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!

• 5.NBT.1
• 5.NBT.2
• 5.NBT.3
• 5.NBT.4
• 5.NBT.5
• 5.NBT.6
• 5.NBT.7

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.

RESOURCES:

• Math Worksheet Land Worksheets
• Mr. Maffesoli.com Worksheets on 5.NBT.7
• A couple of great word problem pdfs: Diminishing Return and Got Your Number.
• EngageNY full module: This huge document can be a little cumbersome, but if you do a search on the standard 5.NBT.7 then you'll find a few great problems and scoring rubrics here. 
• 5.NBT.7 games

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:

BASIC SKILL PRACTICE:

• ROCKET MATH: Rocket Math offers 1 minute timings (you can read more on that in my 5.NBT.5 post under basic skill practice). Here are some division sheets in ORIGINAL FORMAT and in NEW FORMAT. 
• GAMES:
• Fun 4 the Brain Division Games: A great listing with some pretty neat games that practice basic division facts. 
• Math Playground Division Games: Some neat games that will help kids in need of a little practice.
• WORKSHEETS: 
• Math aids.com listing: I like the offerings here, lots of great basic division practice. 
• Math drills.com listing: You can't go wrong here, there are tons of choices.
• Common Core Sheets listing: Again, tons of choices and variations available here. 

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 FRACTIONAL REMAINDERS:

• WORKSHEETS:
• Math aids.com: Why go elsewhere when it's right here.
• Dads worksheets.com: Tons of results here, there are many possible worksheets you can use.

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

• Math is fun.com example: Kids can open this on an iPad or computer to get a very detailed example on how this works. 
• Khan Academy Dividing Completely to Get Decimal Remainder: I used this lesson in my class to some good results, it was a flipped lesson and students really understood what he was showing them.

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.

BASIC SKILL PRACTICE:

• 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. 
• Multiplication.com 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.
• Tons of sheets in one pdf file.
• Create your own basic facts worksheets at The Math Worksheet Generator.
• Worksheet Works worksheet generator:  Good stuff here!

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.

• Mr. Maffesoli.com Listing: Mostly 2 x 2 multiplication worksheets in pdf format. 
• Internet for Classrooms.com Listing: Has 2 x 2, 2 x 3, 2 x 4, etc. 
• Mathaids.com Worksheet Builder: Build some algorithm based problems here and download as pdf. 
• Mathdrills.com Worksheet Listing: Many worksheets that address the standard algorithm. 
• CCSS Math Internet Resources: Worksheets, videos, interactives, etc.
• WORD PROBLEMS:
• Mr. Nussbaum Story Problems: 10 examples exist here. 
• A few rigorous multi-step multiplication word problems
•  Multi-step Multiplication word problems from superteacherworksheets.com: It's usually not a free site but this is a free pdf.
• Math-aids.com build your own two step multiplication problem pdf sheet.
• Helping with math.com listing: Some decent and challenging word problems exist here.
• Full module from engageny.org: Do a 5.NBT.5 search in this pdf and find a great listing of some highly rigorous problems, some warm ups, and even some rubrics and scoring samples.
• Lessons for Learning: A large pdf document provided by the Public Schools of North Carolina, I found some great and rigorous word problems here.

5th Grade Math Resources for CCSS 5.NBT.4

5.NBT.4: Use place value understanding to round decimals to any place.

UNPACKED EXPLANATION: Round decimals to either tenths, hundredths, or thousandths, although strategies and skilled learns should apply to any place.

WHAT THE PARCC WILL EXPECT: The PARCC Practice Tests question for 5.NBT.4 tests students ability to round decimals without a given context (without telling them "round to the tenths place," etc.). The actual problem is:

The PARCC does this quite a lot. There are 6 numbers that can be dragged, meaning that two numbers will be left behind, so the traditional test taking strategies, especially process of elimination, won't be as effective here (although it still helps). Students will need the ability to do exactly what's laid out above, to be able to match numbers to their rounded counterparts, and do it without context.

RESOURCES: I'll focus on resources that cover all the components of this skill. You'll likely want to start with doing a lot of rounding with context, and eventually move to the more rigorous side of this standard.

• ROUNDING WITH CONTEXT:
• Short explanation before some rounding of specified digits
• 4 page packet that rounds with context
• Mathworksheetland.com lesson outline: It's all context based rounding here. 
• Massive listing of worksheets from internet4classrooms.com: Tons and tons of context based rounding sheets, I mean TONS.
• Assessment for 5.NBT.1-4: Actually some decent problems here.
• GAMES
• Rounding decimals soccer
• Scooter Quest
• ROUNDING WITHOUT CONTEXT: There's not a lot out there for rounding decimals that leaves no context. My advice here is to look at the PARCC problem above and craft some problems that are similar to it, this ensures students are getting rigorous problems that make them problem solve and think. I highly recommend going to that level if possible,
• Performance assessment task from insidemathematics.com: Look through this document for a few rigorous problems with scoring rubrics. They could be used for practice or even incorporated into assessments. 
• Iowa released test items: Released items from the old NAEP test that are now aligned to CCSS (interstingly enough, a lot of these problems were originally meant for 7th and 8th graders). Search the document (ctrl+f) for 5.NBT.4.

5.NBT.4 VIDEO: