West Contra Costa Unified School District
Multiplying Binomials and Factoring Trinomials
Two lessons for the price of one! Learners use algebra tiles to multiply binomials in the first lesson, Next, they use their knowledge from the first lesson to factor trinomials into two binomials.
Curated OER
Equations, Expressions, Factorization
Students graph and solve equations and expressions. In this algebra lesson plan, students use simple factorization to simplify expressions. They review for an exam by doing basic algebra.
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Find the Factors and Prime Factors
Show the class how to find the factors of numbers. They use a variety of strategies, including unifix cubes, to find the factors of a whole number. This resource includes clear procedure to follow. Included are an anticipatory set,...
EngageNY
Mastering Factoring
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two...
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
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!
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
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Transition to algebra
Students recognize the difference between a prime and a composite number. In this prime and composite number instructional activity, students use a factor tree model to show prime factorization. Students participate in a...
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Prime & Composite Numbers: Algebra/Geometry Institute 2009
Learners create factor trees. In this prime and composite lesson, students model fractions using tiles. They create factor trees and identify prime and composite numbers. Learners use grid paper and tiles to model...
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.
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
EngageNY
Factoring Expressions
Factor in an informative resource when teaching about factoring. The 11th activity in a 36-part module shows pupils how to factor algebraic expressions by applying the distributive property. Some of the problems involve expressions with...
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...
Curated OER
Factoring Expressions
In this factoring worksheet, high schoolers factor guided monomials, then binomials, and work their way to trinomials. There are 8 questions with multiple parts.
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...
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...
Curated OER
Applying Prime Factorization
Sixth graders use the prime factorization of numbers to find the greatest common factor and least common multiple. Working in small groups, they solve problems using the greatest common factor and least common multiple.
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College Prep Algebra Arithmetic Review
For this algebra worksheet, young scholars complete 30 computation problems involving fractions, decimals and (or) exponents. They change 4 fractions to decimals and factor 6 whole number to primes.
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
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Worksheet Chapter 1, 1.2-1.8 College Prep Algebra
In this algebra worksheet, students complete a variety of basic algebra problems. They compare integers, identify sets of numbers, simplify equations, translate words into numerical expressions, and identify properties. This worksheet...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 2)
What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Curated OER
Polynomials Functions
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
Curated OER
Super Factors
Students complete activity pages. In this factors instructional activity, students practice finding the factors of numbers. They discuss prime factors and prime factorization and learn how to complete a factor tree.
EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...