OER Commons - Keywords: Linear
https://www.oercommons.org
daily12000-01-01T12:00+00:00Boston University Physics Easy Java Simulation: Collisions in One Dimension
https://www.oercommons.org/courses/boston-university-physics-easy-java-simulation-collisions-in-one-dimension
In this interactive simulation, users collide two balls traveling along a line to investigate whether momentum and kinetic energy are conserved in the collision. Values for mass, initial velocity, and elasticity can be controlled by sliders. Users must calculate and enter the momentum and kinetic energy of each ball after the collision. Answers may be checked for immediate feedback. This applet was created with EJS, <i>Easy Java Simulations</i>, a modeling tool that allows users without formal programming experience to generate computer models and simulations.Andrew DuffyMathematicsEcologyForestry and AgricultureGeosciencePhysicsTechnologyEducation2015-04-08T18:13:33.926879Course Related MaterialsSmartGraphs: Describing Velocity
https://www.oercommons.org/courses/smartgraphs-describing-velocity
This web-based graphing activity explores the similarities and differences between Velocity vs. Time and Position vs. Time graphs. It interactively accepts user inputs in creating "prediction graphs", then provides real-time animations of the process being analyzed. Learners will annotate graphs to explain changes in motion, respond to question sets, and analyze why the two types of graphs appear as they do. It is appropriate for secondary physical science courses, and may also be used for remediation in preparatory high school physics courses. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology. Users must register to access full functionality of all the tools available with <i>SmartGraphs</i>.National Science FoundationThe Concord ConsortiumMathematicsLife SciencePhysicsTechnologyEducation2015-04-06T13:51:08.320157Course Related MaterialsSmartGraphs: How Fast Am I Moving?
https://www.oercommons.org/courses/smartgraphs-how-fast-am-i-moving
This activity for middle school blends a motion sensor lab with a digital "SmartGraph" tool to illustrate how a Position vs. Time graph can be used to find velocity. First, students use a digital graph sketcher to predict what a motion graph looks like at different speeds. Next, learners use a <i>Vernier Go!</i> motion device to record their own walking motion. The data from the motion sensing is automatically transmitted to the SmartGraph interface via a USB connection. Scaffolds are provided at intervals to help students calculate rise over run and understand how slope of a P/T graph is related to speed. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology.National Science FoundationThe Concord ConsortiumMathematicsPhysicsTechnologyEducation2015-04-06T13:48:16.470587Course Related MaterialsPEMDAS: Algebraic Order of Operations
https://www.oercommons.org/courses/pemdas-algebraic-order-of-operations
Watch this music video to help you learn about PEMDAS (Please Excuse My Dear Aunt Sally). Does this sound familiar? If not, this is an excellent device to memorize the algebraic order of operations. This video is produced by Mr. Davis Productions and plays music by Odyssey Sound Lab.MathematicsEducation2014-11-13T21:47:47.284738Course Related MaterialsLinear Function Machine
https://www.oercommons.org/courses/linear-function-machine-2
Students investigate linear functions by trying to guess the slope and intercept from inputs and outputs. Linear Function Machine is one of the Interactivate assessment explorers.MathematicsComputing and InformationEducation2014-11-06T16:30:13.227088Course Related MaterialsPositive Linear Function Machine
https://www.oercommons.org/courses/positive-linear-function-machine-2
Students investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs. Positive Linear Function Machine is one of the Interactivate assessment explorers.MathematicsComputing and InformationEducation2014-11-06T16:30:08.673641Course Related MaterialsUnderstanding Distance, Speed, and Time Relationships Using Simulation Software
https://www.oercommons.org/courses/understanding-distance-speed-and-time-relationships-using-simulation-software
This E-example from NCTM's algebra standard helps students in the upper elementary grades understand ideas about functions and about representing change over time. It includes a software simulation of two runners along a track and students have an opportunity to analyze how a change in the starting position or the length of the stride will affect the time needed to reach the finish lines. Students can control the speed (stride length) and starting points of the runners, watch the race, and examine a graph of the time-versus-distance relationship.Tierney, Cornelia, Ricardo Nemirovsky, Tracy Noble, and Doug Clements.MathematicsPhysicsEducation2014-11-06T14:47:09.089750Course Related MaterialsTables and Chairs
https://www.oercommons.org/courses/tables-and-chairs
Explore perimeter through rectangular and straight-line arrangements of tables, calculating the number of chairs needed to surround different arrangements. Tables and Chairs is one of the Interactivate assessment explorers.MathematicsComputing and InformationEngineeringEducation2014-11-05T10:10:03.752353Course Related MaterialsFunction Machine
https://www.oercommons.org/courses/function-machine-4
Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs. Function Machine is one of the Interactivate assessment explorers.MathematicsComputing and InformationSocial SciencesEducation2014-11-05T10:08:07.660969Course Related MaterialsComputing Speed
https://www.oercommons.org/courses/computing-speed
This lesson should take one day of class time. The purpose of this lesson is to develop an understanding of quadratic functions. We use the linear relation between distance, constant speed and time and the quadratic relation between the vertical distance of a falling object and time. From these, students will develop two new quadratic functions. The graph of one of these provides a picture of the physical phenomenon they have viewed.MathematicsGeosciencePhysicsEducation2014-11-02T13:20:21.856846Course Related MaterialsTrapping Lab - Linking Equations and Graphs
