summer class 5 whole number place value

8/2/2019 Summer Class 5 Whole Number Place Value

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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.

5


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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

10


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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

12


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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

15


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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

summer class 5 whole number place value

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