Showing posts with label Geometric Sequences. Show all posts
Showing posts with label Geometric Sequences. 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

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.


Saturday, October 28, 2017

Monday Must Reads: Volume 8

It's difficult to believe it's already fourth dimension for some other Mon Must Reads!  Hope all of my the U.S. friends are having a lovely hateful solar daytime off for Labor Day. No affair where yous are located, I promise yous discovery an inspiring persuasion to utilization inwards your classroom!


Kay Kubena's twitter delineate of piece of work concern human relationship is amount of hands-on activities for collecting statistics data. If yous instruct AP stats (or non-AP stats!), her delineate of piece of work concern human relationship is a must-see. I'm non education stats this year, but my hubby is. So, I'm nevertheless on the lookout adult man for fun stats activities. Does the holler construct Lucky Charms stimulate got significantly to a greater extent than marshmallows than the Wal-mart brand? I kinda desire to purchase 2 boxes to discovery out for myself!

Image Source: https://twitter.com/KubenaKay/status/888495065794060288
Adrianne Burns has an awesome classroom display well-nigh what mathematicians do. The conversation it sparked amongst her tyke is PRICELESS. All students demand to know that making mistakes is business office of existence a mathematician!

Image Source: https://twitter.com/a_schindy/status/903647658383998976
FCMathLab shares a new-to-me collaboration chore for the start calendar week of school: the lawn tennis ball transfer activity. This looks super fun! I dear that students are given a bunch of options of materials to use.

Image Source: https://twitter.com/FCMathLAB/status/903079117356183555
Justin Guadagni adds a few to a greater extent than details well-nigh what the chore entails:

Image Source: https://twitter.com/MrGuads/status/903731837486452736
Amanda Thom shares a keen activity for education logic inwards geometry courses that involves looking at real-world advertisements. I peculiarly dear the Walgreens one!

Image Source: https://twitter.com/Athompson203/status/903747870268035072
I absolutely dear the questions that Damion Beth poses to his students on the start hateful solar daytime of school.

Image Source: https://twitter.com/DamionBeth/status/903423556033400832
Looking for a agency to organize groups inwards your classroom? FCMathLab shares a photograph from Mr. Guadagni's classroom of grouping clipboards as well as move lanyards. Brilliant!

Image Source: https://twitter.com/FCMathLAB/status/903071775659098112
I dear finding ways to stimulate got students sense things for themselves instead of merely reading well-nigh it or listening to me verbalize well-nigh it. There's no agency that I tin stimulate got my chemical scientific discipline students re-enact Rutherford's Gold Foil Experiment, but I mean value nosotros tin check inwards some fourth dimension for atomic bowling! Thanks Mrs. Geyer's Class for sharing!

Image Source: https://twitter.com/GeyerChem/status/837834118792687616
 Looking for a fun information collection idea? And peradventure a yummy one, too? Julie Steiner suggests stacking oreos.

Image Source: https://twitter.com/TollesSteiner/status/903285473531109376
I dear how Jackie Stone helped a geometry work come upwardly hold out inwards her classroom past times posting points or thence the room that corresponded amongst a work they were solving.

Image Source: https://twitter.com/MathEdJax/status/903324446462791682
Jazmine Castanon created a beautiful increase mindset display inwards her classroom using Famous Failures. I mean value this would hold out beneficial for every classroom. I dear that students read well-nigh the failure start as well as then elevator the flap to break the success the someone afterward became!

Image Source: https://twitter.com/jcast301/status/903049784168243201
Ms. Molley had her students exercise their ain categories to class shapes equally an introduction to geometry earlier looking at the classifications flora inwards the book.

Image Source: https://twitter.com/ms_molley/status/902890106666680320
Liz Mastalio's students created life plans inwards Advisory. I mean value this is an awesome agency to larn students thinking well-nigh the future. I also run across keen potential inwards this activity for working amongst percents!

Image Source: https://twitter.com/MissMastalio/status/902926200972218368
Destinee Johnson gave her students some Harvey related Dimensional Analysis questions to larn them thinking well-nigh how they tin attention the victims.

Image Source: https://twitter.com/msjohnsonchem/status/902931185113935873
Teaching geometric sequences? Have students model the behave on of a chain missive of the alphabet similar Randy Revels, Jr. did! I can't hold off to exercise this when nosotros larn to sequences inwards Algebra 1 this year.

Image Source: https://twitter.com/revs_87/status/902938678191935488

I dear this quote shared past times Jen Hornsby Beach. This needs to construct an appearance inwards my classroom!

Image Source: https://twitter.com/mrsjbeach/status/902725691573198849
Sue Runge tapes increase mindset statements to each students' desk. I dear the atmosphere this creates!

Image Source: https://twitter.com/BCLUWmath/status/902655902062436352
Julie Morgan shares a keen activity for practicing factoring - the Common Factor Clock.

Image Source: https://twitter.com/fractionfanatic/status/875394718703771648
Four Fours is ane of my favorite activities to exercise amongst students. So, I was super excited to run across this bulletin board created past times Paul Smith! I dear how this recognizes multiple solutions.

Image Source: https://twitter.com/drpas1001/status/901059003022811137

Math jokes are kinda my thing. I was super excited to discovery this novel math joke from Kacey Norojo.

Image Source: https://twitter.com/KcNorojo/status/901260962350727168