Precalculus Fall 2011

calculator dictionary graph paper graph simulator


Special thanks to the teachers at Lewis & clark high School in Spokane Washington! Mark Lund, Matt Tully-Rupert & Josh Fischer who helped me design the pacing guides and flow of the curriculum for Precalculus & Honors Precalculus



Print off the following resource pages and start a portfolio for this class! Remember to fill out the goal statement form.

      Precalculus Student Requirements & Expectations

        Precalculus Units 1-7 Overview

        Precalculus Syllabus

        Student Goal Statement Form

        Precalculus Daily Rubric

        Precalculus Investigation Rubric

Precalculus online help - Pearson Education

       In the drop down menu pick pick the following category:
        Demana: Precalculus; graphical, numerical, algebraic, 7E



Lets get to know Mr. Monte in this powerpoint.

        montes powerpoint - get to know each other quiz/icebreaker



Precalculus online help - Pearson Education

        In the drop down menu pick pick the following category:
        Demana: Precalculus; graphical, numerical, algebraic, 7E





Khan Academy
I believe strongly in 'math online'! Seeing different personalities present the same material in different ways. Throughout these math website pages I refer to the Khan Academy for resources, videos & practice. I hope that each math student login to the Khan Academy and use the practice problems provided & watch the videos pertaining to the particular level of math they are studying! Just email me for the 'coach' code so that you can be tracked, monitored, and helped along the way!

For Precalculus students after you login and find your coach go to the practice tree and near the bottom of the tree you will need to search the practice treeto find the topics to be watched & practiced.
Precalculus tends to include math concepts from all around tree so I will provide many links throughout the year. For now though please focus on exponents, logarithms, trigonometry topics!


Remember, Precalculus is sometimes referred to as the heavy lifting of mathematics. To be successful with the math concepts in this unit it is NOT necessary to complete all of th eitems below. This is a list of resources I may use depending on time allowed and each classes demonstration of understanding of each math concept. Each item listed should have the problems listed necessary to demonstrate complete understanding of the particular math concept. If the student wants or needs more practice then feel free to complete more of the items on the given worksheet. NOTE: if these problems are 'easy' then move on, BUT if you find difficulty with the math concepts then MORE practice is needed! I definitely understand that to do all the work listed in each unit would take an extremely long time so just remember to make a plan, budget your time, and if a problem arises that you do not understand make sure to get help before you fall behind. At the end of each unit you will see an 'honors section' which also contains specific worksheets focusing on specific math concepts.

Answer keys will be provided for all of the assignments during class.

Unit 1
day 1
Unit 1 - Exploring Functions

       Student Self Tacking Sheet - Unit 1 Targets 1A, 1B, 1C, 1D, 1E & Calendar Pacing Guide

        entry task day 1 - isolate the variable (livescribe-may take a moment to load)

        preassessment for students
day 2

     entry task day 2 - simplify radicals (livescribe-may take a moment to load)

       reducing radicals practice
day 3

     entry task day 3 - simplify radicals part 2 (livescribe-may take a moment to load)

       reducing radicals practice part 2
day 4

       polynomials & factoring supplemental reading & examples

       polynomials & factoring practice book work section appendix A.2; page 851 #1,3,5,7 & 11-48 every 6th (11,17,23,29,etc)

              tutorial - Mr. Monte on factoring basic quadratics
              tutorial - Mr. Monte on factoring basic quadratics
              tutorial - Mr. Monte on factoring basic quadratics, different technique
              tutorial - Mr. Monte on factoring basic quadratics, tic tac toe method
              tutorial - Mr. Monte on factoring basic quadratics, tic tac toe method
              tutorial - Mr. Monte on factoring basic quadratics, leading coefficient higher than 1
              tutorial - Mr. Monte on factoring basic quadratics, my favorite method
              tutorial - Mr. Monte on factoring basic quadratics, use the quadratic formula
              tutorial - Mr. Fischer on factoring basic quadratics
              tutorial - Mr. Fischer on factoring basic quadratics
              tutorial - Mr. Fischer on factoring higher order polynomials
              tutorial - Mr. Fischer on factoring
              tutorial - Mr. Fischer on factoring with more than 1 variable
              tutorial - Mr. Fischer on factoring difference of cubes
day 5

