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Representing Quadratics
Students represent quadratic equations using different methods. In this algebra lesson, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
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Chapter 10 - Objective 1.1 - Square Roots
In this square root worksheet, students solve simple square roots and square roots containing exponents. Students use factoring and the distributive property under the square root prior to solving. This one-page worksheet contains ten...
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Quadratics Equations
In this algebra worksheet, students define the equations and discuss how many and what kinds of roots there will be. There are 6 questions dealing with roots, complex numbers and quadratics.
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Greatest Common Factors
In this algebra worksheet, students solve problems using the GCF. They factor out the common variables and simplify the equations. There are 8 questions with an answer key.
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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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Multiplying Binomials
In this binomials worksheet, students use FOIL to find the product of binomials. This two-page worksheet contains 18 problems. Answers are provided on the last page.
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Divisibility and Factors
In this divisibility and factors instructional activity, students use the rules of divisibility to identify factors of a number. This two-page instructional activity contains 26 problems. Answers are provided on the last page.
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Completing the Square
In this completing the square worksheet, learners determine the value of the unknown by completing the square. This two-page worksheet contains 18 problems. Answers are provided on the last page.
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Completing the Square
In this completing the square worksheet, students solve problems by completing the square. They determine the value of the unknown in the binomial. This two-page worksheet contains 30 problems. Answers are provided on the last page.
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Grade 5: Multiple Towers
Fifth graders use interlocking cubes to build towers to represent factors of numbers and place the towers in the appropriate places on a Tower chart in order to look for patterns. They work in partner groups, and finish by writing...
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Simplifying Rational Expressions
In this rational expressions worksheet, 9th graders identify and solve 20 different problems that include simplifying various types of rational expressions. First, they define and describe a rational expression and how to find its...
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FOIL method using the area model
In this FOIL method activity, students multiply binomials using the FOIL method and the area model. Students find the area of rectangles to investigate why the FOIL method works. Worked examples are provided.
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Adding & Subtracting Polynomials
In this adding and subtracting polynomials worksheet, students simplify each of ten problems using a vertical format for their work and response. They first group like terms together and add them. Students then remove the parentheses and...
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Integers
In this integers worksheet, students solve 10 different problems relating to integers. First, they use the roster method to write each set of even integers. Then, students use set builder notation to write the set of negative integers,...
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Multiplying Polynomials
In this multiplying polynomials worksheet, 9th graders solve 10 different equations that involve multiplying various polynomials. First, they determine how many polynomials are in each problem. Then, students distribute by taking each...
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Powers
In this powers worksheet, 9th graders solve 10 different equations that involve powers. They distribute when necessary and simplify each equation. Then, students add the powers in each to complete their answers.
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Simple Rational Expressions
In this algebra instructional activity, students solve rational expression by factoring. They simplify the expressions using the greatest common factor. There is one detailed example of how to simplify a rational expression.
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Solving Percents Problems
Students solve problems dealing with percents. In this algebra lesson, students convert between decimals and percents using factoring. They solve one step problems involving percents.
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Factors and Zeros
In this factors and zeros worksheet, students factor given problems. They write polynomial functions with integral coefficients. This four-page worksheet contains 20 problems. Answers are provided on the last page.
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Multiplying Polynomials - FOIL
Students participate in an activity to demonstrate the distributive property. They take notes as they observe different methods of FOIL. Afterward, students work on their own, and in groups to determine which method to use and complete...
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Chapter 7 - Objective 3.1 - Distributive Property
In this distributive property worksheet, students use the distributive property to solve given equations. This one-page worksheet contains eight problems.
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Common Factors and Common Multiples and Simple Exponents
Students explore factors and multiples. For this factors and multiples lesson, students learn the vocabulary words factor, common factor, multiple and common multiple. Students view examples of each and then complete activity sheets.
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Quadratic Equations
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
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Completing the Square Lesson Plan
Students investigate the origin of the quadratic function. In this algebra lesson, students analyze solving an equation by completing the square. They compare the early methods as compared to our method for solving quadratics.
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