Showing posts with label Challenge Opportunity. Show all posts
Showing posts with label Challenge Opportunity. Show all posts
Differentiation Edition 2.2

Differentiation Edition 2.2



Differentiation in math education has always been one of my greatest passions, but I always had a difficult time finding differentiation resources that could clearly explain how to make it all work in a math classroom.  Over time I’ve learned from colleagues and developed some of my own strategies, and now I’d like to share with you what has worked for me and my students.

The focus of this edition of my differentiation series is on differentiating homework.  We’ll walk through why, what, and how in this post.


First of all, I do not differentiate every single day.  That’s exhausting, and in many cases, unnecessary.  However, I started differentiating homework based out of the needs of my students.  In my district, students begin tracking into regular versus accelerated classes in fifth grade.  Each year their placement is reevaluated and students can move up or down based on their in-class progress and test scores.  {Whether this is a great method or appropriate for our students is a topic for another day.}  However, the reality is that I end up with a handful of students in my standard eighth grade math classes who were in accelerated math for seventh grade but didn’t quite make the cut this year.  They would be bored stiff if I didn’t offer challenge opportunities for them, and parents really appreciate the extra acknowledgement that their student is a strong math student and needs more than what a standard {undifferentiated} class would provide.  And, on the other hand, I bet you have students with individualized education plans who required reduced or modified homework.  Alas, I began differentiating homework!


Differentiated homework depends on where I am sourcing the main assignment from for that night.  Sometimes I assign math problems out of our textbook.  In that case, I remove a few simple problems and select some above level problems from the same section in the book.  There are many overlapping problems between the two levels, but the students who need a little extra challenge have a couple different problems.  Remember that these are students who wanted to be in accelerated and hope to move back up the following year so they’re willing to do the challenging work.  Buy-in is really important here.  Find a way to sell it to your students if you feel this is something that they need.

Other times I assign a worksheet for homework.  In this case, I usually try to find two different worksheets that cover the same skill but one may be a bit more difficult like containing an extra step.  I have been known to pull out the ole cut-and-paste strategy to replace some problems with something more challenging by covering the problems up with new ones.  I also have recently been writing my own assignments that are differentiated.  Many of the problems overlap but there is a version that is more difficult than the other.

Differentiating for those students who need a shortened assignment can be as easy as circling the problems they need to complete on the worksheet or providing a shortened assignment from the textbook.  In the homework I am creating I provide a one-page version of the regular two-page homework assignment.  For students needing friendlier numbers, I recommend looking for a secondary worksheet option for them, possibly searching the grade level below.


Ok, so there are a few different homework assignments out there.  How do we make this work in the classroom?  Option 1: Post the answers on your website.  However, this isn’t my favorite strategy because a few issues can arise with this.  The main issue is that most of my students don’t bother to log on and check their answers.  They see it as an extra step that adds to the length of their math homework time, instead of understanding that it’s a vital component to make sure they are practicing correctly.  Another issue is that many resources, especially those purchased on Teachers Pay Teachers, can’t be posted online because of the terms of use.

So that brings us to Option 2: Project the answers on the board while students are working on the Problem of the Day or while you are checking the homework.  I typically start with the Problem of the Day projected on the board.  Then about halfway through checking homework, I switch to homework answers.  So by the time I have made it around to everyone (checking for completion only), students have completed the Problem of the Day and have checked their homework and they are ready to rock and roll – quickly going over the POD, asking homework questions, and moving on to the lesson for the day.

When we go over homework, there might be 1-2 questions, several questions, or crazy amounts of questions.  If there are only 1-2 questions, I answer them at the front board.  If there are several questions, I usually call up student volunteers to neatly show their work on the front board so students can look at the ones that they need to.  I elaborate with a brief explanation as needed.  If there are crazy amount of questions, then I might go over one, then have students work together to make corrections, and regroup to see if there are still additional questions.  We may be able to move on after the collaboration or we may need to do some re-teaching that day instead of the planned lesson.  I have not found having different assignments to be an issue here.  After all, students tune out in the same way if they don’t have a question on something that is asked.  The key is not to spend too much time on homework here so it’s not a waste for any student.  Lots of questions from a student or two equals after school help.  Lots of questions from the class means pause where you are and do some reteaching.

Do you teach 8th grade math and want all of this work done for you?  If your response is “yes please!” then check out my 8th grade curriculum that includes differentiated homework.


Catch up on the rest of the series for tons of ideas you can implement in your own classroom!

     


     





Comment below if there’s something else related to differentiation that you’d love to read about!

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Differentiation 1.3

Differentiation 1.3



My #1 passion for math education is differentiation, so once I started writing I couldn’t stop.  Check out my previous posts on the topic:

Today I want to wrap up my thoughts on differentiating based on readiness with 3 final strategies.

Leveled Take-Home Assessments
I believe strongly in using a spiraled review to help students develop fluency in their math ability.  At our school, we create and assign Skill Drills.  These graded take-home assignments, review material previously taught earlier in the year and in previous grades.  Topics for my eighth grade students can range from operations with fractions to solving two-step equations to writing an equation in slope intercept form given two points.  Students get the assignment on Friday and it is due the following Friday.  Graded for 25 points (1/4 of a test), students are able to ask questions throughout the week.  They can use their notes and other resources.  Of course, they need to show all of their work.  Now the differentiation comes in because I offer two different versions.  Version 1 is the standard Skill Drill that about 2/3 of my students will take.  Version 2 is the “challenge” version.  Students earn 2 extra points if they take on this version that has somewhat more “difficult” numbers or could have problems with an extra step or two.  This means that students can earn up to a 27/25, earning a couple of extra points.  This is something that you could do with any differentiated, graded assignment.  Offering a small reward for taking on a more challenging assessment can be a great motivator for students.

