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Title: Incline Plane and the Crashing Marble
Description:
Students will measure the effects of the height of an inclined plane on the force a marble produces to move a plastic, foam, or paper cup across a table. Students will discover that the higher the incline plane, the more force produced by the marble, which moves the cup a greater distance. Students will also learn how to graph data and discover the appropriate graph to use for comparison.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [S1] (8) 1: Identify steps within the scientific process. [S1] (8) 8: Identify Newton's three laws of motion. [S1] (8) 9: Describe how mechanical advantages of simple machines reduce the amount of force needed for work. [S1] (8) 10: Differentiate between potential and kinetic energy. [MA2013] (6) 20: Use variables to represent two quantities in a realworld problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. [6EE9] [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [MA2013] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8EE5] [MA2013] (8) 8: Use similar triangles to explain why the slope m is the same between any two distinct points on a nonvertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. [8EE6] [MA2013] (8) 14: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of linear function in terms of the situation it models and in terms of its graph or a table of values. [8F4] [MA2013] (8) 15: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. [8F5]
Subject: Mathematics (6  8), or Science (8)
Title: Incline Plane and the Crashing Marble
Description: Students will measure the effects of the height of an inclined plane on the force a marble produces to move a plastic, foam, or paper cup across a table. Students will discover that the higher the incline plane, the more force produced by the marble, which moves the cup a greater distance. Students will also learn how to graph data and discover the appropriate graph to use for comparison.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Thinkfinity Lesson Plans
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Title: Inclined Plane
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In this multipleday activity, from Illuminations, students time balls rolling down inclines of varying lengths and heights. They then try to make inferences about the relationships among the variables involved.
Standard(s): [S1] (8) 8: Identify Newton's three laws of motion. [S1] (8) 10: Differentiate between potential and kinetic energy. [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6RP1] [MA2013] (6) 2: Understand the concept of a unit rate ^{a}/_{b} associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. [6RP2] [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3] [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [MA2013] (8) 7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. [8EE5] [MA2013] AL1 (912) 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] AL1 (912) 30: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.* [FIF6] [MA2013] AL1 (912) 34: Write a function that describes a relationship between two quantities.* [FBF1] [MA2013] AL1 (912) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [SID7]
Subject: Mathematics,Science Title: Inclined Plane
Description: In this multipleday activity, from Illuminations, students time balls rolling down inclines of varying lengths and heights. They then try to make inferences about the relationships among the variables involved. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Curve Balls
Description:
In this Science Update, from Science NetLinks, you'll hear about the mathematics behind baseball pitching. Mathematician Chuck Romine discusses a new mathematical model that describes the trajectory of a curve ball. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources.
Standard(s): [S1] (8) 8: Identify Newton's three laws of motion. [S1] (8) 9: Describe how mechanical advantages of simple machines reduce the amount of force needed for work. [S1] (8) 10: Differentiate between potential and kinetic energy. [S1] PHS (912) 6: Identify characteristics of gravitational, electromagnetic, and nuclear forces. [S1] PHS (912) 7: Relate velocity, acceleration, and kinetic energy to mass, distance, force, and time. [S1] PHS (912) 12: Identify metric units for mass, distance, time, temperature, velocity, acceleration, density, force, energy, and power. [S1] CHE (912) 7: Explain the behavior of ideal gases in terms of pressure, volume, temperature, and number of particles using Charles's law, Boyle's law, GayLussac's law, the combined gas law, and the ideal gas law. [S1] PHY (912) 1: Explain linear, uniform circular, and projectile motions using one and twodimensional vectors. [S1] PHY (912) 3: Explain planetary motion and navigation in space in terms of Kepler's and Newton's laws. [S1] PHY (912) 4: Describe quantitative relationships for velocity, acceleration, force, work, power, potential energy, and kinetic energy.
Subject: Physical Education, Science Title: Curve Balls
Description: In this Science Update, from Science NetLinks, you'll hear about the mathematics behind baseball pitching. Mathematician Chuck Romine discusses a new mathematical model that describes the trajectory of a curve ball. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8,9,10,11,12
Thinkfinity Podcasts
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Title: Curve Balls
Description:
In this Science Update, from Science NetLinks, you'll hear about the mathematics behind baseball pitching. Mathematician Chuck Romine discusses a new mathematical model that describes the trajectory of a curve ball. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources.
Standard(s): [S1] (8) 8: Identify Newton's three laws of motion. [S1] (8) 9: Describe how mechanical advantages of simple machines reduce the amount of force needed for work. [S1] (8) 10: Differentiate between potential and kinetic energy. [S1] PHS (912) 6: Identify characteristics of gravitational, electromagnetic, and nuclear forces. [S1] PHS (912) 7: Relate velocity, acceleration, and kinetic energy to mass, distance, force, and time. [S1] PHS (912) 12: Identify metric units for mass, distance, time, temperature, velocity, acceleration, density, force, energy, and power. [S1] CHE (912) 7: Explain the behavior of ideal gases in terms of pressure, volume, temperature, and number of particles using Charles's law, Boyle's law, GayLussac's law, the combined gas law, and the ideal gas law. [S1] PHY (912) 1: Explain linear, uniform circular, and projectile motions using one and twodimensional vectors. [S1] PHY (912) 3: Explain planetary motion and navigation in space in terms of Kepler's and Newton's laws. [S1] PHY (912) 4: Describe quantitative relationships for velocity, acceleration, force, work, power, potential energy, and kinetic energy.
Subject: Physical Education, Science Title: Curve Balls
Description: In this Science Update, from Science NetLinks, you'll hear about the mathematics behind baseball pitching. Mathematician Chuck Romine discusses a new mathematical model that describes the trajectory of a curve ball. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8,9,10,11,12

