Happy Wednesday!
Please do the following:
1) Pick up ALL the papers from the table when you first walk in.
2) Put your name tag on your desk
Homework:
o HW #1 pg. 53 #1-4, 10, 14, 15-23 odd, 39(a-f), 83
Updates: 1.1 Quiz next Thursday/Friday
Agenda
1)
2)
3)
4)
5)
6)
Entry Ticket
Procedure Quiz
Whiteboard Expectations
Homework Expectations
Relations and Functions
Cool-Down
Popsicle Sticks-Per 4
Write your name on the popsicle stick.
Entry Tickets
 Fill out the two questions silently.
Entry Ticket
Using equity sticks, some of you will be called to the document camera
to share your entry ticket solutions.
What I expect when you present:
o To speak clear and loud enough for all to hear.
o To speak with confidence.
o To answer, to the best of your ability, any questions that are asked.
o To be proud of yourself regardless if the answer is correct or
incorrect.
Turn in entry tickets at the end of each period.
\
Entry Ticket Norms
When you first walk in, you will fill these out silently and
independently. This is to see what you remember from the
last class period!
I will call on students with my equity sticks to share their
answers either verbally or under the document camera.
You will keep these entry tickets on your desk throughout
the entire class period. This is how I keep track of
participation points. You get 5 participation points per day!
Procedure Quiz
Put everything away except something to write
with.
There is NO TALKING! It is a quiz and will be
counted as such.
Whiteboards
o Please take out the whiteboard from under the bin.
o One side is blank and the other has a coordinate plane
o No profanity, graffiti, etc on them.
o Refrain from doodling ONLY do math problems on them
o Use only when instructed to do so
Whiteboards
• I expect everyone to attempt the problems. This is NOT a time to
opt- out and doodle.
I expect 100% participation.
• .
Whiteboards
• I expect everyone to attempt the problems. This is NOT a time to
opt- out and doodle.
• I expect 100% participation.
• .
Whiteboards
• If you see anything inappropriate on your whiteboard it is
your responsibility to tell me immediately or else you might
be the one who gets in trouble.
Whiteboard Markers
• Before we do whiteboards, I’ll have the ________________
manager come up and get a whiteboard marker for each
student.
• At the end of the period, I’ll either have the _____________
manager come up and give me the whiteboard markers OR
you will hand it to me at the door, depending on the day.
Whiteboard
 You will do the problem on the whiteboard
 When I say go, AND ONLY WHEN I SAY GO you will then show
me your solution by putting it under your chin. Everyone will
show me at the same time!
 I expect 100% participation
 I will then look around the room and have someone who got
the correct answer explain how they did it.
– DO NOT SAY: “I DON’T KNOW OR I LOOKED AT _____ WB”
 I will address any common mistakes
Let’s Practice!
 Resource Manager, please come up and get whiteboard
markers.
 Take out your whiteboard from under the bin.
① What is my name?
② What are my Four Classroom Norms?
③ What are my 4 Consequences?
Homework Expectations
Homework Set-Up
Homework Expectations
1. Use binder or graph paper and fold the paper in half
vertically.
2. Write the homework number in the top right hand
corner (fairly large).
3. Under the homework number, write your first and last
name, and table number.
4. Begin in the left column with the first problem.
Show all of your work and box your final answer.
5. Continue to work in the left column until there is no
more room and then continue in the right column.
6. Always use pencil. No pencil = 1 point docked off.
7. Make corrections in colored pen.
Why Learn Pre-Calc?
"Learning algebra isn't about acquiring a specific
tool; it's about building up a mental muscle that will
come in handy elsewhere. You don't go to the gym
because you're interested in learning how to operate
a StairMaster; you go to the gym because operating
a StairMaster does something laudable to your body,
the benefits of which you enjoy during the many
hours of the week when you're not on a
StairMaster.”
-- Steven Johnson, "Everything Bad Is Good For You"
Office Hours
Thursday from 2:15- 3:15!!!
Letters from Pre-Calc Students!
Learning Targets (1.1)
①I can report data using a variety of notations.
Introduction to Functions
Roster Notation
o Listing all the data of a set
o The data is listed in braces and separated by commas.
o Example: Put the numbers 8, 21, 43, and 15 in roster notation
on your guided notes.
