Place Value &MathLine

builds the foundation for all elementary math! Place Value

Research shows: Students who understand Place Value tend to understand elementary math Students who struggle with Place Value tend to struggle with elementary math Place Value

Place Value is demonstrated many ways in curriculum, including: Place Value Expansion of numbers Explanation of numbers within their different place Understanding Ones, Tens, Hundreds and up

Place Value It is important to first understand on MathLine… blue rings indicate 5’s… red rings indicate 10’s

Place Value Here are some examples of Place Value exercises Starting with expansion of numbers…

Simple Expansion of 17? Place Value – Expansion

How many tens and how many ones in 17?

Simple Expansion of 46? Place Value – Expansion

Note the number of red rings Place Value – Expansion

How many tens and how many ones in 46? 10

Place Value – Expansion How many tens and how many ones in 46? 10

Place Value – Expansion 10 RULE – if we begin a group on one bar, it continues on the next. RULE – if we begin a group on one bar, it continues on the next. 10

Place Value – Expansion 10 RULE – if we begin a group on one bar, it continues on the next. RULE – if we begin a group on one bar, it continues on the next. 10

Place Value – Expansion 10 How many ones in 46?

Place Value – Expansion Students struggle with understanding the values for similar numbers, example: 15 & 51

Show the relationship between 15 and 51 Place Value – Expansion Put 2 MathLines front to back

Students can see the difference. Place Value – Expansion 15 51

First, identify the “1” in 51 Place Value – Expansion

Next, identify the “1” in

Place Value – Expansion See how the “1’s” in each relate Students can see that the “1” in 15 is a ten, versus the “1” in 51 is a one

Place Value – Expansion Now, look at the “5’s”, what is the “5” in 51? It is 5 tens

Place Value – Expansion 1 What about the “5” in 15?

Place Value – Expansion We can see the 5 in “51” represent 10’s

Place Value – Expansion 1 Where as the “5” in 15 is only 5 ones

Place Value – Expansion MathLine builds a concrete picture so students who struggle with switching numbers like 15 and 51… can now understand their value.

Place Value – Expansion Now use MathLine to teach Place Value of 3-digit numbers

Place Value – Expansion Using multiple MathLine’s show relationship between 362

Place Value – Expansion How do the “2’s” relate in both numbers?

Place Value – Expansion The “2” in “236” is two groups of

Place Value – Expansion While the “2” in “362” is two “ones” 6262

Place Value – Expansion How do the “3’s” relate in both numbers?

Place Value – Expansion The “3” in “236” is three groups of

Place Value – Expansion The “3” in “362” is three groups of

Place Value – Expansion How do the “6’s” relate in both numbers?

Place Value – Expansion The “6” in “236” is six ones

Place Value – Expansion The “6” in “362” is six tens

Place Value – Expansion On MathLine, students clearly see what the 2, 6, and 3 represent to each of these numbers. Teachers use many MathLine’s in sequence to teach value of numbers up to 1000.

Place Value – Expansion MathLine allows for a concise yet clear strategy to model large numbers. Students who struggle with Place Value need a concrete picture to understand the abstract symbols and the place values of each digit.

Place Value – Expansion Teachers are very creative with MathLine & Place Value exercises … As MathLine fulfills a unique need in such a fundamental concept in elementary math.