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Place Value &MathLine. builds the foundation for all elementary math! Place Value.

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Presentation on theme: "Place Value &MathLine. builds the foundation for all elementary math! Place Value."— Presentation transcript:

1 Place Value &MathLine

2 builds the foundation for all elementary math! Place Value

3 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

4 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

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

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

7 Simple Expansion of 17? Place Value – Expansion

8 How many tens and how many ones in 17?

9 Simple Expansion of 46? Place Value – Expansion

10 Note the number of red rings Place Value – Expansion

11 How many tens and how many ones in 46? 10

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

13 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

14 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

15 Place Value – Expansion 10 How many ones in 46?

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

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

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

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

20 Next, identify the “1” in

21 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

38 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.

39 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.

40 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.


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