Showing posts with label Math Topics. Show all posts
Showing posts with label Math Topics. Show all posts

January Fractions in Action: Interactive Notebook Vocabulary and Anchor Chart Error Analysis

We spend pretty much the month of January working on fractions.  Over the course of the month, we learn fraction vocabulary, equivalent fractions, fraction comparisons, adding, and subtracting fractions.  It is a lot for a fourth-grade mind to handle.  In my district, we use a math curriculum created by Eureka Math.  It is very similar to the New York State modules (EngageNY) that were created when the Common Core Curriculum was implemented.

I like the way Eureka lays out their modules, but the one item I don't care for is that I don't have the time to implement vocabulary knowledge with my students.  Vocabulary is used throughout the modules, I just like the ability to introduce the vocabulary as an initial lesson, and then reinforce it as we progress.  So many articles are being written about the need for a solid vocabulary in content areas, and this includes math.  So one way that I get around it is through my Intervention time. Although I know that intervention is meant to reinforce skills that students are not understanding, I do take time at the beginning of my units, and throughout my modules teaching ALL of my students regardless of tier about math vocabulary, and then reinforce concepts with anchor chart interaction.

Today I wanted to share a few of the items I use during this intervention time.  This is honestly when most of my students get the bulk of their interactive notebook work set up.  Because my students have this intervention time after our math block, I sometimes have them leave pages blank to insert vocabulary notebook pages.


One set of notebook pages that I insert is a basic vocabulary definitions page.  Students define the terms we will be using in our notebooks, and they use it as an easy reference throughout the module.  Sometimes, I even have the words repeated.  For example, compose and decompose are not new words for my class.  We have been using them since beginning the year in the place value module, but I don't think it ever hurts to see a repeat performance!

We spend time at the beginning of the unit putting together a hands-on kit.  This is a big help in getting a visual picture of equivalent fractions.



We do a lot of interaction with anchor charts.  I have students spend time in groups during intervention finding fractions that are equivalent to benchmark numbers: one-fourth, one-half, three fourths, one whole, and one and one half.  I teach students to write number sentences to prove this, but they also can use visual models like tape diagrams, number bonds or area models.  This continues throughout the unit as we learn how to use multiplication to represent equal fractions.  Usually, about once per week in the intervention time, I have students gallery walk the charts.  They are adding new fractions if they have discovered new equivalents, and they are also doing error analysis.  I ask them to look for fractions that someone has placed that are NOT equivalent to the benchmark.  Sometimes I will purposefully INCLUDE an error on the chart, and when found, students will justify their reasoning for the error and include a corrected fractions.  POWERFUL WORK!

I would love to know how you begin your fractions unit!  Share your thoughts and ideas!
Namaste,

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Adding and Subtracting Fractions Game: Mid Week Math Motivation

Hello friends!  I'm back with a little Mid Week Math Motivation, and a game students can play to practice Adding or Subtracting Fractions.

Here are the materials you will need to play:

Fraction bars:  1 whole, halves, thirds, quarters, sixths, eighths, twelfths, and sixteenths.
(You should have enough pieces to create a whole for each)
Fraction dice with the following numbers: 1/3, 1/4, 1/6, 1/8, 1/12 and 1/16
If you don't have fraction dice you can cut out address labels to fit your dice and write the numbers on, or find circle stickers.  I found these chalkboard dice at the target dollar spot in the fall, and I used a chalkboard paint marker to write what I need on them for centers.


If you don't have fraction bars you could go [HERE] and grab a Free set of them, and have your students color in the pieces different colors (or print out the colored Freebie), or you could have your students create a fraction kit using different colors of construction paper.  I use both when we play this game.  The fraction bars that are the freebie I use when we are in class playing the game in small groups.  I have the cards printed on card stock and I laminate them.  Usually I keep 8 sets so that I can have two groups of four playing at the same time.  Some of my smarties need the addition practice, while others are ready to move on to subtraction.  I also put magnets on the set so  students can use them as manipulatives on our magnetic wall.  

