Completing an Input-Output Table
Completing an input-output table is a Grade 8 math skill from Illustrative Mathematics Chapter 5: Functions and Volume. Students substitute given input values (x) into a function rule and evaluate the expression to find the corresponding output values (y), building fluency with function notation and evaluation.
Key Concepts
To find the output $y$ for a given input $x$, substitute the value of $x$ into the function's rule and evaluate the expression.
Common Questions
How do you complete an input-output table?
Substitute each input value (x) into the function rule and evaluate the expression to find the corresponding output (y). Record each pair in the table.
What is an input-output table in 8th grade math?
An input-output table lists x-values (inputs) alongside their corresponding y-values (outputs) based on a function rule. It is used to explore and represent functional relationships.
How do input-output tables connect to functions?
Each row of the table represents an (x, y) pair that satisfies the function. The table shows multiple input-output relationships at once, making it easy to see patterns.
Where are input-output tables covered in Illustrative Mathematics Grade 8?
Input-output tables are part of Chapter 5: Functions and Volume in Illustrative Mathematics, Grade 8.