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ALGEBRAIC THINKING
An Advertisement for Algebra!
Pick 2 positive integers and form
the following list of 6 values
1.
2.
3.
4.
5.
6.
First number chosen.
Second Number chosen.
The sum of the two numbers.
Twice the sum of the two numbers.
Add lines 3 and 4.
Repeat the result of line 5.
An Example with 33 and 11
1. First number chosen.
2. Second Number chosen.
3. The sum of the two
numbers.
4. Twice the sum of the two
numbers.
5. Add lines 3 and 4.
6. Repeat the result of line 5.
33
11
44
88
132
132
TRY IT WITH THESE
You will amaze
your friends when
you can quickly
add up these
numbers!
1. 123456
2. 654321
3. 777777
4. 1555554
5. 2333331
6. 2333331
The Secret to quickly adding
these up – it’s 10 times line 3
STEP
1
2
3
4
5
6
TOTAL
NUMBER
X
Y
X+Y
2(X+Y)=2X+2Y
3X+3Y
3X+3Y
10X+10Y=10(X+Y)
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