Weekend HW

You have two things to get done this weekend:

1.) Be sure to have spent 20 minutes on Khan Academy by Monday!

• If you use the Khan Academy APP I do not get a report of your minutes; you will have to log into your Khan account in the app and show me your total minutes for the past week--you can do so before school, after school, or at the start of class!

2.) Please complete the following in your 2.3 problem set (or, page 159 in the textbook PDF):

• Page 159: 5, 7, 13, 15 (These are all practice with long division of polynomials)

On Monday we will continue to work with division of polynomials, as we start to learn synthetic division. We'll work more with this on Tuesday, and then....we will have a mid-unit 2 test next Wednesday! The test will cover 2.1 (quadratics), 2.2 (polynomials), and how to do long and synthetic division (from 2.3). 

 Have an awesome weekend! Rest up, relax, and come back ready for four days of hard work! See you Monday!

Thursday HW = Study and Extra Credit!

Study for your QUIZ TOMORROW ON SECTION 2.2!

• The quiz will have the following questions...
• Given a function describe the end behavior (in appropriate math notation)
• Write the equation of a polynomial given its zeros
• Find the zeros of a polynomial and then state whether the graph crosses or bounces at those points
• Graph a polynomial
• Look at the examples in section 2.2 of our online (PDF) textbook (linked on the right) for more help!
• OR, use Khan Academy to get some minutes in! 

Also, here's a chance for some extra credit! Do this problem tonight for some extra credit homework!

And don't forget--you need 20 minutes logged in Khan Academy! Might as well just use Khan to do some studying tonight to get some studying and your homework done!

Finally, here is a major opportunity to boost your grade:

• You can retake the Unit 1 Test if you did not perform well on it (or even if you did)!
• You must make up the test after school or during study hall, but you must do so before the end of next week (Thursday, 10/6)
• Use your first unit 1 test to study! If you do not use this to study there is no benefit to re-taking the test!
• In addition, your second score will replace the first score, even if it is lower--it shouldn't be if you actually take the time to study and prepare for the re-take! No "winging it!"
• Take advantage of this opportunity! This will not be provided for tests on a regular basis!
• (We will also have a test on sections 2.1 to 2.3 in the next week or two)

Wednesday HW!

Tonight, please complete the following in your 2.2 problem set ("textbook"):

Page 149: 51, 67, 71, 101 

• For 67 and 71 I expect to see all of the work--x intercepts, y intercept, and then use the end behavior and additional points to graph!
• This homework is practice for our 2.2 quiz on Friday! 
• The quiz will have the following questions...
• Given a function describe the end behavior (in appropriate math notation)
• Write the equation of a polynomial given its zeros (like 51, 67)
• Find the zeros of a polynomial and then state whether the graph crosses or bounces at those points (like our weekend homework problems)
• Graph a polynomial (like 67, 71)

Also, here is a major opportunity to boost your grade:

• You can retake the Unit 1 Test if you did not perform well on it (or even if you did)!
• You must make up the test after school or during study hall, but you must do so before the end of next week (Thursday, 10/6)
• Use your first unit 1 test to study! If you do not use this to study there is no benefit to re-taking the test!
• In addition, your second score will replace the first score, even if it is lower--it shouldn't be if you actually take the time to study and prepare for the re-take! No "winging it!"
• Take advantage of this opportunity! This will not be provided for tests on a regular basis!
• (We will also have a test on sections 2.1 to 2.3 in the next week or two)

Tomorrow in class we will answer any homework questions and then get more into section 2.3, division of polynomials and finding zeros!

Tuesday HW!

Tonight, please complete the two graphs we started in class!

• Calculate the x intercepts--show work!
• Calculate the y intercept--show work!
• Write/determine the end behavior of the function (use appropriate notation)!
• Find the coordinates of some additional points to plot--show work!
• Use this information to sketch the shape of the graph!

Also, don't forget--you need 20 minutes on Khan by Sunday! If you use the phone app for Khan I cannot see your time; you will need to show me the amount of time you logged on your phone, in class, each Monday. This is YOUR RESPONSIBILITY!

Tomorrow we'll finish up with a little more practice, and then it's on to section 2.3--division of polynomials and finding zeros! See you there!

