Thursday, February 22, 2018

Personalized Unit Process: Equations and Inequalities

Have you been thinking about personalized learning, but not sure where to start? Are you unsure if you think it’s actually better for your students? I just wrapped up my first truly personalized learning unit (and yes, it’s February) on Equations and Inequalities in my high school Integrated Math 1 classroom and wanted to share EVERYTHING with you, including my results!

Timeline
18 instructional days

Process
1. Give a Pre-Assessment
This is a short and targeted assessment to see what students know. Download mine on Equations here.

2. Create Groups
The evening I gave the pre-assessment I sorted my students into 3 groups.
A - Students who had no idea what to do even on one-step equations
B - Students who knew the basics (one and two-step equations), but made some numeracy or on multi-step equation errors.
C - Students who showed complete mastery
Make a slide or doc with the grouping so you can display it and communicate it clearly to students.

My personal experience: In one of my classes of 38 students, my breakdown was as follows. Group A, 18 students. Group B, 14 students. Group C, 6 students.



3. Find Material
You need to find accessible and engaging materials for all three groups. I think this is the part that deters most teachers, but the internet and websites like Khan Academy and IXL have made this pretty easy!

My personal experience: Group A would be working with me so I didn’t need to worry about their material as much (we did a worksheet one problem at a time on white boards). Group B worked on multi-step equations first on Khan, then practiced on IXL. When they scored an “80 smart score” on IXL they earned “credit” for that assignment by placing a sticker on our class tracking board. I assigned Group C material for the next unit and encouraged them to work at their own pace using their tools (the internet) to help. Blow is a picture of my assignment log in my google classroom.

Google Classroom Assignment Log

4. Display and Teach Expectations
Make your behavior and work expectations clear to students. Have accountability for the work and consequences for misbehavior. Below is a picture of the slide I showed to students to make sure I was communicating my expectations clearly.



5. Teach Unit
Decide on your pacing for the unit. My school is on a modified block schedule so I did the split only on block days. On the other days we worked as a whole class due to my chromebook issue (24 chromebooks and 38 students in class).

Group A (students with me): They had a white board and we went through a worksheet one problem at a time until they showed mastery. Then they switched to working on the computer

Group B: Started on the computers working on our Khan and IXL assignments. When they scored an “80 smart score” for that assignment they got a sticker on our tracking board (shown below) which then correlates to their grade. When the groups switched, they worked on a worksheet and I checked their answers.

Group C: Stayed on the computer the whole time. I encouraged them to get as far into the next unit as they could. These are mainly students who are highly motivated and on-task workers. I didn’t have any behavior or work issues with them.

Assignment Log Tracker

I had Groups B and C move to the back of the classroom and move their chairs to the other side of their desks so I could see their computer screens while Group A came to the front to get instruction from me.

Groups B and C in the back with screens facing front, Group A in front working with me on a worksheet

6. Assess
The moment of truth! How did my students do? I’m about to share my data with you! But first, you have to understand my situation…

I teach two periods of “at grade level” 9th graders. They all passed 8th grade math. They received the personalized learning unit described here.

I teach four periods of “below grade level” 9th graders. They all failed 8th grade math, some also failed 6th and 7th grade math. They received regular whole class instruction for the entire unit (since none of them new how to solve equations on the pre-assessment).

My personalized learning unit students had an average score of 74.9% on their summative assessment for the unit. My regular whole class unit students has an average score of 60.1% on the exact same assessment.

While both groups can’t truly be considered “equal” since they have very different starting points, I find this data to be intriguing and supportive of the personalized approach.




7. Reflect
Was personalized learning better for my students? Was it better for me as a teacher? Is this reproducible for future units? How could I improve this unit? How could I improve this process?

So many questions after trying something new in your classroom! Here are my big takeaways of this personalized learning unit:

1) I think my students felt more respected as learners.
My students enjoyed knowing that they were getting the help they needed or the freedom they wanted to work where they were. I feel like our classroom culture grew more positively over the course of this unit and they could no longer make comments like, “I already know how to do this” or “You never taught me this.” Personalized learning removed that barrier in my opinion, freeing up more time and mental availability to learn content.

2) I feel like I lost some productivity.
It’s hard to monitor students when half are working with you and half are on the computers. Not many students finished all of the assignments on the computers and I expect more than a few were “wasting time” when their groups were on the computers. This may be a cost of personalized learning, but do the benefits outweigh them?

3) I would like to try it again.
Our next unit is systems of equations and it’s new to every student so I won’t have as well defined gaps in learning to create different groups. My plan is to group students according to how they do on formative assessments and split the class that way.





I feel proud and accomplished that I tried something new and excited that I even saw some success! Stay tuned for more on my journey!

Tuesday, January 9, 2018

Why Should I Pass Algebra? A Classroom Culture Building Activity


Download Materials
- Article (edited) Originally posted on Knowre
- Optional: Paragraphs (if you need more structure than a whole article)

Purpose
Have students discover the importance of passing Algebra 1 and what it means for their chances of graduating high school on time. Especially good for remedial math students.

Outline
1. Explain the “Say, Mean, Matter” graphic organizer to them.
If you’re not familiar with SMM, that’s fine! Students will select 4 quotes from the article that are interesting to them.
- In the SAY column, they write the quote.
- In the MEAN column, they summarize the quote in their own words.
- In the MATTER column, they write why that quote matters to them (why it was interesting to them).

2. Read and annotate text.

3. Fill out say, mean, and matter columns.

4. Reflect and Connect
DO NOT SKIP THIS STEP. It is by far the most powerful! I asked my students to think-write-pair-share 3 things at the end (one at a time):
- Summarize the entire article. Why do you think I am having us read this?
- Do you agree or disagree with the what the article is saying
- What is one question that came up for you while reading this?

