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Discussion Sheet 7: Intermediate Value Theorem

For Students Higher Ed
In this intermediate value theorem worksheet, students use the intermediate value theorem to verify that equations are solvable. They find the slope, and determine the height and radius of given figures. Students complete rate and...
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Supplemental Trig Problems

For Students 11th - Higher Ed
In this supplemental trigonometry worksheet, students determine the indicated limit, identify the tangent for an increasing function, find the relative and absolute extremes and write the formula for an equation and slope of a line. ...
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Average and Instantaneous Velocity

For Students Higher Ed
In this velocity worksheet, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page worksheet...
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Continuous Functions

For Students 12th - Higher Ed
In this continuous function worksheet, students determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page worksheet contains...
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Graphs in the Coordinate Plane

For Students 7th - 12th
In this equations instructional activity, students complete 13 multiple choice questions matching a graph in the coordinate plane to its equation and writing the equation of a line given two points or slope and a point.
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How Creepy!

For Teachers 5th - 8th
Students observe and measure a model of slow down slope movement.  In this graphing lesson students collect, record, and organize data that apply to models.   
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Graphing Linear Equations

For Teachers 9th - 11th
In this linear equations worksheet, students graph linear equations on a coordinate plane. They identify the slope and the y-intercept. This five-page worksheet contains approximately 36 problems.
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Linear Graphs and Equations

For Students 7th - 8th
In this linear graph and equations worksheet, learners calculate the gradient of slopes, and find equations of lines in patterns.
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Properties of Logarithms

For Teachers 9th - 12th
Students explore the concept of logarithms.  In this logarithms lesson, students graph logarithms on their Ti-Nspire calculator.  Students describe the shapes of their graphs by identifying slope, y-intercepts, and roots. ...
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Graphing Equations

For Teachers 10th - 11th
Young scholars differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
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Compare and Contrast

For Teachers 9th - 10th
Young scholars 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.
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Can we Predict Differences?

For Teachers 7th - 10th
Students differentiate between linear and non-linear graphs. In this algebra lesson, students investigate slopes as it relates to a function using graphs of linear and non-linear equations. They collect data using the TI to graph...
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Pike's Peak Problem

For Students 7th - 12th
In this algebra activity, students answer a word problem about a distance-rate multiplied by times problem. They discuss slope and altitude. There is an answer key with this problem.
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Implicit Differentiation

For Teachers 11th - 12th
Young scholars implicitly differentiate functions .  In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable.  Young scholars find the derivative of an...
Interactive
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Review of Calculus BC I

For Students 10th - 12th
In this review worksheet, learners match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given...
Lesson Plan
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Graphing Inequalities and Shading

For Teachers 9th - 10th
Students graph and shade inequalities. For this algebra lesson, students graph inequalities using the slope-intercept form. They shade the side of the line that is the solution and identify the domain and range.
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Race Track (Culminating Activity)

For Teachers 9th - 10th
Learners 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.
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Perpendicular to an Equation through a Point

For Students 8th - 12th
In this algebra worksheet, students write a line perpendicular to given slope-intercept equation and a given point. There are 6 questions.
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Graph Creator

For Teachers 7th - 9th
Students rewrite equations using algebraic symbols. For this algebra lesson, students graph linear equations using the slope and y intercept. They make predictions about their graphs and analyze the results.
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Using Tiles to Solve Word Problems

For Teachers 7th - 9th
Students solve problems using equations. In this algebra instructional activity, students identify the correct symbols and steps when solving word problems. They graph their lines and analyze the slope using tiles.
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Constructing and Solving Linear Equations

For Teachers 8th - 11th
Pupils construct and solve linear equations. In this algebra instructional activity, students solve equations and graph lines using the slope. They identify the different parts of an equation including the leading coefficient.
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Linear and Nonlinear Functions

For Teachers 8th - 10th
Students identify properties of a line. In this algebra lesson, students differentiate between functions and nonfunctions. They use the slope and y intercept to graph their lines.
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Graphing Real World Situations

For Teachers 9th - 12th
Students solve linear equations using graphs. In this algebra instructional activity, students depict real life situation using lines and functions. They identify the slope, data and predict graphing behavior.
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Volcano Vocabulary

For Students 6th - 9th
In this volcano worksheet, students do a crossword puzzle using the vocabulary for the types of volcanoes, the types of lava, the slopes of the volcanoes and the movement of the lava.

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