Florida B.E.S.T. MA.912.AR.5.6

MathGrades 9–12Write, solve and graph exponential and logarithmic equations and functions in one and two variables.

The Standard

Given a table, equation or written description of an exponential function, graph that function and determine its key features.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students create an exponential graph from an equation, table, or situation. They identify growth or decay, intercepts, domain, range, horizontal asymptote, and end behavior.
What Mastery Looks Like: Students accurately plot points and draw a smooth exponential curve that approaches its asymptote. They identify growth or decay, intercepts, domain, range, asymptote, and end behavior from any representation.
Common Misconceptions: Students may treat exponential change as linear and connect table points with straight segments. They may assume the asymptote is always the x-axis or confuse the base with the y-intercept.
How to Assess It: Ask students to graph y = 3(1/2)^x - 2, then label its y-intercept, asymptote, domain, range, and end behavior.

Lesson moves

Plot y = 2^x for integer x-values with counters on a coordinate grid, then sketch the curve and mark its intercept and asymptote.
Compare y = 3(2)^x + 1 and y = 3(1/2)^x + 1, then write which features match and which differ.
Play feature-match cards by pairing equations, tables, graphs, and cards naming growth, decay, intercept, range, and asymptote.
Model phone resale value with V = 800(0.75)^t, graph five years, and explain the intercept, decay factor, and long-term behavior.

Keep exploring

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