In this lesson, students learn how to subtract rational numbers. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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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.
This unit is all about linear relationships and functions.
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.
This interactive exercise focuses on linear equations and how a positive or negative slope affects the graphical representation.
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.
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.
Determine the rate of change from tabular data then check understanding with a short quiz. [2:02]
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.
This study guide on lines in a coordinate plane covers key terms, what different line slopes look like, postulates about parallel and perpendicular lines, the slope-intercept equation, how to graph parallel and perpendicular lines, and how to find the shortest distance between a point and a line. It is available for download with free registration.
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Use slopes to determine if two lines are parallel.
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This concept teaches students about parallel lines in the coordinate plane, and how to use slopes to determine whether or not two lines are parallel.
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Use slopes to determine if two lines are perpendicular.
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This concept teaches students about perpendicular lines in the coordinate plane, and how to use slopes to determine whether or not two lines are perpendicular.
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Find the slope of a line given two points. Includes a video [5 min. 29 sec.], examples, and review problems along with an answer key.
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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.
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.
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]
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.
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.