CCSS.Math.Content.8.F.B
The standard
Use functions to model relationships between quantities.
Common Core State Standards for Mathematics
What this standard means
Students need to use a function to represent how two quantities change together. They should connect a table, graph, equation, and short story, then use one form to make predictions or explain a pattern.
Mastery looks like choosing a reasonable function model, naming the input and output, finding the rate of change and starting value when they make sense, and explaining what they mean. Students often mix up input and output, treat every graph as linear, or give an equation without checking whether it fits the situation.
Ways to teach it
- Hands-on activity: Give pairs stacked cup measurements, have them build a table, graph height versus cups, and write a matching equation.
- Discussion prompt: Show a graph of a phone battery draining, and ask, what is the input, output, rate, and starting value?
- Quick assessment: Give one table and one story, and ask students to match, write a function rule, and predict a new value.
- Real-world connection: Use a local taxi fare or bike rental price list to model total cost from time or distance.
Plan a lesson for CCSS.Math.Content.8.F.B
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Related standards
- CCSS.Math.Content.7.RP.A.2
Recognize and represent proportional relationships between quantities.
- CCSS.Math.Content.HSF-BF.A.1
Write a function that describes a relationship between two quantities
- CCSS.Math.Content.HSF-BF.A
Build a function that models a relationship between two quantities
- CCSS.Math.Content.HSF-IF.B.4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs show...