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Implicit Differentiation
Students implicitly differentiate functions . In this implicitly differentiating functions activity, students take the derivative of functions that cannot be solved for a variable. Students find the derivative of an equation for a...
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Review of Calculus BC I
For this review worksheet, students 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 equations. This two-page...
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Graphing Inequalities and Shading
Students graph and shade inequalities. In 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)
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.
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Perpendicular to an Equation through a Point
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
Students rewrite equations using algebraic symbols. In this algebra activity, 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
Students solve problems using equations. In this algebra lesson, 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
Young scholars construct and solve linear equations. In this algebra lesson, 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
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
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.
National Council of Teachers of Mathematics
Varying Motion
For this secondary mathematics learning exercise, high schoolers collect data based on a person’s motion. From this data, students create graphs comparing displacement, velocity, and acceleration to time. The five-page learning exercise...
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Reading the Shapes of Volcanoes on Earth and Mars
Pupils compare and contrast the volcanoes of Earth and Mars, and examine specific volcanoes on Mars. They model the processes that create cone and shield volcanoes, and measure the slope angles of cone and shield volcanoes.
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Getting Help, but for More Work?
Fifth graders discuss prior knowledge of slope and force. They relate steepness of slope to the force needed to get an object up the slope. Students read from their text the information about inclined planes. They answer the questions...
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Graphing Review
Students review the principles of graphing linear functions. They discuss plotting points on a coordinate plane, solving using a table, and then graphing. Students solve problems and determine the slope of the line, y-intercept and if...
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Reading a Graph: Azimuth Range vs. Day in Barrow Alaska
Students practice reading a graph while doing story problems. They determine the x and y intercepts and calculate the slope. They also practice writing linear equations.
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Investigating Motion
Students determine velocity using the slope of a time distance graph. They investigate a motion cart using a CBR unit and a TI 83 calculator setup. Using the graph generated, they calculate velocity.
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Rates Of Change
High schoolers investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at...
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Hudson Canyon Expedition Let's Bet on Sediments!
Students investigate and analyze the patterns of sedimentation in the Hudson Canyon students observe how heavier particles sink faster than finer particles. They study that submarine landslides (trench slope failure) are
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Exploring Linear Equations
Eighth graders follow the teacher as they enter information into the graphing calculator. They investigate different graphs to explain the slope of a line, the y intercept, and parallel lines.
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Avalanche
Students investigate the concept of avalanches and how they effect people who use the slopes. They conduct research using multiple resources that includes the internet in order to create a final oral presentation.
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Volcanoes: Piles of Fire
Students investigate how particle size affects the angle of a volcano's slope.
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Ohm's Law
Students explain the meaning of Ohm's Law, and plot a graph of voltage versus current, by explaining how the slope is the resistance of the circuit.
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Making a Mountain Out of a Snow Hill: Skiing, Winter Sports, Economics, Business, Problem Solving
Students explore how to select among choices of variables and analyze the cost-benefit ratio of their short and long term planning in a team activity as they consider the planning and operation of a ski slope.
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Speed Is the Key
Students design and build a model downhill ski course that proves to be the fastest course at the Finish Line. They apply what they explore angles, slope, speed, and surface conditions to find the fastest course in the US.
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