Interactive Notebook Pages for Algebra ane Sequences Unit

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Interactive Notebook Pages for Algebra ane Sequences Unit

We've been done amongst sequences inwards Algebra 1 for a flake now, in addition to thence that way it's fourth dimension to upload our interactive notebook pages for that unit.

As usual, the unit of measurement starts off amongst a divider.  You tin read well-nigh these dividers here.

This summer, I computer program to play or in addition to thence in addition to endeavor to re-design our dividers to accept upwards less newspaper in addition to thence I tin lay the private department headers on the same canvas of paper.  You tin encounter i of the department headers on the right.

Here are our SBG skills for the unit:

This unit of measurement was definitely of the curt in addition to sweetness variety!

We began yesteryear talking well-nigh the dissimilar types of sequences.  Oklahoma standards exclusively advert arithmetics in addition to geometry sequences.  I decided to include a category called "Neither" every bit well.  This allow me expose my students to the Fibonacci sequence!

I modified an activeness from terminal year's Algebra two unit of measurement on Sequences in addition to Series to brand this Arithmetic, Geometric, or Neither? classifying activity.  My master copy computer program was to brand this a color-coding activity, but I ended upwards giving upwards on that idea!  

For adjacent year, I recollect I would similar to tweak it a flake in addition to add together some Fibonacci sequences into this activity!  Maybe I should add together Fibonacci every bit a separate type of sequence for my students to learn.

I used this activeness from Mathspad (subscription required) as a quick quiz review.

Next, nosotros focused our attending on arithmetics sequences.

For each sequence, students had to do a graph.  They used this graph to discovery the gradient in addition to determine what the y-intercept of the business office would be.

In the future, I volition compass students a tabular array to fill upwards out.  I recollect this volition repose the stress of going take away from sequence to graph.

I start learned well-nigh 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 from Numero Maths.

I recollect I volition acquire rid of the DiNO portion of this adjacent twelvemonth because it seems likewise much similar a trick.

I created this practise sheet.  Students were given a sequence.  They had to write a dominion in addition to occupation that dominion to discovery the 15th term, 50th term, in addition to 100th term.

Note to self: Title this every bit "Arithmetic Sequences" adjacent year.  It looks likewise much similar the i y'all made for geometric sequences!

I loved how nosotros derived the formula for arithmetics sequences yesteryear noticing that it made a linear function.  It flowed in addition to thence nicely inwards course of written report due to the fact that nosotros had spent in addition to thence much fourth dimension focusing on linear functions before inwards the year.

Geometric sequences are my students' exclusively existent exposure to exponential functions inwards Algebra 1.  So, I merely broke downwardly in addition to gave my students the formula for finding the dominion for a geometric sequence.  It doesn't experience right, but I couldn't actually recollect of how else to become well-nigh it.  If y'all receive got an thought for fixing this, delight part it inwards the comments!

Practice canvas for writing rules for geometric sequences in addition to finding the eighth in addition to tenth terms.  See how similar it looks to the i for arithmetics sequences?  Definitely going to championship these for adjacent year!

After working amongst finding rules in addition to terms, I decided I even in addition to thence needed my students to wind their minds or in addition to thence how the graph of a geometric sequence differed from the graphs nosotros had previously made for arithmetics sequences.

After graphing the sequences, nosotros discovered that geometric sequences shape exponential functions.

These files are on my schoolhouse computer.  I volition upload them Tuesday when I acquire dorsum from our three-day weekend!  Here's the link where the files volition hold out posted.

Recognizing Arithmetic Sequences equally Linear Functions

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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!