Lesson Plan
EngageNY

The Zero Product Property

For Students 9th - 10th Standards
Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...
Lesson Plan
EngageNY

Matrix Arithmetic in Its Own Right

For Teachers 11th - 12th Standards
Matrix multiplication can seem random to pupils. Here's a instructional activity that uses a real-life example situation to reinforce the purpose of matrix multiplication. Learners discover how to multiply matrices and relate the process...
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
EngageNY

Multiplying and Factoring Polynomial Expressions (part 1)

For Students 9th - 10th Standards
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...
Lesson Plan
Math Solutions

Factor Game

For Teachers 4th - 6th Standards
Learning about factors and multiples is all fun and games with this simple math activity. The lesson begins with the teacher and class playing the Factor Game together as students figure out the rules and uncover key...
Lesson Plan
1
1
EngageNY

The Special Role of Zero in Factoring

For Students 10th - 12th Standards
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...
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
Education Development Center

Area Model Factoring

For Teachers 6th - 9th Standards
 Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...
Lesson Plan
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EngageNY

Solving Basic One-Variable Quadratic Equations

For Students 9th - 10th Standards
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

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

Multiplying and Factoring Polynomial Expressions (part 2)

For Students 9th - 10th Standards
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Unit Plan
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Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
Lesson Plan
1
1
Curated OER

Interpreting Algebraic Expressions

For Teachers 9th - 12th Standards
Interpreting algebraic expressions is a fundamental skill in beginning algebra. This lesson approaches the task in numerous ways. First, learners assess their understanding with a short worksheet on converting between words and...
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.
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...
Activity
Illustrative Mathematics

Seeing is Believing

For Teachers 5th Standards
How many visual models can be used to show multiplication? Three basic kinds of models can be used to represent and explain the equation 4 x (9 + 2).  The commentary section provides description and graphics to explain the set...
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Lesson Plan
EngageNY

Coordinates of Points in Space

For Teachers 11th - 12th Standards
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...
Lesson Plan
Illustrative Mathematics

Using Function Notation I

For Teachers 8th - 12th Standards
Show learners that function notation and multiplication notation are not the same. In the example, Katie is given a function, C(x), which is the cost of producing x amount of DVDs. Ask learners if Katie can divide the function notation,...
Lesson Plan
Primary Junction

Adding Tens

For Teachers 1st - 4th Standards
Build on your learners' confidence in quick addition as they discover strategies to add tens to two-digit numbers. After reviewing counting by 10's, they discuss tactics to add multiples of 10 to other numbers. They visualize how to...
Lesson Plan
Virginia Department of Education

Factoring

For Students 9th - 12th Standards
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson begins with quadratics and shows how to use the same patterns to...
Lesson Plan
1
1
EngageNY

Equations Involving a Variable Expression in the Denominator

For Students 9th - 10th Standards
0/0 doesn't equal 0! Begin this lesson by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
Lesson Plan
EngageNY

Vectors and Translation Maps

For Teachers 11th - 12th Standards
Discover the connection between vectors and translations. Through the instructional activity, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then...
Lesson Plan
Curated OER

Basic Mathematical Operations Using Math Tiles

For Teachers 1st - 4th
Practice addition, subtraction, multiplication, and division using tiles as manipulatives. In this math operations lesson, young learners choose the appropriate sized tiles, arrange them according to directions given by the teacher, and...

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