Download extended activity answers chapter 7

EXTENDED ACTIVITY ANSWERS
CHAPTER 8
ACTIVITY -- -- Different Numeration Systems
Name of the Numeration System Seen Below: Roman
LXVII = 67
CLII = 152
Name of the Numeration System Seen Below: Mayan
.. = 12
.... = 19
ACTIVITY -- -- Quipu Knots
Answers will vary.
ACTIVITY -- Drawing Base Configurations
The activity shows the regroupings to be drawn from the fifth to the tenth
regrouping or from the FLAT BLOCK to the FLAT BLOCK BLOCK BLOCK
period.
The names of each period and its regrouping (power) are shown below from
right to left as they appear in the place value system:
Power
Symbol
Period
Name
n10
FBBB
Flat
Block
Block
Block
n9
BBB
Block
Block
Block
n8
FBB
Flat
Block
Block
n7
LBB
Long
Block
Block
n6
BB
n5
FB
Block
Block
Flat
Block
Students are able to come up with the names of each generic period because
they discern the pattern in each set of configurations.
ACTIVITY -- Scales of Notation
quaternary: 1 2 3 10 11 12 13 20 21 22 23 30 31 32 33 100 101 102 103 110
octary: 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 20 21 22 23 24
senary: 1 2 3 4 5 10 11 12 13 14 15 20 21 22 23 24 25 30 31 32
ternary: 1 2 10 11 12 20 21 22 100 101 102 110 111 112 120 121 122 200
201 202
nonary: 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 20 21 22
undenary: 1 2 3 4 5 6 7 8 9 A 10 11 12 13 14 15 16 17 18 19
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septenary: 1 2 3 4 5 6 10 11 12 13 14 15 16 20 21 22 23 24 25 26
binary: 1 10 11 100 101 110 111 1000 1001 1010 1011 1100 1101 1110 1111
10000 10001 10010 10011
The student can use the ternary scale above as a guide in sketching the base 3
numeration system to the third regrouping.
ACTIVITY -- Name the Operation
This activity is self-explanatory.
ACTIVITY -- Who Am I?
Some of the clues will have more than one answer.
21; 3; 46 or 48; 65; 99
ACTIVITY -- The Answer is Five. What's the Question?
This activity is self-explanatory.
ACTIVITY -- -- Number Tile Fun
If students have not yet studied decimals, fractions, ratio, proportion, and
percent, the candidate will want to adapt these activities for whole numbers.
1. With just one digit each from 1-9 plus extra zeros, the largest possible
three-digit number is 987.
2. Answers will vary, but any decimal number between one-half and threefourths is acceptable.
3. Answers will vary, but any percent about 75% (say, between 70% and
80%) is acceptable.
Answers will vary for the remaining activities.
ACTIVITY -- Number Tile Activities
This activity is self-explanatory.
ACTIVITY -- Remove that Digit
This activity is self-explanatory.
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ACTIVITY -- Think about 32
This activity is self-explanatory.
ACTIVITY -- Make a Number
This activity is self-explanatory.
ACTIVITY -- High - Middle - Low
This activity is self-explanatory.
ACTIVITY -- Hundred Chart Fun
This activity is self-explanatory. Candidates (students) should be applying
their knowledge of place value and/or operations in explaining their reasoning.
A question you might pose to your candidates: What happens if the hundreds
chart is a 5 x 20 chart rather than a 10 x 10 chart? Why?
ACTIVITY -- Count on Five - Games 1 and 2
These activities are self-explanatory.
ACTIVITY -- Chip Trading
The artwork that was needed for the activity was not included. Here is what
should have been there.
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The directions and answers are explained within the activity itself.
Note: The color position is not significant as long as children understand that
the color to the left represents larger place value numbers.
ACTIVITY – Place Value Bingo
This activity is self-explanatory.
ACTIVITY -- Number Sense from the Russian Perspective
The grade appropriate problems will vary. The answers to the problems given
here follow.
1. 35
2. Assuming you want a nonzero answer, any number from 11-19.
3. 7,8,10,11,13,14,16,17,19,20,22,23,25,26
4. Assuming you want an integer for your solution when subtracting 8
five times, any multiple of 8 greater than 32.
5. Yes. No, the sum of two odd numbers is an even number.
ACTIVITY -- Form the Numbers with Expanded Notation Cards
The artwork is missing on the CD and is provided here.
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Answers will vary.
ACTIVITY -- Decimal War
This activity is self-explanatory.
ACTIVITY -- Decimal Monopoly
This activity is self-explanatory.
ACTIVITY -- Links for Operations
Answers will vary. One example of reasoning: If this is an addition problem
and I follow order of operations convention, then 16.1 / 2 is 8.05. I add that to
12.4 and get 20.9. Now I am left with 20.9 + __ = __. If the two placeholders
(since they are the same shape) are meant to hold the same number, then there
is no solution. If we consider that each box can be a different number, then
my solutions are infinite.
ACTIVITY – Rounding Large Numbers
This activity is self-explanatory.
ACTIVITY -- Reading Decimal Numbers
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The first and fourth examples should be the easiest to understand when
hearing the number read aloud by others.
ACTIVITY -- Abacus Action
Students can demonstrate these actions on an abacus.
ACTIVITY – Get a Charge out of Integers
This activity is self-explanatory.
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