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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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 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
Pupils 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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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
Pupils 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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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
Students 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 plan 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 worksheet, 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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Where's the Beach?
Students use beach profile data to analyze how erosion and sediment transport changed seashore slopes. In this geology lesson, students plot the data provided and analyze erosion patterns. They also assess coastal erosion management...
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Measuring Velocity
Students calculate their classmate's velocity using a mathematical formula. In this physics lesson, students graph the motion. They interpret the slope of the graph.
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Advanced Introduction to TI-8x Calculators: Programming in TI-Basic
High schoolers program a TI-Basic calculator. In this calculator programming lesson, students explore how to create and graph a linear equation. High schoolers study how to input variables into the function and read the graph output.
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Linear Equations
In this algebra instructional activity, learners solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
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Applying Properties to Variables
Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...
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