Happy FUNction DAY! Please do the following: Pick up ALL the papers from the table when you first walk in. Sit down in the seat BEST for you Start your warm-up (located on whiteboard) Homework: HW #1 pg. 53 #15-25 odd 2 mins

Agenda Warm-Up/whiteboard review Solving and Inequality Quiz Setting up Notebook/ HW Expectations 1.1 Function Notes 1 min

Office Hours Thursday from 3:15-4:15 3 mins

Class Values (Per 1) I wrote all your class values down. Now sign it. It is our contract for the year. If you do not agree with something, please let me know! 2 mins

Factoring and Fraction Quiz Students who still need to take quiz: Per 1: Smith, Shadow, Caroline B: 8-8.5 Per 3: C: 7-7.5 Can retake up to 8.5 2 mins

Last Minute Questions before Quiz? Do popsicile sticks later

Whiteboard Review!!! Talk about trust and expectations Write expectations on the whiteboard next to the powerpoont

Setting Up Notebook Pocket (in front of notebook) Homework ( in back of notebook) Warm-Up ( on paper) Journal Entries/ Reflection ( left side) Notes ( right side) Table of Contents ( optional) Disclaimer: I do not check your notes. It is up to you to take the best notes for YOU! I do collect ALL worksheets at the end of each unit! The notes will HELP you with homework and the worksheets. You should make this notebook YOURS! Talk about trust and expectations Write expectations on the whiteboard next to the powerpoont

Warm-Up Expectations: Assignment Sheet DO NOT lose your paper! It is due at the end of the unit! Each day, you will do your warm-up on the back (on the provided date) Warm-Up Expectations: Each warm-up will be worth 4 points. If you were absent you can write absent for one warm-up per Assignment Sheet. If you missed more than one warm-up per Assignment Sheet you will not earn that credit. Being in class on time is the most important thing that you can do for your education. ORGANIZATION IS KEY TO SUCCESS! DO NOT LOSE THE NOTES OR YOU WILL HAVE TO PRINT IT OUT AT THE LIBRARY. .

Classwork Expectations: Work Record Classwork Expectations: At the end of each unit, you will turn in your classwork. They must be completed! Do not lose them or you will need to print them off at the library. Homework Expectations: It is due at the beginning of class. I accept late homework up until the Assignment Sheet is due for at most a 2. ORGANIZATION IS KEY TO SUCCESS! DO NOT LOSE THE Assignment Sheet /WORKSHEETS/ HOMEWORK OR YOU WILL HAVE TO PRINT IT OUT AT THE LIBRARY.

Let’s Make a Pocket! We want to make sure we do not lose this work record so we are going to make a pocket!.

Homework Set-Up Homework Expectations 1. Do homework on the back side of your composition notebook ( turn it upside down) 2. Write the homework number in the top right hand corner (fairly large). 3. Fold your paper vertically. 4. Begin in the left column with the first problem. Show all of your work with PROPER notation! 5. Continue to work in the left column until there is no more room and then continue in the right column. 6. Make corrections in colored pen.

Homework Set-Up Glue homework expectations in notebook! Create pocket. This is where you will ALWAYS keep your stamp sheet so you do NOT lose it!

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" Have students do a quick write in their notebook

Why Learn Pre-Calc? Quote Journal Entry "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" On the left side of your notebook, write down what this quote means to you. How is this quote related to learning Pre-Calc?

Learning Targets (1.1) I can determine whether a relation represents a function I can find the value of a function

What is a Function (1.1) Take out notebook and title it: What is a Function? (1.1) Right hand side of notebook Notes: I mostly do notes on my powerpoint. If you want, you can take a picture of my notes if it is easier to follow along!

What is a Function (1.1) Relation: Set of ordered pairs inside braces Uses { }  (braces which is called roster notation) Ex:

What is a Function (1.1) Function: Is a relation in which each element in the domain ( x) is paired with exactly one element in the range ( y ) “ 1 y for every x” Function Notation Represented by f(x) and read as f of x.

