Wyoming Math F.IF.7e
The Standard
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph exponential and logarithmic functions, showing intercepts and end behavior.
2023 Wyoming Mathematics Content and Performance Standards · Analyze functions using different representations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students graph exponential and logarithmic rules from chosen points. They sketch simple rules by hand and use a graphing tool for harder ones. They mark intercepts and describe what the graph approaches at its ends.
What Mastery Looks Like
- A student can sketch y=2^x and y=log_2(x) from a table of points, then use a graphing tool to check a shifted rule. They label intercepts that exist, name any missing intercepts, and describe each graph near its asymptote.
Common Misconceptions
- Students may give y=2^x an x-intercept or y=log_2(x) a y-intercept. They may try to plot log_2(0) or draw either curve crossing its asymptote.
How to Assess It
- Exit ticket: Sketch y=2^x and y=log_2(x), label every intercept, and write what happens to each graph near its asymptote.
Lesson moves
Ways to Teach It
Give pairs grid paper and two colored pencils to plot y=2^x and y=log_2(x) from tables, then compare matching points.
Ask: Why does y=2^x have no x-intercept, while y=log_2(x) has no y-intercept? Have students write one reason for each.
Make cards with four rules and four graphs, including y=2^x+1 and y=log_2(x-1); students match them using intercepts and asymptotes.
Graph N(t)=100(2)^t and t(N)=log_2(N/100) for a bacteria culture; label each intercept and explain what it means.
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Printable F.IF.7e Worksheet
A ready-to-print activity worksheet aligned to F.IF.7e, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- F.LE.2
Construct linear and exponential functions using a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
- F.LE.1a
Verify that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.
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