Oh, and if you're feeling ambitious, here's tomorrow night's homework (more graphing polynomials practice):

Page 149: 51, 67, 71, 101 

• For 67 and 71 I expect to see all of the work--x intercepts, y intercept, and then use the end behavior and additional points to graph!

Monday HW!

Tonight, please complete the following in your textbook:

Page 149 (front page of you 2.2 problem set): 47, 49, 75, 77

• For 47 and 49 use the last example from today's notes to find the polynomial!
• This past weekend you had to find the zeros for 75 and 77--tonight your challenge is to graph those functions!
• Now, your job is to do parts a (end behavior), b (zeros are done), and c (plot points), and then d (draw the graph)
• Find the zeros and y intercept, then plot those
• Next, consider the end behavior...
• Also, find some "additional points"--substitute some values for x--to plot
• Now, use all of this information to sketch each graph!
• This is just like today's classwork!
• If you have more questions or would like to see more examples, open up the PDF file of our textbook and look at the examples in section 2.2!

Also, remember that you have until Sunday night to log 20 minutes into Khan Academy! (in addition to any other homework we get)!

If you need help graphing polynomials, use Khan! This will help you study for class AND log some minutes!

Weekend HW and Extra Credit!

This weekend please complete the practice problems below about "finding zeros of polynomials!" 

• **Ignore the textbook directions--for each of these problems I want you to find the zeros**
• Page 149: 27, 29, 35, 41, 75, 77, 79
• For 27 to 41 and 75 you will need to try to use different types of factoring!
• The problems in 77 and 79 are already factored, you just need to find the zeros (x intercepts)!
• Check your answers in the back of the book!

Also, this weekend you can complete 20 minutes on Khan Academy for extra credit! This will either further boost your average if you've done all your homework, or it will replace a past homework zero! So take advantage!

• I'd recommend watching some videos about polynomial functions, finding zeros, or FACTORING, especially if you find it difficult! There will be lots of factoring throughout the course!

Thursday HW/Quiz Tomorrow!

You have a few things to consider tonight....

1.) Quiz on quadratics (section 2.1) tomorrow!

• First question: given an equation, find the x-intercepts, y-intercept and vertex
• Second question: an application problem--study the baseball problem on the back of our weekend homework (#3) or on the back of the homework answer key I gave you!

2.) Please complete the end behavior "book problems" in our packet if you didn't show me those today!

• Use the notes I sent out through remind OR take a look at page 141-142 of the online textbook for notes about the leading coefficient test!
• Page 149 (our front page, page 149 in the online textbook): #13, 15, 17, 19, 21
• **When you check your answers in the back you will see the end behavior written in words--your answer should not be written this way, but instead should be written using the "limit notation" we discussed in class....Use the key below to help you check your work!

• Falls left: x--> - (infinity), f(x)--> - (infinity)
• Falls right: x--> + (infinity), f(x)--> - (infinity)
• Rises left: x--> - (infinity), f(x)--> + (infinity)
• Rises right: x--> -+(infinity), f(x)--> + (infinity)
• Remember, with this notation, the "left/right" is what we show with our "x" (because the x axis runs left to right); if x is approaching negative infinity we're talking left, if x is approaching positive infinity we're talking right! 

• And for the falls/rises, we're showing "f(x)" or "y" (because the y-axis runs vertically, or down and up); if f(x) is approaching negative infinity, the graph is falling, and if f(x) is approaching positive infinity, the graph is rising.

3.) This weekend we will have some homework about "finding zeros of polynomials!" We'll get more into this in class tomorrow, but if you'd like to get a head start, here is the weekend homework:

• **Ignore the textbook directions--for each of these problems I want you to find the zeros**
• Page 149: 27, 29, 35, 41, 75, 77, 79
• For 27 to 41 and 75 you will need to try to use different types of factoring!
• The problems in 77 and 79 are already factored, you just need to find the zeros (x intercepts)!
• Check your answers in the back of the book!

Wednesday HW!

Tonight, please complete the following in your "textbook" packet:

Page 149 (our front page, page 149 in the online textbook): #13, 15, 17, 19, 21

If you were absent today we learned about the leading coefficient test! You definitely want to get someone's notes! OR, take a look at page 141-142 of the online textbook for notes about the leading coefficient test! This is a great place to look even if you were here but you still have questions!

