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Willow Tree

Factoring Polynomials

For Students 8th - 11th Standards
Young mathematicians discover trees organize more than just families — they help factor, too. The instructional activity begins with factor trees and develops slowly to factoring by grouping and special patterns. 
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Lesson Plan
Curated OER

Factor Trees

For Teachers 4th - 7th
In this factor trees worksheet, students make factor trees for 2 through 4 digit numbers. Students complete 20 factor trees for these numbers.
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Lesson Plan
Curated OER

Prime Factorization

For Teachers 6th
Sixth graders participate in a lesson that focuses on the concept of finding the prime factorization of a number. They write the answer using exponential notation. Students play a game of Bingo to keep engaged during the lesson.
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Lesson Plan
Curated OER

Prime and Composite Numbers, Prime Factorization

For Teachers 6th - 8th
Students 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....
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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...
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Lesson Plan
EngageNY

Overcoming Obstacles in Factoring

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

Factoring Expressions

For Teachers 6th Standards
Factor in an informative resource when teaching about factoring. The 11th lesson in a 36-part module shows pupils how to factor algebraic expressions by applying the distributive property. Some of the problems involve expressions with...
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Lesson Plan
Alabama Learning Exchange

Finding Prime

For Teachers 5th - 7th Standards
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...
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Lesson Plan
Curated OER

Prime and Composite Number Mini Lab

For Teachers 3rd - 5th
Elementary schoolers determine the attributes of prime and composite numbers. Pupils, working in pairs, participate in an activity in which they use manipulatives to show the rectangles that can be made from square tiles. They practice...
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Lesson Plan
Curated OER

Multiplying and Dividing Fractions and Mixed Numbers

For Teachers 5th - 6th
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.
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Lesson Plan
Curated OER

Factoring Expressions

For Teachers 9th - 12th
In this factoring worksheet, learners factor guided monomials, then binomials, and work their way to trinomials. There are 8 questions with multiple parts.
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Lesson Plan
Curated OER

Applying Prime Factorization

For Teachers 6th
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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Lesson Plan
Curated OER

Prime Factorization

For Teachers 4th - 5th
In this math worksheet, students find the solutions to the whole numbers through finding the prime factorization. This could be done using number trees.
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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...
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Lesson Plan
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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...
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Lesson Plan
Curated OER

Smart Cookie Factors

For Teachers 4th - 5th
Learners examine the concept of finding the greatest common factor. They complete number of activities as they practice identifying prime and composite numbers. Pupils apply rules of divisibility and find the greatest common factor while...
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Lesson Plan
West Contra Costa Unified School District

Multiplying Binomials and Factoring Trinomials

For Teachers 8th - 10th
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.
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Lesson Plan
Curated OER

Transition to algebra

For Teachers 9th - 10th
Young scholars recognize the difference between a prime and a composite number.  In this prime and composite number lesson, students  use a factor tree model to show prime factorization. Young scholars participate in a bingo activity....
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Lesson Plan
Ohio Department of Education

The Solution is Complex

For Teachers 9th - 12th Standards
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....
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Lesson Plan
Curated OER

Construction Square Fun

For Teachers 6th - 8th
Students identify numbers as prime or composite and complete prime factorization of composite numbers.
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Lesson Plan
Curated OER

Prime Time

For Teachers 7th
Seventh graders practice determining the prime factorization of composite numbers. They create Christmas factor trees for prime numbers greater than 100. They decorate their final products with markers, crayons, colored pencils, glitter...
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Lesson Plan
Curated OER

What Are You - Prime or Composite

For Teachers 8th - 10th
Students explore the concept of prime factorization. In this prime factorization activity, students participate in an activity where they find the prime factorization and greatest common factor of a number derived from their name....
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Lesson Plan
Curated OER

Multiplying Binomials - FOIL I

For Teachers 9th - 10th
In this multiplying binomials worksheet, students use the FOIL method to solve given binomial equations. The product of each equation is listed contains squared exponents. Students complete 32 binomial equations.
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Lesson Plan
Curated OER

Greatest Common Factor

For Teachers 10th - 12th
In this greatest common factor worksheet, students find the GCF of given terms. This one-page worksheet contains 16 problems, with answers.

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