{8, 15, 21, 43}
 What do you notice about the order? Talk with
your team-mates.
Introduction to Functions
Inequalities Set Notation
o Describing an interval that is continuous for some time
using the inequality symbols. Open dots exclude
endpoints and closed dots include endpoints.
o Example:
-1 < x < 1
2≤ x < ∞
Relations and Functions
Interval Notation
o Describing an interval that is continuous for some time using a
bracket to include endpoints and parentheses to exclude
endpoints.
o Example:
(-1, 1) U [2, ∞)
Set Builder Notation
o A combination of roster and inequality set notation.
o Example:
Whiteboards!
①With your team, write down the day of your birthday in
roster notation. ( ex: My birthday in June 30th so I would
write down 30 for my number. You should have 4
numbers)
② Write the following in interval notation:
Whiteboards!
① Write the following in inequality notation:
②BONUS: Can you write it in set builder notation as well?
Learning Targets (1.1)
①I can report data using a variety of notations.
②I can determine whether a given relation is
a function and identify the domain and
range.
Introduction to Functions
Relation
o Set of ordered pairs.
Domain
o The set of all x-values of the ordered pairs
o Commonly represented by the letter D.
Range
o The set of all y-values of the ordered pairs.
o Commonly represented by the letter R.
Function
o A relation in which each x-value is paired with exactly one y-value
Example 1
Data sets as we see come in various forms so lets look at a real life data
set.
The table shows the pounds
per square inch (psi) of pressure
that push on a body at various
water depths.
State the relation, domain, and range
and and determine if it is a function.
Relations and Functions
 In your tables discuss the following: is the relation
from (1) a function? Have evidence to support your
conclusion.
 We have already mentioned that this is a function.
What would it have to look like in order to NOT be a
function?
Whiteboards!
① Write this relation in roster notation
② Is it a function? Why or why not?
Example #2
Determine which of the following relations represent a function. If the
relation is a function, then state its domain and range.
(a)
(b) { (2, 6), (3, 7), (3, 10), (5, 21) }
Example #2
Whiteboards!
On your whiteboard, draw data sets mapping to one another. ( Like
Example 2c)
For example
Now, go find partner A and discuss with them! Is your partners a
function or not. Why?
Whiteboards!
The table shows some of the heights and weights of
members of the Los Angeles Lakers basketball team during
a certain year.
Everyone in your group will do a different letter.
Whiteboards!
(a) State the relation of the data as a set of ordered pairs.
(b) State the domain and range of the relation.
(c) Graph the relation.
(d) Determine whether the relation is a function.
1 minute ONLY
Whiteboards!
ALL (a)’s will meet and compare answers near Table 1
ALL (b)’s will meet and compare answers near Table 3
ALL (c)’s will meet and compare answers near Table 5
ALL (d)’s will meet and compare answers near Table 7
IF someone got it incorrect please help one another 
Example 3
Function Notation
o Represented by f(x) and read as f of x.
Relations and Functions
How do you find the domain?
o Any value that makes the denominator 0 must be
excluded.
o Any value that makes the radicand negative or 0 (when
it’s in the denominator) must be excluded.
Whiteboards
State the domain.
Summary
After each section, you will be required to write 1-2 sentences about
something that you learned in this section.
“I don’t know” or nothing is not an acceptable answer. It has to be math
related.
These will be checked when you turn in your notes.
Be ready to share out!
Homework:
 Setting up homework
 Write all homework in the assignment log that you picked up at the
beginning of class
Homework Set-Up
Homework Expectations
1. Use binder or graph paper and fold the paper in half
vertically.
2. Write the homework number in the top right hand
corner (fairly large).
3. Under the homework number, write your first and last
name, and table number.
4. Begin in the left column with the first problem.
Show all of your work and box your final answer.
5. Continue to work in the left column until there is no
more room and then continue in the right column.
6. Always use pencil. No pencil = 1 point docked off.
7. Make corrections in colored pen.
Exit Ticket
On the back of your entry ticket answer the following:
1) Two things you learned about your teammates this week. Use their
names!
2) One word that describes how you’re feeling RIGHT NOW.
3) Anything you need to say!
Remember:
I excuse students, not the bell.
Have a great day!
See you on Friday!