The following two exercises are intended to provide practice in identifying and describing growth patterns

The following two exercises are intended to provide practice in identifying and describing growth patterns. Show work on graph paper
Consider the beading pattern shown below.

1. Identify the mathematical relationship you are
exploring in the task. This could be a sentence that
says “| am exploring the relationship between
_ and=

2. Describe in words how you would determine the
number of dark beads given the stage number.

3. Represent the mathematical relationship as an
algebraic equation, defining X and Y.

4. Show or explain geometrically why the equation
makes sense.

5. Graph the equation, including specific points and
the entire line.