Worksheet
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Limits

For Students Higher Ed
In this limit worksheet, students evaluate functions and determine the limits of the function. This one-page worksheet contains 10 problems.
Worksheet
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Math Honors 2: Trigonometry Review Questions

For Students 11th - 12th
In this Algebra II/Trigonometry worksheet, students solve problems involving angle of depression or elevation, evaluate trigonometric expressions, solve trigonometric equations, and graph trigonometric functions. The one page worksheet...
Lesson Plan
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Compare and Contrast

For Teachers 9th - 10th
Students graph equations using the y-intercept. In this algebra lesson, students investigate functions based their slope and y-intercept. They learn to analyze graphs by comparing the y-intercepts of the graphs.
Lesson Plan
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Maximum and Minimum Values

For Teachers 11th
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form.  Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions.  The one...
Worksheet
Curated OER

Using Linear Models

For Students 11th
In this Algebra II learning exercise, 11th graders examine models whose behavior can be described by a linear function.  The four page learning exercise contains explanation of topic, three guided problems, and eight practice...
Lesson Plan
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Candy Experiment

For Teachers All
Students investigate why a slope is negative. In this algebra instructional activity, students differentiate between negative and positive slopes by graphing. They collect data, write an equation and graph using the slope.
Lesson Plan
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Race Car Activity

For Teachers 8th - 10th
Students investigate linear functions.  In this linear functions lesson, students are given a situation where two race cars start at the same point.  Students have four graphs that they match to the race car scenario. ...
Lesson Plan
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Christmas Presents

For Teachers 7th
Seventh graders create a graph of their Christmas gifts. They develop categories, compute fractional and decimal parts for each category, identify the number of degrees to represent each fractional part, and create a circle graph to...
Lesson Plan
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Ball Toss Activity

For Teachers 9th - 12th Standards
Pupils collect data from tossing a ball into the air. Using a data collection device, they graph the data, set a window, and analyze the height of the toss, how long the ball was in the air, etc. They then find an equation that models...
Lesson Plan
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Who Won the Cross-Country Meet?

For Teachers 4th - 6th
Students write verbal expressions into algebraic expressions and solve the expressions. They determine who wins a race by determining the algebraic expression.
Lesson Plan
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Race Track (Culminating Activity)

For Teachers 9th - 10th
Students graph and solve linear equations. In this algebra lesson, students use the slope and y-intercept to graph lines. They relate lines to the real world using different applications.
Worksheet
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Worksheet 11

For Students 6th - 8th
In this math learning exercise, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
Lesson Plan
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Linear Equations

For Teachers 9th - 10th
Students solve linear equations by modeling. In this algebra lesson, students solve one and two step inequalities and equations. They use manipulative to create a visual of the steps.
Lesson Plan
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Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...
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.
Lesson Plan
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Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students determine the vertex and the axis of symmetry of a parabola.  The two page worksheet contains a combination of eleven multiple choice and free response questions.  Answers are...
Lesson Plan
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A Penny Saved is a Penny Earned

For Teachers 9th - 12th
Students explore the concept of exponential growth.  In this exponential growth lesson, students manipulate power models with base 2.  Students discuss what would happen if you doubled a penny over the course of 20 days. ...
Worksheet
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The Reciprocal Function Family

For Students 11th
In this Algebra II worksheet, 11th graders examine the reciprocal function family in the form y = a/(x – h) + k, identifying the vertical and horizontal asymptotes.  The two page worksheet contains explanation, examples, and two...
Lesson Plan
Illinois State Board of Education

Is It Linear?

For Teachers 6th - 9th Standards
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
Lesson Plan
Illustrative Mathematics

Fishing Adventures 1

For Teachers 5th - 7th Standards
Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...
Lesson Plan
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Graphing and the Coordinate Plane

For Teachers All
Students learn about the Cartesian coordinate plane, understand the four quadrants of the Cartesian coordinate plane, and plot points on the plane. Students read coordinates for a point from a graph and give the ratio of rise over run...
Worksheet
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Polynomial Functions

For Students 11th
In this Algebra II instructional activity, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page instructional activity provides explanation and examples along with...
Worksheet
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Algebraic Solution of a Quadratic, Linear System

For Students 8th - 10th
In this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
Lesson Plan
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Algebra II: Exponential Functions

For Teachers 9th - 12th
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.

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