• WELCOME TO ADVANCED ALGEBRA  Spring 2020

     Resources: 

    https://www.bigideasmath.com/tutorial_list.php      This site allows you to watch videos on how to do problems in our textbook.  The "Example" videos and the "Monitoring Progress"  videos are excellent resources if you were absent or you need a reminder on how to do a type of problem.

     https://bim.easyaccessmaterials.com/index.php?location_user=cchs   This is a site that allows you to view the textbook online.  We use "common core high school".

     http://www.bigideasmathsolutions.com/    (select "common core high school" from menu)  This is a site that shows step by step how to do each of the odds in your textbook.

      https://www.bigideasmath.com/external/apps/   (you can also go to app store and find bigideasmath, which is a free app)

     

     

     Click here for Course Guidelines and Policies

     


    NEXT TEST DATE:  FRIDAY 2/28/2020


     

    WEDNESDAY 1/8/2020

    Learning Intention:  Introduction to Exponential Functions

    Practice Set #1  Section 6.1

    page 300 # 5-19 odd, 20, 21, 22, 53-60 all

    Remember to check your answers with those provided in the back of the book.  The answers to the evens will be presented in class.

    Success Criteria:

    • I can identify exponential growth and exponential decay from a graph
    • I can identify exponential growth and exponential decay from a function
    • I can find the percent increase or percent decrease from a exponential function
    • I can graph the parent exponential function for growth and decay given y = (b)^x

     


    THURSDAY 1/9/2020

    Learning Intention:  Applications of Exponential Functions

    Practice Set # 2  Section 6.1 continued

    page 300 # 23, 24, 25, 27, 28, 29-37 odd, 41-45 all

     

    Success Criteria:

    • I can use the compound interest formula in context
    • I can convert y = a(b)^(t/c)  into y = (1+r)^t or  y=(1-r)^t
    • I can write an exponential model from a word problem

     


    FRIDAY 1/10/2020

    Learning Intention:  The Natural Base e

    Practice Set #3  Section 6.2

    page 307 # 3-35 odd, 41, 48, 49

    Success Criteria: 

    • I can simplify Natural Base expressions
    • I can Graph Natural Base functions
    • I can use the continuously compounding interest formula
    • I can compare Natuarl Base mathematical models when given a function and/or a graph

    Monday 1/13/2020

    Learning Intention:  Introduction to Logarithms

    Practice Set # 4  Section 6.3

    page 314 # 5-15 odd, 17-24 all, 43-51 odd, and worksheet  we completed the odds in class for notes the evens are to be done with the book work.

     

    Success Criteria:

    • I can rewrite a logarithmic equation in exponential form
    • I can rewrite an exponential equation in logarithmic form
    • I can evaluate a logarithm
    • I can solve a logarithmic equation by rewriting in exponential form
    • I can find the inverse of a logarithmic function
    • I can find the inverse of an exponential function

     

     TUESDAY 1/14/2020

     Learning Intnetion:  Logarithmic Functions

     Success Criteria:

    • I can use the inverse properties for exponential & logarithmic functions
    • I can graph a logarithmic function

    Practice Set # 5 - page 315 # 35-41 all, 44-52 even, 55, 57, 59, 60, 71, 72, 75  plus worksheet  click here for worksheet and key

    click here for answers to the evens. 

    The odd answers are in the back of the textbook.


    BLOCKDAY  1/15/2020 to 1/16/2020

    Learning Intention:  Transformations of Logarithmic and Exponential Functions

    CLASSWORK   Section 6.4  (This is not collected)  Required practice set is the worksheet below.

    page 322 # 3-7 all, 9, 13, 15, 30, 35-41 odd, 47, 57, 59   Check answers in class.

    Success Criteria:

    • I can graph the transformation of an exponential function
    • I can graph the transformation of a logarithmic function
    • I can describe the transformation of an exponential and logarithmic function
    • I can write a rule that represents the transformation of an exponential function
    • I can write a rule that represents the transformation of a logarithmic function
    • I can find the equation for an asymptote using a transformation

    Practice Set # 6   TEST PREPARATION BELOW

     Worksheet to help prepare for the test tomorrow.  Click here for worksheet and KEY

    test on sections 6.1 - 6.3 is tomorrow. 

     


    FRIDAY 1/17/2020

    TEST # 1 TODAY  

    If you did not finish practice set #6 from blockday then finish it for homework.  If you did finish it then you have no weekend homework.