       reducing radicals practice part 3

       more simplifying & reducing part 4


Khan Academy has several great tutorials on exponents & radicals, just click and look at the center of the tree for 'exponents', & 'radicals'.
day 6

        book work section 1-1; page 81 #1,3,5,7 & 11-48 every 6th (11,17,23,29,etc)
day 7

        domain & range practice
day 8

        domain & range practice part 2


Check out the practice tree and locate the branches of the tree labeled, functions 1, 2, & 3 which lead into domain, range, inverses this is a good starting base for this class.


Get started with Khan Academy here if you have not already; domain, range, introduction to inverse functions
day 10-13


        book work section 1-2; page 102 #1,3,5,7 & 11-70 every 6th (11,17,23,29,etc)

        examine example 7 & 8 for additional understanding!

              tutorial - Mr. Fischer on domain & range

              tutorial - Mr. Fischer on domain & range

        section 1 & 2 practice assessment
day 14-15


        book work section 1-3; page 113 #1,3,5,7 & 35-44 all

              tutorial - Mr. Fischer works #30
              tutorial - Mr. Fischer works #32
              tutorial - Mr. Fischer works #36
              tutorial - Mr. Fischer works #38
day 16-18

review specific problems from the book sections 4,5, & 6
        book work section 1-4 page 124 #1,3,5,7 & 11-50 every 6th (11,17,23,29,etc)

        book work section 1-5; page 135 #1,3,5,7 & 11-48 every 6th (11,17,23,29,etc)

        book work section 1-6; page 147 #1,3,5,7 & 11-50 every 6th (11,17,23,29,etc)

        graphing asymptotes practice worksheet
day 19-20

quick review of basics on function compostition & inverses, check for understanding - 100% quiz then move on.
        function composition worksheet part 1

        function composition worksheet part 2
              tutorial - Mr. Fischer on compostions of functions 1
              tutorial - Mr. Fischer on compostions of functions 2
              tutorial - Mr. Fischer on compostions of functions 3

        inverses worksheet
day 21-22

open book & notes review of the 10 basic functions (hoepfully this is review, if not we will make sure all have tools necessary to be successful!)
        10 basic functions master table

        10 basic functions table - name that function

        10 basic functions table - give the standard equation

        10 basic functions table - sketch the basic form
day 23-24


        diagonals of a regular polygon

        diagonals of a regular polygon practice

        formulas for geometric figures

Honors

Honors PreCalculus additional practice
        domain & range practice

        composite functions practice

        parametrics equations & domain/range practice

        parametrics equations & domain/range practice part 2
day 23-24


        book work unit 1 review; page 165 #1,3,5,7 & 11-60 every 6th (11,17,23,29,etc)


Unit 1 Final Assessment should be done by Oct. 15th.
        Unit 1 practice assessment

        Unit 1 practice assessment answer key

Unit 2
day 1
Unit 2 - Polynomial, Power, & Rational Functions

       Student Self Tacking Sheet - Unit 2 Targets 2A, 2B, 2C & Calendar Pacing Guide

       Preassessment for Unit 2
day 1-3


        graphing asymptotes practice worksheet

        Parametrics & rates of change worksheet

        Parametrics & rates of change take home quiz

        Working with rectangles and rates of change
day 4-5


        completing the square practice

        completing the square practice part 2
day 6-7


        book work section 2-1; page 182 #1,3,5,7 & 11-62 every 6th (11,17,23,29,etc)
day 8-9


