CCSS.Math.Content.HSF-LE.B.5
The standard
Interpret the parameters in a linear or exponential function in terms of a context.
Common Core State Standards for Mathematics
What this standard means
Students need to explain what the numbers in a linear or exponential function mean in a real situation. For a linear model, they should name the starting value and rate of change. For an exponential model, they should name the starting value and growth or decay factor.
Mastery means students can connect each parameter to units and context, not just say “slope” or “y-intercept.” They should explain, for example, that 1.08 means an 8% increase each year. Common trouble spots are mixing up factor and percent change, ignoring units, and treating exponential change like repeated addition.
Ways to teach it
- Give pairs cards with equations and contexts, then have them match each parameter to a labeled sticky note explanation.
- Ask students to write two sentences explaining what each number in f(t)=250(0.92)^t means for a used car's value.
- Use an exit ticket with one linear and one exponential function, asking students to identify the starting value and change rate or factor.
- Show a phone plan bill or savings account example, then have students explain what the fixed fee, rate, or percent growth means.
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Related standards
- CCSS.Math.Content.HSA-SSE.A.1a
Interpret parts of an expression, such as terms, factors, and coefficients.
- CCSS.Math.Content.HSF-LE.B
Interpret expressions for functions in terms of the situation they model
- CCSS.Math.Content.HSA-SSE.A.1
Interpret expressions that represent a quantity in terms of its context
- CCSS.Math.Content.HSF-IF.B
Interpret functions that arise in applications in terms of the context