Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day instructional activity, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational...
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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...
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Completing the Square Algebraically
Using TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form. By the end of this instructional activity, they should be able to change any quadratic equation into...
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Explore Graphs and Factors
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
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Divisibility Rules Using Scientific Calculators
Young learners apply divisibility rules to determine if a number is a factor of another number. They discuss what numbers are factors of another number and identify patterns using divisibility rules.
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Prime Time
Fifth graders complete activities related to prime and composite numbers. In this prime lesson, 5th graders make a hundreds chart with all the prime numbers. They create their own card game which deals with prime and composite...
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Building Venn Diagrams
Students use Venn diagrams to solve prime number and factorization problems. In this multiplication lesson, students watch a video and use a Venn Diagram to help them solve a pizza math activity that uses prime factorization. Students...
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Solving Equations - Week 14 (Systems of Equations)
In this system of equations worksheet, students use factoring and simultaneous equations to solve systems of equations. This three-page worksheet contains eight problems.
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Division of Monomials
Young scholars relate the division of monomials to multiplication. In this division of monomials lesson, students divide monomials by factoring and dividing common factors from the originals. They check their answers by multiplication....
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Sums and Difference of Cubes
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
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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.
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Construction Square Fun
Students identify numbers as prime or composite and complete prime factorization of composite numbers.
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Prime Time
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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Prime and Composite Numbers
Fifth graders investigate the concepts of composite and prime numbers. They factor different numbers and determine the number of factors for each. Based upon this information the number is declared prime or composite.
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What Are You - Prime or Composite
Students explore the concept of prime factorization. In this prime factorization lesson, students participate in an activity where they find the prime factorization and greatest common factor of a number derived from their name. Students...
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Introductory Algebra Chapter R Review
In this math worksheet, students solve the problems and simplify the fractions. Each of the sets is related to the instructional objectives.
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Greatest Common Factor: Using the Factor Tree
Students find the greatest common factor of two numbers. For this algebra lesson, students use prime factorization to find their factor to simplify equations. they create a factor tree to find the factors of composite numbers.
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Prime Factors
Fifth graders review the concept of prime factorization. Then, they use the rules for divisibility and other notions to find the prime factorization of unfamiliar numbers. They solve problems in a whole class setting.
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Vertex and Factored Form of Quadratic Functions
Students graph quadratic equations. In this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
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Teach Your Friends Polynomials
Students investigate polynomials. In this ninth or tenth grade mathetmatics lesson, students teach their peers the steps to adding, subtracting, multiplying, dividing, and factoring polynomials. Students create a PowerPoint...
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Rational Equations
In this rational equations worksheet, 9th graders solve and complete 19 different types of problems. First, they solve each given equation by factoring. Then, students state the domain and solve. They also illustrate any discarded...
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Solving Percents Problems
Students solve problems dealing with percents. For this algebra lesson, students convert between decimals and percents using factoring. They solve one step problems involving percents.
Texas Instruments
Exploring Quadratics in Factored Form
Young mathematicians explore quadratics equations in this lesson. They investigate the relationship between the standard form and factored form of quadratic equations. Learners then examine the relationship between the factoring form of...