I was blown away with my student’s takeaways! They tuned right into what I was hoping they would. They left class more encouraged and passionate about passing this class!

Time Estimate
Reading: 6 minutes
Writing: 8 minutes
Reflecting: 10 minutes

Total time: ~ 25 minutes

Monday, December 18, 2017

4 Ways to Reduce Teacher Stress


August through Mid November 2017 were some of the most stressful and discouraging months of my professional life. I had just moved from California to Colorado, went back into the classroom after being an instructional coach for three years, I was teaching a slightly new content (Algebra 1 to Integrated Math 1), and did I mention I was back in the classroom after 3 years of not having to lesson plan and grade? The adjustment to a new state and a new school was harder than it had ever been (even though I’ve changed schools two other times in my career). My happiness was plummeting and it was manifesting itself as resentment toward my job and if I’m being honest, my students, which is NOT the kind of teacher I know I am. Something had to change. And thankfully the weeks following Thanksgiving break have been my best weeks! So what did I do differently? Check out 4 lessons I’ve learned about how to reduce the inevitable stress we all face as teachers.

1. Abundance Mindset


Have you heard of scarcity vs abundance mindset? If not, I would encourage you to listen to episode #163 of a podcast called, Confidence on the Go, by Trish Blackwell or do a google search on “Abundance Mindset.” As teachers, it’s easy to feel like there is never enough time. Have you ever had the following thoughts…

I’m never going to get all of this homework graded in time
I don’t even have tomorrow’s lesson planned
I don’t have enough time to go to the gym
I have so much to do I can’t even cook dinner tonight

I certainly have! But that is scarcity thinking. When those thoughts jump into my head, I have been choosing instead to combat them with an abundance mindset by taking a deep breath and saying, “I have an abundance of time.” It’s helping me not feel so stressed and get my priorities in order.

2. Make Time Off, Time Off


How many times have you had grand plans of all of the unit and lesson planning and organizing you would do over winter break only to feel crushed when you “didn’t get to it?” What if you allowed your time off to actually be time off? Sure there are a million things I could do over a break or 3 day weekend, but I would miss out on the things I want to do for myself.

This Thanksgiving I had the whole week off and I decided not to do any work. It was actually kind of hard and I was tempted to keep planning, but I also knew I needed to rest and do things I enjoy. When I went back to work after Thanksgiving break, I felt so refreshed and I knew I was a better teacher for my students after putting myself first during my time off.

3. Be Present


I find mornings as a teacher to be particularly stressful. You have to get to work on-time, make copies, prep for an activity, etc. It’s easy to let those to-do list items get the best of you and then you feel rushed and stressed when the students enter. Not a great way to start the day! To combat this, I’ve been using this app called Headspace to lead me through a 3 minute guided meditation each Monday (and sometimes other days as well) before students come in (but after I’ve made my copies). It has really been helping me feel present and ready to be my best when students come in.

There is also an organization called Mindful Schools that does mindfulness training for teachers to use either personally or with students in the classroom. I encourage you to check out a training.

4. Set Boundaries


Make yourself a priority. It will make you a better (and much happier) teacher in the long run. Plan your planning time, but also plan time for YOURSELF. Practice good self-care. I’ve experimented with a few different planning boundaries this year and my current plan has been the most successful for me.

My Lesson Planning Boundaries
Saturday
- Grade my 5 question weekly Formative Assessment and enter grades.
- Lesson plan Monday only.
- Do whatever I want to do that weekend: Explore my beautiful state of Colorado, hang out with friends, practice calligraphy, or just Netflix and chill.

Monday
- Stay after school to roughly plan out the whole week.
- Get as many lessons planned as I can for the week.

During the Week
- Plan the rest of my lessons during my prep periods.
- If needed, stay a little late another day only if planning for THIS week.

Nothing is set in stone, but having these boundaries has REALLY helped me find a better work-life balance this year! I encourage you to find a plan that works for you. This does sometimes mean that you might not have the most amazing lesson, but you will have a good enough lesson plan and most importantly, you will still have your sanity.

What are your tips on managing teacher stress? Leave a comment below!

Saturday, December 9, 2017

Working with Function Graphs


Have you heard of Mathematics Vision Project (MVP)? They provide a FREE Integrated Math 1, task based curriculum online. Did I mention it was free?

My current school doesn't have one set Integrated Math 1 curriculum so we pull from a few different resources, one of them is MVP. Module 3 is all about functions. One of my favorite tasks from this unit was Task 3.4. You can download the original here, or if your students are anything like my students, they need a little more structure. You can download my edited PDF here.

Purpose
- Get students talking about how to read story function graphs
- Introduce the idea of finding f(x) = __ and f(_) = x on a graph within a context
- Introduce what f(x) = g(x) means in context

Outline
- By far the most important part of any task is making sure the students understand the problem! After having a student read the prompt out loud, ask student to write-think-pair-share what they know and what they wonder after reading the passage and looking at the graph. It's AMAZING what your students will say! And it proves to you they understand the context before moving on.

Prompt for students after reading task and graph

My scribe of students responses to 'What do you know? What do you wonder" after reading the task and graph!
They are amazing thinkers!

- I gave students a few minutes to productively struggle with each question before we discussed it as a class. This does not mean I set a timer for 20 minutes and then checked in with them. I chunked it. I told them they had 1 minute for #2, then I put student work under the document camera, we came to agreement, then I reset the timer for #3, and so on.

Time Estimate
- This took about 35 minutes for my edited/reduced version.