Interactive Notebook Pages For Algebra One Sequences Unit

We've been done amongst sequences inward Algebra 1 for a fleck now, together with hence that agency 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 close these dividers here.

This summer, I programme to play approximately together with endeavor to re-design our dividers to accept upward less newspaper together with hence I tin seat the private department headers on the same canvass of paper.  You tin come across i of the department headers on the right.

Here are our SBG skills for the unit:

This unit of measurement was definitely of the brusk together with sweetness variety!

We began past times talking close the dissimilar types of sequences.  Oklahoma standards exclusively advert arithmetics together with 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 action from final year's Algebra ii unit of measurement on Sequences together with Series to brand this Arithmetic, Geometric, or Neither? classifying activity.  My master programme was to brand this a color-coding activity, but I ended upward giving upward on that idea!  

For side past times side year, I recall I would similar to tweak it a fleck together with 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 action 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 respect the gradient together with determine what the y-intercept of the portion would be.

In the future, I volition hand students a tabular array to fill upward out.  I recall this volition remain the stress of going right away from sequence to graph.

I source learned close 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 together with poster laid from Numero Maths.

I recall I volition acquire rid of the DiNO portion of this side past times side yr because it seems likewise much similar a trick.

I created this exercise sheet.  Students were given a sequence.  They had to write a dominion together with usage that dominion to respect the 15th term, 50th term, together with 100th term.

Note to self: Title this every bit "Arithmetic Sequences" side past times side year.  It looks likewise much similar the i you lot made for geometric sequences!

I loved how nosotros derived the formula for arithmetics sequences past times noticing that it made a linear function.  It flowed together with hence nicely inward degree due to the fact that nosotros had spent together with hence much fourth dimension focusing on linear functions before inward the year.

Geometric sequences are my students' exclusively existent exposure to exponential functions inward Algebra 1.  So, I simply broke downwards together with gave my students the formula for finding the dominion for a geometric sequence.  It doesn't experience right, but I couldn't actually recall of how else to become close it.  If you lot receive got an thought for fixing this, delight percentage it inward the comments!

Practice canvass for writing rules for geometric sequences together with finding the eighth together with tenth terms.  See how similar it looks to the i for arithmetics sequences?  Definitely going to championship these for side past times side year!

After working amongst finding rules together with terms, I decided I all the same needed my students to roll their minds approximately 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 cast 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 survive posted.

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