Showing posts with label Fibonacci Sequence. Show all posts
Showing posts with label Fibonacci Sequence. Show all posts
Friday, November 3, 2017

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.

Monday, October 30, 2017

Visiting the Science Museum of Oklahoma

Last weekend, I had a peril to watch the Science Museum of Oklahoma inward Oklahoma City.  I was tending a Steve Spangler Science Workshop (super awesome, yesteryear the way!), in addition to nosotros were given fourth dimension at luncheon in addition to later the workshop to explore the museum.  I think visiting the museum every bit a nestling when it was known every bit the "Omniplex."  


I took a few pictures of math-y things I saw inward the museum, in addition to I idea I would portion them here.

I already shared this flick inward my post virtually educational activity sequences inward Algebra 1.  I introduced my students to the Fibonacci sequence inward class, in addition to thus I wanted to exhibit them when I saw it inward the *wild.*


When I saw this speed restrict sign alongside infinity printed on it, I had to accept a picture.


I fifty-fifty made my married adult man accept a flick of me side yesteryear side to the sign.


I used a robot arm to selection upwardly 1 of these balls.  It was much trickier than I expected!



These giant dominoes caught my eye.  How cool would it hold upwardly to cause got a laid inward my classroom?!?  I'm non certain what I would create alongside them, but I nevertheless mean value it would hold upwardly awesome.


My married adult man had to accept a plough at the robot arm, too.


The optical illusion room was super-cool.

Which cerise describe of piece of occupation is longer?



Can you lot notice the hidden image?


How many legs does the elephant have?


Which segment is the longest?



There was a super-long hallway alongside these optical illusions painted on it.  I decided that these would brand awesome classroom decor!




I flora the tile inward the bath to hold upwardly inward a rattling interesting design.  My married adult man tells me it's super-weird to accept a flick of the tile inward the bathroom...


I honey this bicycle statue.


Where did the bicycle go?!?


Some of these images made my caput hurt!


Color Blindness Tests


These colors written inward dissimilar colors puzzles are ever fun!


Looking at this slice made my caput hurt!


And this 1 was simply evidently fun :)


I'd honey to become dorsum 1 time again when I would cause got to a greater extent than fourth dimension to explore the museum fully.  We were walking closed to the museum alongside our boxes total of scientific discipline experiment goodies which made it difficult to participate inward a lot of stuff.

Kicking Off Sequences inwards Algebra 1

My Algebra 1 students conduct maintain only started their unit of measurement on sequences.  This is my showtime fourth dimension education sequences inward Algebra 1 because it used to hold upwards inward the one-time Algebra 2 standards.  For the by 4 years, I conduct maintain taught sequences in addition to serial inward Algebra 2, but I experience similar I ask to accept a unlike approach amongst my Algebra 1 students since we're alone doing sequences.  

We kicked off the department amongst a develop of definitions in addition to examples.    


I took this every bit an chance to innovate my students to the Fibonacci sequence for the showtime time.  We talked almost the Fibonacci sequence on Friday.  On Saturday, I was walking through the Science Museum of Oklahoma, in addition to I saw the Fibonacci sequence inward a display.



I took a pic to demo my students because I'm non certain that they believed me when I told them how famous the sequence is.

Next, I gave my students 21 sequences.  Students had to uncovering the adjacent term inward each sequence.  Then, they had to form out the sequence every bit arithmetic, geometric, or neither.


I was looking through the resources available from MathsPad, in addition to I constitute this puzzle inward their sequences section (subscription required for this specific resource).  This puzzle has students uncovering the adjacent ii damage inward a sequence in addition to form out the sequence every bit arithmetic, geometric, or Fibonacci.  It was fun to conduct maintain the Fibonacci Sequences inward this puzzle since the practise canvass I made didn't conduct maintain whatsoever Fibonacci sequences.  


Files (except for the Mathspad file) are uploaded here.