Recognizing Arithmetic Sequences equally Linear Functions

As I posted before, this is my showtime yr didactics sequences inwards Algebra 1. The novel Oklahoma math standards (OAS) include this standard:

A1.A.3.5 Recognize that arithmetics sequences are linear using equations, tables, graphs, in addition to verbal descriptions. Use the pattern, honour the side past times side term.

I succeeded inwards using equations in addition to graphs amongst my students. I didn't possess got them brand tables. And, I should possess got included verbal descriptions. I definitely possess got approximately room for improvement for side past times side year.

I did hand the measure past times having students write a dominion for the sequence that allowed them to honour whatever term inwards the sequence.

My students were a flake confused at showtime when it came to how to graph the sequence on the coordinate plane. Many students idea that our showtime betoken should locomote graphed on the y-axis. Now that I intend virtually it, having students brand a tabular array amongst "Term" in addition to "Value" equally the 2 columns would possess got taken assist of this because it would possess got turned the sequence into a laid upward of ordered pairs. I volition definitely add together a tabular array to these notes for side past times side year!

We examined the graphed points to honour the gradient of the line. This value went inwards forepart of x. Then, nosotros used the gradient to determine where the trouble would cross the y-axis. This gave us the residual of our rule.

After doing a yoke of these together, many of my students were working ahead without whatever prompting from me.

My students would in all likelihood possess got been perfectly happy to brand graphs inwards lodge to honour the rule, simply I decided to demo them a method of finding the dominion that doesn't demand making a graph.

I showtime learned virtually the DINO method for finding the nth term of an arithmetics sequence from the Miss Brookes Maths blog. A google search led me to this free worksheet in addition to poster laid upward from Numero Maths.

Almost all of my students ended upward using this method on their quiz. So, I guess my students establish it useful.

The files for this lesson are on my schoolhouse computer. I volition upload them equally shortly equally I acquire dorsum from Spring Break!