**When you check your answers in the back you will see the end behavior written in words--your answer should not be written this way, but instead should be written using the "limit notation" we discussed in class....Use the key below to help you check your work!

• Falls left: x--> - (infinity), f(x)--> - (infinity)
• Falls right: x--> + (infinity), f(x)--> - (infinity)
• Rises left: x--> - (infinity), f(x)--> + (infinity)
• Rises right: x--> -+(infinity), f(x)--> + (infinity)

Remember, with this notation, the "left/right" is what we show with our "x" (because the x axis runs left to right); if x is approaching negative infinity we're talking left, if x is approaching positive infinity we're talking right! 

And for the falls/rises, we're showing "f(x)" or "y" (because the y-axis runs vertically, or down and up); if f(x) is approaching negative infinity, the graph is falling, and if f(x) is approaching positive infinity, the graph is rising.

Our section 2.l quiz on quadratics will be at the start of class on Friday!

• First question: given an equation, find the x-intercepts, y-intercept and vertex
• Second question: an application problem--study the baseball problem on the back of our weekend homework (#3) or on the back of the homework answer key I gave you!

See you tomorrow for more polynomials!

Tuesday HW

Tonight, please complete each of the 5 SAT practice questions on the back of your "homework question packet" provided today in class! 

You MUST SHOW WORK or RECORD NOTES ABOUT HOW YOU FOUND YOUR ANSWER in order to receive homework credit! If you simply circle an answer for each question you will not earn homework credit!

Here are the homework questions in case you lost yours or were out:

We will have a 15 minutes quadratics quiz on Thursday!

• One question: given an equation, find the x-intercepts, vertex, and y-intercept
• Next question: an application problem like those in our homework and classwork slides
• Find max/min values, find where a max/min occurs, find x-intercepts (in context)
• Use your classwork and homework from the weekend to study!
• Here are the answers to each of the application problems from Friday/Monday's classwork:
• Find a: a = 2
• Number of units for the minimum cost = 1222.22 units
• The football problem:
• a.) 1.5 (or 15) feet
• b.) 104.02 feet (or 117.51 feet)
• c.) 228.64 feet (or 235.86 feet)
• The revenue problem:
• a.) Revenue for a price of $8 per item = $432
• b.) Price that gives max revenue = $6.25
• b.) Max revenue = $468.75

Good luck! Tomorrow we'll get back to our notes on section 2.2! See you there!

Monday HW!

Tonight, please spend 20 minutes on Khan (if you didn't already this past week or weekend)! I forgot to mention this homework on Friday, and we had some other homework, so I didn't officially assign Khan.

I would recommend using Khan to review some videos/practice problems about quadratics; if you're feeling comfortable with quadratics then do some SAT prep!

Tomorrow we'll start section 2.2! We will still have a quiz on quadratics (2.1), but I want to wait until I grade and return today's classwork so you can use it to study!

Enjoy your Monday!

Weekend HW: Applications of Quadratics!

This weekend please complete the worksheet provided in class (Quadratic Equations: Applications); you can also find the questions below if you lost yours or were out.

Here are some comments/ideas/thoughts to help you out with your homework:

• You can use a graphing calculator to help you complete all of this (just like today's classwork), OR you can do the problems by hand!
• Questions 1ab, 2abc, and 3ab are all just as easy/difficult "by hand" (algebraically) as they are using the graphing calculator!
• Question 3c can also be done using the quadratic equation--this might be a pain, but it will work! OR you can use your calculator to help!
• If you do not have a graphing calculator, you have a few options
• Do everything by hand (algebraically)
• If you have an Android phone download the app linked on the right
• OR try to use the Desmos Online Calculator on the right (you can also download this app on the iPhone)
• The Desmos app will definitely help with your homework, but don't rely on this too much because you can't use Desmos on the SAT's or our in class assignments!

• Use your notes--specifically about the problem with a person throwing a ball that we discussed in class--as a reference!

And here are the homework questions in case you lost yours or were out! 

