Transcript Tile Tutorial

ALGEBRA TILES TUTORIAL
created by J. Wright
The four basic operations
demonstrated using
signed numbers
Hit the Back Arrow at any time
to end the presentation
ALGEBRA TILES TUTORIAL
Explanation
Add
Subtract
Multiply
Divide
Click “Explanation” for the
entire show or click on an
operation.
Our Tiles:
I’m equal to +1!!
I’m equal to -1!!
+
-
The Rules:
Add
Subtract
Rule #1:
a + (- a) = 0
+
+ - =0
Multiply
Divide
Home
Rule #2:
a+0 =a
+
+ +
-
= +
Addition (Both +):
Solve the following problem using tiles:
Model 2…
+
2+3
Model 3… +
+
+
+
Addition means to combine, so…..
+
+
+
+
+
=5!
Addition (Both -):
Solve the following problem using tiles:
-2 + (-3)
Model -2…
-
-
Model -3…
-
-
-
Addition means to combine, so…..
-
-
-
-
-
= -5 !
Addition (+ and -):
Solve the following problem using tiles:
Subtract
Multiply
Model 2...
+
2 + (-3)
+
Model -3…
Divide
-
-
-
Addition means to combine, so…..
Home
+
-
+
Zero
Zero
-
-
= -1 !
Subtraction:
TAKE AWAY
MEANS:
….OR….
ADD THE OPPOSITE !
So… 7 - 2 is equal to...
7 - (+2)
….OR….
7 + (-2)
Subtract (+ and -):
Solve the following problem using tiles:
Review
Addition?
Model 2…
+
2 - (-3)
Model -3…
+
-
-
-
Subtraction means ADD the OPPOSITE, so…..
+
+
+-
+-
+-
=5!
Subtraction (- and +):
Solve the following problem using tiles:
Review
Addition?
-2 - (+3)
Model -2…
-
-
Model 3…
+
+
+
Subtraction means ADD the OPPOSITE, so…..
-
-
+-
+-
+-
= -5 !
Subtraction (Both + or -):
Solve the following problem using tiles:
Add
Multiply
Model 2...
+
2 - (+3)
+
Model 3…
Divide
+
+
+
Subtraction means ADD the OPPOSITE, so…..
Home
+
+
+-
Zero
+-
+-
= -1 !
Multiplication:
What does multiplication mean?
2X3
The 2 means two
piles…..we’ll use
rectangles!
The 3 represents
how many objects
are in each pile
Multiplication (Both +):
Solve the following problem using tiles:
2X3
+
+
+
Create 2 piles
Add contents of all
rectangles!
Fill each rectangle
with 3 tiles
=6!
+
+
+
Multiplication (+ and -):
Solve the following problem using tiles:
2 X (-3)
-
-
-
Create 2 piles
Add contents of all
rectangles!
Fill each rectangle
with 3 negative tiles
= -6 !
-
-
-
Multiplication (Both -):
Solve the following problem using tiles:
Add
Subtract
Divide
Home
-2 X (-3) = -[2 X (-3)]
Let’s rewrite this
2 XBut
(-3)…..We
already
don’t forget
the
problem using
solved
that example!
sign outside
the
brackets!
brackets!…We
Let’s model want
+-
+-
+-
- +- ++
Let’s look inside
the brackets...
=6!
the OPPOSITE so...
the answer!
Division:
What does division mean?
62
The 6 represents
the total number
of objects
The 2 means
separate into two
piles…..we’ll use
rectangles!
Division (Both +):
Solve the following problem using tiles:
62
+
+
+
+
+
+
+
+
+
Model 6
Separate into
2 equal piles
=3!
Add contents of one
rectangle!
Division (+ and -):
Solve the following problem using tiles:
-6  2
-
-
-
-
-
-
-
-
-
Model -6
Separate into
2 equal piles
= -3 !
Add contents of one
rectangle!
Division (Both -):
Solve the following problem using tiles:
Add
Subtract
Multiply
Home
-6  (-2) = -[(-6)  2]
Let’s rewrite this
- ++- +using
problem
brackets!
- +Let’s+-look+inside
the brackets...
-6  2…..We already
But don’t forget the
solved that example!
sign
=outside
3 ! the
Let’s model want
brackets!…We
the the
OPPOSITE
answer!so...