How to read an input/output table
In this station, you will analyze your input/output tables for each room to list the transformations in
the correct order.
1. Place completed input/output table in front of you
2. Glance over the headings at the top of the table to quickly understand the amount of
transformations that are being conducted.
a. Read the headings from left to right.
3. The column all the way at the left is the first column. Read the first column from top to
bottom. This column should be labeled “X”
a. This is a list of all the x-coordinates that are being used.
4. The column next to the “X” column is the second column. This column should be labeled “Y”. Read
this column from top to bottom
a. This is a list of all the Y-coordinates that are being used
5. The column next to the “Y” column is the third column. Read the heading of this column
a. Does the column use the x or the y? or both?
i. If the column uses the x
1. Is there anything being added to x?
a. This is a translation right by the number of units being added
2. Is there anything being subtracted from x?
a. This is a translation left by the number of units being subtracted.
ii. If the column uses the y
1. Is there anything being added to the y?
a. This is a translation up by the number of units being added
2. Is there anything being subtracted from the y?
a. This is a translation down by the number of units being subtracted
iii. If the column uses both
1. Are the coordinates set up as (X, Y)?
a. Is the x negative?
i. This is a reflection over the y-axis
b. Is the y negative?
i. This is a reflection over the x- axis
2. Are the coordinates set up as (Y, X)?
a. Is the x negative?
i. This is a rotation 90 degrees clockwise
b. Is the y negative?
i. This is a rotation 90 degrees counter clockwise
b. Write the answer you found on the list provided on the back.
6. Read the next column. Use step 5 to determine the action being performed in this column.
7. Repeat steps 5 & 6 until you have read each column.
Room 1: Room 2:
Column 3: ______________________ Column 3: ______________________
Column 4: ______________________ Column 4: ______________________
Column 5: ______________________ Column 5: ______________________
Column 6: ______________________ Column 6: ______________________
Column 7: ______________________ Column 7: ______________________
Room 3: Room 4:
Column 3: ______________________ Column 3: ______________________
Column 4: ______________________ Column 4: ______________________
Column 5: ______________________ Column 5: ______________________
Column 6: ______________________ Column 6: ______________________
Column 7: ______________________ Column 7: ______________________
Client Designed Room: Extra Room:
Column 3: ______________________ Column 3: ______________________
Column 4: ______________________ Column 4: ______________________
Column 5: ______________________ Column 5: ______________________
Column 6: ______________________ Column 6: ______________________
Column 7: ______________________ Column 7: ______________________
How to talk like a mathematician
Use the graphic organizer below to translate the words you used into math terms
What I said What I should have said
Move right, slide right, Translate right ___ units
Shift right __ units
Move left, slide left Translate left ___ units
Shift left __ units
Move up, slide up Translate up __ units
Shift up __ units
Move down, slide down Translate down __units
Shift down __ units
Turned it right, turned it right 90 degrees Rotate 90 degrees clockwise
Turned it left, turned it left 90 degrees Rotate 90 degrees counterclockwise
Flipped it over the x-axis, flipped it over the Reflect over the x-axis
horizontal line
Flipped it over the y-axis, flipped it over the Reflect over the y-axis
vertical line
Using the graphic organizer above, improve your sentences so you sound like a mathematician.
My original sentence: ____________________________________________________________
____________________________________________________________________________
New Sentence: ________________________________________________________________
____________________________________________________________________________
My original sentence: ____________________________________________________________
____________________________________________________________________________
New Sentence: ________________________________________________________________
____________________________________________________________________________
My original sentence: ____________________________________________________________
____________________________________________________________________________
New Sentence: ________________________________________________________________
____________________________________________________________________________
Making Sense of Math Vocabulary
At this station you will use your completed and teacher edited paragraphs. You will write down each
mathematical vocabulary term you used in your project and use the textbook to write the definition of
the word. Then, you will decide if this what you were trying to say and will use the following steps to
find the term you were looking for.
Vocabulary term I used: ________________________________________________________
Definition: __________________________________________________________________
__________________________________________________________________________
Was this what I was trying to say: yes no
What I was trying to say: ______________________________________________________
_________________________________________________________________________
Use the list of vocabulary terms from yesterday to determine which term matches what you were
trying to say
New term: ________________________________________________________________
Definition: ________________________________________________________________
________________________________________________________________________
This term describes what I was trying to say because: _______________________________
________________________________________________________________________
Vocabulary term I used: ________________________________________________________
Definition: __________________________________________________________________
__________________________________________________________________________
Was this what I was trying to say: yes no
What I was trying to say: ______________________________________________________
_________________________________________________________________________
Use the list of vocabulary terms from yesterday to determine which term matches what you were
trying to say
New term: ________________________________________________________________
Definition: ________________________________________________________________
________________________________________________________________________
This term describes what I was trying to say because: _______________________________
________________________________________________________________________
Vocabulary term I used: ________________________________________________________
Definition: __________________________________________________________________
__________________________________________________________________________
Was this what I was trying to say: yes no
What I was trying to say: ______________________________________________________
_________________________________________________________________________
Use the list of vocabulary terms from yesterday to determine which term matches what you were
trying to say
New term: ________________________________________________________________
Definition: ________________________________________________________________
________________________________________________________________________
This term describes what I was trying to say because: _______________________________
________________________________________________________________________
Vocabulary term I used: ________________________________________________________
Definition: __________________________________________________________________
__________________________________________________________________________
Was this what I was trying to say: yes no
What I was trying to say: ______________________________________________________
_________________________________________________________________________
Use the list of vocabulary terms from yesterday to determine which term matches what you were
trying to say
New term: ________________________________________________________________
Definition: ________________________________________________________________
________________________________________________________________________
This term describes what I was trying to say because: _______________________________
________________________________________________________________________
Vocabulary term I used: ________________________________________________________
Definition: __________________________________________________________________
__________________________________________________________________________
Was this what I was trying to say: yes no
What I was trying to say: ______________________________________________________
_________________________________________________________________________
Use the list of vocabulary terms from yesterday to determine which term matches what you were
trying to say
New term: ________________________________________________________________
Definition: ________________________________________________________________
________________________________________________________________________
This term describes what I was trying to say because: _______________________________
________________________________________________________________________
Peer Review Checklist
Work with a partner to review each other’s work by using the following checklist. As you are checking
your peer’s work, make sure they have the necessary components described in the checklist. If they
are missing one of the components or could improve, let them know how they can make their project
better!
Checklist
1. Did they use the correct vocabulary? This means that the terms they used
match the action performed. For example, they wrote that they translated
the shape but actually rotated the shape. This also means that the term ____________
they used matches the action in the input/output table. For example, they
wrote that they rotated the shape but they actually translated the shape
by adding 3 to the x value. If you are unsure, consider the worksheet
“Making sense of math vocabulary”.
Feedback:
2. Did they describe their transformations in the order listed on their
input/output table? This means that they listed a translation first in their
writing and in their input/output table. For example, they wrote that they ____________
translated the shape first, but their input/output table indicates that they
rotated it first. This also means that the direction of their transformation
matches their writing. For example, they wrote that they translated the
shape to the right but their input/output table indicates that they
translated the shape to the left. If you are unsure, consider the worksheet
“How to read an input/output table”
Feedback:
3. Did they use only mathematical vocabulary? This means they only used
mathematical terms such as translate, rotate, reflect and shift. This also
means that they got rid of phrases such as “moved right” and “flipped over
the x-axis”. If you are unsure, consider the worksheet “How to talk like a
mathematician”.
Feedback:
