Function Machines and Their Applications

Dave from the Polypad team demonstrates how to use function machines on Polypad. The video covers basic operations, exploring different tile types, advanced features like changing output types and using equations, and activities such as guessing the rule of a function. It also explains the invert feature for linear functions and how to connect multiple function machines to explore their interactions.

What is the main purpose of the video presented by Dave?

• To demonstrate the use of function machines on Polypad

• To introduce new geometry tools

• To explain the history of Polypad

• To teach basic algebra concepts

How can you add a function machine to the Polypad canvas?

• By using the equation editor

• By typing a command

• By dragging it from the algebra section

• By clicking on the geometry section

What happens when you input a tile with the value of 4 into an X+1 function machine?

• It outputs 6

• It outputs 7

• It outputs 5

• It outputs 3

How do you change the function of a machine to X/3?

• By double-clicking the function and typing X/3

• By dragging a new function onto the canvas

• By using the equation editor

• By clicking a button

What is the output when you input a fraction bar of 1/3 into an X/3 function machine?

• 1/27

• 1/3

• 1/6

• 1/9

What type of output is produced when a number not divisible by 3 is input into an X/3 function machine?

• A fraction bar

• A number card

• A prime factor circle

• A mixed number

How can you change the output type of a function machine to mixed numbers?

• By dragging a mixed number tile

• By going to more tools and selecting mixed number

• By changing the input type

• By using the equation editor

What tool can be used to input a number like 3.27 without building a tile?

• The prime factor circle

• The fraction bar

• The equation editor

• The geometry tool

What feature allows you to hide or show the expression of a function machine?

• The invert mode

• The tabulate function

• The equation editor

• The expression toggle

What is the purpose of the 'Guess My Rule' activity?

• To explore different tile types

• To practice basic arithmetic

• To guess the function rule based on inputs and outputs

• To learn about geometry