Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Curated OER
Factoring #1
This is a 10 question learning exercise that could be used as a quick introduction, review, or quiz on finding the greatest monomial factors of binomials. The 10 problems are listed twice on the learning exercise.
Curated OER
Prime Factorization
Young scholars work with prime numbers. In this prime factorization lesson, students review writing numbers in their prime factorization form and solve multiple problems.
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Factoring Trinomials
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
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College Prep Algebra, Factoring Trinomials
In this algebra worksheet, students factor trinomials into the multiplication of two binomials. All trinomials are in the form 1x^2 +/- bx +/- c.
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Factoring a Trinomial
In this algebra worksheet, students factor twenty trinomials into the appropriate binomial pair. Students may self-correct their work by selecting the link at the bottom of the page.
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Factoring ax2 ± bx + c
In this Algebra I worksheet, 9th graders factor polynomials of the form ax2 ± bx + c. The one page worksheet contains forty-six problems. Solutions are not provided.
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Factoring Trinomials
Learners factor trinomials and quadratics. In this algebra lesson plan, students solve quadratics when the leading coefficient is one. They use a special factoring pattern to solve the trinomial.
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Twenty-Two Solving Quadratic Equations by Factoring
In this quadratic equations learning exercise, learners solve twenty-two quadratic equations by factoring. The solutions are provided.
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Practice Using Factoring Formulas
In this factoring worksheet, students practice factoring using formulas. Explanations are available for each equations. This two-page worksheet contains 14 problems.
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Leveled Problem Solving: Prime Factorization
In this prime factorization worksheet, learners solve a set of 6 problems related to prime factorization, including determining whether numbers are prime or composite and determining factors.
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Factoring Differences of Squares
In this factoring worksheet, 9th graders solve and complete 27 different problems that include factoring the differences of squares. First, they state whether each binomial can be factored as a difference of squares. Then, students...
Curated OER
Factoring
Students factor quadratic equations into two binomials multiplied by each other. In this quadratic equations lesson plan, students complete math problems in and out of class.
Curated OER
Twenty-Five Factoring to Solve Quadratic Equations in Preparation for the Math Regents Exam
In this factoring to solve quadratic equations worksheet, students solve twenty-five multiple choice and free response questions in preparation for the math regents exam. The solutions are provided.
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Connecting Factors and Zeros
In this Algebra II lesson, students explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.
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Quadratic Equations
In this algebra worksheet, students solve quadratic functions through factoring and graphing. They solve for the area of a rectangular area. There are 20 questions.
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Converting among Units
In this conversion worksheet, student use the factor-label method or unit analysis method to convert given measurements from one unit to another unit.
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Factor Fun for Fifth Graders
Fifth graders explore common factors. In 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.
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Solving Quadratic Equations
In this quadratic equations worksheet, 9th graders solve and complete 7 different problems that include factoring quadratics. First, they solve for the values of x that make the equation true. Then, students substitute their values into...
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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...
Math Mammoth
GCF and Simplifying Fractions
For this math worksheet, students find the greatest common factor of 18 pairs of numbers. Given the prime factorization of pairs of numbers students find the greatest common factor. Students simplify fractions and rational expressions.
Curated OER
Make Up Test on Solving Quadratics
In this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...
Curated OER
Finding Factors
In this finding factors activity, students practice finding all the factors of 24 in twenty word equations and then find the prime factorization in ten equations.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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