8th grade · Functions
Interpret the equation *y = mx + b* as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. *For example, the function A = s^2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line*.
4 interactive, auto-graded activities for 8th grade students practising 8.F.A.3. Mini Labs put the standard to work in a real scenario; Skill Practice builds fluency on the standard alone. Every one is randomized per student, so each learner gets their own numbers.
Students explore real-world linear relationships by analyzing graphs, identifying slope and y-intercept, and writing equations in slope-intercept form. Using real data from everyday scenarios, they model situations, create equations, and predict unknown values. Ideal for building conceptual understanding of y=mx+b.
Students compare real-world linear models by analyzing graphs, identifying slope and y-intercept, writing equations in slope-intercept form, and predicting values. Through an internet plan comparison, learners use equations to determine the better option for low and high usage, building strong conceptual understanding of linear relationships.
Students explore linear and non-linear functions by completing tables, observing graphs, and analyzing equations. They identify straight-line graphs, constant rates of change, and the structure of y=mx+b, then explain why other functions are not linear. Aligned to CCSS 8.F.A.3 and ideal for practice or assessment.
Labs run 2 to 4 class periods and connect several standards into one project.
Curbside is an interactive Grade 8 math lab where students run a food truck and use real math to decide if it makes money. Across 7 auto-graded worksheets they build revenue, cost, break-even, and profit, compare competitors, and weigh a marketing curve. A hands-on way to make expressions, equations, and functions feel real. Common Core aligned (8.EE, 8.F).
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