Choose Your Challenge
Wrap up of my thoughts on differentiating based on readiness with 3 final strategies.When I differentiate, I don’t usually offer extra credit.  Most times there is no incentive other than for students to challenge him- or herself at an appropriate level.  This can take some coaching, but I try to leave the choice up to the students when I offer a “Choose Your Challenge.”  Choose Your Challenge is when I have two different practice sheets available.  I allow students to select whether they are working on level or whether they need a little extra challenge because they’ve already mastered the topic.  Most of the time students chose wisely, but every once in while I coax students to reselect.  This works with classwork and homework, too.  Most nights I offer a regular homework assignment and a “challenge” assignment that has 1-3 problems that have been replaced with something a little more difficult.  I have another post about this here.

Strategic Grouping
For example, when we review combining like terms in the beginning of the year I break my students up into groups.Perhaps sometimes you want to plan the groups ahead of time instead of offering a choice.  My decisions are usually based on exit ticket results or scores on the previous quiz.  Group students up and give them their assignment or activity.  For example, when we review combining like terms in the beginning of the year I break my students up into groups.  Some groups are given the OMG game with positives only and others are given the challenging edition.  They don’t even need to know that they have a different game because the general premise is exactly the same.  Grouping students with similar ability can help all students work at a level that is appropriate for them at that time.  It’s important for groups to be fluid.  A student may struggle with one unit, but may be in the advanced group for another topic.  Groups always must be based on the needs of the students.  There’s a time and place for groups of mixed ability, too, but that’s a topic for another day.  J



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Differentiation 1.2

Differentiation 1.2



In my last post I shared 5 strategies to use when beginning to differentiate instruction in your classroom.  For now the focus is on readiness.  Today I will provide 2 concrete ideas for how you can differentiate for your high flyers in your math classroom.

Curriculum Compacting
Once you give a pre-assessment to students, you will need to consider the data you are presented with.  It’s possible that you could have students who can already do 100% (or almost 100%) of the tasks you will learn in the next unit.  What do you do then?  Curriculum compacting is when students can test out of a unit by demonstrating their fluency in the topic before the instruction even begins.  Many times there will be ways to challenge the students with the regular curriculum (more on this), but sometimes the topic can be really basic and worth moving on entirely. 

I will provide 2 concrete ideas for how you can differentiate for your high flyers in your math classroom.
There have only been two units that I have allowed curriculum compacting.  With the transitioning of new curriculums and students switching from accelerated to standard math, one year I had a group of students who had already learned the Pythagorean Theorem.  During the two days when I introduced the topic and we “discovered” it in class, I set the small group of students up in a nearby location with notes and practice with simplifying radicals.  This is not a topic that we typically cover in 8th grade, but we had just finished estimating radicals and I wanted to give them a stretch assignment.  They met with me each day at the beginning and end of class so I could provide some explanation.  This was very successful, however, I do not recommend giving this topic on an assessment unless you have spent some significant time checking for understanding.  It’s a great growing experience for these students.  In a more extreme case, I allow my students in accelerated math the opportunity to test out of the unit on exponent rules and polynomials.  Each year 1-4 students come to me having already mastered this topic.  It’s a tough one to extend so I designed an independent study.  Read on!

Independent Studies
When students have tested out of a unit, they will need a unit of their own.  This takes a ton of time and effort so I’ve only ever created one.  Our units on exponent rules falls right after systems of equations, so it seemed appropriate to design an independent study on matrices so that students can be introduced to matrices, matrix operations, and solving a system using an augmented matrix.  Yes, they will learn all of this in Algebra II, but I feel as though they are getting a nice basic foundation with me and then when they do take Algebra II in two years they can build on their prior knowledge.

Here’s how I set it up and run it:
1)      Map out a curriculum based on an Algebra II textbook I had laying around at home.
2)    Create a learning contract to send home to be signed by parents and students.  This outlines rules, objectives, assignments, and deadlines.
3)    Give students one day to complete an individual assignment that cover the topic(s) they did not get right on the pre-assessment.  (My cutoff for the pre-assessment is typically 93-95%)
4)    Give students one lesson per day to read through and a corresponding practice problem set to complete.  Students can work together and can use technology (when it’s available).
5)    Each day students turn in the assignment from the previous day and take their new assignment.
6)    I provide verbal or written feedback at least every other day to ensure they’re staying on top of their tasks.
7)    The assessment is open notes and they also complete a multi-part project.  The total points value equals the number of points they would have accumulated in class.  This independent study takes the place of those points.

This has been a huge success among my top students.  Parents really appreciate the extra challenge for their kids, too.  I put the majority of the responsibility on the students and see myself as a facilitator.  It is a lot of work, but once I set it up one time it was easy to use over and over again.

If you have any questions about these strategies, please feel free to leave a comment below or send me an email.  Next time I will share 3 more strategies for differentiating by readiness that can benefit all levels of students.

Click here for more:

Differentiation 1.3: Differentiating Based on Readiness – 3 More Ideas
Differentiation 2.1: Differentiating Note-Taking Based on Readiness


Also, be sure that you are subscribed to my blog to receive a free math resource and to stay updated on this differentiation series and other ideas.  Thank you!

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