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This video lesson introduces and demonstrates how to find the average rate of change for a function. Students can check their understanding with an assessment. [11:31]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Sophia Learning
12/01/2023
Read the Fine Print
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The tutorial examines the slope of a line. Students learn about the mathematics concept through definitions and detailed examples.

Subject:
Mathematics
Material Type:
Provider:
Anne Arundel Community College
12/01/2023
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Educational Use
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A tutorial on slope with many step-by-step examples. The tutorial clarifies what slope is, how to find slope between two points on a graph, and how slopes of parallel and perpendicular lines are related.

Subject:
Mathematics
Material Type:
Module
Provider:
West Texas A&M University
10/03/2023
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Educational Use
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This unit is all about linear relationships and functions.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
BetterLesson
12/01/2022
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Educational Use
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Students are introduced to the "Walk the Line" challenge question. They write journal responses to the question and brainstorm what information they need to answer the question. Ideas are shared with the class (or in pairs and then to the class, if class size is large). Then students read an interview with an engineer to gain a professional perspective on linear data sets and best-fit lines. Students brainstorm for additional ideas and add them to the list. With the teacher's guidance, students organize the ideas into logical categories of needed knowledge.

Subject:
Engineering
Mathematics
Science
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Aubrey Mckelvey
09/18/2014
Read the Fine Print
Educational Use
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Given a line, learn how to find the equations for lines that are perpendicular and parallel to it. This tutorial offers several example graphs and problems as well as practice problems for you to work through when you're ready.

Subject:
Mathematics
Material Type:
Module
Provider:
West Texas A&M University
Provider Set:
College Algebra
08/28/2023
Read the Fine Print
Educational Use
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This interactive exercise focuses on linear equations and how a positive or negative slope affects the graphical representation.

Subject:
Mathematics
Material Type:
Interactive
Provider:
PBS LearningMedia
11/06/2023
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Educational Use
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Students learn about the role engineers and mathematicians play in developing the perfect bungee cord length by simulating and experimenting with bungee jumping using washers and rubber bands. Working as if they are engineers for a (hypothetical) amusement park, students are challenged to develop a show-stopping bungee jumping ride that is safe. To do this, they must find the maximum length of the bungee cord that permits jumpers (such as brave Washy!) to get as close to the ground as possible without going "splat"! This requires them to learn about force and displacement and run an experiment. Student teams collect and plot displacement data and calculate the slope, linear equation of the line of best fit and spring constant using Hooke's law. Students make hypotheses, interpret scatter plots looking for correlations, and consider possible sources of error. An activity worksheet, pre/post quizzes and a PowerPoint® presentation are included.

Subject:
Mathematics
Physical Science
Physics
Science
Statistics and Probability
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Marc Frank
02/17/2021
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Educational Use
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Student groups are provided with a generic car base on which to design a device/enclosure to protect an egg on or in the car as it rolls down a ramp at increasing slopes. During this in-depth physics/science/technology activity, student teams design, build and test their creations to meet the design challenge, and are expected to perform basic mathematical calculations using collected data, including a summative cost to benefit ratio.

Subject:
Engineering
Physics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
09/18/2014
Read the Fine Print
Educational Use
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Determine the rate of change from tabular data then check understanding with a short quiz. [2:02]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Sophia Learning
12/01/2023
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Use this activity to explore forces acting on objects, practice graphing experimental data, and introduce the algebra concepts of slope and intercept of a line. A wooden 2 x 4 beam is set on top of two scales. Students learn how to conduct an experiment by applying loads at different locations along the beam, recording the exact position of the applied load and the reaction forces measured by the scales at each end of the beam. In addition, students analyze the experiment data with the use of a chart and a table, and model/graph linear equations to describe relationships between independent and dependent variables.

Subject:
Engineering
Mathematics
Physics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Ivanka Todorova
Jed Lyons
09/18/2014
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Educational Use
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This resource presents a complete and detailed look at linear regression. This guide provides lots of details and graphs to explain each concept.

Subject:
Mathematics
Material Type:
12/01/2023
Read the Fine Print
Educational Use
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Students learn about an important characteristic of lines: their slopes. Slope can be determined either in graphical or algebraic form. Slope can also be described as positive, negative, zero or undefined. Students get an explanation of when and how these different types of slope occur. Finally, they learn how slope relates to parallel and perpendicular lines. When two lines are parallel, they have the same slope and when they are perpendicular their slopes are negative reciprocals of one another.

Subject:
Algebra
Engineering
Mathematics
Science
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Aubrey Mckelvey
09/18/2014
Read the Fine Print
Educational Use
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Students watch a video lesson about how to graph a linear equation in point-slope form. The tutorial includes detailed examples. Accompanied by a short multiple-choice quiz. [3:54]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Sophia Learning
12/01/2023
Read the Fine Print
Educational Use
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This lesson plan helps students understand how to graph ordered pairs on the coordinate plane. Lots of resources are available to teachers and students at this website.

Subject:
Mathematics
Material Type:
Lesson
Provider:
Shodor
08/07/2023
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Educational Use
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Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. In addition to trigonometry, students explore a clinometer app on an Android® or iOS® device and how it can be used to test the mathematics underpinning trigonometry. This prepares student for the associated activity, during which groups each put a clinometer through its paces to better understand trigonometry.

Subject:
Engineering
Mathematics
Science
Trigonometry
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Scott Burns
09/18/2014
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Educational Use
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Students see that geometric shapes can be found in all sorts of structures as they explore the history of the Roman Empire with a focus on how engineers 2000 years ago laid the groundwork for many structures seen today. Through a short online video, brief lecture material and their own online research directed by worksheet questions, students discover how the Romans invented a structure known today as the Roman arch that enabled them to build architecture never before seen by humankind, including the amazing aqueducts. Students calculate the slope and its total drop and angle over its entire distance for an example aqueduct. Completing this lesson prepares students for the associated activity in which teams build and test model aqueducts that meet specific constraints. This lesson serves as an introduction to many other geometry—and engineering-related lessons—including statics and trusses, scale modeling, and trigonometry.

Subject:
Geometry
Mathematics
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Lauchlin Blue
Malinda Zarske
Nathan Coyle
02/17/2021
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Educational Use
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Students use a given graph to investigate the average rate of change and slope of the tangent line. The practice problem is available in PDF format.

Subject:
Mathematics
Material Type:
Interactive
Provider:
MathGraphs
12/01/2023
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Educational Use
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While learning about volcanoes, magma and lava flows, students learn about the properties of liquid movement, coming to understand viscosity and other factors that increase and decrease liquid flow. They also learn about lava composition and its risk to human settlements.

Subject:
Engineering
Mathematics
Physics
Science
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Brittany Enzmann
09/18/2014
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Educational Use
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Students measure the permeability of different types of soils, compare results and realize the importance of size, voids and density in permeability response.

Subject:
Engineering
Mathematics
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Eduardo Suescun
Magued Iskander
Russ Holstein
Ryan Cain