I have my students create the construction paper set in class with me.  The pieces are larger, and don't tend to get lost as easily.  We keep the pieces in a ziploc bag then a pocket in our interactive notebooks because I use them for more than just this game.

It is easiest to begin this game by everyone doing the same thing at the same time.  This way you can guide students who are struggling developmentally with understanding the equivalence of the fractions.  I use a gradual release concept the day that I do this, so my students who gain understanding quickly can get started playing each other.  

Adding Fractions Game: COVER UP
Start with your 1 whole strip.  Your goal is to cover your one whole strip completely, without going over.  Take turns rolling the cube and take the fraction you roll and place it on your whole strip.
For example. if I roll a 1/4, I would take my 1/4 strip and place it over the one whole strip.  Play continues until the first person completely fills up their strip.  Students are allowed to "trade out" their equivalent strips as they go.  So for example, if a student has a 1/4 strip, then a 1/6, if the student rolls a 1/3 he/she could trade out the 1/3 strip for 2-- 1/6 pieces.  Then they could also see that 3 1/6 pieces can are as large as 1/2, so they can trade up again.  Here are a few picks of my students trading.  One rolled 3 1/12 pieces during his turn.  Once he put them together, he realized he could trade up the 3 1/12 pieces for a 1/4 piece. 


The whole purpose is getting really good at understanding equivalent fractions.  This is a hands on way for students to find a common denominator.  Once students are comfortable with equivalent fraction trading, have them begin to use a dry erase board to write a numeric equivalent fraction, and then eventually an addition equation. If a student rolls the die and cannot go, he/she loses their turn, and must wait for their turn to roll again.
The winner is the first person to completely cover their fraction strip exactly. 

Subtracting Fractions Game
To practice subtraction, begin with your whole fraction strip covered with two halve pieces.  Take turns rolling the cube, and taking off (subtracting) that fraction.  You will have to exchange the pieces first, so it is a perfect formative way to make sure your students are understanding equivalent fractions (or finding a common denominator).  For example, if I roll a 1/8 on my cube.  I would need to exchange one of my 1/2 pieces for 4/8s in order to subtract one 1/8.  Again, if a student rolls the die and cannot make an exchange, he/she loses their turn, and must wait for another turn to roll again. The winner is the first player to uncover his/her whole piece exactly.


Need to Enrich or Extend?  
1) Have students play in pairs and combine their kits so that have to begin with an improper fraction.
2) See who can create the largest covered fraction within 4 turns, or who can uncover the most pieces.

My class really loved playing this game and it was a great way for my learners to get a hands on experience with equal fractions, and gain a deeper understanding.

Have a great rest of the week my friends!


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Three Things I Loved About My Week: Memory Moments, Decimals, and Community Gardens

Hi friends!  I'm back to share Three Things I Loved About My Week with you. I can't believe I just sent home progress reports for the last quarter of the school year!  I am really looking forward to slowing down when summer begins.  I love my class, and I loved the challenge of learning a new grade level.  But I'm ready to make more choices about my time!

#1: Memory Moment
This week we used The Day the Crayons Quit as our Mentor Text.  I love how cute this text is!  I know this book has been out for awhile, but I didn't really have a reason to use it as a middle school teacher.  When I picked it up at the library,  I loved that my mind went to the Memory Moment signpost right away! It was perfect the way the author gives the crayons personalities, and they share the memories of how Duncan uses the crayons.
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I used the text for mentor sentence work this week, so it incorporates a ton within one book.  What made me happy was that the first day we looked at the text, our Invitation to Notice day, several of my students noticed that this book contained a Memory Moment!  <HOORAY>!  Imagine me doing the happy dance!

I just recently taught this signpost and we dug deep with our novel Lunch Money.  It was nice to see the information transfer to other stories as well!
Right now we are working on Color Poems.  Students chose their favorite colors, and we are in the process of using our senses to describe them.  I can't wait to see how they turn out!


