Showing posts with label instructional strategies. Show all posts
Showing posts with label instructional strategies. Show all posts

Sunday, January 17, 2021

New to Lesson Planning?



I work with teachers working on certification processes online.  Just about every course, I meet teachers who for whatever reason never had instruction on how to write lesson plans.  I put together a few resources for them ... thought they might be helpful to someone finding this blog. 


RESOURCE 1: Scholastic often has good ideas for new teachers. This outline for lesson planning is one of those ... written especially with elementary teachers in mind.

The New Teacher's Guide to Creating Lesson Plans

Which of the ideas on this page is helpful to you?

 

RESOURCE 2: This guide doesn't suggest a one "right" way but instead suggests ways to think about lesson planning.

Teaching Guide: Writing lesson plans

Which section in this guide was most helpful to you?

 

RESOURCE 3: Many of us are having to design online learning experiences. Using the 5Es to develop online learning activities is a great way to organize learning.

Tips for Designing an Online Learning Experience Using the 5 Es Instructional Model

The author at this site has several videos to assist in understanding. Which video resonated with you?

 

RESOURCE 4: Maybe you have heard of "backwards planning" but are unsure how it is different from traditional planning. Check out this post: Backward Design: The Basics.

What is your typical lesson planning method??


RESOURCE 5: Last, but not least - This website has some great information about how to write "transformational" lessons!  Which idea might you incorporate in your own lesson planning?

Thursday, September 20, 2018

Vocabulary Resources for the Secondary Math Classroom

Word Walls?  Vocabulary Games?  Poetry?  In math class!?!  YES!  Check out these ideas for building intentional, explicit instruction on math vocabulary.

Tuesday, September 11, 2018

Examples for Habit 3 Identifying Similarities and Differences

Critical thinking across all disciplines is one of our school initiatives.  We looked specifically at our questioning strategies this past year.

I was attracted to Pearse and Walton's book, Teaching Numeracy: 9 Critical Habits to Ignite Mathematical Thinking, because I want to incorporate habits that promote high levels of mathematical thinking. Their book is written with K - 8 in mind, so as I read, I'm interpreting their habits for the secondary  math class. 

This third habit, identifying similarities and differences, clearly connects to Marzano's work on high-yield instructional strategies.  There are four ways to identify similarities and differences: by comparing or classifying and creating metaphors or analogies.

I teach Algebra 2.  We spend most of our year on functions, identifying key attributes of each function, paying attention to transformations, and then applying those functions to problem situations.  Learning to note similarities and differences is essential to our work.

One go-to strategy is I notice, I wonder.  It is so easy to jump into a lesson without pausing, giving time for students to examine a graph, an equation, a situation.  It is in that pause, students can notice similarities, wonder about differences.

Another task that I used several times this past year is "Odd One Out."  I gave students four functions, expressions, equations and asked them, "Which one doesn't belong?"  We started with the Sesame Street clip to activate prior knowledge.  Students enjoyed the clip and sang along. I created a couple of my own "odd one out" activities and found a few of them in the book, The Algebra Teacher's Activity-a-Day, Grades 6-12: Over 180 Quick Challenges for Developing Math and Problem-Solving Skills.  Then sometime this year, MTBoS teachers started talking about the activities and Mary Bourassa created this website, Which One Doesn't Belong.  Check it out!  Add to it!  Invite your students to add to it!  One particular feature of the Odd One Out activities that worked best in my classroom and a definite difference from the Sesame Street version is that there are multiple correct answers.  Here is one example I used this year:

Student responses included:
  1. The quadratic function because it is the only one symmetrical about the y-axis.
  2. The exponential function because it is the only one with an asymptote.
  3. The exponential function because it is the only one that does not pass through the origin.
  4. The linear function because it is the only one with an unrestricted range.
  5. The linear function because is the only "straight" line.
  6. The linear function because it is the only one that can be found in the third quadrant.
  7. The square root function because it is the only one that is only found in the first quadrant.
  8. The square root function because it is the only one with a restrict domain.

Other comparison activities from this past year include:
Systems problems ... how are these alike and different
Factoring methods - I wrote about that activity here

A problem I didn't use this past year but one I want to use to use this year is "Intersections" at NRICH Maths. It gives 2 sets of simultaneous equations and asks: Explain why the solutions are so different and yet the pairs of equations are nearly identical. Can't wait to listen in on these discussions! I'm hoping that by looking at the equations more critically students will understand the significance of accuracy.  Minor changes in math can make huge differences!

