DataDrivenTales
Free Fall 2026 NC Math 1 Weekly Support
Week 1
Thursday
Connect function notation, a real-world cost situation, and a graph you can use strategically.
Function Notation
Function notation is a way to name a function and describe its outputs. f(4) means the output of f when the input is 4.
Guided Example
Input: 4. Rule: multiply by 2, then add 5.
Context Problem
A gym charges a one-time joining fee of $30 and a monthly fee of $10. The function f(x) = 10x + 30 represents the total cost after x months.
Apply Skill
Use the function rule, check your answer, and then open the brief explanation when you are ready.
Calculate the total cost for 5 months.
If the total cost was $100, how many months have passed? Set f(x) = 100 and solve for x.
Use Tool
Use Desmos to graph y = 10x + 30.
Use the graph to check and understand the relationship, not just to get an answer.
Where does the graph cross the y-axis?
At what x-value does the graph reach y = 100?
Strategy Reflection
Thursday Exit Check
How many of the next 3 problems do you think you will solve correctly?
If f(x) = 3x + 2, find f(4).
If f(x) = 5x + 10 and f(x) = 35, find x.
A service charges a $20 starting fee and $8 per month. Which function represents the total cost after x months?
Knowing what you understand is part of learning what to try next.
End of Thursday