Museion Original · Algebra
developing · Ages 13+ · early secondary
Functions as Change
Read a rule as a relationship, then ask where its model stops.
Start the path 4 lessons · about 55 minutes
0/4Your progress
Four connected investigations
- 01Functions as Change: One Input, One OutputRead a function as a dependable rule that maps an allowed input to one output.Open
- 02Functions as Change: Read the RateFind how much an output changes for each unit of input, then separate that rate from a starting value.Open
- 03Functions as Change: Build and Bound a Linear ModelConnect a linear rule to its rate and initial value, then state what a model does and does not justify.Open
- 04The Transformation Lab: Move the CurveShape a parabola with the parameters a, h and k until it matches a target — and learn why the horizontal shift works backwards.Open
What this path asks you to reason about
- Evaluate a function and test whether each input has one output.
- Distinguish rate of change from an initial value.
- Build a simple linear prediction and state its range and assumptions.