Math 097 Fall 2011 Daily Log Check After Each Class

Math 097 – Fall 2011 – Daily Log – check after each class

MOST RECENT DAY IS HERE

Thursday November 17, 2011

• We have finished all material from chapters 6 and 7. We just practiced for the test. The three problems from today’s handout are below. Complete it for next class.

Math 097 – Quadratic functions – Due November 22Name ______

You must show algebraic work to answer all questions – answer using complete sentences within context and with correct units.

Your paper must be neat and complete. You must show algebraic work to answer all questions – answer using complete sentences within context and with correct units.

1. An arrow is fired upward into the air with an initial velocity of 80 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given by the function

a) What is the initial height of the arrow? What does it mean within

b) What is the height of the arrow 3 seconds later?

c) When will the arrow be at a height of 160 feet?

(1) Solve this using a graphical approach – show graph with labels and indicate the answer in the graph

(2) Solve algebraically

d) When does it hit the ground?

e) When does it reach the maximum height?

f) Find the maximum height of the arrow.

g) Graph. Label axes with words and units. Label important information in the graph.

2) An object is thrown upward from the top of a building with an initial velocity of 48 feet per second. The height h(t) (in feet) after t seconds is given by

a) What is the initial height of the object? What does it mean within context?

b) What is the height of the object 4 seconds later?

c) When will the object be at a height of 192 feet?

(1) Solve this using a graphical approach – show graph with labels and indicate the answer in the graph

(2) Solve algebraically

d) When does it hit the ground?

e) When does it reach the maximum height?

f) Find the maximum height of the object.

g) Graph. Label axes with words and units. Label important information in the graph.

3. The total lengths of fiber-optic cable that telecom companies have for various years are shown in the table.

Let be the total length of cable (in millions of miles) that the telecom companies have at t years since 1996.

1. Use the graphing calculator to draw the scatter diagram. List all the models that fit the data well?
2. A quadratic model of the situation is . Does the model fit the data well?

Use quadratic regression in the calculator to check this model out.

1. An exponential model is . Does this model fit the data well?

Use exponential regression in the calculator to check this model out.

1. Use each of the models to predict the total length of cable that the telecom companies will have in 2010. Show work.

1. Solve and E(t) = 32. Show algebraic work. What does it mean in this situation?

Tuesday November 15, 2011

• We finished with all material from chapter 7 that will be on the test – look below for the listing of topics that will be on the test-highlighted in yellow
• Finish as many sections as possible from the MML assignment and then review the problems listed below. Many of the listed word problems are also in MML

Math 097 – TOPICS for Exam 4 – (December 1st) – Chapters 6 and 7 (only what is listed below)

Chapter 6

Section 6.1

1) Word problems with adding and subtracting polynomial functions

a) Example 10, page 280

b) Do problems: 75-78 page 283

You should be able to do the following:

• Define the variables with words and units
• Find (F+G)(x) and interpret in context with correct units
• Find (F+G)(#) and interpret in context with correct units
• Find (F-G)(x) and interpret in context with correct units
• Find (F-G)(#) and interpret in context with correct units

Section 6.2 – skills: Do problems 11, 41 and 55 from page 293.

Section 6.3 – skills: Do problems 1, 3, 27 from page 303.

Section 6.6 – skills: Do problems 69 and 75 page 327

• Word problem 89, page 328

Chapter 7 – these are the types of questions that you should be able to answer.

• Given data, use the calculator, sketch a scatter-diagram; identify the model to be used: linear, exponential or quadratic?
• Use the calculator to get the quadratic function that best fits the data
• Use the given quadratic function to answer questions of the form:

• Find the y-intercept and interpret in context with correct units
• Find the x-coordinate of the vertex and interpret in context with correct units (use the formula)
• Find the y-coordinate of the vertex and interpret in context with correct units
• Solve problems of the type given x, find y
• Solve problems of the type: find f(#) (same as given x, find y)
• Solve the problems of the type given y, find x

• Using a graphical approach
• Using the quadratic formula

(First set equation equal to zero, identify the constants a, b, and c, and then, use the formula)

• Solve problems of the type: find x, when f(x) = # (same as given y, find x)
• Find the x-intercepts and interpret within context with correct units.
• Interpret within context and with correct units expressions of the type f(6) = 8
• Graph the quadratic function

• Using your knowledge
• With the calculator

Section 7.2 – Finding the coordinates of the vertex of a parabola

• Read examples 4, 5, 6, and 7 pages 351-353
• Do problems 47, 49, 5, page 356

Section 7.5 – Quadratic formula

• Read example 1, page 379
• Problems 73, 75, 77, page 386

Section 7.8 – Modeling with quadratic function

• Problems 1, 3, 5 page 406

Thursday October 27, 2011

• We finished chapter 5
• Exam on chapter 5 – Thursday next week - Study 5.1-5.6 (except for 5.5 which we do not do)
• Complete the handout that you got today in class
• Work in MML, and finish all by Sunday. Then, you can concentrate in re-doing all the word problems done in class

