Students learn what makes a relationship a function — each input produces exactly one output — by feeding inputs into a “function machine” and watching the rule turn each one into a single result.
Students will be able to…
Put a number into a rule and get exactly one number out, every time. What is a function, and how do you know a relationship is one?
Project this and choose a rule, then change the input. The machine applies the rule and gives exactly one output for each input.
Tap any phase to open the teacher moves and student actions.
A rule that turns each number into exactly one other — what is that?
Teacher models.
Class drives the Function Machine.
Students work with functions.
One function.
Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.
Understand that a function assigns exactly one output to each input.
Compare properties of two functions represented in different ways.
Interpret y = mx + b as a linear function.
Construct a function to model a relationship.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students look at an input-output table and figure out the function rule that produced it. A printable find-the-rule sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.