Comparison activities fit well in the course I teach.  I struggle with creating metaphors and analogies.  If you use an activity for creating metaphors or analogies in secondary math will you share?

Pearse, M., & Walton, K. (2011). Habit 1: Monitor and Repair Understanding. In Teaching numeracy: 9 critical habits to ignite mathematical thinking. Thousand Oaks, Calif.: Corwin Press. 



Saturday, October 7, 2017

Favorite Education Books

Writing about my favorite education books is a tall order ... I love to read, and I especially love to read about education topics.

Here are a few of my favorites ... books that stay close by ... books that are ear-marked with sticky notes!

The Strategic Teacher: Selecting the Right Research-Based Strategy for Every Lesson by Silver,
Strong, and Perini
The subtitle ... selecting the right research-based strategy ... is why I like this book. I like the study of strategies and like knowing that lessons can be improved by using strategic structures. I wrote about using this book for lesson planning here, here, and here!


Total Participation Techniques: Making Every Student an Active Learner by Himmele and Himmele
Again ... it's the subtitle that caught my eye ... I want every student to be an active learner. In this book there are numerous structures for class activities, for getting students to participate! I wrote about ideas from this book here!


Teaching Numeracy: 9 Critical Habits to Ignite Mathematical Thinking by Pearse and Walton
Can I say it again ... the subtitle ... igniting mathematical thinking!  YES!  The authors make the connection between elementary reading strategies and math ... applying those strategies to mathematical thinking. While this book says it is written for K - 8, there are applications for secondary math teachers. I wrote about the critical habits in several posts ... you can find the posts here!

I've mentioned my favorite books on questions, questioning in more than one blog post. Here is that list:
  • Good Questions for Math Teaching: Why Ask Them and What to Ask, K-6 by Sullivan and Lilburn
  • Good Questions for Math Teaching, Grades 5-8: Why Ask Them and What to Ask by Anderson and Schuster
  • Good Questions: Great Ways to Differentiate Mathematics Instruction by Marian Small
  • More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction by Small and Lin
For inspiration, I read Teaching with Heart: Poetry that Speaks to the Courage to Teach by Intrator and Scribner.


Last I love picture books. These are not necessarily "education" books but they help me wrap my head around the simplicity and beauty of math. Picture books are great for introducing lessons. I've catalogued a number of books on this Pinterest page. Here are a few specific favorites!

I look forward to reading about everyone else's favorite education books!

Friday, August 11, 2017

Questions to Think Through While Planning

I've been thinking about lesson planning.  I've never written down the questions that passed through my mind as I planned. Now I'm trying to recreate those.

  1. What do I want students to be able to do at the end of the lesson? vocabulary? skill? application? depth of understanding?

  2. How will the vocabulary, skill or application in this lesson be tested?

  3. What is the rationale for this lesson? 

  4. What connections can I help students make to real world application? How can I help students visualize this math? 

  5. What came before? What will come after? How can I link this lesson with the others?

  6. What connections do I want students to make to previous work? What might those connections look like?

  7. How will I know students "get" this lesson? What questions will I ask? In what format will I frame those questions?

  8. At this point I often check the MTBoS search engine for blogs about this lesson. Is there a way to get at this lesson without direct explicit instruction? If so, how shall I set up students' learning? What notes will students need?  What do those notes look like? What practice will students need? What active learning strategy fits this lesson best? What differentiation is needed so that all students can participate?

  9. What problems will I use? Do they need to be scaffolded ... basic to difficult? What student errors can I anticipate? How can I use those anticipated errors to support students?

  10. What does the pacing look like in this lesson? Are there different activities? If so, what is the sequence of events? How will I handle transitions?

  11. What materials do I need to prepare? What does the room arrangement look like? If students are in groups - how will I organize those?

  12. What might plan B look like if any part of this lesson fails?

What questions do you think about as you plan lessons? Please share!

Wednesday, July 19, 2017

Blogosphere Good Ideas Curated with elink!

Today I learned about a new tool ... super easy to learn! I like it because instead of just sharing links to great ideas, I can add visual appeal!  Check out https://elink.io/ ... and think about how you can use it with your students! Also check out the SIX great sites curated here! You won't be disappointed!

