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Curated OER
Linear Systems: Diagonalizing a Matrix
For 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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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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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...
Curated OER
The Case of the Missing Middle Term
Young scholars examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
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Standard Form of Quadratic Functions
Students factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
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Linear Systems: Permutations and Transposes
In this permutations worksheet, learners identify a transpose matrix, and create a permutation matrix. This three-page worksheet contains six problems.
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Factoring Quadratic Expressions
In this Algebra II activity, 11th graders factor quadratic expressions. The two page activity contains explanation of topic, worked examples, and three practice problems. Answers are not included.
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Regents Exam Questions: Quadratics
In this quadratics learning exercise, students identify the roots of a quadratic equation. They use FOIL and the quadratic formula to solve quadratic equations. This seven-page learning exercise contains 32...
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Regents Exam Questions: Quadratic Formula 2
In this quadratic formula instructional activity, students use the quadratic formula to determine the roots of quadratic equations. This two-page instructional activity contains 5 multi-step problems. Answers are listed on...
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Functions and Fraction Combination
In this algebra worksheet, 11th graders factor polynomials and find the roots of the equations. They write the rules representing the equation and how to solve it. There are 9 questions.
CK-12 Foundation
Comparing Methods for Solving Quadratics: Comparing Methods to Solve a Quadratic
Determine the quickest process for solving quadratics. Pupils compare the number of steps in the process of solving quadratics using three different methods. Scholars determine which situations lend themselves to the different solving...
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The Quadratic Formula
In this quadratic formula instructional activity, students use the quadratic formula to solve given problems. Examples and explanations are given at the beginning of the instructional activity. This one-page instructional activity...
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Addition and Subtraction of Rational Expressions
In this rational expressions learning exercise, 9th graders solve and complete 15 different problems that include adding and subtracting rational expressions. First, they define Least Common Multiple to get a common denominator in an...
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Simplifying Rational Expressions
In this algebra worksheet, students simplify rational expressions using common denominators. There are 50 questions requiring factoring and grouping, with an answer key.
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
Curated OER
Expressions and Operations
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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Vertex and Factored Form of Quadratic Functions
Students graph quadratic equations. For this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
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Expressions and Operations
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...
Curated OER
Expressions and Operations
For this expressions and operations worksheet, 9th graders solve and complete 5 different multiple choice problems. First, they determine the complete factorization of various trinomials. Then, students find the equivalent equation to a...
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Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra instructional activity, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Curated OER
Unit II - Version 5.0 - Worksheet 1 - Time & Distance
In this time and distance worksheet, students read story problems and determine the distance between points. They factor polynomials and solve exponential equations. Students simplify equations through factoring. This seven-page...
Curated OER
Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse...