I find the most powerful way to help geometry students with inductive reasoning is to have them work through a series of algebra problems that require them to express algebraic patterns using formulas: for many of them, it is something of a review of algebra, but for many, it is their first exposure to actually using algebra to express linear and quadratic relationships.
I start off class with a 15-minute mini-lesson with an example of a linear and a quadratic (such as (n+1)(n-2)). After showing them how to do these, I have them work cooperatively together to work their way through the worksheet. They spend a lot more time actually working the problems, instead of just watching me do them!
This worksheet is intended to be written on directly.
I have included an answer key.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may personalize for your students.
Immediately before this worksheet, I use the worksheet named 'Introduction to Geometric Constructions (learn through play) with Answer Key' (http://www.teacherspayteachers.com/Product/Introduction-to-Geometric-Constructions-learn-through-play-with-Answer-Key-461346
), and immediately after this worksheet, I use the worksheet named 'Constructions Day 1: Duplicate Segments, Duplicate Angles, Midpoints with key' (http://www.teacherspayteachers.com/Product/Constructions-Day-1-Duplicate-Segments-Duplicate-Angles-Midpoints-with-key-366694