Monday, November 21, 2016

Study Groups, Test Analysis ... Great Practice!

I had lunch with a friend today.  She teaches Pre-AP/TAG Pre-Cal.  She is one of those teachers you want to emulate!  She cares about her students - wants them to excel, wants them to not just enjoy math on any given day, but learn deeply so that they are well prepared for future courses.  We talked quite a bit about how challenging the job of teacher is.  From August to June the job consumes one's life; so much time is needed for thorough preparation, grading, and more that our families have to basically fend for themselves.  At times it seems too much to expect!  And yet, the best teachers I know give, and give more ... because of their students!

She shared a few activities in her classroom these past few weeks.  I asked her permission to share them with you.  I wish I had thought to implement these 😉

As in many classrooms this year, there is much conversation in her classroom about mindset, growth, and study skills.  She emphasizes the importance of study groups.  To encourage students to collaborate, she offers a few extra credit points on tests if students study in groups!  But you say, how does she know that happens?  The group must take a selfie, and a parent has to email the selfie to her confirming the study group... to earn their 5 points.  Students are collaborating, they are studying, and parents must be aware of their efforts!

What study skills do you emphasize in your classes?  Do you encourage study groups?

When those tests are completed, she makes notes about the mistakes students make.  What she does with those notes is amazing!  Instead of telling students what mistakes they made, she asks them to determine that for themselves.  She puts the common errors students made in a Google Form by question.  Students get their tests back, and they have to analyze their errors, and select from the form the errors they made on each problem.  Talk about error analysis, and dendrites multiplying!  Of course, if students can't find their own errors, then she is available to help them identify their mistakes.  She gives students several minutes in class to analyze their errors, submit them on her form. From this task students know what errors they are making and can sign up for tutorials as needed. The form not only helps students, it also helps the teacher.  She can then examine the errors made as noted on the form, determine the frequency and extent of the errors to inform her instruction.

How do your students analyze errors on tests?  

We talked about much more today and I'm certain there are many more strategies and activities that she has to share!  The notebook her students keep, the pre-work videos she makes, how she uses games in her class to maximize student learning ... maybe these are topics for another day ...


Saturday, November 5, 2016

4 Instructional Activities for Next Week!

Need an idea for next week ... can one of these be modified to work for you?

1)  Introducing a new function?  Start with a picture or video!  Ask ... Where's the math?  Students generate many, varied thoughts and questions about the math in the picture.  A few of my favorites include the blob jump (quadratics), ferris wheel (trig functions), tire tracks on road (square root functions), bouncing ball (exponential functions), and Grand Canyon Skywalk cantilevered walkway (rational functions).  Record students' questions and use them to get into the math of the day.  Other sources of videos include the 3-act resources!


2)  Mid-unit, use a vocabulary activity to get students thinking.  Give each student in class a word or a phrase; ask them to mingle to form sentences that represent mathematical fact.  Here are some phrases to use (I'm sure there are more - this is just a quick brainstormed list!).  Notice, the list has descriptive phrases - they can be applied to a wide variety of functions. Write them on half sheets of paper to distribute. Students who don't receive one of these phrases writes in the needed words that finish the sentences.  Give students a graph or don't - let them generate the graph that would illustrate their sentence.  Use often during the year to see proficiency increase with the phrases. Use their sentences to segue into the lesson.


3)  Take the numbers out of the word problems that you plan to use.  Replace them with a variable or even a box, circle, etc.  Ask students to show how to solve the problem without the numbers!  This emphasizes process over solution.
... Original Problem: The radius of each wheel of a car is 15 inches. If the wheels are turning at the rate of 3 revolutions per second, how fast is the car moving? Express your answer in inches and in miles per hour.
... Updated without numbers:   The radius of each wheel of a car is x inches. If the wheels are turning at the rate of y revolutions per second, how fast is the car moving? Express your answer in inches and in miles per hour.
... Students would explain ...
     2 * pi * x
    (y) (2 * pi * x) = inches per second
    (60) (y) (2 * pi * x) = inches per minute
    (60) (60) (y) (2 * pi * x) = inches per hour
    [(60) (60) (y) (2 * pi * x)]/ [(5280*12)] = miles per hour


4)  Post a random number generator (or use dice) to create unique problems for practicing graphing and transformations!  Give students a KEY ... see below ...

