Recognizing Arithmetics Sequences Every Moment Linear Functions

As I posted before, this is my commencement twelvemonth instruction 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, notice the side past times side term.

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

I did plough over the criterion past times having students write a dominion for the sequence that allowed them to notice whatever term inwards the sequence. 

My students were a flake confused at commencement when it came to how to graph the sequence on the coordinate plane.  Many students idea that our commencement signal should endure graphed on the y-axis.  Now that I intend nearly it, having students brand a tabular array alongside "Term" in addition to "Value" every bit the 2 columns would own got taken attention of this because it would own got turned the sequence into a gear 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 notice the gradient of the line.  This value went inwards front end of x.  Then, nosotros used the gradient to determine where the trace of piece of occupation would cross the y-axis.  This gave us the remainder of our rule.

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

My students would likely own got been perfectly happy to brand graphs inwards gild to notice the rule, simply I decided to present them a method of finding the dominion that doesn't postulate making a graph.

I commencement learned nearly 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 gear 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 every bit presently every bit I acquire dorsum from Spring Break!

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