Please remember to follow the website daily. The website lists ALL due dates. Do NOT follow due dates in Delta Math
A) Complete Review ditto in workbook.
B) Check answers
C) "Test" tomorrow
Today you are taking your "TEST" on Unit 12. Follow the directions below.
As we start Unit 13, Please continue as we have been, Watch the video, do the Classwork and Homework. I will be posting copies of answers to all.
Don't forget to email us with your questions!
*Remember, if you can'y print out the video sheet, just show work in your notebook
A) Video 13.0
B) Copy class notes into notebook
C) Answer homework and check answers.
A) Video 13.1
B) Copy class notes into notebook. There are also 2 sets of additional notes below: one from me and another from MathBits and another video.
This topic is one of the most difficult we do all year. We are completing the square again tomorrow and into the beginning of next week.
C) Answer homework and check answers.
Additional Notes.
To complete the square, first you have to separate the variable terms from the constant. Move the c term to the other side (this will change its sign.) To complete the trinomial on the left, take the b term and find the value of (b/2)^2: square the quotient b over 2. That value gets added to BOTH sides, since this is an equation and must remain balanced. Then we need to rewrite the left side as a perfect square trinomial in the form (x + #)^2 (could be + or -.) To do that, the number in the parentheses is b/2. Then we solve like we did yesterday. Follow examples 1 and 2 in the first video and the example in the second video.
A word on Vertex Form. We use the process of completing the square to enable us to write the quadratic in Vertex form. Once you add (b/2)^2 to both sides, you are left with something in the form (x+6)^2=40. If we were to solve, we would square root both sides and complete the process. Vertex form goes another route. All you do is move the 40 back to the side with x and set = y. So we would have (X+6)^2 - 40=y. That is vertex form, where the vertex would be (-6, -40) [Recall from translating graphs that numbers inside parentheses have the opposite sign.]
A) Video 13.2
B) Copy class notes into notebook. See additional notes below.
This topic is one of the most difficult we do all year. We will be working on this in the beginning of next week.
C) Answer homework and check answers.
Additional Notes.
Part I: When b is odd. In order to complete the square, you have to find (b/2)^2. When it is an odd number, it is generally easier to use fractions than decimals.
Part II: When a is NOT 1. This is the most complicated piece to completing the square. Depending on your outcome, there are 2 different methods.
A) to Solve for x: If you are NOT interested in Vertex form
If your ultimate goal is just to solve for x, then ignore a and start as you normally would, by moving c to the other side. Then divide all terms by a (on BOTH sides.) Now you can complete the square as you did yesterday.
{Yes, you can divide by a first, but in part B to the right you cannot start that way. In order to keep the two methods similar, we will always move c first.]
B) If you ARE interested in Vertex form
Sometimes you are not asked to solve. Sometimes you are asked to express the quadratic equation in Vertex Form by Completing the Square. In that situation, you canNOT ignore a. Once c is on the opposite side, factor out a. Now complete the square for the expression inside the parentheses (-4/2)^2 = 4. **Now for the important part. The perfect square trinomial is x^2-4x+4 as shown above HOWEVER, that trinomials is in parentheses, which means it is being multiplied by 2. That means that you did not add 4 to the left side. You added 2(4) to the left side. We have to add that PRODUCT to the right side. I would suggest writing that as -5 + 2(4) before simplifying so that you can visually see the 2( ) on both sides. In the example above, they did not write it that way, but instead simplified it since -5 + 2(4) = -5 + 8.
The above example continues to solve for x. If it were to be put in vertex form, it would be 2(x-2)^2 - 3 = y.
Remember, this topic is one of the most difficult we do all year. We will be working on this in the beginning of next week.
A) There are 4 CW pages to the right. Work on the ones you want (all if you want the best practice!) If you cannot print the pages, you can just answer in your notebook.
B) Check answers
C) *Remember Delta Math
8HDL Quadratics 1
Due Friday 5/8
CW
Answers
A) Video 13.3
B) Copy class notes into notebook.
C) Answer homework and check answers.
A) There is no video. We are just practicing solving quadratics with all the methods we have learned so far.
B) Copy class notes into workbook.
C) Answer homework and check answers.
A) Video 13.5
B) Copy class notes into notebook.
C) Answer homework and check answers.
A) Complete Additional Ditto to the right.
B) Check answers
Corrections: 1, 4, 9, 10, 11
A) There are 6 CW pages to the right. Work on the ones you want (all if you want the best practice!) If you cannot print the pages, you can just answer in your notebook.
B) Check answers
C) "Test" Tomorrow
Today you are taking your "TEST" on Unit 13. Follow the directions below.
I am going to post the dittos and videos on each day separately. Remember, if you can't print them, just do the work in your binder. Please continue to watch the video and complete the Classwork and Homework. I will continue to post answers to all.
**Many of these videos are from Kirk Weiler of eMathInstruction. They can run 20-30 minutes, so plan accordingly. This is our last unit so hang in there!!
Don't forget to email us with your questions!
