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Worksheet
Curated OER

Factorize Using Formula

For Students 9th - 11th
In this algebra worksheet, students factor equations using the difference of squares formula. They solve quadratics by factoring. There are 6 questions with an answer key.
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Worksheet
Curated OER

L.C.M. of Polynomials

For Students 9th - 11th
In this algebra worksheet, students solve polynomials by finding the LCM and factoring out what they have in common to simplify the equation. There are 6 questions with an answer key.
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Lesson Plan
Curated OER

Reciprocals

For Teachers 9th - 10th
Students factor rational expressions using their reciprocals. In this algebra lesson, students simplify rational equations by factoring the fraction vy its reciprocal. They use the distributive property and solve combining like terms.
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Lesson Plan
Curated OER

Introducing the Concept Prime Factors

For Teachers 5th
Fifth graders identify the prime factorization for 48 using different sets of factors. They find the prime factorization for 60.
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Worksheet
Curated OER

Expressions and Operations

For Students 9th
In this expressions and operations worksheet, 9th graders solve and complete 10 different multiple choice problems. First, they determine the complete factorization of various equations. Then, students determine the length and width of a...
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Worksheet
Curated OER

Least Common Multiple

For Students 4th - 5th
In this least common multiple worksheet, students review the steps for finding the least common multiple using lists of multiples and prime factorization. Students then list multiples to find the LCM for the given numbers. Students then...
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Lesson Plan
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Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
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Worksheet
Curated OER

Factors and Greatest Common Factor

For Students 9th
In this factors and greatest common factor worksheet, 9th graders solve and complete 14 different problems. First, they state whether each number is prime or composite. Then, students find the prime factorization. In addition, they...
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Worksheet
Curated OER

Greatest Common Factor: Reteach

For Students 5th - 6th
In this greatest common factor worksheet, students review the different ways to find the greatest common factor for numbers including listing all the factors and finding prime factorization with factor trees. Students then list the...
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Worksheet
Curated OER

Expressions and Operations

For Students 9th
In this expressions and operations worksheet, 9th graders solve and complete 10 different multiple choice problems that include various types of expressions. First, they determine the complete factorization of a given trinomial. Then,...
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Worksheet
Curated OER

Expressions and Operations

For Students 9th
In this expressions and operations learning exercise, 9th graders solve and complete 5 different multiple choice problems. First, they determine the complete factorization of various trinomials. Then, students find the equivalent...
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Worksheet
Curated OER

Linear Systems: Diagonalizing a Matrix

For Students Higher Ed
In this diagonalizing a matrix worksheet, students explore matrix factorization and use diagonal decomposition. This two-page worksheet contains examples, explanations and four practice problems.
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Lesson Plan
Curated OER

Solving Algebraic Expressions

For Teachers 7th - 8th
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
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Worksheet
Curated OER

Greatest Common Factor: Practice

For Students 5th - 6th
In this greatest common factor learning exercise, students list the factors for each number and find the greatest common factor of the numbers. Students then write the prime factorization using exponents of each number and find the...
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Worksheet
Curated OER

Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math learning exercise, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
In this math activity, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Lesson Plan
Curated OER

Prime and Composite Numbers

For Teachers 5th
Fifth graders use prime factorization to identify prime and composite numbers. They use cubes to find factors. In groups, 5th graders draw rectangular arrays to discover prime numbers under 100.
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Worksheet
Curated OER

Least Common Multiple Practice

For Students 4th - 6th
In this least common multiples worksheet, students write multiples, write prime factorization, find LCM's and answer two test prep questions. The worksheet references a Houghton Mifflin text.
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Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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Lesson Plan
Virginia Department of Education

Rational Expressions

For Students 9th - 12th Standards
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
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Worksheet
Curated OER

Linear Systems Class Overview

For Students 11th - Higher Ed
In this math worksheet, learners find the solutions to the problems using the linear systems of equations. The sheet is a list of review topics.
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Lesson Plan
Curated OER

Algebra I: Multiplying Polynomials and Factoring

For Teachers 8th - 12th
Young scholars 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...
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Lesson Plan
Curated OER

Completing the Square Algebraically

For Teachers 9th - 12th Standards
Using TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form.  By the end of this lesson plan, they should be able to change any quadratic equation into vertex form. 
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Lesson Plan
Curated OER

Volumes of Rectangular Prisms

For Teachers 9th - 12th Standards
High schoolers determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths.  Finally, they factor the volume equation to determine the side lengths.

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