Math Solutions
Factor Game
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...
EngageNY
The Zero Product Property
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...
EngageNY
Equations Involving Factored Expressions
Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson plan on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients...
Curated OER
Factor Fun for Fifth Graders
Fifth graders explore common factors. For this factorization lesson, 5th graders discover the greatest common factor among two numbers in a game format. Students build on previous knowledge to determine the greatest common factor.
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...
Education Development Center
Area and Multiplication
Take some intellectual fun and apply it to the concept of multiplying expressions together. A guide models how to break two numbers into an area model to multiply together in pieces similar to FOILing. The rest of the puzzles consist of...
Illustrative Mathematics
Cari's Aquarium
The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume,...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
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...
Curated OER
Using Electronic Manipulatives in Multiplication
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...
Curated OER
Students Multiply Polynomials
Factor polynomial functions that have two and three terms. Using Algeblocks, your class will create models to show their understanding of these concepts.
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
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...
Curated OER
Mathematics Within: Algebraic Processes and Its Connections to Geometry
Fifth graders discover the connections between algebra and geometry. With a focus on arrays and factors, they are introduced to multiplication. They develop an array for multiples of 2 through 10 and identify the factors of each row....
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
Curated OER
Distributive Property
Students solve problems using distribution. In this algebra lesson plan, students factor equations using the distributive property. They graph their solution on a graph.
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...
Illustrative Mathematics
Grass Seedlings
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the worksheet, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are 3/4 as...
Virginia Department of Education
Factoring
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...
Curated OER
Factoring Trinomials
Students factor trinomials using specific steps. For this algebra lesson, students factor polynomials following the steps on a smart lesson. They review important vocabulary to help with solving the problems.
Curated OER
Using CAS and algebra tiles with Expanding and factoring trinomials
Ninth graders investigate multiplication of binomials and factoring of trinomials. In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
Curated OER
Microbe Multiplication Magic
Students discover how microbes multiply. In this infectious disease lesson, students calculate the growth of bacteria in various environments. Students determine the role that the environment plays in the spread of infectious disease.
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...