• What will the test be like?
• STUDY THE EXAM ON CHAPTER 4. The test on chapter 5 will have similar stories and most of the questions will be of the type given y, find x.
• If you look at the exam for chapter 4, problem 7-b asked the question type given y, find x. In order to answer, we used a graphical approach. NOW we know the algebra (we solve using logarithms)
• Also, review the graphical approach
• You will also be given some story problems with exponential base e. STUDY section 5.6
• You will be given interpretation questions similar to the ones on test for chapter 4 and similar to today’s handout!!!!!
• Solve problems 7-10 from the final review which is in my website
• Study all the word problems done in class

Go over the exam in chapter 4 and for each problem, make up a question of the type given y find x, and solve it using algebra (common logs or natural logs)

Thursday October 20

• We will cover 5.1 and 5.2 – keep up with MML
• Come tomorrow to the math club tutoring session – bring your book and your questions

Math Club

Review Session!

Getting ready for the Exams?

Are you in a Math mood yet?

Come and get [free tutoring]n

When?Friday 10/21/2011

Where?SW40

Time? 4:30 - 6:00 pm

Tuesday October 18 – exam on chapter 5

There is an assignment due on October 20 – I gave it to you last class

Thursday October 13, 2011

• We worked on the handout from last class and EXTENDED problems asking more questions within context
• The solutions to this document have been posted in my website – scroll down to the chapter 4 material

• Work in MML which is open until tomorrow now. After that, use the STUDY PLAN and the problems listed in my syllabus to practice.
• EXAM ON CHAPTER 4 IS NEXT CLASS – in class we outlined the question types that you can expect on the test. If you were not in class, look at the study guide and to the document WHAT IS ON TEST 2 which are in my website
• Have a productive an MATHY weekend.

Tuesday October 11, 2011

• We worked on a handout 4.5 - Exponential Models (if you missed class, it is in my website: GOOGLE my name, get into Math 097, scroll down to find the chapter 4 handouts)
• Finish all the problems in today’s handout

• If you did not do what was due today, here it is again:

Due next class: on the quiz about the water and soft drink consumption, write a paragraph interpreting the y-intercept and the slope for each of the given situations. Connect the ideas please!

• MML is open until Friday – finish all sections – those assignments will not be available after 10/14. Make sure you finish by then.

• The exam on chapter 4 is Tuesday October 18th. To study:

• On the FINAL REVIEW, which is in my website, do problems: 7, 8, 9, 10. Remember that, for the type of problem: given y, find x, we solve it with a graph using the INTERSECT feature of the calculator
• Re do all handouts from class
• Do problems from the book: on the syllabus you have a listing of problems from the book, do the word problems listed on the syllabus – if you do not have the book, you can find the e-book in MML
• If you want to use MML to study, use the problems from the STUDY PLAN which is in MML. Select the problems listed on the syllabus and do them in MML

• The solutions to last’s week handout 4.3 - Exponential & Linear - solutions are in my website with chapter 4 material

Thursday October 7, 2011

• We finished the chapter 4
• Study for the test on chapter 4 which is Thursday next week – if you need help, get it now. The Math Science center offers free tutoring and it is open long hours.
• Complete the handouts that we started in class (attached below)
• Complete all MML assignments
• Due next class: on the quiz about the water and soft drink consumption, write a paragraph interpreting the y-intercept and the slope for each of the given situations. Connect the ideas please! Students who did not pick up the graded quiz, need to come to my office to get it in order to complete this assignment.

Tuesday October 4, 2011

• Worked on the handout on section 4.3 that was given out last week. Complete all that was not done in class
• Study sections 4.1 – 4.3 and work in MML
• We did exponential regression with the calculator. To practice, go to section 4.5 and solve problem 31 on page 210 (section 4.5). Exponential regression is similar to linear regression. You have to select ExpReg instead of LinReg
• Study for a quiz on 4.1-4.3 and on 4.5, similar to problem 31

Tuesday September 27

• Work in MML
• Study section 4.1
• Work in MML
• Review the test
• QUIZ next class (10 minutes only): interpret the slope. Use a complete sentence and use words within context.
• QUIZ on exponents, simple evaluations – no calculator
• QUIZ on scientific notation
• Complete the handout that I gave you the day of the test – it is due next class

Some instructions that you will see in your test

1) Sketch the graph of the function S(t). Do not waste time with the calculator; use your knowledge about linear functions. No scale needed. Label axes with variable names and units. Label the y-intercept.

2) Given a table of values and a grid

a) Label axes with letters, variable names and units.

b) Create a scattergram of the given data AND draw a line passing through

the starred (*) data points.

c) Use the calculator to determine the linear model equation for this data.

d) Use algebra and the two starred (*) points to determine the linear model equation for this data.

3) Answers must contain units.

4) Interpret within context - Include proper units in your interpretation.

