## 5.NBT.3: Read, write, and compare decimals to the thousandths.

## (a) Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

## (b) Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

**First of all, this standard has two parts. We will first focus on part (a) of the standard:**

**5.NBT.3a**

**UNPACKED EXPLANATION:**To put it as simple as possible, this part of standard 3 asks students to write the expanded form of numbers, fractions included to represent tenths, hundredths, and thousandths.

**WHAT THE PARCC WILL EXPECT:**Just like 5.NBT.2, there are no performance tasks for 5.NBT.3 (a or b). So, the best approach to take here is to use these standards to prepare students for the more rigorous work that lies ahead later on in the NBT domain. If your students can accurately write standard, word, and expanded form of numbers that go to thousandths, they'll be fine on this standard. It really is a simple one that can be tied to some other standards as well.

**RESOURCES:**Again, this will be fairly straight forward. If you teach in sequence (and there's really no reason you shouldn't with this domain, it's already laid out that way), then your students will already have a good understanding of place values in the base ten system, making this the next step.

- Adjective/Noun Theme: As someone who has been through a full round of Intel Math training, I fully believe in and utilize many of their strategies, including adjective/noun theme. The a/n theme has been around long before Intel, but is very conceptual and powerful when students learn to utilize it. HERE is a document that explains adjective/noun theme in the four operations. And HERE is another document on adjective/noun theme with decimals. The basic premise here is that numbers are adjectives that describe nouns. You can't add together two unlike nouns (you can't add together 4 dogs and 2 cats without some sort of combining of nouns). So if it's 45 hundredths + 8 tenths, we have to do some converting to get 45 hundredths + 80 hundredths, and then we add the adjectives to get 125 hundredths. It's a simple yet effective way of teaching this stuff that is conceptual and leads to long term retention of learning.
- Some worksheets and pdfs:
- mrmaffesoli.com 5.NBT.3a worksheets: A listing of some great 5.NBT.3a worksheets, there's quite a few here.
- Common Core Sheets: There's a pretty large listing here.
- Internet 4 Classrooms 5.NBT.3a: Wow, there's TONS here.
**GAMES:**- Mathman: A Sheppard Software game, very simple and straight forward Pacman style game that reinforced expanded form, although it might not go as far as decimals. It's good practice for kids struggling with their expanded form of numbers.
- Fruit Shoot: Another Sheppard Software game. If you play the harder levels it's a spot on match for 5.NBT.3a.
- Walk the Plank: A game from mathforchildren, it's funny and kids enjoy it.

**5.NBT.3a VIDEO:**This is a Khan Academy video that discusses expanded form with multiplication, pretty much as stated in the CCSS.

**5.NBT.3b**

**UNPACKED EXPLANATION:**Compare two decimals to thousandths using inequalities (<, >, =).

**WHAT THE PARCC WILL EXPECT:**Again, this standard is not included on PARCC practice exams. This is a pretty important standard for students to master, however, because it allows them to show mastery over comparing decimals, understanding place value, and even the ability to properly complete inequalities. So let's just go from there.

**RESOURCES:**This standard is almost identical to the inequalities standard that many states already had in place before the Common Core, so anything you, as a teacher, already have prior to CCSS (if you didn't trash it) would work great here. Here's a few online resources:

- orglib.com questions library for 5.NBT.3a and b: There's not a lot of questions here, but what they do have are to the point and would probably be what it would look like on PARCC.
- Collection of lessons from mathworksheetland.com for 5.NBT.3b (some 3a stuff is in here as well).
- mrmaffesoli.com 5.NBT.3b worksheet resource page: Yet again, some great resources. Go ahead and bookmark this site, it's golden for everything CCSS.
- Common Core Sheets: Same as above for 3a. Good stuff, with many different versions of worksheets available.

**GAMES:**

- Balloon Pop: A simple yet great game for ordering decimals. It's a challenge, but students are sure to enjoy it.
- AAA Math Comparing Decimals: It's more like an online practice test than a game, but it really works well.

**5.NBT.3B VIDEO:**

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