#2 Decimal Fraction Review
We took our End of Module assessment this week for our Decimal Fraction Relationships unit.  My kids really worked hard. We started our unit looking at how decimals and fractions are similar. Did you grab this FREEBIE that I created as a quick formative? It was quick and easy and my class started the unit with a Win-Win.  As we progressed, we learned how to translate decimals into fractions to add them.  We also plotted numbers on the number line, and learned how to change decimals and fractions between each other in computation and word problems.  One of the things I really love is how our modules build on one another.  They always give students problems that contain multiple steps that build.  I use these problems a lot for team building activities.  Instead of having just one problem that everyone completes, I create multiple problems that are similar.  Students work together in teams to answer each question.  It creates a feeling of anticipation and cooperation within the group.  Plus it makes review a lot more interesting than "Another Math Worksheet" <Insert fourth graders rolling their eyes here>

#3 Spring Gardens
The third thing about my week that I LOVED, was the spring gardens that are popping up around our school.  This is a project that our third graders participate in, but I have loved watching it grow! Every third grader participates in the program.  Once a week, someone from the community food co-op comes out and talks to students about healthy eating, gardens, vegetables, etc.  Each student has a gallon bucket where they have planted different veggies, and the students learn to tend the gardens.  They grow several types of lettuces, tomatoes, peppers, cucumbers, squash and a few herbs.  When the items are ready to harvest, students help and then participate in a healthy meal together.  Of course there are PLENTY of leftovers, so students go home with two bags of fresh veggies each to share with their families.  I love the community support this program has!
Check out these amazing pictures!






Thanks for stopping by and letting me share a few things I've loved about this week.  I'd love to hear about something that was amazing for you!

Happy Weekend!


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Decimals and Fractions Interactive Notebook Sort FREEBIE

We started working on fraction and decimal relationships this week.  My students were pretty excited to leave fractions behind, but are also proud to see how they are related to the world of decimals.


 When I begin my decimals unit, I have my students create a vocabulary page for their interactive notebooks.  It helps them to see the importance of the new terms we will be learning, and gives them a quick reference to use throughout the unit.


On the first day we look at metric units, and how a fraction with a denominator of 10 is equal to a decimal.  We practice going back and forth between fractional unit and decimals.  You can use a digital scale to help with this too.  I give my students several different items that we can weigh on the scale, then we write the numbers as fractions and decimals.  We also use tape diagrams and divide them into tenths.  We practice shading in the tape diagram as a model, writing the fractions, and the decimal lengths. Then we model this on a number line so visually students can see the similarities.

The next day for morning work I give my students a quick check page which helps them sort and practice fractions, decimals, and word form. They match the pieces that are jumbled up on the page. Then I have notebook leaders in my groups who check their notebooks with mine and then check their groups.  They let me know any students who were having trouble so I can quickly clear up misconceptions as I start the new lesson.  Any students needing further assistance get help during our math intervention time.

 I would love to hear how you start your decimals unit!  Let me know in the comments below, and be sure to grab the interactive notebook sort page for FREE by going {HERE}! I've made it two levels so I can use a similar format a little later in the unit.


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Three Things I Loved About My Week: Mardi Gras Fractions, Friends, Facing a Fear

Hello friends!  I wanted to share the Three Things I LOVED about my week last week!  

#1: Celebrating Mardi Gras in the Classroom
This Friday we celebrated with a little Mardi Gras Fun in our classroom.  Fat Tuesday is coming soon, but we have our big state writing assessment on Monday, and I wanted to spend the last 45 minutes of the day relaxed, happy, and ready for the weekend.  Because I still have to teach curriculum and I teach math in the afternoon, I pulled out my Mardi Gras Float Fraction activity.  Students were told there are 12 krewe members on their Mardi Gras Float.  They worked in pairs to answer 10 questions relating to equivalent fractions and easy percents.  These questions told them what each member of the krewe had to wear on the float.  For example, one item said that there were twice as many girls as boys in the krewe.  Students had to figure out that meant there would be 8 girls and 4 boys on the float.  Another was that 75% of the boys had to have dark hair.  Students had to figure out that meant 3 out of the 4 boys.  When they were finished with the 10 math questions and had them checked, they were allowed to draw their floats. They LOVED this activity,  and I loved sneaking in a little extra math practice. The floats while having the same information were all completely different.  So many ways for them to be creative and practice mathematics skills at the same time! Math and art, you can never go wrong.  I love these pictures! 




