Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 1
In this task, students prove that linear functions grow by equal differences over equal intervals, and notice that in this case, the equal differences have the same value as the slope. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Taxi!
In this task, students explore the linear relationship between distance traveled and taxi fare cost. Aligns with A-REI.D.10 and F-LE.B.5.
Other
Mathway: Algebra Formulas
Comprehensive resource provides algebra formulas for exponents, absolute value, factoring Pythagorean Theorem, linear equations, quadratic formula, distance formula, midpoint formula, and slope of a line through two points.
Illustrative Mathematics
Illustrative Mathematics: F if Temperature Change
In this task, students examine the average rate of change of the temperature in Tucson, Arizona hours after midnight. Aligns with F-IF.B.6.
Illustrative Mathematics
Illustrative Mathematics: 8.g, G Gpe, G Srt, G Co Is This a Rectangle?
For this task, students are given four sets of coordinate pairs and are asked to determine if they represent a rectangle. Aligns with 8.G.A, 8.G.B, G-CO.B, G-GPE.B, and G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.f Downhill
For 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
In 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.