We will finish our classwork on Monday, answer any homework questions, and get ready for a quick quiz Tuesday! Then it's on to section 2.2! Have a great weekend!

Thursday....

There is no official homework tonight! Enjoy the beautiful afternoon! Sorry the bell rang mid sentence today--I was totally in the math zone and had no idea the period was ending! Hopefully it felt like the period flew by to you as well!

Although there is no official homework, you will need to log 20 minutes in Khan Academy by Monday--so tonight is a great chance to get that done!

• You can use Khan for ANY type of review--you do not have to do the mission
• You can search for videos about quadratic functions to practice what we're learning now...
• OR you can do some SAT review...
• OR look at any other math review!

Tomorrow we'll keep working with quadratics and try to get in some classwork practice! See you there!

When's Day HW

Tonight, please complete the quadratics worksheet provided in class (or below)--one application problem and some more axis of symmetry practice!

• Remember you can skip part c on the front

2's Day HW!

Tonight, please complete the following in your "textbook"-- the packet I gave you in class, or the PDF version of the book linked on the right.

Page 135: 53 - 56 **Notice I am making up my own directions for these questions! See below**

• For 53 to 56....

1. First, find the x-intercepts by looking at the graph; then, find the x-intercepts by hand (without the graph) by factoring
2. Next, find the vertex by looking at the graph; then, find the vertex by hand and be sure it matches the vertex on the graph!
3. Check your answers by making sure your vertex and x-intercepts match those on the graph!
4. You MUST show all of the work for the x-intercepts and vertex for each problem to receive homework credit! I'm definitely checking this homework since I forgot to check today!

Tomorrow we'll continue to work in 2.1 with quadratic functions....see you there!

Monday HW!

Tonight, please complete the following in your "textbook"--you can either use the PDF version of our book on the right, OR use the packet I provided in class!

• Page 134-138: 14, 19, 90
• For 14, use the example from class!
• For 19...
• To find the vertex you will again use the formula x = -b/2a to find the x-coordinate, then substitute to find the y coordinate of the vertex (like our class example)
• The x-intercepts are different here--we cannot "solve with square roots" because we have an "x term." So, to find the x-intercepts, we substitute 0 for y and then we can either factor or use the quadratic formula to solve for x
• For 90, use the formula to find the axis of symmetry for each, then compare!

Tomorrow in class we'll get back into our section 2.1 notes, exploring quadratic functions!

Here are the  homework answers so you can check your work:

14.) Vertex = (0, 25); X Intercepts: (5, 0) and (-5, 0)

90.) True! (Axis of Symmetry for each simplifies to -5/4)

Odd Answers Below (for 19)

Weekend HW

This weekend you must spend at least 20 minutes using Khan Academy to review some math!

• You can start the "mission" for our class in Khan...
• OR you can pick a specific topic to review--I'd recommend searching for some videos/practice about quadratics, because this is what we're starting Monday!
• OR you can do some SAT prep!

This will be counted as a homework grade every week! If you already used Khan for at least 20 minutes last night, you already have your homework credit!


Every week I will enter grades on Monday--so from Monday to Sunday you have to log at least 20 minutes of Khan each week! Use it as a resource to support what we're doing in class!

On Monday we'll start to get into our PreCalc with chapter 2! Feel free to take a look at section 2.1 in the PDF version of your textbook to get a head start! We'll be exploring the different applications of quadratic funcitons!

TEST TOMORROW!

Tonight, STUDY! Start strong tomorrow with an A on our Unit 1 Test!

Also, your homework this weekend will be to spend 20 minutes using Khan Academy--it might be a good idea to get a head start tonight and use Khan to study for the test! Then you're studying and getting your weekend homework done!

Here's a breakdown of exactly what's on tomorrow's test. It is entirely based on our summer assignment and includes both open ended and multiple choice questions!

