Center for Mathematics and Technology
Whole Numbers: Using an Area Model to Explain Multiplication
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
Education Development Center
Area Model Factoring
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...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
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...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Curated OER
Factoring Trinomials
Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
Curated OER
Perfect Squares and Factoring
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
Curated OER
Factoring Trinomials
Students factor trinomials. For this algebra lesson, students identify the different integers making up the trinomial and use the special pattern to factor them. They continue to model the equations and how to factor correctly.
EngageNY
Solving Basic One-Variable Quadratic Equations
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...
EngageNY
Writing Products as Sums and Sums as Products
Create rectangle and area models to help students understand expressions. The third installment in the 28-part series has pupils first represent expressions using rectangular array models. The exercises help scholars understand the...
Alabama Learning Exchange
Finding Prime
Fifth and sixth graders explore prime numbers. They work with a partner to build rectangular arrays using twelve tiles. Factor pairs are noted and recorded on graph paper. Pupils construct rectangular arrays with a prime number and...
Pennsylvania Department of Education
Multiplication Using Arrays
Explore the concept of multiplication by using arrays. Classmates use arrays to gain a better understanding of multiplication. They break arrays apart to model the distributive property of multiplication over addition. The relationship...
Curated OER
Factoring Trinomials
Students factor trinomials using algebra tiles and blocks. In this algebra lesson, students complete a trinomials station activity. They work backwords to find their answers and discuss their steps in a group.
Curated OER
Exploring Solving Equations
Put out by Texas Instruments, this lesson involves learners in an activity focused on adding polynomials, solving equations, factoring trinomials, and expanding binomials. A TI-89 calculator is needed to complete this lesson.
Curated OER
The Difference of 2 Squares
Learners factor a difference of two squares. In this factoring a difference of two squares lesson, students use manipulates cut from a piece of paper to illustrate the difference of two squares. Learners illustrate the...
Willow Tree
Multiplying Polynomials
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials.
Curated OER
Multiplying and Dividing Fractions and Mixed Numbers
Help math learners discover how to multiply fractions and mixed numbers. They will explore visual examples of the operations. They also practice solving problems that their instructor models.
Curated OER
Prime and Composite Numbers, Prime Factorization
Pupils research prime and composite numbers. With a partner, students use graph paper to draw rectangles of various sizes. They list the dimensions of rectangles and discuss how the dimensions relate to the factors of each number. Pupils...
Curated OER
Algebra I: Multiplying Polynomials and Factoring
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
Curated OER
Factoring Trinomials
Students factor trinomials and other quadratic functions. In this algebra instructional activity, students solve trinomials containing negative and positive coefficients. They factor quadratics of difference squares as well as regular...
Curated OER
Prime and Composite Numbers with use of manipulatives (Elementary, Mathematics)
Pupils learn what prime and composite numbers are. They learn how to identify them by working in a group and demonstrating an understanding of one work problem with 100% accuracy using the manipulatives provided.
Curated OER
the Max And Min of a Capt'n Crunch Box
Students use knowledge of area and volume to explore minimum and maximum. They create models and determine a "best" shape for getting the maximum volume or minimum area.