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Organic Chemistry Worksheet
In this organic molecules worksheet, students classify organic compounds, they name organic compounds using the IUPAC naming system, they complete chemical reactions of organic compounds, and they draw structural formulas of isomers.
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Types of Chemical Reactions Lab
In this chemical reactions learning exercise, students experiment with several different reactions and identify each as a single replacement, double replacement, synthesis, decomposition or combustion reaction. Students observe the...
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NY State Testing Program
In this math exam activity, 8th graders review geometric and algebraic concept including angles, polygons, equations, factoring and addition and subtraction, quadrilaterals, trig and circles. They take a comprehensive exam covering...
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New York Exam
In this algebra worksheet, students review the basic concepts of algebra and linear equations. They solve polygons and shapes for their area and perimeter. There are 27 questions.
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Factoring
Ninth graders factor equations and find prime numbers. In this algebra lesson, 9th graders find the factors and prime factors of a number using multiples and relatively prime numbers.
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Pilots, Airplanes, and the Tangent of Three Degrees
High schoolers explore how to use trigonometry in the aviation field. In this aviation instructional activity students complete trigonometry equations that show what planes should do to land their airplanes.
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The Space Cadet's Laboratory: Using Electromagnetic Energy to Study Astronomy
Students build their own spectrophotometer to study light. In this physics lesson, students explain the dual nature of light. They calculate the angle of incidence and refraction using Snell's law equation.
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Awareness of Pre-algebra Concepts
Students demonstrate different algebraic equations using Borenson's Hands-On Equation materials. They work in a cooperative group to solve algebraic equations.
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Today's Number
Using the number of days they have been in school, learners practice fining sums by adding ten, subtracting ten, and determining even and odd numbers. They write equations and build numbers with the fewest number of base ten blocks.
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Gauss' Law
Students derive the equation of Gauss's law. In this physics lesson, students investigate the factors affecting the strength of the electric field. They perform simulation on Gauss's law.
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Solving Right Triangles
Students investigate the basic trigonometric functions. In this geometry/trigonometry lesson, students explore strategies to solve right triangles using basic trigonometric functions. The lesson includes an application problem in which...
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Linear Systems: Fundamental Theorem
In this fundamental theorem activity, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page activity...
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Linear Systems: Vector Spaces of a Matrix
In this vector space matrix worksheet, students decompose given vectors into two orthogonal pieces--one from the nullspace and another from the row space. this two-page worksheet contains examples and approximately five problems.
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Linear Systems: Projections
In this projection worksheet, learners determine the projections if a given matrix. They take a vector and project it onto a line and subspace. This four-page worksheet contains examples and approximately seven problems.
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Linear Systems: Applications of Eigenvalues and Eigenvectors
In this Eigenvalue worksheet, students examine the applications of matrix exponentiation. This four-page worksheet contains examples, explanations and approximately three problems to complete.
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Linear Systems: Geometric Interpretation of Eigenvalues and Eigenvectors
In this interpretation of eigenvalues and eigenvectors worksheet, students probe the given results of exponentiation of a matrix. They tell the implications of this result. Students prove that the eigenvectors of a symmetric matrix are...
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Linear Systems: Introduction to Vector Space
In this vector space instructional activity, students find the column spaces of given matrices. This two-page instructional activity contains examples, theorems, explanations, and approximately three problems.
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Linear Systems: Symmetric Matrices
In this symmetric matrices worksheet, students find the eigenvalues of a matrix and discover that symmetric matrices are diagonalizable. This two-page worksheet contains examples, explanations and two problems.
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Linear Systems: Vector Spaces and Subspaces
In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
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Linear Systems: Vector Spaces
In this vector space learning exercise, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page learning exercise contains approximately eight problems.
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Linear Systems: Column Space and Nullspace of a Matrix
In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.
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Linear Systems: Properties of the Four Matrix Subspaces
In this four matrix subspaces worksheet, students identify statements which are always true for given matrices. Students are given five matrices and a list of ten statements.
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Linear Systems: Lengths and Dot Products
For this dot product worksheet, students explore the multiplication of vectors. This two-page worksheet contains explanations, examples, and approximately ten problems.
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Linear Systems: Matrix Operations
This matrix operations worksheet covers topics such as matrix addition, multiplication and properties such as associative, commutative and distributive. Students give examples and counter examples of matrix addition and multiplication. ...
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