This resource contains a lesson on the slope and y-intercept of a line and how to interpret them in word problems.

Investigate the slopes involved in ski jumping. This video focuses on defining slope, showing how to calculate slope on a graph, with an expression, and positive and negative slopes.

Students explore building a pyramid, learning about the simple machine called an inclined plane. They also learn about another simple machine, the screw, and how it is used as a lifting or fastening device. During a hands-on activity, students see how the angle of inclination and pull force can make it easier (or harder) to pull an object up an inclined plane.

This video will give you examples of how to write equations in slope-intercept form. [11:10]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Explore the relationship between slope and the constant rate of change for linear functions. Assess learning with a quiz. [3:42]

Discover how math is required for quality construction when a Master Carpenter shares his experience and expertise. This video focuses on explaining slope as rise over run and shows how slope comes into play when building homes to take math out of the classroom and into real world problem solving.

This lesson demonstrates how to solve linear inequalities by graphing them on a coordinate plane. Includes short quiz. [8:36]

This lab demonstrates Hooke's Law with the use of springs and masses. Students attempt to determine the proportionality constant, or k-value, for a spring. They do this by calculating the change in length of the spring as different masses are added to it. The concept of a spring's elastic limit is also introduced, and the students test to makes sure the spring's elastic limit has not been reached during their lab tests. After compiling their data, they attempt to find an average value of the spring's k-value by measuring the slopes between each of their data points. Then they apply what they've learned about springs to how engineers might use that knowledge in the design of a toy that enables kids to jump 2-3 feet in the air.

Use the stairs in your home to understand slope in the real world. This video focuses on reinforcing your understanding of slope as rise over run and placing measurements into ratios.

Examine how a giant piece of art at the National Museum of Mathematics reveals some unexpected relationships between coordinates on a parabola. This video focuses on the relationship between negative and positive points on the parabola and their y-intercept.

This video lesson takes a look at questions related to parallel line equations. [2:03]

Students are introduced to the health risks caused by cooking and heating with inefficient cook stoves inside homes, a common practice in rural developing communities. Students simulate the cook stove scenario and use the engineering design process, including iterative trials, to increase warmth inside a building while reducing air quality problems. Students then collect and graph data, and analyze their findings.

Students overlay USGS topographic maps into Google Earth’s satellite imagery. By analyzing Denali, a mountain in Alaska, they discover how to use map scales as ratios to navigate maps, and use rates to make sense of contour lines and elevation changes in an integrated GIS software program. Students also problem solve to find potential pathways up a mountain by calculating gradients.

Students investigate the relationships between angles and side lengths in right triangles with the help of materials found in the classroom and a mobile device. Using all or part of a meter stick or dowel and text books or other supplies, students build right triangles and measure the angles using a clinometer application on an Android® (phone or tablet) or iOS® device (iPhone® or iPad®). Then they are challenged to create a triangle with a given side length and one angle. The electronic device is used to measure the accuracy of their constructions.

This advanced site discusses some of the research done and research techniques used in studies of the Monterey Canyon. Great graphics showing the position of the canyon relative to other features of the continental margin. Also topographic maps of the area are shown.

Events affecting the continental margin off Washington State are presented. This article comes from the "Thompson Times," an onboard newspaper from the UW's primary research vessel, the Thomas Thompson.

Students learn how to quickly and efficiently interpret graphs, which are used for everyday purposes as well as engineering analysis. Through a practice handout completed as a class and a worksheet completed in small groups, students gain familiarity in talking about and interpreting graphs. They use common graph terminology such as independent variable, dependent variable, linear data, linear relationship and rate of change. The equation for calculating slope is explained. The focus is on students becoming able to clearly describe linear relationships by using the language of slope and the rate of change between variables. At lesson end, students discuss the relationship between variables as presented by the visual representation of a graph. Then they independently complete a homework handout.

Take a look at this video tutorial to see how to find the slope of a line that is perpendicular to a given equation by finding the opposite reciprocal of that slope. [4:09]

Check out this tutorial to practice finding the rate of change using a graph. [4:51]

All vertical lines have the same slope. Watch this tutorial to learn all about vertical lines including their slope and what the equation of a vertical line looks like. [4:30]