How do functions and formulas represent relationships in the real world, and how can we use them to solve problems?
Critical Thinking: Develop the ability to analyze and interpret functions and formulas within mathematical and real-world contexts.
Adaptive Perseverance: Persist in exploring various functions and formulas to find solutions to complex problems.
Communication: Effectively communicate the understanding of functions and their applications, both orally and in written form.
What distinguishes a function from a general relation, and how can we identify functions in various contexts?
How do we construct and interpret formulas to model real-world situations?
In what ways can altering a function or formula change the outcome in a real-world application?
Students will identify and classify functions versus non-functions from graphs, tables, and equations.
Skills Demonstrated
Students will be able to…
Define and identify functions from tables, graphs, and equations.
Use function notation to model and describe relationships.
Compare and interpret linear and nonlinear functions.
Apply formulas and function rules to solve real-world problems.
Explain the relationship between functions, slope, and proportional reasoning.
HSF.IF.A.1: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.
HSF.BF.A.1: Build a function that models a relationship between two quantities.
HSF.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs.
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