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2). Instructions Current Value Algebra Tiles Pick any number. a). Now add 3.b). Multiply that answer by 2. c). Subtract 6 from that answer. d). Divide that answer by 2. e). 5 Here are my answers = 8 2 = 16 – 6 = 10 2 =
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• Author: Kevin Hall
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2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
Please fill in this
column on your own.
What did you notice?
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
Here are my answers.
8
16
10
5
5 + 3 =
8 • 2 =
16 – 6 =
10 2 =
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5This shows that the trick works when you start with 5.
But how can we know if it will work for ANY number?
8
16
10
5
5 + 3 =
8 • 2 =
16 – 6 =
10 2 =
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
This represents x. x
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
It could be any length.
x
…because x is a variable.
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
It could be any length.
5
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
It could be any length.
7
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
It could be any length…
10
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
It could be any length…
11
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
x 1 1 1
x
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
Original number
Final picture:
2).Instructions
Current Value Algebra Tiles
Pick any number.
a).
Now add 3.b).
Multiply that answer by 2.
c).
Subtract 6 from that answer.
d).
Divide that answer by 2.
e).
5
8
16
10
5
We proved that it works
when you start with
ANY number.
Final picture:
Do I need slides for the number trick with pictures shown in packet?
4). Please write down these expressions and then draw each picture.
a). b). c). 4 + 2 4 – 2 3 • 2
or
Just watch these examples to help you with the next questions on the sheet.
Examples:
Ex. 1 Ex. 2 Ex. 3
8 x 3(x+1) 4 2
x 2
x 1
8 4 = 2
3(x+1)
4). Please write down these expressions and then draw each picture.
d). e). f). 4x x + 4 6 2
g). h). i). 4x + 2 4(x+2) x 3
Why are these different?
What would be the difference between the pictures of 5(x + 3) and 5x + 3 ?
Discuss this Example
5(x + 3) 5x + 3
Your prediction?Why?
4). Please write down these expressions and then draw each picture.
j). k). 4x + 6 2
4x 2 + 6 Draw “4x + 6” first.
Now divide by 2.
4). Please write down these expressions and then draw each picture.
j). k). 4x + 6 2
4x 2 + 6
Why keep all 6 squares here?
Why NOT keep all 6 squares here?