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Showing posts with label algebra. Show all posts
Showing posts with label algebra. Show all posts

Tuesday, March 10, 2015

Writing In A Middle School Math Class, a Necessary Addition

I love math and writing and when I get the chance to combine the two, I am ecstatically happy!  What I am not always best at is coming up with the prompt for students to write about.  We have implemented in our math classes a writing tracker assignment twice weekly and an essay each semester.  Coming up with a topic once a week is hard enough, twice, well that made my brain hurt!  So I did what I always try to do when I am needing something - I turned to TpT.  I found the most amazing resource made by Live Love MathMiddle School Math Writing Prompts { Content Specific }.  This set includes 70 (seventy!!) writing problems that cover 5 major content standards and are perfect for middle school.  I have also used them for my ninth grade algebra class and found them amazing!  My students liked the fact that the questions are printed on a half-sheet of paper so that the question is right there and doesn't require them to keep looking up to remember the question.  I really enjoyed the fact that the questions could be done in a few minutes and that I had a variety to choose from!  I encourage you to check them out!

Tuesday, March 3, 2015


Ever notice that the internet is flooded with elementary math ideas, but that finding quality secondary materials is virtually impossible.... LOOK NO FURTHER! I'd love to introduce you to the

Secondary Mathletes! mathlete image 9

livelovemath

Live.Love.Math - Danielle Krantz
Grades 5 - 9
TpT Store
Blog
Facebook
lindsay perro
Lindsay Perro
Grades 6 - 9
TpT Store
Blog
Facebook
button
MissMathDork - Jamie Riggs
Grades 4 - Algebra I
TpT Store
Blog
Facebook
Nautical Blog Button
Lessons With Coffee - Jameson Ivey
Grades 5 - 8
TpT Store
Blog
Facebook
4mulaFun_Logo
4mulaFun - Jennifer Smith-Sloane
Grades 4 - 9
TpT Store
Blog
Facebook
gina
All Things Algebra - Gina Wilson
Grades 6 - 11
TpT Store
Blog
Facebook
secondary math workshop
Secondary Math Shop
Grades 8 - 12
TpT Store
Blog
Facebook
to the square inch
To the Square Inch - Kate Bing Coners
Grades 4 - 9
TpT Store
Blog
Facebook
 hart
Teaching Math By Hart
Grades 5 - 8
TpT Store
Blog
Facebook
teaching high school math
Teaching High School Math - Jennifer Lamb
Grades 6 - 12
TpT Store
Blog
Facebook  
hodges  
Hodges Herald - Elizabeth Hodges
Grades 5 - 8
TpT Store
Blog
Facebook
21st century
21st Century Math Projects - Clint Clark
Grades 6 - 12
TpT Store
Blog
scaffolded science and math
Scaffolded Math and Science - Shana Donohue
Grades 8 - 11
TpT Store
Blog
Facebook
for the love of teaching math
For the Love of Teaching Math - Andrea Kerr
Grades 6 - 12
TpT Store
Blog
Facebook
rundes room
Runde's Room - Jennifer Runde
TpT Store
Blog
Facebook
math station central
Math Stations Central - Adrienne Meldrum
TpT Store  
While you are out looking at some new Mathletes in your grade level (and hopefully adding some great things to your wishlist), what are you looking for in resources? How can we help your further your teaching at the secondary level? We'd love to here from you HERE!

Sunday, February 22, 2015

Algebra Skills in the Geometry Classroom



There was a time when Geometry was seen as the stand alone class in the math family tree.  When I was in high school, you could take Geometry in 10th grade or 11th, before or after Algebra II.  Basically you took it where ever and whenever it best fit in to your schedule.  Geometry at time was all about shapes, angles and proofs.  There was little to no Algebra used and the little that you did need, you could sort of fake it.  Not anymore.  Now Geometry is Algebra based.  With the advent of constantly changing standards and continually changing standardized testing each  math class is now a continuation of the previous one, often relying heavily on mastery of the previous one to be successful in the next.

