Midpoint Between Hundreds (above level)  Section 2: Finding the Halfway Point between Hundreds
Rounding to the Hundred's Place
Lesson 2 of 7
Objective: SWBAT round to the nearest hundred by evaluating the place value and relationships of numbers.
Big Idea: Students must have a welldeveloped understanding of place value in order to be able to round to the closest hundred.
This is an abstract, twostep process and one with which they need specific, straightforward practice.
I directly teach the following examples. As I draw the number lines, I explicitly talk through each step. I count up to the halfway point by tens, mark the halfway point, and reiterate that from that halfway point on we round up to the next number. Depending on the needs of the group I might teach fewer or more examples than those listed below.
halfway/midpoint (hundreds)
600 and 700 
1400 and 1500 
7700 and 7800

11,200 and 11,300 
20,000 and 20,100 
33,400 and 33,500

600,000 and 600,100 
820,200 and 820,300 
550,500 and 550,600

Based on what I observed during the guided practice, I give them one of 3 short practice pages on finding the halfway point between two hundreds. I collect the practice pages and review them after school to determine how to differentiate in the next lesson. I often spend two days on this lesson as well.
Midpoint Between Hundreds (extra support)
Midpoint Between Hundreds (on level)
Midpoint Between Hundreds (above level)
Resources (3)
After we've practiced identifying the halfway point between two hundreds, I reteach the skill of finding the hundred before/after the number they are given to round.
I directly teach counting down and up to the closest hundred for the following examples because I have found some students do not identify the closest hundred. For example, for the number 1234, some students may identify 1000 and 1300 as the closest tens.
I do not require students to Mark the Ten Intervals if they don't need to, but many of them find it helpful.
835, 487, 65, 2430, 5287, 2455, 9,502, 11,283, 14,900
Based on what I observed during the guided practice, I give them one of these three short practice pages on rounding to the closest hundred.
Rounding to Closest Hundred (extra support)
Rounding to Closest Hundred (on level)
Rounding to Closest Hundred (above level)
I give my students one of these tasks, but instead of using the papers I wrote the numbers up on the board, labeled them group A, group B and group C, and had them copy the problems onto lined paper. I made sure they left enough space between their number lines.
I place most kids in a group based on what I'd observed in their work. For those students I wasn't sure about where they belong, so I let them choose. I also tell them that if I'd placed them in a group that didn't seem like it was the right level for them to learn (either too difficult or too easy) that they could switch themselves. Nobody asks to switch, but several children ask if they can do another level once they finish the assigned one. Of course I say yes!
The advantage to doing this using the work pages is that student errors from copying are eliminated. Also, perfectionist students don't spend an interminable amount of time making straight number lines and children with handwriting difficulties aren't pulled off track by all the writing. Finally, the scaffolded pages above have part of the number line completed. In my classroom, I had to call this group over and do those parts with them.
The advantage to doing it on scrap paper is that I can easily adjust a child's level at any time by switching them to a different list or giving them completely different numbers. I have two children who have completely mastered this skill. To be certain, I give them ridiculously large numbers to make sure they can still do and explain their work. They can.
Resources (4)
Exit Ticket
Ask children to either write or be prepared to verbally explain their answer to these questions:
How is rounding to the hundred's place similar to rounding to the ten's place? How is it different? Do you find one easier than the other? Explain why or why not.
I can't always take detailed notes but I make a point to take the time to do so at least once a week for each student. When I'm creating lessons, I break down the standard into the smallest components and plan to address each of those components. The same list I use for planning, creating and revising lessons can work as a student checklist, as I know each of these smaller tasks will be addressed in the unit. I find it helpful to type up quick notes about student errors because these help me plan reteaching and extension and their errors can also inform me about what I can improve in delivering the content. This is an example of notes I took during this unit on rounding.
I keep these notes in mind during tomorrow's lesson, Stories in Stone, in which the rounding practice is embedded in geology content.
Resources (1)
Resources (1)
Resources
Shauna, I'm so glad that this lesson was helpful! Now that I'm teaching these lessons for a second year, I'm putting in more differentiated pages. For example, I have a multiplication lesson w/frogs that has a very high content level. I'm adding in a more basic page with just enough content to grab students' interest, I hope. Please let me know if you come across a lesson you'd like to use that needs more differentiation. Have a great school year!
 2 years ago  Reply
This lesson has been so helpful! I have all three levels of children in my class and this level of differentiation has been amazing! I can already see the benefits for the kids who need it. The ones who are above level are ready to move on and I don't want to hold them back. This is my first year teaching and I am so grateful! Thank you!
 2 years ago  ReplySimilar Lessons
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 UNIT 1: 1st Week: Getting to Know Each Other Through Graphs
 UNIT 2: Addition and Subtraction
 UNIT 3: Multiplication
 UNIT 4: Introduction to Basic Division
 UNIT 5: Division in Context
 UNIT 6: Time
 UNIT 7: Rounding
 UNIT 8: Place Value Practice
 UNIT 9: Fractions
 UNIT 10: Math and Me: Nutrition, Health and More
 UNIT 11: Geometry in Architecture
 UNIT 12: Time Cycle 2
 UNIT 13: Patterns in Math
 UNIT 14: Area and Perimeter
 UNIT 15: Solving MultStep Word Problems Using the Four Operations
 UNIT 16: Musical Fractions
 UNIT 17: Volcanoes (Data Collection, Graphs, Addition & Subtraction)
 LESSON 1: Rounding to the Ten's Place
 LESSON 2: Rounding to the Hundred's Place
 LESSON 3: Stories in Stone (Rounding to the Tens Place)
 LESSON 4: Rounding to the Closest Ten Above One Thousand
 LESSON 5: Colossal Fossils
 LESSON 6: A Trip Through Time (Word Problems, Including Rounding)
 LESSON 7: Rounding  Unit Assessment