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Early Number Centers/Activities
PLEASE put personal belongings at the back of the class for this portion of the class
Spend a few minutes exploring the
Early Number Activities.
Number Books Grab and Count
Pattern Block Fill In
How Many Am I Hiding?
3 Towers of 10 5 in a Row
Roll and Record
Double Compare Dots
Compare Dots Where Do I Go?
Stairs
Make a Tower
Tall Towers
Crazy Mixed Up Numbers
Dot cards
Ten Frames
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Place Value
Education 4173
Teaching Mathematics in
Elementary SchoolClass 5
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3
Whats theDifference
Between Place
Value and Base-10 Skills?
VDW video clip #1, p.122
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Digit Correspondence
18
4
http://illuminations.nctm.org/Reflections_preK-2.html
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Levels of Place Value Understanding1. Single Numeral
- child writes 18 but views it as a single numeral. The individualdigits 1 and 8 have no meaning by themselves.
2. Position names
- the child correctly identifies the tens and ones positions but stillmakes no connections between the individual digits and the
counters.3. Face value
- the child matches 8 blocks with the 8 and 1 block with the 1.
4. Transition to place value
- the 8 is matched with eight blocks and the 1 with the remaining 10blocks but not as 1 group of 10.
5. Full understanding
- the 1 is correlated with the 1 group of ten blocks and the8 with the eight single blocks.
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Numeration Principles (Place Value)
1. Group in tens for convenience so that 10 digits (1-10) representall numbers.
The language can be a problem for students.
Ten ones makes one ten. Ten tens makes one hundred, etc.
proportionalmaterials
324non-proportionalmaterials
Hundreds Tens Ones
6
VDW p. 128 :wshop
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1. Roll the die and take that many red counters.
2. Once you have 3 red counters, trade for 1 bluecounter.
3. Once you have 3 blue counters, tradefor 1 green counter.
4. Once you have 3 green counters, trade
for 1 purple counter.
The first one with 1 purple counter wins.
Race for Purple Version 1
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1. Roll the die and take that many redcounters.
2. Once you have 4 red counters, trade for 1
blue counter.
3. Once you have 3 blue counters, trade for 1green counter.
4. Once you have 2 green counters, trade for 1purple counter.
The first one with 1 purple counter wins.
Race for Purple Version 2
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2. There are patterns in our numeration system,
each place value is 10 times the value of the place
to the right.Thousands
1000
Hundreds
100
Tens
10
Ones
1
Tenths
0.1
Hundredths
0.01
Thousandths
0.001
10 x 100 10 x 10 10 x 1 1 1 x 1
10
1 10
0.1 x 1
10
0.1 10
0.01 x 1
10
0.01 10
There are patterns in the way numbers are written and read.
234 123 345
HTO HTO HTO
Millions Thousands Ones
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flat rod cube flat rod cube flat rod cube flat rod cube
HUNDRED TEN ONE HUNDRED TEN ONE HUNDRED TEN ONE HUNDRED TEN ONE
BILLIONS MILLIONS THOUSANDS UNITS
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0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
40 41 42 43 44 45 46 47 48 49
50 51 52 53 54 55 56 57 58 59
60 61 62 63 64 65 66 67 68 69
70 71 72 73 74 75 76 77 78 79
80 81 82 83 84 85 86 87 88 89
90 91 92 93 94 95 96 97 98 99
Find the patterns13
VDW p. 122, clip 2
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34 36
45
13 15
27
35
Fill in the empty spaces
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Numbers have many different forms.
Show many different ways to represent the number 257
using pictures and words.
Th
is beco
mes impo
rtant for many
of th
e algo
rith
msinvolving +, -, x, and .
i.e. To subtract 312 -178, students must regroup or see 312
as 2 hundreds, 10 tens and 12 ones.
You may want to re-write large numbers
i.e. 3 600 000 as 3.6 million
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A symbol is required for a placeholder in the
place value system.
3 0 4
Thousands Hundreds Tens Ones
16
RIDDLES
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Numbers can be compared.
Make a list of all the numbers you can make using thefollowing digits. You can make one, two and three digitnumbers.
Put your numbers in order from least to greatest.
What is your smallest three digit number?What is your largest three digit number?How do you know the largest number is more than thesmallest even though all three digits are the same?
8 6 3
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Place Value Game
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Are 35 and 53 the same? Why or why not?
How can you use the number of digits to tellyou how large a number is?
How do you compare numbers when there arethe same number of digits?
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Does this activity support the development of place
value?
How many tens and ones in the
following numbers?
What about this?
tens ones
27
38
60
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xploring Large Numbers
Think about 1 million pennies. How many loonies? How many toonies? How many $100 bills? If you lined up 1 million pennies against a wall, how
long would the line be? If you made a square of 1 million pennies lying flat, as
close to each other as possible, how long would theside of the square have to be? How long would it take you to roll 1 million pennies? How high a stack would 1 million pennies make?
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How old are you?15 0000 days? 80 000 hours? 150 million seconds?
Write your age in years:Guess your age in each different unit oftime listed below, then work out the answer.
You may use a calculator to help you.
How old are you in? Your guess Your calculation
months
days
hours
seconds
minutes
Remember:
1 year = 12 months
1 year = 365 days
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60
seconds
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A Dot for Every Second in the Day
How many seconds in a day?
The MegaPenny Project
Grains of Salt
a thousand in a pinch a million in a cup
a billion in a bathtub a trillion in a classroom
http://www.vendian.org/envelope/dir0/grain_feel.html
Link
Link
Link
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Counting Large Numbers
-By 1s, 10s, 100s, 1000s
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The population of a town is 15 197.A new
family moves to town. What might the
population be now?
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Rounding Large Numbers
-Round 121 to the nearest hundred
-Round 121 to the nearest ten
100 150 200
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Preparation for Monday
} Fractions of a Rectangle (For Tuesday)
} Read Chapter 9 (Fractions) for Tuesday,Making Math Meaningful
}Download SMART Notebook Software
} Bring your Computer/cord/internet cableif you dont have wireless/etc. to class onMonday