     


     MONDAY 1/20/2020 - NO SCHOOL TODAY  MLK DAY


     

    TUESDAY 1/21/2020

    Learning Intention:  Properties of Logarithms

    Practice Set # 7 Section 6.5

    page 331 # 13-39 odd, 49, 51, 55

    Success Criteria: 

    • I can expand a logaritmic expression using the logarithmic properties
    • I can condense a logarithmic expression into a single log using the logarithmic properties
    • I can use the change of base formula to approximate the value of a logarithmic expressoin

     


    BLOCKDAY 1/22-1/23 2020

    Learning Intention:  Solving Logarithmic and Exponential Inequalities Graphically with Technology

    Practice Set # 8

     page 339 # 47-53 odd, 59, 61  (Grahing calculator or Desmos)  click here for worksheet to help with structure of p339

    and    page 331 # 14-40 even  (2nd day with properties)

    click here for answers to the evens

    Success Criteria

    • I can use a graphing calculator (or Desmos) to solve an exponential and logarithmic inequality graphically
    • I can use a graphing calculator (or Desmos) to solve an exponential and logarithmic equation

     


    FRIDAY 1/24/2020

     Learning Intention:  Solving Logarithmic Equations without technology

    Practice Set # 9

    page 338 # 5-15 odd, 21-39 odd, 75

    Success Criteria

    • I can solve a logarithmic Equation of the form   log(   )= number
    • I can solve a logarithmic equation of the form log(   )=log(   )
    • I can use logarithmic properties to solve a logarithmic equation

     


     MONDAY 1/27/2020

    Learning Intention:  Using Properties approximations to evaluate logarithms

    Practice Set # 10

    page# 331 # 3-12 all

    page 338 # 6-16 even ,22, 26, 32, 34, 38         click here for answers to evens

    Success Criteria:

    • I can use the properties of logarithms to approximate the value of a log without a calculator.

     


    TUESDAY 1/28/2020

    Warm up to practice calculator click here

    Questions and work time to prepare for test.  Part I of test is on Blockday and Part II is on Friday.  The part one portion is 10 minutes using a calculator.  The part II portion on Friday is no calculator.

    Practice Set # 11  click here for worksheet and KEY

     


    BLOCKDAY 1/29/2020-1/30/2020

    Questions (30 minutes)

    TEST # 2 TODAY - Calculator Part of test (10 minutes)

    WorkTime to prepare for no calculator portion of test on Friday

    Practice Set # 12  Worksheet  click here for worksheet plus key

     


    FRIDAY 1/31/2020

    TEST 2  TODAY PART 2 - No calculator portion

    Practice Set #13  worksheet  click here for worksheet and key

     


    MONDAY 2/3/2020

    Learning Intention:  Applications Using Exponential Modeling

    Practice Set # 14

    Worksheet   click here for worksheet and key exp modeling

    Success Criteria: 

    • I can model a simple growth or simple decay application
    • I can model a continuous growth or continuous decay application
    • I can determine the time needed for doubling, half-life, tripling, and other factors of the original amount.
    • I can use the Carbon-14 dating equation

    TUESDAY 2/4/2020

    Learning Intention:  Applications Using Exponential Modeling

    Practice Set # 15

    Worksheet  click here for worksheet and key     click here for KEY TO PRACTICE SET

    Success Criteria:

    • I can use the model  y = ae^(kt) and given values to solve for k.
    • I can write an exponential model for partial time  y = a(b)^(t/c)

     


    Spring 2021 add page 346 lesson in this spot - Add a day.

     


     BLOCKDAY  2/5/2020-2/6/2020  THE BLOCK DAYS ARE REVERSED! 

                                                   Wednesday 2/5/2020 is Periods 1, 2, 3

                                                   Thursday 2/6/2020 is Periods 3, 4, 6, 7

     

    Work Period to Prepare for Test  (This is the word problem applications test)

    Practice Set # 16  - Two Column Worksheet    click here for two column worksheet

     Please note that the answers to the problems are on the bottom of each column.

     


     FRIDAY 2/7/2020

    TEST TODAY - Exponential Modeling

    Practice Set #17

    click here for worksheet and key

     


     MONDAY 2/10/2020

    Learning Intention:  Direct Variation & Inverse Variation Models, and writing exponential models from tables.

    Practice Set # 18 page 363 # 3-14 all, 15-23 odd, 35, 37, 39  and page 346 # 3-6 all, 7-11 odd, 15

    Success Criteria:

    • I can classify an equation as direct variation, inverse variation or neither
    • I can classify a table of data as direct variation, inverse variation or neither
    • I can write an equation for an inverse variation model
    • I can write an equation for an exponential model from a table of values.
    • I can identify the type of model from a table of values as linear, quadratic, exponential, inverse variation or neither.