   
Stretch or Compress

1:  V Stretch by factor of 2

2:  V Stretch by factor of 3

3:  V Compress by factor 1/2 

4:  Reflect over x-axis

5:  H Stretch by factor of 1/2

6:  H Compress by factor of 2
 Horizontal Translation

1:  Horizontal left 1 unit

2:  Horizontal right 1 unit

3:  Horizontal left 3 units

4:  Horizontal right 3 units

5:  Horizontal left 5 units

6:  Horizontal right 5 units
 Vertical Translation

1:  Vertical up 1 unit

2:  Vertical down 1 unit

3:  Vertical up 2 units

4:  Vertical down 2 units

5:  Vertical up 3 units

6:  Vertical down 3 units


Thursday, September 8, 2016

Thursday Thoughts ... Student Engagement

Student Engagement

So many possibilities!

Students want to be known, for us to know that they are in the room, that they matter!

  • Greet them daily - high fives, fist bumps, handshakes 
  • Know their interests - ask about the game, the concert, the artwork, their weekend
  • Use that time right before the bell rings to chat a bit casually with students
Passion is infectious!
  • Students take cues from us ... get excited about the concepts
  • Use math riddles, puns, puzzles to generate interest
  • Love the work students do ... post it around the room!
Novelty and variety ... the spice of life!

Check out these resources ...
Global Math Department  Cultivating Mathematical Reasoning
Algebra's Friend  Phrasing to Engage All Learners in the Math Classroom  
Fawn Nguyen's Seven Deadly Sins
ASCD Article: Strengthening Student Engagement: What Do Students Want
Blog by a student:  4 Engagement Tips


Thursday, August 18, 2016

#MTBoSBlaugust Total Participation Techniques with 2 sample activities


I like the book Total Participation Techniques.  If you aren't sure you want to purchase a copy, you can preview the book online here.


There are numerous strategies in the book.  The authors are careful to explain how to ensure critical thinking with the use of the strategies.

Check these out ... I used Special Right Triangles for my examples.


Three 3s In A Row

How it works:
  • Prepare nine questions based on the content being learned and type them in a Three 3’s in a Row template (a 3 x 3 matrix).
  • Students walk around the room asking peers to explain one answer (only one answer) to them.
  • Students summarize their peers’ responses in their box –Don’t let students write in each other’s template or you’ll end up with a passive game of pass-the-paper. Only the owner of the template writes on his template. 
  • Students then find another peer to answer another question and repeat the process. Students can use any particular peer only once. 
  • Go over the answers as a class, by asking volunteers to share their responses.
Here is a sample activity:  Three Threes in a Row:  Special Right Triangles

Networking Sessions

How it works:
  • Prepare 1 to 4 prompts.  Ask students to reflect on the questions - maybe use a "quick-write."
  • Ask students to find someone with whom they have not yet spoken that day, and discuss their responses to the prompts.
  • After the given time, instruct them to find someone else with whom they had not spoken to discuss the prompts again.
  • Repeat until all prompts have been discussed.
  • Debrief by discussing key ideas shared.
Here is a sample activity: Networking and Special Right Triangles

Confer, Compare, and Clarify


How it works ... after taking notes ... 
  • Ask students to pair up to confer, compare, and clarify:
  • To confer, pairs should share a 1-sentence summary of what they believe to be the most important gist of the lesson
  • To compare, they read each other's notes and example problems ... make comments, add to their own notes
  • To clarify, they record any questions they still have.
  • Then pairs join together, and in groups of 4 discuss the questions they had.
  • In the debrief address any questions that groups could not resolve.

Key Word Dance**


How it works ... after taking notes ... 
  • Ask students to review their notes and select a set of words that are essential for understanding the concepts.
  • Ask students to create a Key-Word Dance ... organizing those words in poetry
  • In small groups share the poems and explain their organization.
  • Share a few in whole class debrief.
**This is one I want to try ... curious how it might turn out!

---------------------

The big idea throughout this book is not so much which strategy you use, but the level of questions used ... questions that foster critical thinking.  Check out this site for free chapters and tools from the book!


 Himmele, P., & Himmele, W. (2011). Total participation techniques making every student an active learner. Alexandria, Va.: ASCD. 

