CCSS.Math.Content.HSF-IF.A

CCSS.Math.Content.HSF-IF.A is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.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 r...

• CCSS.Math.Content.HSF-IF.A.2

  Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

• CCSS.Math.Content.HSF-IF.A.3

  Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

01

What Students Need to Do

Students decide whether a relation assigns exactly one output to each input. They use notation such as f(x) to evaluate functions and describe what inputs and outputs mean. They also identify suitable domains for functions in context.

02

What Mastery Looks Like

Students can identify functions from tables, graphs, equations, and input-output pairs. They can evaluate expressions such as f(4) and explain the input and output in context. They can state a reasonable domain for a given situation.

03

Common Misconceptions

Students may read f(x) as f times x. They may think repeated outputs are not allowed, although only repeated inputs with different outputs break the function rule. They may also confuse f(3) with the input rather than the output paired with 3.

04

How to Assess It

Exit ticket: Given g(x) = 2x - 5 and {(1, 4), (2, 7), (2, 8)}, find g(6), decide whether the relation is a function, and explain why.

1. 01

   Give pairs input-output cards and have students match each input to one output, then identify which arrangements represent functions.

2. 02

   Ask students to explain in writing why two inputs may share an output, but one input cannot have two outputs.

3. 03

   Play Function Machine Relay, where teams evaluate notation cards and check each answer by substituting the given input.

4. 04

   Model a taxi fare with f(m), where m is miles traveled, then have students interpret f(5) and choose a practical domain.

• CCSS.Math.Content.8.F.A.1

  Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input a...

• CCSS.Math.Content.HSF-IF.C.8

  Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

• CCSS.Math.Content.8.F.A

  Define, evaluate, and compare functions.