Week 2
Friday, August 03, 2012
2:56 PM
This week is all about DIXI RODY…
We are going to cover Domain,Range/Input,Output/X&Y Values this week
and have a quiz on Friday.
D Domain
I
X
I
Input
X Values
Independent
R Range
O Output
D Dependent
Y Y Value
Vocab Words for the Week:
Function
Input
Output
Evaluate
X-Values
Y-Values
Function Notation
Coordinate Plane (Vocab from last week)
Mapping
Graph
Table
Verbal
Math Symbols and notations
(x,y)
f(x) =x
D:{1,1,1,}
R:{1,1,1}
D:{3 < x < 9}
R:{3 > y > 9}
D:{3 < x < 9}
R:{3 > Y> 9}
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Domain
Range
Discrete
Continuous
Open/Closed Circle
R:{3 > Y> 9}
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Input and Output-Mon
Friday, August 03, 2012
3:22 PM
The first letters we are going to learn in DIXI RODY are the I in DIXI and the O in RODY.
We are going to learn a letter in each word. Check out this website that gives you a
great visual on what input and out looks like. http://nlvm.usu.edu/en/nav/frames_asid_
191_g_3_t_1.html
In math there are special relationships called functions where one unique input
matches with one output
Think about the function we'd mentioned earlier. Y= X+3. My INPUT is X My OUTPUT is Y.
If I plug in a 3 into the X I get a 6 right? If I plug in a 3 again what should the answer be?
Can it be anything else
No it can't 3 + 3 will always be 6 and only 6 no other number. This is a key idea with
functions
Every input can only have 1 output.
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X Values and Y Values-Tue
Friday, August 03, 2012
7:14 PM
Yesterday you were introduced to DIXI RODY, and we went over
Input and Output.
Today's lesson is on X and Y values. X and Y are letters we use to
represent input and out. It is important to note that even though X
and Y are commonly used in science and math any letters can be
used to represent X and Y. For example, let's say I pay someone to
paint my office. Some companies pay their workers for each hour
they work. Let's say hours is my input and pay is my output. I could
say hours=h and pay=p.
One way we note a function is by using function notation. Let's use
the example of the painter . Our input is still h=hours, but our
output looks a little different. We write it like this, pay = p(h).
So if the painter got $10 an hour the function would look like
p(h) = 10h ….We say "p is a function of h" or "p varies with h"
Remember (h) is INSIDE the parentheses and INSIDE the equation
COMMON MISTAKE: p(h) is the output...you don't plug numbers
into both of those letters. Remember the function machine
More on that later….
X Values and Y Values, remember can be shown on a table, graph,
verbal, mapping, coordinates. Last week we looked at the Coordinate
Plane.
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ONLY PLUG NUMBERS INSIDE THE EQUATION
p(h) looks like an equation but it is not. It is the
OUTPUT
Remember DIXI RODY, every letter has a partner on the other letter. Let's review what we've covered so
far:
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Domain and Range-Wed
Saturday, August 04, 2012
7:43 AM
We are going to spend a couple of days exploring Domain and Range because students have difficulty naming
domain and range. If you remember that
Domain just means allowable X values, input
Range just means allowable Y values, output
The allowable part is a bit confusing for students. Let's take a look at a graph and look at what allowable
means
We will look at Domain first
Look at the x-axis
From left to right highlight the
allowable x values, the x values
on the graph.
Notice that the x-values go from -6 to 4 on the x-axis
BEYONCE CAN HELP?
Domain and Range Song link
NOTE: the ends of the line are closed circles, that means that the
number is allowed. If the circles were open or not shaded, those
are not allowed
We write the Domain is D:{ -6 < x < 5}
This is math notation which says:
the x's can equal -6 but must be greater than -6
the x's can equal 5 but must be less than 5
Now let's look at RANGE
From the bottom to top
Highlight the allowable Y Values
Think of it as a number line that goes from the bottom to top
Notice the y-values go from -8 to 8
We write the Range is R:{ -8 < y < 8}
This is math notation which says:
The y's can equal -8 but must be greater than -8
The y' can equal 8 but must be less than 8
We will learn more about continuous and discrete data tomorrow, but notice that the above example
has a span of numbers. This is called continuous. Because not only is 2 allowed in the domain, but
2.1,2.11,2.222 are also allowed.
Below are examples of discrete domains and ranges. Think back to our data on the Bridges. Those were
individual points not a span of numbers.
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x
2
6
5
y
5
9
6
Kelly is a painter.
Painted 4 paintings
He wants to sell them
for $10 each. How much
money can Kelly make?
D:{ 1,2,3,4}
R:{ 10,20,30,40}
Can Kelly sell 1.5 paintings? Would you buy half of a painting?
D:{ 2,5,6}
R:{ 5,6,6}
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Domain and Range II-Thur
Saturday, August 04, 2012
10:41 AM
Today we are going to practice Domain and Range more, and look at discrete and continuous data more in
depth.
First let's look at the notation that students have most trouble on
<>
The closed or the shaded circle means the number is allowed.
The less than and greater than symbols are underlined
<>
The open or the unshaded circle means the number is NOT allowed
The less than and greater than symbols are NOT underlined
Today we covered Discrete, Continuous and a combo of both.
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Practice/Assess
Sunday, August 05, 2012
10:28 AM
Friday's will be mainly practice and assessment (quizzes) to go over the material for the week
You should study:
1)
2)
3)
4)
5)
6)
7)
The words in DIXI RODY
What is a function?
The different representations of DIXI RODY: graph, table, words, mapping,equation
Review the Function machine game. Use your math skills to complete the table
Review the math symbols and notations
Review Domain and Range….Beyonce can help
Review Discrete and Continuous
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