Tuesday, August 16, 2016

#MTBoSBlaugust Critical Thinking Strategies in the Math Classroom (Activities included!)

How do you encourage critical thinking in your classroom?

Critical thinking involves powerful verbs!
• Compare/Contrast • Classify • Categorize • Differentiate • Distinguish between/among • Evaluate • Justify valid reasoning • Analyze

For example a card sort activity could support thinking from each of the verbs above!

I love the Lead4ward strategies that were shared in some training I participated in a year or so ago. Check these out!

I chose a few of the strategies and created activities for a unit on the attributes of Quadratic functions.

He Said/She Said ... instructions and example ... link here for G Doc.





Odd One Out ... instructions and example ... link to Google Doc here.



Two other examples ... see instructions in the LeadForward file above.

Notice in each of the four examples students are talking math.  They are analyzing a prompt, but they are not just finding a solution.  Instead they are creating their own statements, justifying their thinking, recording questions, writing steps for themselves.

Will you share ideas for critical thinking activities in the comments??




Tuesday, August 2, 2016

#MTBoSBlaugust Why use card sorts? Two sorts included!



I originally wrote a post on card sorts in math class in July 2013.  It has had maybe the most hits of any of my posts!  I reposted that post in July 2014 ... and again, it had a lot of traffic.

This is not a repost!

There are many good reasons to use card sorts in class - especially with student partners.  Here are a few:

  • Card sorts provide structure around which students can discuss math concepts meaningfully
  • Card sorts require critical thinking; categorizing is a high yield strategy according to Marzano
  • Card sorts address multiple learning preferences ... visual, auditory, and kinesthetic
  • Card sorts help students identify patterns
In previous posts about card sorts, I included the link to this popular one comparing Linear vs NonLinear Functions.

In the last few week's Desmos has released it's addition to the Activity Builder.  It is easy now to create card sorts online.  I LOVE this feature!  Copying, cutting, losing cards are now a thing of the past!  It takes very little time to create the online card sort.

Tip:  Create your cards in PowerPoint so that you can add visual appeal using design and color.  Use the "Save as Pictures" feature which will automatically save each slide as a jpeg.  Then you can simply add images in the Desmos Activity Builder ... and your cards will look spectacular!  
I created a quick sample on true false statements about systems of equations.  You can find the simple activity here.  It would make a good pre-test to see what students already know or a quick formative assessment after an introductory lesson.  The actual pictures are at this link ... in case you want to create paper copies.

Card sorts are one of my favorite warm-up or opening activities because students can get started while I finish up those annoying administrative tasks, immediately talking math!




Wednesday, May 4, 2016

Crowdsourcing our Review #MTBoS30 - 4

I've been thinking of a way to review the functions we have studied this year.  

I've decided we will "crowd-source" a review document.  Students will sign up for a single topic on one of seven functions.  The topics are outlined on a Google spreadsheet that everyone will be able to access.

Then they will create one or two slides on the topic they sign up for.  The slides will be posted in a Google slide presentation shared with all students.

The final slide show will be a complete review of the functions we have studied.  I'll post the slides on our class website for students to use in their personal study.

Hopefully students will find the slides created by classmates helpful!

Tuesday, January 5, 2016

Semester 2 Day 1 First Minutes Count

I had the opportunity to host the #ClassKickChat tonight on Twitter.  I had fun interacting with colleagues ... great ideas shared.  Our focus was on the first and last minutes of class.  Some days I do pretty well with the first few minutes.  Way too often I am in too big of a rush in the last few minutes of class.

Today was our first day back!  We needed to dust the holiday glitter from our brains -  remembering previous lessons on polynomials ... and add just a bit more to that topic - focusing on graphing and specifically the behavior of functions at the x-axis.  We call this lesson the "cross, bounce, wiggle" lesson!

To get started I used roller coasters as the hook.  I showed them this picture and asked ... would you want to ride this coaster?  Why or why not?


Next we went to a site (now closed) to create and ride coasters!  Students used the x-intercepts to write factors, multiply them, to find the coaster that worked in the first 2 examples.  And then they created their own fun coaster in the third interactivity.  This took about 15 minutes - a little long for an introduction but we had time to re-visit some key concepts and also catch up with one another in the process.

Students were ready for the main meal ... the entree of the day!