A) Look over Workbook Unit 15 pages 1-2 Graphs and Distribution Key for important information
B) Video 15.1
C) Copy class notes into notebook
D) Answer homework and check answers.
p.369 #9-11
p.372 #1-3, 5-9, 11, 14, 18-20
(Examples 1 and 2)
A) Video 15.2
B) Copy class notes into notebook
C) Answer homework and check answers.
p.369 #1-8, 12
p.371 #4, 15-18
(Examples 3 and 4)
Recall the differences between a Bar Graph and Histogram. Bar graphs compare data. Each bar is separate data so the bars do not touch. Histograms are CONTINUOUS. The domain is written as intervals, and one continues into the next so the bars touch.
Given a histogram without it's data set, the only information you have is the number of date in each interval. You cannot determine the specifics of the data (such as highest number, minimum, mode, average, and so forth.)
A) Video 15.3
B) Copy class notes into notebook
C) Answer homework and check answers.
p.375 #1-17
Remember: when you determine the Upper and lower quartile, they fall above and below the median, therefore you do NOT use the median number to determine quartiles.
To determine which way a box plot is skewed, look for the elongated tail. The side it is on is the direction the plot is skewed.
A) Video 15.4
*Today is just the video.
*Monday we are off - enjoy the long Memorial day weekend!
*Tuesday you will do the CW and HW.
As a rule of thumb, the question will tell you which standard deviation it wants. At this level, it is almost Population SD.
To determine values above or below the mean, add or subtract the standard deviation that number of times. For example if it wants the range 3 standard deviations fro the mean, take the mean and: A) add the SD 3 times, then B) subtract the SD 3 times. The range is now from the lower answer to the higher answer.
(we are skipping lesson 15.5)
A) Video 15.6 (for 15.6 and 15.7)
*Today is just the video.
*Tomorrow and Monday you will apply this knowledge to lessons 15.6 and 15.7 CW and HW.
(For lessons 15.6 and 15.7)
***Correlation does not imply Causation. Pages 2-6 of the 7 page CW document give graphical examples of data that have high correlation rates. Their graphs move in almost identical patterns. When you look at the name of the data sets, you can clearly see that one has NO effect on the other, in other words, one does not CAUSE the other.
*Today is just the video.
*You will watch 2 more videos for lesson 15.8
*Friday you will apply this knowledge to answer lesson 15.8 CW and HW.
(1 of 3)
*Today is just the video.
*You will watch 1 more video for lesson 15.8
*Friday you will apply this knowledge to answer lesson 15.8 CW and HW.
(2 of 3)
*Today is just the video.
*Tomorrow you will apply this knowledge to answer lesson 15.8 CW and HW.
(3 of 3)
A) Recall the 3 Videos for 15.8 from this week.
*Below, there is 1 additional 5 minute video that explains how the correlation coefficient models the data on the graphs. View if you like.
B) Copy class notes into notebook
C) Answer homework and check answers.
Ditto 15.8
(3 pages)
Today you are taking your "TEST" on Unit 15. Follow the directions below.
This project will review your knowledge of piecewise functions in a fun way. The document to the right will take you through the program and necessary steps that you need to compete this project.
It is due next Tuesday. There is a Google FOrm for submission posted for next week. You may submit the project early.
Below is a list of assignments from this quarter. Please check eSchool to see if you are missing any. If you are, today is the day to make sure your work is complete. Incomplete work could lead to a placement change if necessary.
The Google Forms are still accessible on the website - just scroll up to the appropriate date.
All of the Delta Math assignments can still be completed:
Finish working on your Piecewise Functions Roller Coaster Project. It is Due tomorrow.
Since there is no Regents Exam and no Regents review, it is in your best interest to do some review on your own throughout the summer. After Friday's post you will see the JMAP packet that we used for review when Distance Learning began. There are 689 questions grouped by topic. The first 2 pages list the topics to make finding the appropriate questions easy.
This will remain up on the website all summer. We are NOT assigning this to you as a summer project. We are HIGHLY SUGGESTING that if you have time, you work your way through the packet. It will give you the Algebra foundation you need to be successful in Geometry and Algebra 2.
Can you believe it has been 13 WEEKS?!! All of you worked so hard during this crazy time. We are so proud of you!
It is a shame that we cannot say good bye to you in person. We wish you nothing but the best at North next year!
Enjoy the summer!!
Flipped Classroom Info
Flipped Classroom Videos on EdPuzzle
Class codes are:
Devine Period 1: tawzamv
Devine Period 2: gikecam
Devine Period 4: veujeir
Kroczynski Period 4: vebgohi
Unit 15 Statistics
Tentative
Unit 13 More Quadratics
Tentative
Unit 12 Quadratics
Unit 14 (After 11) Sequences
Delta Math
Unit 11 Radicals
Unit 10 Special Functions
Castle Learning Units 1-9
Unit 9 Functions
Delta Math
Color Wheel
Unit 8 Systems
Space
Unit 7 Graphing
Castle Learning Units 1-6
Unit 6 Inequalities
Delta Math - Unit 6 Project
*Due Monday after Thanksgiving
*Late Date 12/3 with 80% credit
Unit 5 Word Problems
Unit 4 Equations
Unit 3 Factoring
Project: Delta Math Units 1-2
Unit 2 Polynomials
Unit 1 Real Numbers
Project: Delta Math 7ACC Review