Journal Time Quick-write ( 1 min): DO THIS ON THE LEFT HAND SIDE OF NOTEBOOK What do you remember about functions that you have learned in other math classes? You can write, draw, or graph your response. Partner Share:

What is a Function (1.1) Function Examples :

Whiteboards! Write this relation in roster notation Is this a function? 5 mins

Whiteboards! The table shows some of the heights and weights of members of the Los Angeles Lakers basketball team during a certain year.

Whiteboards! State the relation of the data as a set of ordered pairs. State the domain and range of the relation. (c) Determine whether the relation is a function.

What is a Function (1.1) Domain ( D) The set of all x-values of the ordered pairs Input values or independent values Range ( R) The set of all y-values of the ordered pairs. Output/ dependent values

GROUP TIME!! Complete Example 1 and 2 with your group. GOOD LUCK! Ask all of your table-mates for help, BEFORE you ask me! Some hints: Determine if a Relation is a Function: Word Problem: Does every input have one output? Think of the input? How many possibilities are there for it? ( EX 1) Table/mapping: Every input maps to exactly ONE output. Only ONE line coming off each input. ( EX 1) Graph: Passes Vertical Line Test ( 1.2) Equation/Rule: Solve for y. As long you don’t have a ± you have a function ( EX 3) Just read it no need to write it unless want to take picture!!! Have this up while doing EX 1

Homework: Setting up homework Write all homework in the assignment log that you picked up at the beginning of class

What is a Function (1.1) Determine whether equation is a function? Step 1: Solve for y Ex)

With your table do Example 3 Group Time! With your table do Example 3

What is a Function (1.1) Ex) f(x) = -3x2 +2x Evaluating vs. Solving Functions When evaluating, we line up equal signs When solving, we use {SOLUTION SET } (squiggles) Ex) f(x) = -3x2 +2x 1. Evaluate and simplify f(3) b) –f(x) c) f(-x) 2. Solve a) f(x)= 0

JOURNAL Time Quick-write ( 1 min): DO THIS ON THE LEFT HAND SIDE OF NOTEBOOK What is the difference when you have a number inside the parentheses f(10) versus when you have a function equal to a number f(x) = 10? You can answer this using words or provide your own example. How do you write each answer?

Group Time GOOD LUCK! Ask all of your table-mates for help, BEFORE you ask me! With your table do Example 4-5 How do you write each answer?

Difference Quotient(1.1) Take out notebook and title it: Difference Quotient (1.1) Right hand side of notebook

Difference Quotient(1.1) Ex)

Processing Time DO THIS ON THE LEFT HAND SIDE OF NOTEBOOK Write down the problem below. Circle the mistake(s) you found. (Be ready to share and defend the mistakes you found ) Pair-Share How do you write each answer?

Finding Domain Algebraically(1.1) Take out notebook and title it: Finding Domain Algebraically (1.1) Right hand side of notebook

Finding Domain Algebraically(1.1) Steps: Does your function have a denominator? If yes, set the denominator equal to zero and solve for x. ( set bottom ≠ 0) Then exclude those values from your domain. Does your funion hae a radical ( of even index)? If yes, set the radicand ( what’s under the radical) greater than or equal to zero and exclude from your domain.

Finding Domain Algebraically(1.1) Steps: If there is no denominator or radical, the answer is ALWAYS all real numbers

Finding Domain Algebraically(1.1) How to write domain

Processing Time DO THIS ON THE LEFT HAND SIDE OF NOTEBOOK 1. What do you think we do if there is a radical AND denominator in the equation? Ex ) 2. What is the difference between set-builder and interval notation? How do you write each answer?

Brain Break: Mystery Student On an index card, answer these questions. Did you grow up in Portland most of your life? Are you a sphere or a cube? Are you a “radical” or “part of a set” Music or TV? Night owl or early bird? Introvert or extrovert? Group work or independent? Unique Tell us something about yourself that most people would be surprised to learn or something that you are proud of and would not mind people knowing. How do you write each answer?

Warm Up Factor and solve: 3𝑥 2 −2𝑥 −1 = 0 Simplify: 𝑥 −3 2 +14