Getting Ready for the Diploma

There is a lot of time between the last class and the diploma exam - so here are some ways to get ready.

• work with a friend from class
• study a little bit each day - at least 1 hour but no more than 3
• study a variety of topics and questions every day instead of all from 1 section on one day, and then all of a different section on another
• do 3 questions from each unit each day instead of 30 questions from 1 unit on one day
• use your resources
• you have all of your old quizzes and assignments
• use them for practice by covering over the answers, doing the question and then checking it
• each chapter has mid-unit review and end of unit review - use these questions for more practice
• purchase a Key Booklet 
• check out Quest A+ Online Practice exams
• Check the blog for notes and reminders
• Make a summary sheet (not a cheat sheet)
• list the most important things to remember from each unit on the sheet such as 
• difference between perms and combs
• remember to subtract the overlap in Venn diagrams 
• don't write formulae they give you, write the ones they don't such as the finance formula from exponentials or max/min from sinusoidal

Exam day tips

• arrive early!!  return your text book after the exam
• eat breakfast!!  you will be smarter for longer on a good breakfast
• get ready the night before - put these items in your shoes by the door!!!
• calculator
• pencils
• erasers
• ID
• study your summary sheet , put it away and do a memory dump when you get your test
• TURN YOUR DIAGNOSTIC ON!!!!  (2nd 0 -> Catalog, scroll to Diagnostic On)

Good luck!!  Let me know how it goes by email swmoses@cbe.ab.ca or twitter @swmoses

Rational Expressions - Simplifying, Multiplying and Dividing

Today we worked on

• Simplifying Rational expressions - similar to reducing fractions by dividing by the same value into all terms of BOTH the numerator and denominator
• Creating equivalent expressions - either multiplying or dividing numerator AND denominator by the same value
• Multiplying rational expressions - similar to multiplying fractions 
• (num x num over denom x denom)
• Dividing rational expressions - similar to dividing fractions
• division becomes multiplication
• invert 2nd fraction (or rational expression)
• NPV's - Non permissable values - values such that when used produce a denominator of 0
• check all denominators from the ORIGINAL expressions
• Check denominators of second fraction after division (numerator of 2nd fraction becomes denominator after inverting it)

Class notes below

Equivalent rational expressions

Simplifying Rational Expressions

Meaning of NPV's

Multiplying Rational Expressions

Dividing Rational Expressions

Getting Ready for Rational Expressions

To get ready you will need to know all of these skills and concepts.  Furthermore, you may need to draw upon these skills or concepts at any given time and often multiple skills in a random order to solve problems

• Fraction Skills
• Common denominators
• reducing
• multiplying and dividing
• Order of Operations
• Solving Linear Equations
• Expanding Polynomials
• Factoring trinomials
• Solving trinomial equations
• Using the Quadratic Formula

Here is the answer key to the review pages

Re-writes

Any student wishing to re-write a unit test can under the following guidelines

• Choose only 1 test to re-write
• check HomeLogic to see which one you did worst on or which one would benefit you the most by re-writing by its relative weighting
• Inform Mr. Moses by Monday at the end of class (don't inform = don't re-write) as I need time to copy tests)
• complete ALL (each and every) HW question for the ENTIRE unit of the test you wish to re-write
• Each question has to be fully completed with ALL work, steps and diagrams shown
• Each question has to have had the answer checked.
• submit your HW on Tuesday morning
• re-writes will be held on Tuesday July 28 from 12:15 - 3:00 only.  
• Due to very limited time left Tuesday is the only day that works to copy, mark and update your marks in time for the end of the course
• You will get to keep your better of the 2 marks
• did better 2nd time?  get the new mark
• did worse 2nd time?  keep your first test mark.

Sinusoidal Functions

We started using a new type of function today
Sinusoidal Functions are functions that resemble repeating wave patterns
There are Periodic functions (ones that repeat in a regular pattern but cannot be drawn using a sine function.  Examples might be heartbeats, tangent functions)

We saw for the general sin equation y= a sin (bx + c) +d
a is the amplitude
b is the number of waves that fit in the space of 2pi (and is used in the formula Period = 2pi/b)
d is the median or middle value

We can use these to find other values as well
Max height = d + a
Minimum height = d - a

Or if we know the Max and min then (max + min)/2 = middle or median value

You can manipulate the formula to determine other values as well.

(Pictures of class notes to come soon)

Polynomial Functions - Quadratics

We looked at applications of polynomials.
We saw that we can

• Enter a table of data into our Calculators L1 and L2
• Perform Regressions (Stat> Calc #4 Linear, #5 Quadratic or #6 Cubic)
• Decide which is best (Look at the r or r^2 values - closer to 1 or -1 is better)
• Copy and Paste the best function into y= to graph (y=   VARS   #5Statistics > > Enter)
• Set your windows in the context of the question 
• Solve problems using either the 2nd> Calc #1 Value if you know X and are looking for Y, OR graph y2 = known value and find the intersection

Here are some notes:

# of Turning Points = Number of Local Max or Min Points

Log Functions and Applications

Today we used the CHANGE OF BASE LAWS to solve problems and make life a lot easier when dealing with Logs.
  See class notes below

We can use Log functions and regression to solve problems when given data to create a function

HW See Homework chart

Logs Unit Test Wednesday