When I start a new school year in Geometry I spend the first day or two reviewing how to set-up and solve linear equations.  Why you may ask?  Simple.  Every new concept that we do from solving for parts of segments and angles all the way through surface area and volume, can and will, involve finding the value of a missing variable.  This is done more often than not through a linear equation, usually in one variable to the first power.  In regards to solving equations, we even use them as the basis for our proof structure.  When I begin to introduce how to write a proof, I don't start with Geometric proofs, I start with Algebraic.  I ask my students to solve multi-step linear equations and to tell me what they did in each step.  This not only gets them used to the structure, but also reinforces why they do what they do when solving a linear equation.

As we move further on into the school year even more concepts from Algebra begin to pop up.  One of the most prevalent is the use of the Cartesian Coordinate Plane.  We first encounter it when we are finding the length (distance) of a segment.  We graph the two endpoints and use the Distance and Midpoint formulas to find how long the segment is and where the halfway point is.  Since this is more of a review, then a new concept however, I teach it using Task Cards for the students to practice versus spending a day on it like it is a new lesson.  We continue using the coordinate plane and Algebraic Concepts when we graph triangles and quadrilaterals and use the distance, midpoint and slope formulas to classify our shapes.  The last time that we explicitly use the coordinate plane is in our unit on Transformations when we graph our figures and reflect, translate, rotate and dilate them using coordinates.  

The other major Algebraic concept that use consistently is square roots and radicals.  We first encounter them when we solve the distance formula but at point it is a pretty basic use.  Once, however, we hit our unit on Right Triangles and Trigonometry, squares roots stick with us for the rest of the school year.  We use them to solve our right triangles and to find missing pieces of quadrilaterals.  We also use them when finding the tangent, radii and diameter lines for circles and the surface area and volume of three dimensional figures.  
For these reasons, and so many more, I stress mastery of concepts, not just retention of them for a test in my Algebra class.  I am honest with my students and I tell them that this ideas will not "go away" once Algebra is done.  They will use them again in Algebra II and then will take Algebra I and II skills with them as they move into Geometry.  Additionally, we talk extensively about which of these skills will be useful in the workforce and why.  I try to be as transparent as possible with my students and normally it works in my favor.  What Algebra skills have you seen move beyond Algebra?

Thursday, February 5, 2015

Writing Equations of Lines Stations Maze - From Mrs. E. Teaches Math

Teaching Algebra is not always in my comfort zone.  After so many years of teaching Geometry, where my students have completed two years of Algebra before getting to me, I am used to reviewing and/or just applying the topics - not actually teaching them from scratch.  Over the past few years I have gotten better, but I still don't feel as creative as I would like.  In particular, my students are really struggle with writing the equations of lines from different sources.  I am struggle to make it more interesting and engaging.  Enter TpT and all of the wonderful resources on there!  Mrs. E gave me a copy of her Writing Equations of Lines Station Maze to try with them and it went fantastically!

 


This activity was a great way to not only get the students up and moving, but also was great for getting the students to talk to each other!  I am very big on math talk in the classroom and cooperative learning.  I started by posting the nine stations around the room in random order.  I paired off the students as they came in instead of letting them chose their own partners.  I liked that I was able to give each pair of students a different starting point since the cards do not have to be done in order.  This helped with congestion and also allowed me to keep students apart that are a little too talkative.

I also loved the fact that when the students found an answer it sent them to a different station but if they got sent backwards to someplace they had already been, they knew they need to go back and check their previous work to see where they got off track.  In this way, it really was a maze!  I also liked the fact that there were four possible answers and if they got something was not on the card, then they knew they needed to recheck their work.  In multiple ways this activity was really self-checking.

I encourage you to visit Mrs. E Teaches Math and pick up a copy for yourself.  Not only will your students be engaged, but you will be able to identify common misconceptions quickly!



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