Tuesday, November 25, 2014

Hundred Chart Assessment

This is a short follow-up post to last night's post on teaching the patterns on the hundred chart.  Today, I gave my 2nd graders a little assessment on the hundred chart patterns, and I thought I'd share it.

I gave the students a copy of the blank hundred chart you see pictured and gave the following directions:

  1. Fill in the first row of the hundred chart (1 through 10). This was to give them a baseline to use for the other patterns in the chart.
  2. Find the square for the number 21.  Fill in that whole row (21 through 30).  I was looking for two things: (1) can they find the number 21 and (2) do they know that moving across a row is counting by 1s.
  3. Put your finger on the number 9.  Fill in that whole column. Do they know that moving down a column is skip counting by 10s and can they skip count by 10s off the decade (9, 19, 29. etc. )?
  4. Fill in the squares with the bold outlines on the front of the paper. Can students use the numbers they have already placed to find the missing numbers?
  5. Turn your paper over onto the back.  I have pulled two sections out of a hundred chart.  Use the number that is given to fill in the other numbers.  This is the most difficult skill, because students do not have the support of seeing the rest of the hundred chart.
You can grab this little assessment by clicking here.  Happy Thanksgiving!! 

Sunday, November 23, 2014

Conquering the Hundred Chart

Mathematics is all about patterns. Some describe mathematics as the science of patterns, and the ability to understand patterns is described as a key concept in NCTM's algebra standard.

I didn't like math growing up.  Now, it fascinates me almost to the point of obsession, and I attribute that to two things: (1) I now understand the math behind the procedures I was taught, and (2) I see the patterns that were never pointed out to me before.

Since I love patterns, it should be no surprise that I am a big fan of hundred charts. The classic +1, -1, +10, and -10 pattern of a hundred chart is fundamental to a conceptual understanding of place value.  So you can imagine my delight a couple of weeks ago when I saw that the remediation program my district uses had a hundred chart lesson for my 2nd graders.  A lesson.  As in one.  That might have been fine, but I quickly found out that my struggling second graders did not see any of the patterns in the hundred chart that I hold so near and dear.

Enter Hundred Chart Bootcamp!  We have spent two weeks exploring the hundred chart inside and out.  Some of the students picked up the patterns right away, but others just couldn't see them.  It was fascinating to me.  Here are some things I tried.

Humpty Dumpty Hundred Charts

This activity involves students putting together the pieces of a cut up hundreds chart, like a puzzle, to make the complete chart.  This is a great formative assessment!  Watch as the students put it together. Do they know that the smaller numbers are at the top of the puzzle and the larger ones at the bottom?  Do they look for the multiples of ten for the right-hand side of the puzzle?  How easy or difficult is this task for them?  You can read more and download your own free Humpty Dumpty charts from this blog post.

Missing Numbers on a Pocket Hundred Chart

A pocket hundred chart is a must-have tool.  You can use it to isolate the numbers in a given row or column, which makes the patterns easier for students to see.  They now actually sell the pocket charts that extend to 120, so students can see that the patterns go on past 100.

Hundred Chart Masks

This activity came from the book It Makes Sense: Using the Hundreds Chart to Build Number Sense, by Melissa Conklin and Stephanie Sheffield.  These masks are groups of squares, which contain question marks, that are cut from a hundred chart.  Students lay them over the hundred chart and try to determine the numbers that are covered.  Because the rest of the numbers on the chart are visible, students can be successful with this activity, even if they are not yet sure of the hundred chart patterns.  I created a recording sheet for the students to record their numbers, so they could then see the groups of numbers away from the rest of the hundred chart. I think that helps them to recognize the patterns more easily.  You can download the recording sheet a little further down in this post.

Hundred Chart Puzzles

Once students understand the patterns on the hundred chart, they are able to work puzzles such as the ones shown.  This set, from my To 100 and Beyond: Hundred Charts to 1000 unit, takes the patterns all the way up to 1000.  I have the cards laminated, and students use wipe-off markers to complete them.  I still have some students that do not 100% own the patterns, so I created a card they can use as a reminder.
Click here to download the patterns card (shown above) and the recording sheets for the mask activity.  Enjoy!

Update: be sure to check out this post for an easy hundred chart assessment. 

Saturday, November 15, 2014

Personal 1,200 Charts

Earlier this week, one of my amazing 2nd grade teachers emailed to ask if I had small hundred charts extending out to 1,200 that her students could use to make personal 1,200 charts.  She'd made these with her students at a previous school and wanted her kiddos to have this nifty tool as they work with increasingly larger numbers.
I created a little file for her with four hundred charts to a page, all the way up to 1,200.  Each chart has a little tab at the top so students can glue them together into one long strip, which is then glued into their math journals.  Her team loved the idea and wondered if the small charts could be different colors, so the students could easily see each grouping of 100.  I rearranged the charts so each page could be printed on a different color paper. Voila!  Mission accomplished!

Thanks to Mrs. Anderson and her class for sharing both their pics and their enthusiasm for math with me!!  Grab the file to make your own charts by clicking here.

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