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Complex Numbers
In this complex numbers worksheet, 9th graders solve 10 different problems that include either adding or subtracting complex numbers. First, they determine the sum of the real components. Then, students determine the sum of the imaginary...
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Algebraic Fractions
In this algebraic fractions worksheet, 9th graders solve 10 different problems that include adding and subtracting various algebraic fractions. First, they determine the common denominator in each pair of fractions. Then, students...
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Exponents and Factoring
In this exponents and factoring worksheet, 9th graders solve and complete 32 different problems that include simplifying a number of equations. First, they write each expression with only one exponent. Then, students simplify to a number...
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Expressions and Operations
In this expressions and operations worksheet, 9th graders solve and complete 16 different problems that include various expressions and operations. First, they simplify each given equation. Then, students match that answer to the correct...
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Equations Self-Test
In this equations activity, students answer 6 multiple choice questions. Students then solve 14 equations and must show all of their work.
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Like Terms
Students examine various algebraic terms. They simulate the addition of like terms and adding and subtracting coefficients by acting out the variables.
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Word Problems
In this algebra worksheet, 9th graders are asked to rewrite word problems using algebraic equations in one variable. There are other links on this page.
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Logarithms and Exponential Equations
In this logarithms worksheet, students solve for the variable given showing all steps of their calculations. Students solve for the variable using the operation of taking log and the property of logs.
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Number and Algebra: Again and Again
Students use a given spreadsheet to investigate an iterative process by changing the variables. They design their own spreadsheet to investigate the iterative process.
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Derivatives of Exponential Functions
Young scholars take derivatives of exponential functions. In this taking derivatives of exponential functions lesson, students prove the derivative of an exponential function is the exponential function. Young scholars find derivatives...
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Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
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Drag Equation - Level 1
Students, after reading the Drag Equation page from the NASA Web site, demonstrate an understanding of this equation and how drag is dependent on the variables included in the equation.
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Drag Equation - Level 2
Students, after reading the Drag Equation page from the NASA Web-based textbook, demonstrate an understanding of this equation and how drag is dependent on the variables included in the equation.
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Surveying New Territory
Students explore recent research linking economic status with student behavior. They design their own studies that investigate how different variables are related to student performance in particular subject areas.
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Solving Multi-Step Inequalities
In this math worksheet, young scholars solve inequalities. Four problems involve negative values for the variables. Inequalities involve two or more steps to solve. The final two problems are word problems.
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Parallel Lines and Triangles
In this triangles activity, students solve 1 problem of multiple variables within a single picture of various triangles intersecting with a pair of parallel lines.
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Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
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10-4 Practice: Factoring Differences of Squares
In this practice worksheet, students factor the differences of squares and identify prime expressions. Polynomials contain one or more variables, with exponents. Students complete 42 problems. An answer key is provided.
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9-2 Practice: Dividing by Monomials
For this division worksheet, students divide by monomials containing positive and negative coefficients, exponents, and one to two variables. Students simplify each of the 27 given monomials. An answer key is provided.
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Percents and Mixture Problems
In this percents and mixture problems worksheet, students solve 18 different problems that include mixture problems. First, they determine the sum of a number, times its reciprocal. Then, students determine the sum of a number minus its...
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Find the Products
In this algebra instructional activity, 10th graders find the products of 4 problems that include a variable and work with square roots. They find an expression for the area of each of 3 geometric shapes.
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Linear Equations a/x = c (D)
In this linear equations worksheet, students solve 20 one step linear equations. Students solve each linear equation by multiplying to isolate the variable.
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Literal Equations
In this Algebra II instructional activity, 11th graders solve literal equation for a specific variable. The one page instructional activity contains instruction, worked examples, and nine practice problems. Answers are not included.
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Projectile Motion Lab
In this physics worksheet, learners model the position, velocity and acceleration using mathematical formulas and a computer program. Then they interpret the parameters in each of the models. Students also complete the experiment and...
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