Thursday September 15, 2011

• DID YOU MISS CLASS? Documents from today’s class are in MY MC (get into your intermediate algebra class and MA097-BOTH COURSES-Chapters 1&2); Sect2.2-WP18-LIFE-EXPT.doc; Sect2.2-WP22-RUN.doc; Section2-4-SLOPE-ARC.pdf
• We did problem 22 on section 2.1 (all the questions from the handout)

• For next class, do problem 18 on 2.1 (all the questions listed in the handout)
• I have placed the solutions to this problem in MYMC so you can compare with your work

Sect2 2-WP18-SOLUTIONS.doc

• For next class finish the third page of today’s handout

• Here you have a good review for your first exam: GO TO MY WEBSITE – PRINT THE FINAL REVIEW and answer questions 1 through 6 – answers are at the end of the review.

• Complete the assignments in MML
• Study for the first exam which is on Thursday 9/22 (chapters 1 and 2)

TUESDAY September 13, 2011

• Covered section 2.1 (did #2)
• DUE NEXT CLASS: go to the electronic book (in MML), problem 6 on section 2.1. We started the problem in class. You need to do parts a, b, c, d. Parts a and b were done in class – finish c and d showing all work.
• Section 2.2 is about finding equations for lines from a word problem – we have done this. Remember to do the following:

• Read the problem and define both variables with words and units
• Read again and, in a table, give the coordinates of two points on the line
• Find the equation of the line using y = mx + b OR y – y1 = m(x – x1)

• 2.3 is about notation of functions – we know this!!!!
• 2.4 is about interpreting slope within context – we know this!!!!
• Use the STUDY guide for chapter 2 (my website) to study for the test. Check all the topics you know and put ???? in the ones you don’t know. Bring your questions to class, my office, or the MSC.
• We have 2 more classes to review this before our next test
• Exam in chapters 1 and 2 is on Thursday 9/22
• Keep up with MML!!!!

Thursday September 8, 2011

• We discussed the homework
• I collected the handout on SKILLS
• We had a group quiz on a word problem
• We covered section 1.6
• STUDY 1.1-1.6 – do the MML for all those sections and MOVE AHEAD, exploring on your own!!!

• Work in MML, I made available the first 3 sections because of students who registered late. Once the assignment expires (9/9) a zero will be recorded as your grade.

• GO TO MYMC and print the document: LINEAR SUMMARY – complete it – due next Tuesday

Click on MYCOURSES

Access your INTERMEDIATE ALGEBRA course

• Click on FILES
• Click on MATH 097 – BOTH COURSES
• Click on the Chapters 1-2 folder
• Click on LINEAR SUMMARY

• THERE WILL BE AN INDIVIDUAL QUIZ ON A WORD PROBLEM – similar to what we did in class on Tuesday (similar to today’s group quiz)

Tuesday September 6, 2011

• We worked on a handout which covered sections 1.5 and 2.2
• We covered 1.5, finding equations of lines on the form

• Slope intercept form
• Point slope form

• We also found equations of lines applied to word problems (section 2.2)
• THERE WILL BE A QUIZ ON A WORD PROBLEM – similar to what we did in class

EVERYBODY – DO THE FOLLOWING!!!

• From now on, many documents will be in MYMC, go to MY MC click on MYCOURSES to access the courses you are taking and get into the INTERMEDIATE ALGEBRA,

• Click on FILES
• Click on MATH 097 – BOTH COURSES
• Click on the folder for Chapters 1 and 2. There are 3 documents
• The SKILLS-fall 2011 document is due next class (I gave you this in class, no need to print again!)
• We worked on the other document: Sect1.5 (I gave you this in class, no need to print again! You must complete parts e and f of problem number 6 – Ignore problem 7, we’ll do it in class. Solutions to this document are also posted in MYMC

Thursday September 1, 2011

• Do the MML homework – many assignments are due next week – do not wait until the last minute
• Bring a calculator to each class – there will be a calculator quiz

• We solved one word problem about deer population in years since 2003
• We covered 1.1-1.4 and did some skills problems: (study for a quiz in all of these sections)

• Section 1.2 - Graphing lines of the form

y = mx + band ax + by = c (using the intercepts)

• We used the calculator to

• Graph a line (go to Y= and enter the equation)
• Look at the table of a line (in 2nd GRAPH)

• Section 1.3 - We found the slope of a line using the formula
• Section 1.4 - We observed the “pattern” on a table of a line (this pattern is the slope and describes the change in y and the change in x)

Tuesday August 30, 2011

• Buy the MML and register in my course (see syllabus for coursed) – with MML you have access to the electronic book
• If you want you can also buy the book to be able to study when you do not have access to the internet
• Bring a TI-83 or 84 calculator

• We discussed syllabus
• We covered 1.1
• We covered some concepts of slope and y-intercept

• Print the study guides for chapters 1 and 2 (from my website)
• Print the HOUT: Linear Functions, Summary – due Tuesday September 6th (from website)
• Study for a quiz on 1.1