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# Place Value Packet

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### PRODUCT DESCRIPTION

The Goal of the Place Value Mat is to build a solid foundation in place value in an effort to have students understand the standard algorithms associated with the operations.

This packet includes
1. A Place Value Mat/Standard Algorithm Sheet (2 sided)
2. An Instructional Sheet that tells teachers how to use the place value mat.

Excerpt from Instructional Sheet

Place Value Mats

Using Place Value Mats are perfect for helping students gain a concrete understanding of place value. They lend themselves well to the concrete - pictorial - abstract model. Generally, as a rule every time you see a place value chart in the textbook or workbook take it as a sign to actually pull out the place value mat and have the students add the numbers up that way instead of in the textbook. The Place Value Mats allow for easy concrete representation of numbers with other numbers like 1, 10 ,100, and 1,000 not with digits.

Important Considerations:
• When using the PV mat make sure to use PV language as much as possible i.e. I need to trade in my 10 ones for 1 ten. The sum is 4 tens and 7 ones. Especially, use this language during the standard algorithm discussion. It is about drilling that 47 is really just 4 tens and 7 ones. This takes a lot of practice to name numbers by place value. Make sure you are ready to name the numbers correctly so the students can model it. Ideally, you will have students calling every number by the place value name which shows a very thorough understanding of place value.
• Since the Place Value charts can only be so big and fit so many number chips, always be aware of what the biggest number a student can make before giving problems.

Materials:
1: Laminated Place Value Mat and Standard Algorithm Sheets (attached in zip file)
2: DIY Soft fabric like chips (so they are not very aerodynamic) 15 1 Chips, 15 10 chips, 15 100 chips, et. al.
3: for less materials management you can have the students simply use dry erase marker after you feel they have already experience the concrete part of the lesson.

3 Phases of Working with the Place Value Mats
There are three phase foundational phases to ensure the thorough understanding of the operations and the respective standard algorithm. Each phase should be done until the teacher sees it fit to advance. The end goal is complete mastery of each operation with a focus on place value and the corresponding standard algorithm. At the end of the course the standard algorithm will simply be called and understood as the shortcut.
1. Building and Naming #’s
a) In the building and naming phase you have students build numbers and record them. This phase is heavy in naming every number by place value which is essentially recognizing equivalences i.e. 52 is 5 tens 2 ones. 52 = 50 + 2.
• Building: This phase consists of having students simply building numbers i.e. build 47 and then build that same number another way.
• Naming #’s: Focus on naming the numbers in place value language i.e. don’t say 12 say one ten and 2 ones. 47 or 4 tens and 7 ones.
• Fun Fact: Every one digit number only has one name, every two digit number has two names, every three digit number has three names.
Total Pages
4
N/A
Teaching Duration
1 Semester

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