     


    TUESDAY 2/11/2020

    Learning Intention:  Multiplying & Dividing Rational Functions

    Practice Set # 19

    page 380 # 3-19 odd, 27-33 odd, 51, 53

    Success Criteria:

    • I can simplify a rational expression
    • I can multiply a rational expression
    • I can divide a rational expression

    BLOCKDAY 2/12/2020 and 2/13/2020

    Learning Intention:  Adding & Subtracting Rational Expressions and Simplifying Complex Fractions

    Practice Set # 20

    page 388 # 3-7 odd, 17-25 odd, 39-43 odd

    Success Criteria

    • I can find the LCD for rational expressions
    • I can add rational expressions
    • I can subtract rational expressions
    • I can simplify a complex fraction

     


     FRIDAY 2/14/2020

     Practice Set # 21 click here for packet for break

     


    MONDAY 2/24/2020

    Learning Intention:  Graphing Rational Functions Using Transformations.

    Practice Set # 22  page 370 # 3,5,11-17 odd, 21-24 all, 33-39odd  (Remember to find the intercepts for your graphs)

    Success Criteria:

    • I can graph the parent function y = 1/x
    • I can graph a rational function of the form y = 1/x using transformations
    • I can rewrite a rational function of the form y = (ax+b)/(cx+d) using long division into the form y = 1/x

     


    TUESDAY 2/25/2020

    Learning Intention:  Graphing Rational Functions - Methods without transformations.

    Practice Set #23  worksheet

    click here for notes

      click here for classwork sheet and Answer Key

    Homework Worksheets and Answer Keys click here

     Success Criteria:

    • I can find the coordinates of the hole in the graph of a rational function
    • I can find the vertical asymptotes of the graph of a rational function
    • I can find the horizontal asymptotes of the graph of a rational function
    • I can find the intercepts of the graph of a rational funciton
    • I can graph a rational function of the form  y = [(x+a)(x+b)]/[(x+a)(x+c)]

    BLOCKDAY 2/26/2020-2/27/2020

     No New Lesson - Worktime

    PARTNER  mini worksheet on graphing

    click here for worksheet and key

    Practice Set # 24  click here for review worksheet to prep for test

     


    FRIDAY  2/28/2020

     

    TEST #4 Today

    Practice Set # 25 worksheet  click here for worksheet and key

     


    MONDAY 3/2/2020

    Learning Intention: Solving Rational Equations

    In class practice on new lesson

    Practice Set # 26

    page 396 # 3, 5, 7, 9, 10, 19-29 odd.  Page 389 # 39, 40, 41 (use method of clearning denominators)

    Success Criteria
    • I can solve a rational equation by cross multiplying
    • I can solve a rational equation by clearing denominators
    • I can simplify a complex fraction by clearing denominators

     


    TUESDAY 3/3/2020

     

    Learning Intention:  Rational Functions & Rational Equations & Writing Equation for Exponential Function

    Practice Set # 27

    page 396 # 37-43 odd, then do 6, 22, 24, 28

    page  346 # 3-6 all, 7-11 odd, 15

    Success Criteria;

    • I can find the inverse of a rational function 
    • I can solve a rational equation by clearing the denominator using LCD
    • I can write the equation for an exponential model using two points.

     


     BLOCKDAY 3/4/2020-3/5/2020

     
    Classwork to turn in before end of class:  Page 396 # 12-14all, 33, 34, 45a.
     
    Practice Set # 28
     

     

     


    FRIDAY 3/6/2020

     

    Practice Set # 29

     WORK PERIOD & HELP TIME

    Practice Set #   worksheet

    click here for worksheet

     


    MONDAY 3/9/2020

     Learning Intention:  Sequences & Series

    Practice Set #30 page 414 # 5, 9, 11, 15, 17,21, 25, 27,  31, 32, 35, 39, 41, 43, 47, 48, 49, 50, 63

    Success Criteria:

    • I can write the first six terms of a sequence
    • I can describe the pattern of a sequence
    • I can write a series in summation notation
    • I can find the sum of a series from summation notation

     

     


    TUESDAY 3/10/2020

     

    Learning Intention:  Arithmetic Sequences & Series

    Practice Set #31 page 422 # 3-6all, 14-17 all, 23-26 all, 31-37 odd, 47-50 all

    Success Criteria:

    • I can determine is a sequence is arithmetic, and find the common difference
    • I can write a rule for the nth term of an arithmetic sequence
    • I can write a rule for the nth term of an arithmetic sequence given two terms
    • I can find the sum of an arithmetic series