Monday, June 23, 2014

5th Grade CCSS Math Vocabulary by Domain

In all my searching around the internet, I have had a difficult time finding vocabulary for Common Core listed by domain. So, with the help of some resources and my own notes from last year, I made the following list:

5th Grade CCSS Math Vocabulary by Domain

Here is some great math vocabulary words in .pdf format that are word wall ready (my favorite list out there)

Full List of Words (for reference)
A-L word wall ready words
M-Z word wall ready words

More math vocab cards

PDF Listing of math vocabulary words

Thursday, June 19, 2014

5th Grade Math Resources for Numbers and Operations in Base Ten CCSS Strand

I have completed pages of resources for all of the 5.NBT standards, which I have linked to below. I hope you find some great things you can use in your classroom. Everything I list is freely available online, no cost stuff only!

You can also see these listed on my Math School Year Outline (CCSS aligned).

5th Grade Math Resources for CCSS 5.NBT.7

5.NBT.7: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

UNPACKED EXPLANATION: Do computations with decimals in all four operations, being able to relate work to models or drawings, and utilize strategies based on place value, properties, and the inverse relationship of addition and subtraction. It's the culmination of the entire NBT strand.

WHAT THE PARCC WILL EXPECT: I've said it before and I'll say it again. The practice test hasn't, in my mind, done justice to how difficult the actual PARCC test is. So my advice is to make sure this standard, as all others, is taught to the letter of what's being asked. The practice questions are a straight forward .035 x 1.5 and 5.63  + 14.37, which aren't that difficult. So just go ahead and hit the depth of the entire standard, I think it's the best way to go.


5th Grade Math Resources for CCSS 5.NBT.6

5.NBT.6: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

UNPACKED EXPLANATION: 4 digit by 2 digit division with strategies that involved an understanding of place value relationships (as in moving that decimal place to the left and right), understanding that division is the opposite of multiplication, and understanding the properties of the operations involved. Finally, students should have the ability to explain their calculation visually. 

WHAT THE PARCC WILL EXPECT: I'm not sure if many teachers out there have looked in depth at what the PARCC has to offer, but I have to say that I'm not very impressed in a lot of ways. If you look at this standard, it's really sophisticated in what it expects out of students. Not just the ability to divide, but the ability to elaborate on their calculation and process is important. Well, then there's the PARCC question, here's a screenshot of what the PARCC asked for 5th graders to do:

Yep, here it is. The point I'm trying to make here is if you go to the depth of understanding that 5.NBT.6 asks of you to go with your students, they'll have no trouble handling the low level, low quality type of question being asked of them on the PARCC assessment (I know that's a fairly brutal and straightforward critique, but that's how it is with this).

PARENT HELP: I discussed having parents help with basic multiplication and division practice at the beginning of the school year in my 5th Grade Math Resources for CCSS 5.NBT.5 post, and will elaborate on that here. 

If you set aside the initial.... six weeks or so of the school year for parents to help their children at home reinforcing basic multiplication and division facts, it can save you a lot of time in the classroom. I haven't met a 5th grade teacher in the all the world who doesn't lament the fact that a good percentage of their students don't walk through the door on the first day with fundamental math facts down, mainly multiplication facts and standard algorithm, as well as the ability to divide with the standard algorithm. So here's some resources that can be utilized for that purpose:

ADDRESSING 5.NBT.6 WITH RIGOR, SYSTEMATICALLY: Once students have basic division facts down (fact families basically), and can function within the standard algorithm, it's time to start talking about how to handle those remainders. By 5th grade, they shouldn't just be putting an "r" and writing the remainder next to it, they should either take that remainder and make a fraction with remainder in the numerator and divisor in the denominator, or continue on by using a decimal in the quotient (I like my students to keep going to the thousandths place if necessary). 

Long division with the remainder as a fraction

Long division with decimal remainders

DIVISION WITH DECIMAL REMAINDERS: (there are some options at the links immediately above this as well)

Monday, June 16, 2014

5th Grade Math Resources for CCSS 5.NBT.5

5.NBT.5: Fluently multiply multi-digit whole numbers using the standard algorithm.

UNPACKED EXPLANATION: What more is there to say here? Multiply using the classic method known as the standard algorithm. The key here is the world "fluently," which means students need to be able to do this quickly and with skill. 

WHAT THE PARCC WILL EXPECT: The PARCC practice test that is currently out there has three problems that are 5.NBT.5. This is a 36 question test, so realizing that a full 8% of this test is based on this one standard, that should show us all that this is a HUGE standard. Of course, this shouldn't be a surprise. The ability to multiply fluently is a foundational math skill, and should be something students are practicing and reinforcing all year long.

The PARCC practice problems are: 

463 x 1,945 =

371 x 2,584 =

625 x 847 =

So, considering that this is a huge standard, let's discuss a few approaches: 

PARENT HELP: Multiplication and division with the standard algorithms are HUGE HUGE HUGE skills that can't be taught in a two or three week period. They need constant practice throughout the year. One way I like to do this is by involving parents. From the beginning of the school year, I send home multiplication and division practice as homework for the first few months. This gets parents involved, because even though many parents struggle to help their kids with the more rigorous CCSS based math stuff, they can provide support when it comes to multiplying and dividing. I also try to focus on basic skill checks through the first few months. Too many 5th graders don't have their basic multiplication facts down, so let's hit this standard from bottom to top.

  • ROCKET MATH: If you don't know what Rocket Math is, it's 1 minute timings that students try to complete and move up a rocket chart. Teacher directions are HERE, and the timing sheets are HERE (the classic ones that I use because they're the ones my school has, and some newer ones that I don't like as much but they are out there HERE). These are good to send home, and have parents do the timings at night for practice, and then do some timings in class. I have a good system going with these and can do a full timing, and have everything put away within 3 minutes. It's good and quick practice for basic skills, which are necessary. Students can't multiply fluently if they're constantly doing multiplication on their fingers.
  • Games: I could list literally thousands of different basic fact games, but instead, just go to Google and search for basic multiplication fact games and you'll see for yourself. I'm going to focus on a few of the best here. 
    • Games: A large collection of games that reinforce facts. I put this link up on my classroom webpage for students to use at home.
    • Times Table Games: A decent listing of some basic facts games.
  • Worksheets: Here's some basic facts worksheets to get you started.
ADDRESSING 5.NBT.5 WITH RIGOR: Let's move beyond basic skills into mastering this skill and really starting to push students abilities with the standard algorithm.