##
* *Reflection: Developing a Conceptual Understanding
Rounding and Estimation, Day 2 - Section 4: Elevator Speech

Rounding and Estimating - put together - is a GREAT TOOL. Make sure you teach it well. It is essential for checking work. It is great for testing. Do not underestimate the power of rounding and estimating.

When I first started teaching I didn't understand why it was important. Now I take extra time, if needed, to make sure my students have a firm grasp of the concept. We use it all the time!

These place value lessons are taught first every year. Do not assume your students understand place value. It is the cornerstone of the whole year. Games are a great way for students to work with place value and extract a real understanding of the concept. My students LOVE learning in this environment.

You don't have to just use these games, get creative. Think dice, cards, anything you can think of to get them excited. Check you local game store, or even thrift stores. There are a lot of games that use place value. Or take a old game and give it new rules!

Do not short change place value. It is too important for the students to not have a solid knowledge of what it means!

*Rounding the Corner on Estimation*

*Developing a Conceptual Understanding: Rounding the Corner on Estimation*

# Rounding and Estimation, Day 2

Lesson 9 of 10

## Objective: Students Will Be Able To Round 4 digit numbers to the nearest 1000s and apply this skill to use estimation to check sums, differences, and products.

## Big Idea: Students will be able to write numbers out in word form and say numbers in standard form, using correct vocabulary of place value terms.

*80 minutes*

**Language Objective:** Students will be able to write numbers out in word form and say numbers in standard form, using correct vocabulary of place value terms.

**Prior Knowledge:** Place value and Number lines

#### Resources

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Math Blast Number of the Day 9

Math Blast is a quick, fun, fast-paced math game! It doesn't require a lot of materials - just the PowerPoint, music, white boards, and dry erase markers. I begin every day with a Number of the Day.

Math Blast is also a great place to work on Common Core skills, especially critical thinking skills, discourse and collaboration!

I usually play music while students are working (it is the "Blast" in Math Blast). They have to the end of the song to fill in their board.

In the beginning this is more time than most need, but they will use all of the time when the numbers get bigger. Math Blast is a great way to pre-teach a concept and is really good scaffolding, especially for those struggling learners. I like to add new concepts that will be learning in the near future into Math Blast. This way students are familiar with new concepts when I go to teach them. If they haven't figured out the work through Math Blast they will have at least seen the concept.

I allow table mates to support each other, this is also a good way to support struggling learners.

The basic content my Math Blast covers is:

- Begin with prior knowledge tasks, factoring GCF, LCM. In 5
^{th}grade this is really good to have understanding for going into fractions. - I always add some rounding and estimation, good tools to know and it is pre-teaching our next lesson.
- I always like to end with a word problem to challenge and support students' skills in answering a problem with what the question is requesting them to do.

The closing piece of Math Blast is See, Think, and Wondering.

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#### See, Think, Wondering

*5 min*

I end Math Blast and lead into my lesson with a See, Think, Wondering. The art I choose always relates to the unit I am teaching.

See, Think, Wonder is a dynamic way to get your students to think deeper about a subject without them knowing that they are doing it.

The SEE part is pretty basic thinking. *I see….*

The THINK part is intended to get students to think about things in ways they haven't before. This is a fun way for students to make connection to the things we're learning in math. In my class, we'll be thinking about math and art. I use art because I am passionate about art. Use examples of things that ignite your passion! *This art makes me think about…*.

And the WONDER requires enough engagement with the topic (the art) to be able to come up with a question. *This art makes me wonder if….*

See, Think, Wonder is my way to getting their brains ready to think about math and I find that the transition is great. It is also a quick chance to expose my students to different types of art.

Note: I've added a See, Think, Wondering separate from the Math Blast in case you want to do it by itself. It is also attached at the end of the Math Blast PowerPoint.

Note: You don’t have to use art; I use art because I am passionate about art. Use examples of things that ignite your passion!

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#### Elevator Speech

*10 min*

Two things to teach today using rounding to estimate: (use a ‘teach than practice, repeat’ approach to deliver these). It is important that you "do the math" with the model problems, as well as the problems students will tackle. We don't always make the best choices. Better to find out before using them with students.

Front End Estimation (addition): This form of estimation is used when making a quick estimate. You use the first digit of a group of numbers and add them up.

Example: 4587 + 2341 + 2541 + 3625 is front end estimated to:

5000 + 2000 + 3000 + 4000 = 14,000

Or 4235 – 2314 becomes 4000 – 2000 = 2,000

Estimation for a Product: Example 6235 x 7 would be 6000 x 7, 6 x 7 = 42 so 6000 x 7 = 42000. 6235 x 7 is approximately 42000. Have a conversation about why and when it might be useful to use this strategy.

Possible story: Working in candy factory. Ask the students what kind of candy. As employees of the candy factory, students' job is to put the candy into packaging. Over the course of a month, you’ve packaged 6235 packages of candy. Your boss wants to know an estimate on how much candy you package in 7 months.

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#### Work It Out

*40 min*

Have students create their own story problems. There is power in having students create their own word problems. Creating their own word problems helps gain strength in reading word problems. They can also give their problems to other students or create them in teams. It also allows students the chance to create work that they feel successful in solving. You can have students work individually or in their math teams (3-4 people). Creating work on over-sized posters to display motivates students to do their very best work.

As students finish work, have a classroom gallery walk. As they "tour", students take their notebooks and do the math. I like to take these posters to our main hall and have a real gallery walk. Taking the students out of the classroom gives it a more 'professional' feel!

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#### Closing It

*5 min*

Today's closing is a reflection on the gallery tour. Students participate in a class discussion on what worked, what didn't, successes and struggles with today's work. It is important to honor each student's experience with doing this project.

Closing is essential to bringing all the learning around the original objective. It gives students a chance to reflect on what they learned. Ending a lesson without a closing is an incomplete lesson and a missed opportunity.

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#### Quick Assessment

*5 min*

Give one problem each of estimating product and quotient:

398 x 4 (400 x 4 = 1600) 135 ÷ 7 (140 ÷ 7 = 20)

Have students do their work on a post it note, and put it on the Post It Poster!

Look-Fors: Rounding to numbers that do not work: 398 x 4 becomes 390 x 4. While not entirely incorrect it would be efficient and demonstrates a lack of understanding of the concept of rounding.

#### Resources

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##### Similar Lessons

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- LESSON 1: Math Blast...It's A Numbers Game
- LESSON 2: Math Norms: Setting the Stage for Math Workshops!
- LESSON 3: Place Value: The Games of Total Recall
- LESSON 4: Working with Numbers up to 10,000,000 Day 1
- LESSON 5: Working with Numbers to 10,000,000 Day 2 - Standard to Word form with Numbers
- LESSON 6: Everything In Its Place: Place Value
- LESSON 7: Comparing Numbers to 10,000,000
- LESSON 8: Rounding and Estimation, Day 1
- LESSON 9: Rounding and Estimation, Day 2
- LESSON 10: Rounding and Estimation, Day 3