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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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Eliminate What?

For Teachers 8th - 12th
Students are introduced to the elimination method in Algebra. As a class, they solve two linear equations with two unknowns using this new method. They discuss the positive and negative aspects of using this method to solve problems. ...
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Cramer's Rule ID: 8793

For Teachers 9th - 12th Standards
Mathematicians are introduced to Cramer’s Rule and use it to solve three systems that have one solution, no solutions, and an infinite number of solutions.  Students use TI-Nspire to graph the systems to verify their answers and...
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How Many Solutions 2

For Teachers 9th - 12th Standards
High schoolers solve systems of equations. In this algebra lesson, students graph lines and identify the point of intersection. They identify the function to see if it is a function.
Lesson Plan
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Augmented Matrices

For Teachers 9th - 12th Standards
Pupils write systems of equations in an augmented matrix and enter it into their calculator. They use the reduced row echelon function on the calculator to solve the system of equations.
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Maximizing Your Efforts

For Teachers 9th - 12th Standards
Students graph systems of equation. In this algebra lesson plan, students find where the lines cross and identify the type of solution. They analyze a graph and write the equation of the line.
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Using Inequalities to Problem Solve

For Teachers 8th - 10th
Students explore inequalities. For this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division.  Students use inequalities to solve and graph real-world problems.
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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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Count the Differences

For Teachers 9th - 12th Standards
Pupils find the difference between consecutive y-values on the calculator and write an equation that fits the data.  They continue finding the differences in consecutive y-values using lists on their calculator. Learners...
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).
Worksheet
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Academic Algebra II 1st Semester Exam

For Students 9th - 12th
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...
Worksheet
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Linear Systems: Vector Spaces of a Matrix

For Students 11th - Higher Ed
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.
Worksheet
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Linear Systems: Applications of Determinants

For Students Higher Ed
In this determinant worksheet, students use determinants to find area and volume. This two-page worksheet contains examples, explanations and four problems.
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Points, Slopes, and Lines

For Teachers 6th - 9th Standards
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Lesson Plan
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Count the Differences

For Teachers 9th - 12th Standards
Students determine the degree of polynomials.  In this determining the degree of polynomials lesson, students find the difference between consecutive y-values.  Students find the degree of a linear, quadratic, and cubic...
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Chapter 5 Solving Problems

For Teachers 9th - 12th
Students explore the concept of algebra topics. In this algebra topics lesson, students solve linear and quadratic equations. Students solve systems and factor equations. Students practice problems involving perfect square trinomials and...
Lesson Plan
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Changing the Currency of Different Countries

For Teachers 7th
Seventh graders explore changing currency. For this international math lesson, 7th graders will write and solve 2-step equations in order to convert currencies between nations. Students will research prices of items and currency...
Lesson Plan
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Conductivity of salt Solutions

For Teachers 8th - 11th
Students investigate the concentration level of solutions. In this math/science lesson, students identify three different ionic compounds. They predict the conductivity of each using their collected data.
Lesson Plan
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The Power of Algebra

For Teachers 1st
First graders explore patterns. They look for patterns in number problems and use algebra as a means of solving general problems. Students devise a strategy to solve the number problem.
Worksheet
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Graphs

For Students 9th - 11th
In this algebra worksheet, students solve linear equations through graphing and quadratic equations through factoring. There are 4 questions dealing with systems of equations.
Worksheet
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New York Exam

For Students 9th - 11th
In this algebra learning exercise, students review the basic concepts of algebra and linear equations. They solve polygons and shapes for their area and perimeter. There are 27 questions.
Lesson Plan
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Matrix operations and Matrix Inverses

For Teachers 11th
Eleventh graders study how to combine like vector's that are matrices. For this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
Lesson Plan
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The Elimination Method

For Teachers 10th
Tenth graders investigate the Elimination Method in the solving of equations. They solve the equation using this method in examples with the teacher and then transfer the new knowledge to independent practice.
Worksheet
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Row-Echelon Matrices

For Students 10th - 12th
In this algebra worksheet, students rewrite linear equations using matrices and solve using row-echelon form. There are 30 problems ranging from one equation to system of equations.

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