| Begin with ROPES using the math strategies.
R-Read the problem
O-Omit unnecessary information
P-Plan, using the strategies.
E-Efficiently carry out the plan.
S-Study the results and check for accuracy.
Some strategies we will use:
DRAW A PICTURE
1. Think of symbols to use.
2. Draw the symbols.
3. Record the information and solve.
ACT IT OUT
1. Choose objects.
2. Sort or group the objects to show problem.
3. Find the solution.
MAKE A LIST
1. Figure out relationships (# of categories).
2. Draw the table needed for the # of categories.
3. Fill in information.
4. Use to find solution.
Some other strategies we will use:
GUESS AND CHECK
FIND A PATTERN
LOGICAL REASONING
CREATE A GRAPH
WORK BACKWARD
THIS IS COOL!
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
Brilliant, isn't it?
And finally, take a look at this symmetry:
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111=12345678987654321
† Remember this...
I hear, and I forget...
I see, and I remember...
I do, and I understand.
-a Chinese proverb
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