Worksheet
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Linear Systems: Least Squares Approximations

For Students Higher Ed
In this least squares approximation worksheet, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find the...
Lesson Plan
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Equations and Averages, Permutations - Week 7

For Teachers 12th - Higher Ed
In this average and permutation worksheet, young scholars read story problems and write equations to determine annual income, the sum of a sequence, averages, and permutation problems. This two-page worksheet contains eight problems.
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Reasoning with Rules

For Students 8th - 9th
In this reasoning with rules worksheet, learners solve and complete 12 different problems that include applying various rules to solve the equations given. First, they assume all segments are straight and state the rule used to solve...
Worksheet
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Linear Systems: Least Squares Approximations

For Students 11th - Higher Ed
In this least squares approximation instructional activity, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This...
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Linear Systems: Identifying Pivots and Multipliers

For Students Higher Ed
In this pivot learning exercise, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page learning exercise contains examples, explanations, and...
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Linear Systems: Reduced Row Echelon Matrix

For Students 12th - Higher Ed
In this echelon matrix learning exercise, students find the nullspace of matrices by finding the reduced row echelon. This two-page learning exercise contains explanations, examples and six problems to complete.
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Polynomials

For Students 8th - 12th
In this exponents worksheet, students find the number or equation with variables that involve exponents. Students complete 25 questions.
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Relations and Functions

For Students 9th
In this relations and functions instructional activity, 9th graders solve and complete 15 different problems that include completing a quotable puzzle. First, they solve each equation by determining the missing value. Then, students...
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Applications of Polynomial Expressions

For Students 9th - 11th
in this polynomial expressions instructional activity, students solve polynomials through factorization or the FOIL method. They read sentences and translate them into a polynomial. This two-page instructional activity contains 48...
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Rational Inequalities

For Students 9th
In this rational inequalities worksheet, 9th graders solve 10 different equations that contain rational inequalities in each. First, they find the zeros from the numerator and the undefined points from the denominator. Then, students use...
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Adding & Subtracting Polynomials #4

For Students 8th
In this adding and subtracting polynomials worksheet, 8th graders solve and simplify ten problems with variables, exponents, addition and subtraction.
Lesson Plan
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Algebra I - Test

For Teachers 7th - 8th
Learners participate in a lesson that reviews the concept of linear functions in connection with preparation for an exam. The teacher reviews problems with the students for scaffolding. Learners practice graphing linear functions.
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Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
For this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.
Lesson Plan
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Teaching Radicals in Less Than Five Minutes

For Teachers 9th - 12th
Students simplify complex radicals following a specific technique. In this math lesson, students simulate the process using several decks of cards. They explore real life applications of radicals.
Worksheet
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Order of Operations

For Students 7th - 8th
In this order of operations worksheet, students use the order of operations to solve given problems. Students solve simple one-variable algebra problems. They substitute a given value to evaluate expressions. This two-page worksheet...
Worksheet
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Exploring the Ares 1X Launch-Parameters

For Students 10th - 12th
In this rocket launch worksheet, learners solve 3 problems about the Ares 1X rocket and its launch, trajectory, and motion in both the vertical and horizontal direction.