CCSS.Math.Content.HSF-IF.C.7
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.
Common Core State Standards for Mathematics
What this standard means
Students need to turn equations into graphs and mark the features that matter. They should know which features fit each function type, such as intercepts, zeros, maximums, minimums, end behavior, asymptotes, and intervals where the function rises or falls.
Mastery looks like choosing a good window, graphing by hand when the equation is simple, and using a graphing tool well when it is not. Students often get stuck with scale, missing hidden features, mixing up x-intercepts and y-intercepts, or trusting technology without checking if the graph makes sense.
Ways to teach it
- Have students graph six function cards on graph paper, then label intercepts, turning points, and end behavior in colored pencil.
- Ask students to write: What does the graph show that the equation does not show quickly?
- Give one equation and ask students to sketch the graph, label three key features, and explain their window choice.
- Use a phone plan, ball height, or profit equation and ask students to graph it and identify the meaningful features.
Plan a lesson for CCSS.Math.Content.HSF-IF.C.7
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Related standards
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