        book work section 2-2; page 196 #1,3,5,7 & 11-63 every 6th (11,17,23,29,etc)
day 10-11


        book work section 2-3; page 210 #1,3,5,7 & 11-63 every 6th (11,17,23,29,etc)
day 12-13


        book work section 2-3; exploration #1 - end behavior practice
day 14-15


        book work section 2-4; page 223 #1,3,5,7 & 11-65 every 6th (11,17,23,29,etc)
day 16-20


        book work section 2-5; page 235 #1,3,5,7 & 11-58 every 6th (11,17,23,29,etc)
day 21-23


        entry task & intrdocution to section 2.6 - fundamental theorem of algrebra

        book work section 2-6; page 245 #1,3,5,7 & 11-66 every 6th (11,17,23,29,etc)
day 24-27


        book work section 2-7; page 182 #1,3,5,7 & 11-48 every 6th (11,17,23,29,etc)
day 28-30


        book work section 2-8; page 182 #1,3,5,7 & 11-48 every 6th (11,17,23,29,etc)
day 31-33


        book work review section; page 182 #1,3,5,7 & 11-48 every 6th (11,17,23,29,etc)

Honors


Honors PreCalculus additional practice
        degree & leading coefficient practice

        honors sections 2.3 extrema practice

        honors sections 2.4 multiplicity practice

        honors sections 2.4 additional practice

        honors section 2.5 conjugates, graphing complex numbers

        honors section 2.5 conjugates, graphing complex numbers day 2

        honors section 2.6 conjugates, graphing complex numbers day 3

        honors section 2.6 conjugates, graphing complex numbers day 4

        honors section 2.7 asymptotes & intercepts practice day 1

        honors section 2.7 asymptotes & intercepts practice day 2

        honors section 2.7 asymptotes & intercepts practice day 3

        honors section 2.8 extraneous solutions practice

        honors section 2.9 inequalities solutions practice
day 35


Unit 2 Final Assessment should be done by Thursday November 24th. (Thanksgiving Break - this is in a perfect world!)
        Unit 2 practice Final

Precalculus Unit 3
day 1
Unit 3 - Exponential, Logarithmic, & Logistic Functions

       
        


        exponents rich task practice

        solving exponents & logarithms practice
day 1

        Exponential functions practice

        Base 'e' exponential practice
day 1-3


       

       
day 4-5


        exponential growth & decay practice

        exponential growth & decay practice day 2
day 6-7


       

       
day 8-9


        Logarithm practice

        Logarithm practice day 2
day 10-11


       

       
day 12-13


       

       
day 14-15


        Logarithm practice day 3

        evaluate logarithms practice
day 16-20


        logarithms & time value of $$$ practice

       
day 21-23


       

       
day 24-27


       

       
day 28-30


       

       
day 31-33



Unit 3 Final Assessment should be done by Jan. 31st.
        Unit 3 final review

Precalculus - Unit 4
day 1
Unit 4 - Trigonometric functions

        

        


        truss trigonometry

        new look at distances & fractions
day 1

       Holt Chap 13 section 1 - Right Triangle Trig practice

       
day 1-3


        Inverse trigonometry supplement

        Chapter 4 section 4; click on this link to see the sine & cosine function graphed
day 4-5


       

       
day 6-7


        convert to decimal form practice

        Conversion from Angular Speed to Linear Speed
day 8-9


       

       
day 10-11


        Trigonometric Functions of Angles Other Than Positive and Acute

        periodic functions practice day 1
day 12-13


        periodic transformations practice day 2

        specific shifts to periodic functions practice day 3
day 14-15


       

       
day 16-20


        conitnuity/discontinuity practice

        continuity/discontinuity practice day 2
day 21-23


       

       
day 24-27


       

       
day 28-30


        evaluate inverse trig functions

        evaluate inverse trig functions day 2
day 31-33



Unit 4 Final Assessment should be done by Feb. 28th.
        Unit 4 practice Final
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