PS We don't have a subscription to that Kinetic Books website but I'm very curious about it.  The only activity I have used from it is the roller coaster.  I'm wondering if there are other accessible interactivities?

Saturday, October 17, 2015

Padlet Card Sort


We began work on our quadratics unit. To see how much students remembered from previous instruction and to build the need to know more details, we started with a card sort ... on Padlet!

It works!



I clipped 8 graphs and 8 equations (in different forms).  I wanted to see if students could match the graphs and equations ... what attributes they remembered from their Algebra 1 course.

I pasted the 16 pictures in Padlet.

The author of a padlet is the only one who can move cards around. So I gave students editing rights: Setting (modify) >> Privacy >> Hidden Link >> Can Moderate >> Submit

Then I realized I had 8 groups of students - I needed 8 copies of the Padlet task.  Padlet has a copy feature which generated distinct URLs for the copies.  I posted the links on our class website so all students could access them easily.

When the first class began, I realized that as group members are sorting the cards, the movements don't show up real time on everyone's computer.  So we made suggestions.  Refresh often to see your teammate's work.  Or divide the task - each group member take 2 or three cards and make matches.  Or use one computer per group.

I heard great discussions around the room ... how to determine which equation went where.  I discovered which students remembered that "c" is the y-intercept; which students who knew that the factors represented x-intercepts; and so on.

The last thing I asked groups to do after we sorted and discussed was to scramble the page before they closed it.  I used the Padlets with 6 classes.  We only had a minor glitch in one group - someone accidentally deleted a card or two.  In giving students editing rights to be able to move the cards around they can also accidentally delete the cards.

The activity went well - and I will definitely use it again.  I liked this method better than cutting up dozens of cards for sure!

Friday, August 7, 2015

#MTBoSBlaugust 7: Strategies to Promote Active Participation

I'm skimming the Total Participation book tonight.  Strategies that are catching my eye ...

Three 3s In A Row

How it works:
  • Prepare nine questions based on the content being learned and type them in a Three 3’s in a Row template (a 3 x 3 matrix).
  • Students walk around the room asking peers to explain one answer (only one answer) to them.
  • Students summarize their peers’ responses in their box –Don’t let students write in each other’s template or you’ll end up with a passive game of pass-the-paper. Only the owner of the template writes on his template. 
  • Students then find another peer to answer another question and repeat the process. Students can use any particular peer only once. 
  • Go over the answers as a class, by asking volunteers to share their responses.

Networking Sessions

How it works:
  • Prepare 1 to 4 prompts.  Ask students to reflect on the questions - maybe use a "quick-write."
  • Ask students to find someone with whom they have not yet spoken that day, and discuss their responses to the prompts.
  • After the given time, instruct them to find someone else with whom they had not spoken to discuss the prompts again.
  • Repeat until all prompts have been discussed.
  • Debrief by discussing key ideas shared.

Confer, Compare, and Clarify

How it works ... after taking notes ... 
  • Ask students to pair up to confer, compare, and clarify:
    • To confer, pairs should share a 1-sentence summary of what they believe to be the most important gist of the lesson
    • To compare, they read each other's notes and example problems ... make comments, add to their own notes
    • To clarify, they record any questions they still have.
  • Then pairs join together, and in groups of 4 discuss the questions they had.
  • In the debrief address any questions that groups could not resolve.

Key Word Dance**

How it works ... after taking notes ... 
  • Ask students to review their notes and select a set of words that are essential for understanding the concepts.
  • Ask students to create a Key-Word Dance ... organizing those words in poetry
  • In small groups share the poems and explain their organization.
  • Share a few in whole class debrief.
**This is one I want to try ... curious how it might turn out!

---------------------

One-Liner Wall - not a TPT strategy - instead a strategy for teachers

One teacher described in the book pulled out single statements or just a couple of sentences from students work and affixed to a wall.  It allows students to see each other's work and comment on it. I like this idea ... not sure how I will use it in my classroom.

---------------------

The big idea throughout this book is not so much which strategy you use, but the level of questions used ... questions that foster critical thinking.  Check out this site for free chapters and tools from the book!


 Himmele, P., & Himmele, W. (2011). Total participation techniques making every student an active learner. Alexandria, Va.: ASCD. 





