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Supplemental Trig Problems
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
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
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
In this equations worksheet, 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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Graph Creator
Students rewrite equations using algebraic symbols. In this algebra lesson plan, students graph linear equations using the slope and y intercept. They make predictions about their graphs and analyze the results.
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, learners create graphs comparing displacement, velocity, and acceleration to time. The five-page learning exercise...
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Graphing Review
Young scholars 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...
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Reading the Shapes of Volcanoes on Earth and Mars
Students 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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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
Students 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 any...
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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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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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Volcanoes: Piles of Fire
Learners 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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Graphing To Solve Systems of Equations
Students explore graping linear equations and their relevance to real life situations. After a teacher led demonstration, students work at their desks and on the board to plot points and determine the slope of a line. Students then...
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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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Soils, Water and Erosion
Students participate in a hands-on experiment to compare how water and soil erosion affect soil and grass. They determine how slope affects erosion and how terracing affects erosion. They write a paragraph summarizing their data.
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Equations of a Line
Learners write the equation of a line when given the graph, two points on the line, or the slope and a point on the line. The lesson format is teacher lecture, guided instruction, and independent practice.
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Mathematical Techniques - Basic Graphing
Students are introduced to significant figures and how to add, subtract, multiply and divide them. In a group, they practice plotting data points from a table to a graph and labeling all axes. They calculate the slope and y-intercept and...
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Ski Maze
In this maze instructional activity, students draw a line through the maze. This maze features a skier going down a slope. The maze is in the shape of an eight.
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