Lesson Plan
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Wacky Water World

For Teachers 8th
Eighth graders calculate a system of equations to find the best ticket price for a ticket at a water park. They explain how the equations helped them make their decision on the best price.
Lesson Plan
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What's The Point?

For Teachers 9th - 11th
Young scholars solve word problems using the correct math symbols. In this algebra lesson, students use the TI calculator to graph their equation and analyze it. They find the line of regression and use to draw conclusion.
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Linear Inequalities - Parallelogram Problem

For Teachers 9th - 11th
Young scholars use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the...
Lesson Plan
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Systems of linear inequalities in slope-intercept form

For Teachers 9th - 12th
High schoolers graph a linear inequality and describe its solution set. They solve a system of linear equalities graphically and symbolically. Students set up and solve a system of linear inequalities using linear programming...
Lesson Plan
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Systems of Linear Inequalities in Standard Form -- Lecture

For Teachers 6th - 8th
Middle schoolers participate in a lecture about linear inequalities. Individually, they graph different inequalities and describe its solution. They participate in a demonstration in which they solve a system of inequalities and...
Worksheet
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Introduction to Linear Algebra 1.3

For Students 11th - Higher Ed
In this linear algebra activity, students write down the system that arises from the vector equation stated. Then they apply the Gaussian elimination method to solve their system. Finally, students explain their conclusion and answer the...
Worksheet
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The "Laws" and Principles of Chemical Reactions

For Students 10th - 12th
In this chemical reactions worksheet, students review the law of conservation of mass, the principle of definite proportions, and balancing equations. This worksheet has 3 problems to solve.
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That's a Fine Line You're Walking!

For Teachers 7th - 10th
Learners experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...
Worksheet
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Worksheet 19

For Students 6th - Higher Ed
In this math worksheet, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).
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Worksheet 13

For Students 11th - Higher Ed
In this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
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Geometry Quiz

For Students 9th - 12th
For this geometric quiz worksheet, students complete 5 problems involving segment addition, distance formula, and solving equations.
Lesson Plan
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Linear Programming and the Inequalz App

For Teachers 9th - 12th Standards
Learners graph system of linear inequalities in this lesson plan. Your class will use the Inequality Graphing App to enter linear programming functions into the calculator that can be stored for later use. They then determine the maximum...
Worksheet
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Graphs

For Students 9th - 11th
In this algebra activity, students solve linear equations through graphing and quadratic equations through factoring. There are 4 questions dealing with systems of equations.
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Dynamic Algebra

For Teachers 9th - 12th Standards
Explore 5 classical problems of algebra.  They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual...
Worksheet
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Algebraic Solutions

For Students 9th
In this algebraic solutions learning exercise, 9th graders solve 10 different sets of simultaneous equations. First, they solve one of the equations such that one variable is defined in terms of the other. Then, students take the new...
Worksheet
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Linear Systems: Using Matrix Operations

For Students 12th - Higher Ed
In this linear systems worksheet, students use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
Lesson Plan
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Using Inequalities to Problem Solve

For Teachers 8th - 10th
Learners explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division.  Learners use inequalities to solve and graph real-world problems.
Worksheet
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Linear Systems: Least Squares Approximations

For Students Higher Ed
For 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...
Worksheet
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Linear Systems: Least Squares Approximations

For Students 11th - Higher Ed
In this least squares approximation worksheet, 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 four-page...
Worksheet
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Linear Systems: Geometric Interpretation of Eigenvalues

For Students 12th - Higher Ed
For this geometric interpretation worksheet, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page worksheet contains explanations, examples, theorems and two problems for students to solve.
Worksheet
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Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
Worksheet
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Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
Worksheet
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The Most Important Equation in Astronomy!

For Students Higher Ed
In this astronomy optics worksheet, students calculate the angular resolution and maximum resolution for given telescope specifics. This worksheet has 3 problems to solve.
Lesson Plan
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Equilibrium Equations

For Teachers 11th - Higher Ed
In this equilibrium worksheet, students calculate the equilibrium constant for reactions and the equilibrium concentrations. This worksheet has 10 problems to solve.