#2: Time with Friends:  Filling my Cup
I had a few friends from New York visiting me this week.  We got a chance to go out to one of our favorite hangouts, Buffalo Wild Wings, and watch the Syracuse vs Duke game on Wednesday night.  The game was killer!  I mean a win at the buzzer against DUKE is the BEST ever!  But even more important, I had a chance to catch up with friends that I don't often have a chance to see, and well frankly, they "fill my cup." 

Do you have friends who do that for you?  Even though we are far apart I have a few friends that are just... well... there for me.  When I see them they fill up my cup!  I talked to my class about that on Friday.  They know I love Syracuse basketball, and they asked me about the game.  As exciting as it was, I found myself talking more to them about the friends I have who really help me out, and are just fun to be around.  It was honestly a great way to reinforce that Kind is the New Cool mentality, and I saw a lot of my students checking in with each other on the playground and including everyone in their games.  That also was a cup filler!!

#3:  Facing My Fears
My daughter also had an opportunity to "fill her cup" this week by having other friends from NY visiting.  We met our friends at Disney Springs for dinner and to hang out a little.  As a group we decided to go up in the hot air balloon.  Ok, so... yea.... I'm afraid of heights... but I couldn't be the ONLY person who didn't go up in that balloon, so I mustered up a little confidence... yea.. I used my Confidence Essential Oil roller... LOL... and I did it!  8 minutes in a hot air balloon.  I smiled the whole time but inwardly.. I .. WAS... FREAKING OUT!

So that being said, this week after out writing test I am going to read a book to my class called Courage.  We are going to spend some time writing an essay about what it takes to make a person courageous, and how they are courageous about something in their lives.

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Share with me something from your life that you LOVED this week, or a way you had your cup filled, or were fearless.  Any Mardi Gras parades or activities in you week?  I'd love to hear about them!

Have an amazing week friends!





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2016: A Year in Review

Happy New Year friends and family!  I'm sitting here with my coffee cup in my quiet new kitchen doing a little reflecting about 2016 and all that it has had to offer.  At first I was majorly beating myself up because I haven't blogged in... I don't know... FOREVER!! Even after Megan created this beautiful new design for me in the summer, but then I thought... STOP BEATING YOURSELF UP.. put in the past what is in the past and start being in the here and now.  SO.... for here and now, here I am with a little bit of year in review.. both educationally and personally... well, if you've stopped by with your coffee cup before, you already know that about me.

2016: was a Year of Interactive Math:



I worked hard in the early part of 2016 to come up with ways to make mathematics more interesting and fun for my sixth graders.  They were NOT keen on having to learn fractions, and algebra and distance on the coordinate grid, and we had some major intervention to do.  I started a bi-monthly blog post called Mid-Week Math Motivation, (which I'm hoping to kick start again) which helped me think out and share some of the ideas I had to keep math engaging.  One of my favorite activities was creating a gigantic coordinate grid on the cafeteria wall.  We rolled foam dice for creating the integers on the grid, and I had candy prizes at different coordinates.  The kids had to tell me the integer and it's quadrant to keep the prize.  You can read more about it in this post {HERE}.  My class loved this activity.  It was engaging, fast, and fun.

2016 was a year of a BIG MOVE:
In the summer this year I moved with my kids to be closer to my family in Florida. I also found an amazing house for us to live in, and I'm proud that I have managed to buy it and run it all on my own.  I love the area where I live.

I have a pond in the back of my house that is filled with Cypress trees.  There are literally hundreds of birds that live there.  I love sitting with my coffee cup on the deck in the morning watching and listening to them chatter. We also have a gator we've named George.

What better way is there than with perfect Rae Dunn mug... yes I've become a collector of these,  and Fiesta dishes.. I need more quirky and color in my life!

