Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Worksheet
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Unit 4: Worksheet 4: Functions and Graphs

For Students 9th - 10th
In this function and graph worksheet, students read and interpret maps and graphs. They write an equation, define variables and solve the equation. Students solve diamond problems and use the distributive property to solve equations. ...
Worksheet
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Numerical Analysis: Discrete Least Squares

For Students Higher Ed
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
Lesson Plan
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Investigating Linear Equations Using Graphing Calculator

For Teachers 8th - 10th
Students investigate linear equations using the Ti-Calculator. In this algebra lesson plan, students graph lines and identify the different quadrants on a coordinate plane. They identify ordered pairs used to plot lines.
Lesson Plan
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Population: Logistically Speaking

For Teachers Higher Ed
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
Lesson Plan
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Worksheet Chapter 7.1 & 8.1 College Prep Algebra

For Teachers 9th - 12th
In this algebra worksheet, students solve equations through substitution and then solve for an unknown. They simplify division equations containing exponents and two variables and solve radical problems. This worksheet contains a...
Worksheet
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Factoring Puzzle

For Students 7th - 9th
In this factoring puzzle, students factor given equations with one and two variables, exponents, and parenthesis.  This one-page worksheet contains 19 matching problems. 
Worksheet
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Graphing Inequalities

For Students 7th - 8th
In this inequality instructional activity, students solve inequalities on a coordinate plane by graphing. The linear equations contain two variables. This one-page instructional activity contains ten problems.
Lesson Plan
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Solving Systems of Equations by graphing for Algebra One

For Teachers 7th - 11th
Pupils watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
Worksheet
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Linear Equations

For Students 6th
In this linear equations activity, 6th graders solve and complete 18 different types of problems. First, they combine like terms on one side of the equals sign. Then, students add or subtract like terms and divide by the number in front...
Lesson Plan
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Solving Systems using Elimination

For Teachers 9th - 12th Standards
Using elimination to find the point of intersection of two lines, students learn to solve systems of equation. They graph their solutions and use the TI to verify the solution.
Lesson Plan
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Stressed to the Breaking Point

For Teachers 9th - 12th
Students explore the relationship between the amount of weight that can be supported by a spaghetti bridge, the thickness of the bridge, and the length of the bridge to determine the algebraic equation that best represents that pattern...
Worksheet
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Modeling in Algebra

For Students 8th
In this modeling in algebra worksheet, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each....
Worksheet
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Finding and Graphing the Solution of an Inequality

For Students 9th - 11th
In this Algebra/Algebra II worksheet, students find and graph the solution of an inequality.  The two page worksheet contains a combination of eleven multiple choice and free response problems.  Answers are provided. 
Lesson Plan
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Algebra/Geometry Institute Summer 2007 - Perimeter of Polygons

For Teachers 6th
Sixth graders find the perimeters of polygons and use perimeters to form polygons. In this perimeter lesson, 6th graders study vocabulary associated with finding perimeter such as polygon, line segment, variable, and formula. They make...
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Polynomials

For Students 9th
In this polynomials worksheet, 9th graders solve and complete 21 different problems that include determining the various types of polynomials. First, they find the degree of each polynomial. Then, students arrange the terms of each...
Lesson Plan
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Algebra Wizards

For Teachers 2nd
Second graders are exposed to algebraic thinking by exploring the concept of a variable. They tell how many years have passed since they've seen a favorite teacher and then examine how they arrived at this number. They write equations.
Lesson Plan
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Point-Slope Form

For Teachers 9th
Ninth graders explore the point-slope form of linear equations and graph lines in the point-slope form. After completing the point-slope equation, they identify the slope of a line through a particular point. Students explain the...
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
In this function instructional activity, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page instructional activity contains approximately ten problems.
Worksheet
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Solving Equations by Factoring

For Students 9th - 11th
In this solving equations by factoring learning exercise, students solve and complete 10 different problems. First, they solve each equation using the Zero product property. Then, students define a variable and use an equation to solve...
Lesson Plan
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Standard Linear Form

For Teachers 9th
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
Worksheet
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At the Aquarium

For Students 3rd - 4th
In this writing equations worksheet, students solve 6 math word problems that require them to write and solve equations using the information provided.
Lesson Plan
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Linear Inequalities - Parallelogram Problem

For Teachers 9th - 11th
Learners 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 results on...
Worksheet
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Combining Like Terms and Solving

For Students 8th - 9th
In this combining like terms and solving worksheet, students combine terms in simple algebraic equations and solve for the unknown. When needed, students may observe step-by-step instructions to solve given equations. There are 20...