Illustrative Mathematics
Illustrative Mathematics: 8.f Downhill
In this task, a car is traveling down a steep hill. Students are given the function for elevation versus distance from the start and are asked to find and explain the slope and intercepts of the graph. Aligns with 8.F.B.4.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Stuffing Envelopes
Eighth graders are asked to compare the income earned from two summer jobs stuffing envelopes. They are to draw graphs, write equations, and interpret the graphs. This task provides students with an opportunity to take the step from unit...
Illustrative Mathematics
Illustrative Mathematics: 8.ee Slopes Between Points on a Line
Eighth graders work with slopes and similar triangles in this problem and will learn why the calculated slope will be the same for any two points on a given line. Aligns with 8.EE.B.6.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Proportional Relationships, Lines, and Equations
In this task, 8th graders are shown the graphs of two lines with the same slope. They are given the equation for the first line and the coordinates of a point on the second and are asked to find the equation for the second line. Aligns...
Illustrative Mathematics
Illustrative Mathematics: 8.ee Coffee by the Pound
In this task about the cost of coffee, 8th graders find the cost per pound, how much can be purchased for one dollar, what the graph will look like, and what the slope means. Aligns with 8.EE.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Find the Change
In this task, 8th graders work with linear functions and learn how to discuss and make calculations with slope and x- and y-intercepts. Aligns with 8.EE.B.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Sore Throats, Variation 2
In this task where two saltwater solutions are compared, 8th graders must find equivalent ratios, write an equation that works for both solutions, draw the equation's graph, and interpret the slope as a unit rate. Aligns with 8.EE.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Who Has the Best Job?
This problem asks students to compare the incomes for two different jobs, draw their graphs, and explain whether the graphs alone would show who makes the most per hour. Aligns with 8.EE.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Comparing Speeds in Graphs and Equations
This task provides the opportunity for students to reason about graphs, slopes, and rates without having a scale on the axes or an equation to represent the graphs. Aligns with 8.EE.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Peaches and Plums
For this task, 8th graders are shown graphs of two linear functions and are asked to compare the costs per pound of two fruits without knowing their actual prices. To do this, they need to think about slope and unit rates. Aligns with...
Concord Consortium
Concord Consortium: Linear Equations: Ski Slope
Explore slopes of lines and see how slope is represented on the x-y axes.
Purple Math
Purplemath: Graphing Overview: Straight Lines
This resource provides an overview of graphing for various types of functions, instruction on graphing straight lines and also, includes advice on common mistakes made by students.
Khan Academy
Khan Academy: Algebra I: Point Slope Form
Write equations in point-slope form given two pairs of values, and convert the equation into slope-intercept form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Slope From Graph
Find the slope of a line on the coordinate plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Slope Intercept From Two Points
Practice finding the equation of a line passing through two points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Arithmetic: Subtraction of Rational Numbers
[Free Registration/Login may be required to access all resource tools.] In this lesson, students learn how to subtract rational numbers. Students examine guided notes, review guided practice, watch instructional videos and attempt...
CK-12 Foundation
Ck 12: Algebra: Graph Using Intercepts: Graphs of Linear Functions
[Free Registration/Login may be required to access all resource tools.] Students learn how to make and analyze graphs of linear functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
CK-12 Foundation
Ck 12: Analysis: Average Rate of Change
[Free Registration/Login may be required to access all resource tools.] Defining average rate of change and evaluating simple examples
CK-12 Foundation
Ck 12: Algebra: Families of Lines
[Free Registration/Login may be required to access all resource tools.] Find the equation of a line that is parallel or perpendicular to a given line.
CK-12 Foundation
Ck 12: Algebra: Equations of Perpendicular Lines
[Free Registration/Login may be required to access all resource tools.] This lesson covers determining if two lines are parallel, perpendicular, or neither and finding the equation of perpendicular lines to a given line.
CK-12 Foundation
Ck 12: Algebra: Equations of Perpendicular Lines
[Free Registration/Login may be required to access all resource tools.] Learn how to recognize and write equations of perpendicular lines.
Rice University
Rice University: Cynthia Lanius: Stressed Out: Slope as Rate of Change
This site may be used as a lesson for understanding graphs of functions and goes into slopes of a curve. The site helps students notice when a slope of a curve is increasing and decreasing and general interpretations of graphs.
Rice University
Rice University: Cynthia Lanius: Interpretando Graficas: La Tina Caliente
An example problem in Spanish of interpreting a graph. Gives the student many questions to think about, including slope and if the graph serves as a function. Does not offer solutions or answers. Includes link to the English version.
Alabama Learning Exchange
Alex: An Exploration Into Finding Slopes of Inclines
Students will work in small groups to analyze a topographical map of the Fiery Gizzard hiking trail on the Cumberland Plateau in southeastern Tennessee. They will use the map key to determine distance traveled and elevation gained to...