Saturday, July 11, 2015

#70 Days Reflecting on lesson planning in Tackk

Posting lesson 3 in the series on our unit on absolute value functions.

While we have taught a similar unit in the past, it is new that we will lead with this unit this year.  I believe the thinking behind starting with this unit is that we will review linear functions in the process.  We will follow the unit with systems of equations.

I have spent the past week playing with organizing this unit in Tackk.  Tackk was new to me until I went to iPadpalooza this summer.  Many presentations were in Tackk or Smore.  Benefits including needing only one link to access the whole presentation; various media can be embedded including interactive media, and it's easy to publish.

Someone asked if I would use this everyday ... I don't know but quite possibly.  Benefits in my classroom include less paper copies, all parts of the lesson organized for student access, easy to share online, and perfect for students who are absent.

In lesson planning I have a few goals ... plenty of math talk, collaboration, problem solving, short quizzes, student reflection, and less teacher talk.  I'm looking at these first four lessons to see what areas I need to strengthen!

TACKK is no longer available - UGH!

Thursday, July 9, 2015

#70 Days Lesson Planning Comparing Examples

#EduRead has been discussing Make It Stick by Peter Brown.  The conversations online have been fascinating, full of great ideas, thought-provoking questions, and more!

Tonight the big issue was "giving notes."  Do we provide too much information in giving notes?  In giving notes, are we doing the thinking for the students?  When should students decide for themselves what notes to write down?

In a previous chapter, we noted a key strategy for learning that sticks is to compare/contrast examples.  I made this note that night:  "What’s happening in these two examples?  How are they alike?  How are they different?  What rules or procedures can you identify as essential to both?"

It was a "just-in-time" discussion because I've been working on lesson plans for our first unit: absolute value functions and solving equations/inequalities.  I decided that instead of giving notes, I would give sets of 2 worked out examples and elicit procedures from students.  Tonight I put that idea in a Google presentation.  I may upload it to Nearpod ... thinking about using it as a guided homework assignment so that we can spend class on inequalities (trickier) and extra practice.

Here is the Google version ... and always, your feedback is much appreciated.


Wednesday, May 6, 2015

Intro to Conics with Rice Krispies!


My colleague uses play-dough to explore conics.  And that was what I had planned to do until I read in Twitter one day that Julie was making rice krispy cones.  And I decided I wanted to do THAT!  After all, a bit of sugar helps the medicine go down!  (Not that I think conics is medicine ... it's one of my favorite units!)

But as Julie tells us in her blog about this activity, she has only one class of Algebra 2.  I have SIX!  Yes, 149 students.  And making 149 cones sounded daunting!

I purchased 3 big boxes of HEB crispy rice ... and 7 bags of HEB miniature marshmallows.  I was tired last night ... but I persevered in making 50 cones ... using about half of those ingredients (4 recipes of 6 cups cereal, 10 oz marshmallows, and 3 Tbls butter).  I had purchased 4 oz cone water cups ... I found mine at Amazon.  I bought one sleeve of 200 cups for about $6.

I see my 149 students over two days ... we are on a block schedule.  I decided to give one cone per pair of students today.  I used 39 cones ... I have 13 left.  Tonight I need to make 21 more cones.

So why all of that detail ... and all of that work, you ask???  For the smiles, the engagement, the joy of finding hidden shapes in our treats ... and the great give and take math talk all around the room!  "Can we eat these?" they asked.  Well, of course, you can!  

So the lesson:  
1.  Students did a quick web hunt for homework before class today to provide some understanding of conics.
2.  When students arrived in class, they shared their homework responses with their partners for just a few minutes. Then I asked a few questions about conics in general and about cutting a cone in particular, using an illustration on the board.
3.  I gave each pair some wax paper, a plastic knife and a cone.  I asked them to cut the cone to illustrate the four conic sections.  At the same time I asked them to discuss these 12 questions.
4.  To wrap up this section of our lesson I showed just a short clip (out-dated) of a teacher and student cutting a cone with a band saw to emphasize the relationships between the sections and the central axis and edge of the cone.

We continued by learning how to identify a conic section when its equation is given in general form.  We also practiced completing the square to rewrite from general form to standard form.  In our next classes we will tackle each of the sections one by one ... using Cindy Johnson's conic cards!  Conic cards are now online ... find them here!

Other blogs about Rice Krispy conics ... here and here.