers 9th - 12th Standards
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. ...
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Young scholars convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Lesson Plan
Curated OER

Rational Expressions

For Teachers 9th - 11th
Students simplify rational expressions. In this algebra lesson, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
Lesson Plan
1
1
EngageNY

Equivalent Rational Expressions

For Students 10th - 12th Standards
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
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...