• Find the equation of a line through a given point and parallel or perpendicular to a given line
• Evaluate a function for a given value (sub for x!)
• Identify the intervals where a function is increasing/decreasing/constant
• Describe the transformations (shifts, reflections) in a given function
• Find compositions of functions--we covered this on the back of a warmup in class!
• Find the graph of a function and its inverse
• Determine if a table is a function
• Evaluate a piecewise function
• Write the equation of a function given some shifts/reflections
• Sketch the graph of a function knowing its shifts, reflections, and shape
• Write the equation of a line passing through two points
• Graph a linear equation in point slope form
• Given a graph, identify domain and range
• Evaluate f(#) from a graph
• Find the x and y intercept from a graph
• Find the inverse of a function
• Add, subtract, multiply and divide functions
• To study, you should look over your summer assignment and definitely review all of the warmups and notes we took in class over the past week!

On Monday we'll start chapter 2 and it'll feel more like a regular math class! Until then, study and get an A!

Wednesday HW!

Don't forget--head to the Lit Lab for STAR testing tomorrow! (And I'll be checking homework while you're doing STAR)

Tonight, please complete the "Unit 1 PreTest" provided in class! This gives us a little more practice before Friday's test! I will provide an answer key in class tomorrow.

Tomorrow there will be a blog post outlining everything that is on your test! Be ready!

Also, don't forget:

• There is an answer key with all work shown for our summer assignment under the "Textbook PDF and Other Documents" Link!
• Sign up for REMIND if you haven't done so yet!

See you tomorrow! Your homework questions are below in case you lost yours!

Tuesday HW!

Tonight, please complete the "Finding Inverses" worksheet provided in class (or below).

• Remember, to find an inverse we first switch x and y...( f(x) is the same as y)
• Then, we solve our equation for y
• For our final answer, we replace the "y" with the appropriate notation for an inverse function
• Here are the questions in case you lost yours or were out!

Also, please be sure to sign up for Remind! (if you have a phone)

• Text @precalceh to 81010
• OR, open the web browser in your smartphone and go to rmd.at/precalceh

Tomorrow in class we'll do some review of inverses and sketching functions in preparation for Friday's test! See you there!

And lastly, I uploaded an answer key to our summer assignment with all of the work shown! Check out the link on the right for the textbook PDF (and other files)!

Weekend HW

Weekend Homework: you must have your entire summer assignment completed by Tuesday! This will be counted as 3 homework grades!

• We will have a unit 1 TEST NEXT FRIDAY based on all of the content covered in your summer assignment/unit 1!
• If you look at the links on the right you can find a PDF version of our textbook so you can access it online any time! The sections for the summer assignment are listed, so use these section numbers and your textbook to help you complete the summer assignment!
• Precalculus requires you to be active in your own learning--it is your responsibility to use your resources to refresh your memory on these skills! 

Also, if you did not do so yet, please be sure to SIGN UP FOR KHAN ACADEMY! (HW grade)

• Choose the Khan link on the right
• Sign up (or log in if you already have an account)
• Choose the "Coaches" tab in your profile.
• In "Add a coach" enter the class code: XR9ZWQ
• Please use your real name so I know who to give credit to! 

Next week we will use Tuesday and Wednesday to review some unit 1 topics, then it's STAR Thursday and a test on Friday! Be ready! Be productive this weekend, but also enjoy it! See you Tuesday!

Day 2 and Homework!

Tonight/Weekend Homework: you must have your entire summer assignment completed by Tuesday! This will be counted as 3 homework grades!

• We will have a unit 1 TEST NEXT FRIDAY based on all of the content covered in your summer assignment/unit 1!
• If you look at the links on the right you can find a PDF version of our textbook so you can access it online any time! The sections for the summer assignment are listed, so use these section numbers and your textbook to help you complete the summer assignment!
• Precalculus requires you to be active in your own learning--it is your responsibility to use your resources to refresh your memory on these skills! 

Also, if you did not do so yet, please be sure to SIGN UP FOR KHAN ACADEMY! (HW grade)

• Choose the Khan link on the right
• Sign up (or log in if you already have an account)
• Choose the "Coaches" tab in your profile.
• In "Add a coach" enter the class code: XR9ZWQ
• Please use your real name so I know who to give credit to! 

Tomorrow in class we'll use some class time to work through the summer assignment and ask questions. People who did not complete the assignment will be grouped, and people who did complete it will be grouped. 

Then, on Tuesday and Wednesday we'll continue to review some of the unit 1 topics for our test. On Thursday we will take STAR, and next Friday's the test!

See you there! Hope you had an awesome second day!