https://www.oercommons.org/courses/trapping-lab-linking-equations-and-graphs
This activity reinforcse the relationship between the solution to a system of equations and the intersection of their corresponding graph. Generally, students begin to solve systems by using graphing and then algebra. Once a student learns to solve the system by algebra, they often forget the connection to the graph. Hence in this lab, they will use algebra first and then graph their answers. The situation is one where the student is asked to determine where an animal trail intersects with an access road. Given linear equations which represent the placement of the access roads, assign each person/group one or more equations representing an 'animal trail'.MathematicsEducation2014-11-02T13:20:21.507579Course Related MaterialsLesson 21: Variation
https://www.oercommons.org/courses/lesson-21-variation
The lesson begins with a comparison of data tables and graphs of two functions, one directly proportional (cost of gas) and the other exponential (population), before a definition for direct variation is introduced. Direct variation is then linked to linear function (f(x)= kx)and the scaling property of direct variation is examined (i.e. a multiple of the independent variable will always correspond to that same multiple of the dependent variable). Direct variation with a power of x follows with a test for direct variation before indirect variation and indirect variation with a power of x are introduced.MathematicsComputing and InformationEducation2014-11-02T13:20:21.156870Course Related MaterialsLinear Functions Matching Activity
https://www.oercommons.org/courses/linear-functions-matching-activity
This activity is designed to help students connect various representations (verbal, tabular, graphical) of linear functions. The activity is designed to be completed in groups of 2. This would be an appropriate review activity towards the end of the unit on graphing linear functions.MathematicsEducation2014-11-02T13:20:21.054414Course Related MaterialsLesson 4: Slope
https://www.oercommons.org/courses/lesson-4-slope
Treating slope as a rate of change of two quantities with different units. There are both applications based examples and non contextual examples. Slope is found both from a graph and from the relationship between two quantities given in a context.MathematicsEducation2014-11-02T13:20:20.858085Course Related MaterialsTeaching Problem-Solving as a Habit of Mind
https://www.oercommons.org/courses/teaching-problem-solving-as-a-habit-of-mind
Pat Wagener of Los Medanos College describes an inquiry project with his Developmental Math students: "Through my classroom inquiry into teaching problem-solving, I have shown that students can learn to solve problems in ways that help them develop "habits of mind" with problem solving processes with the following features in the instructional plan: Students get lots of problem solving practice, with an emphasis on long term learning of habits of mind Students are introduced to the idea of multiple representations early, and this approach is reinforced through the curriculum materials in meaningful ways and in all aspects of the course Students have many opportunities to share their problem solving publicly through board work "MathematicsEducation2014-11-02T13:20:20.682900Course Related MaterialsLesson 5: Equations of lines
https://www.oercommons.org/courses/lesson-5-equations-of-lines
Begins with the slope-intercept equation of a line and then introduces the coordinate formula for slope before the introduction of the point-slope equation of a line. Linear models are then revisited.MathematicsEducation2014-11-02T13:20:20.292431Course Related MaterialsBarbie Bungee Jump
https://www.oercommons.org/courses/barbie-bungee-jump
This project is excellent when you have completed the chapter on lines. It has students create their own data and graph it and then choose a reasonable line, which represents their data. From there, they find the equation of their line (this will be unique for each group since each will be working with a different Barbie Doll) and answer questions related to the bungee jumping habits of their doll using the equation.MathematicsEducation2014-11-02T13:20:20.176564Course Related MaterialsLesson 3: Graphs and Equations
https://www.oercommons.org/courses/lesson-3-graphs-and-equations
This lesson begins with linear equations and inequalities in 1 variable and then moves on to linear equations in 2 variables. Graphs of linear equations in 2 variables are introduced as "a picture of all its solutions." Exercises targeting the links between equations, solutions, points, and graphs follows, with the final activities focusing on use of a graphing calculator to graph equations and find coordinates. There aren't any application problems in this lesson.MathematicsSocial Sciences2014-11-02T13:20:19.991489Course Related MaterialsModeling Carbon Dioxide Levels
https://www.oercommons.org/courses/modeling-carbon-dioxide-levels
In this activity students will explore levels of Carbon Dioxide ( C02) in the atmosphere over time. There is concern that levels of C02 are rising; and finding a good mathematical model for CO2 levels is an important part of determining if this is attributable to human technology. Students draw a scatter plot, choose two points to create a linear model for the data, then use the model to make predictions.MathematicsEducation2014-11-02T13:20:19.813543Course Related MaterialsLesson: 18 Functions
https://www.oercommons.org/courses/lesson-18-functions
Beginning with linear functions, this lesson looks at functions of real world data defined by tables and graphs before moving into functions defined by equations. Function notation is introduced at the end of teh lesson and various examples are provided to get students familiar with the new notation.MathematicsEducation2014-11-02T13:20:19.441437Course Related Materials