Understanding Functions and Rules

The video tutorial introduces a Desmos activity called 'Guess My Rule', where students input numbers or words to deduce underlying rules. The activity is divided into three rules: Rule 1 involves number inputs and outputs, Rule 2 allows any number input, and Rule 3 uses word inputs to produce letter outputs. The tutorial also covers basic function concepts, emphasizing that each input should have a unique output. The teacher provides guidance and encourages students to explore and understand the rules, offering support if needed.

What is the main objective of the 'Guess My Rule' activity?

• To solve complex equations

• To guess the rule based on input-output pairs

• To memorize mathematical formulas

• To learn about historical mathematicians

In Rule 1, if you input 15 and get 5, which of the following could be a possible rule?

• Subtract 5

• Divide by 3

• Add 10

• Multiply by 3

What is the purpose of trying different numbers in Rule 1?

• To learn addition

• To practice multiplication

• To guess the rule by observing outputs

• To find the largest number

In Rule 2, what is unique about the inputs?

• Only even numbers are allowed

• All numbers are allowed as inputs

• Only prime numbers are allowed

• Only negative numbers are allowed

What should you do if the rule in Rule 2 is not clear?

• Stop trying

• Email the teacher for help

• Use a calculator

• Guess randomly

In Rule 3, what do you input to get an output?

• Numbers

• Words

• Symbols

• Equations

If you input 'hello' and get 'P', what might the rule be based on?

• The last letter

• The number of vowels

• The number of letters

• The first letter

What should you do if Rule 3 is confusing?

• Use a dictionary

• Guess randomly

• Email the teacher for clarification

• Ignore it

What is the main challenge in Rule 3?

• Understanding equations

• Understanding numbers

• Understanding words and letters

• Understanding symbols

What is a function in mathematical terms?

• A rule that assigns random outputs to inputs

• A rule that assigns no output to any input

• A rule that assigns exactly one output to each input

• A rule that assigns multiple outputs to one input