2106 was a Change in Grade Levels:
Along with the BIG MOVE I also changed from teaching sixth grade to teaching fourth grade in a new state.  Learning new curriculum has kept me VERY busy this first semester of the school year, and I will definitely blame my lack of blogging on treading water at school.  I do really love my class, and the staff there, and we are working hard at improving our school report card.  We are a D school right now, and we want off that list! My smarties are working hard, and they have ME working hard.  That has its pluses and minuses as I've totally gone off of my taking care of myself regime, and I'm spending WAAAAYYYY more time at work and doing school related planning than I should be, but I'm hoping things will even out in 2017.  New Year... New Hope... <Yep.. that's me, putting in the whole Star Wars reference... You know I shed some tears over the loss of the Princess, but I digress>

I mean how can you not love that THIS is the type of place you get to go to on a FIELD TRIP!




Gorgeous right!


So that my friends in a nutshell is why I've been MIA for the past few months.  I'm hoping to get back to blogging and catching up with my peeps in 2017.  I have always enjoyed connecting with teachers and sharing ideas.  Let me know what was amazing about your 2016!




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Numbers Battle- A Math Card Game {Mid-Week Math Motivation}

For Mid-Week Math Motivation this week I wanted to share a game my students really love to play. It is perfect to keep them working on order of operations,  positive and negative integers, and mental math skills.

Numbers Battle:
Materials:
Deck of Cards
Dry erase boards and markers
Calculator

Object:
Create the highest (or lowest number) with a set of 4 cards
Face Cards:  Kings = 20, Queens = 15, Jacks = 10, Aces = 1 
Of course you can make these whatever value you would like, or eliminate them.  I use these numbers because I want my students to practice mental math skills when we play, and these numbers are easy to work with.

How to Play:
When we play this game black cards are positive integers and red cards are negative.  Students shuffle the deck and split the cards evenly in the group.  The game is best served with 2-4 players.
Each student deals four cards from the deck.  They use any set of operations they choose to create the highest or lowest number possible.  I allow my students the use of a dry erase board and marker. They have to write the equation they created to prove they have the highest (or lowest) number.  We use a calculator to check answers as needed.


The winner takes all of the cards from the round.  The game winner is the person with the most cards.


I really love that even younger students can play this game.  It can easily be modified for younger grade levels by limiting the integers to only positive and/or limiting operations.  Students can also get help by using a positive and negative number line. They could be allowed to move the cards or limit them by keeping the cards in order. Even as I'm creating this post I'm thinking of how I can incorporate new skills next year by having my students physically walk the number line in my classroom.  It would be a great way to have a class math battle, and an easy five or 10 minute filler or brain break.

How do you keep your students motivated about math?  I would love to hear from you!
Have a great day!
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Making 2D Street Art {Mid-Week Math Motivation}

My students only are scheduled to go to Art class twice a month. So whenever possible I like to add some sort of art work to my lessons in my core areas.  I first saw this fabulous idea for completing 2D street art from Jen Runde who blogs at Runde's Room.  When I read her post, I knew I had to try this with my students! It is sort of like directed drawing for Big Kids!

We started out using our rulers to create a diamond with our papers in landscape mode.

Then we drew vertical lines in the center to create the street corner.  Follow the slant of lines (slanting to the right on the right side of the street, slanting to the left on the left side) we created rooftops, windows and sidewalks for our street.  We erase the top line of the diamond as we create the rooftops.  Once all of the buildings were drawn, we filled in titles of our favorite shops, and colored all the space.  Some of my students chose daytime street scenes, while others chose a night drawing.


I'll be honest, this was NOT a one day and done project.  It took my serious students about 3-30 minute class periods to complete the piece.  But I believe the project was WELL worth the time.  If you save this project for after your state testing it is a great brain break!

I especially love this project.  My student knows how much I love drinking Dunkin Donuts coffee. She made her street corner a huge Dunkin Donuts store.  She also told me I could have unlimited coffee <hee hee>.


Thanks for stopping by for a little Mid-Week Math Motivation!  I would love to hear what you are up to with your students!

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