Pre Calculus

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

pre-calculus - Fall 2010; unit 1,2,3

        precalculus rubric

        precalculus basic function problems

        precalculus basic function problems page 2

        precalculus basic function problems page 3 (exponential)

        precalculus basic function problems page 4 (trigonometry)

        precalculus basic function problems page 4 (trigonometry)

        precalculus basic function problems page 5 (analytic trig)


Precalculus online help - Pearson Education

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



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 - Exploring Functions

        preassessment for students

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

        domain & range practice

        domain & range practice part 2

        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!

        section 1 & 2 practice assessment

        book work section 1-3; page 113 #1,3,5,7 & 11-66 every 6th (11,17,23,29,etc)

        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)

        function composition worksheet

        inverses worksheet

        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

        diagonals of a regular polygon

        diagonals of a regular polygon practice

        formulas for geometric figures

Honors PreCalculus additional practice
        domain & range practice

        composite functions practice

        parametrics equations & domain/range practice

        parametrics equations & domain/range practice part 2

        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 2 - Polynomial, Power, & Rational Functions


        Unit 2 preassessment

        Parametrics & rates of change worksheet

        Parametrics & rates of change take home quiz

        Working with rectangles and rates of change

        completing the square practice

        completing the square practice part 2

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

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

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

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

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

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

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

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

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

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


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


Unit 2 Final Assessment should be done by Dec. 20th. (Holiday Break)
        Unit 2 practice Final



Unit 3 - Exponential, Logistic, & Logarithmic Functions


        exponents rich task practice

        solving exponents & logarithms practice


Honors PreCalculus additional practice
        Exponential functions practice

        Base 'e' exponential practice

        exponential growth & decay practice

        exponential growth & decay practice day 2

        Logarithm practice

        Logarithm practice day 2

        Logarithm practice day 3

        evaluate logarithms practice

        logarithms & time value of $$$ practice


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



Unit 4 - Trignonometric Functions


        truss trigonometry

        new look at distances & fractions

        Inverse trigonometry supplement

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


Honors PreCalculus additional practice

        convert to decimal form practice

        Conversion from Angular Speed to Linear Speed

        Trigonometric Functions of Angles Other Than Positive and Acute

        periodic functions practice day 1

        periodic transformations practice day 2

        specific shifts to periodic functions practice day 3

        conitnuity/discontinuity practice

        continuity/discontinuity practice day 2

        evaluate inverse trig functions

        evaluate inverse trig functions day 2


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



Unit 5 - Analytic Trigonometry



Honors PreCalculus additional practice

        trigonometry identities

        trigonometry sum & difference identities

        trigonometry multiple angle identities


Unit 5 Final Assessment should be done by Mar. 31st.
        Unit 5 practice Final



Unit 6 - Applications of Trigonometry


        Polar coordinates packet


Honors PreCalculus additional practice

        vectors in a plane practice

        vectors in a plane practice day 2

        dot product of vectors practice

        parametric equations practice

        polar coordinates practice

        trignonometry form of complex numbers


Unit 6 Final Assessment should be done by Apr. 30th.


Unit 7 - Systems & Matrices (partial fraction practice)



Honors PreCalculus additional practice

        partial fraction decomposition of the rational functions practice

        partial fraction decomposition of the rational functions practice day 2

        partial fraction decomposition of the rational functions practice day 3

        


Unit 7 Final Assessment should be done by May. 31st.


Unit 8 - Analytic Geometry (2D & 3D) Conic Sections


        the 6 basic conic sections & parabola shapes created by plane intersections


Honors PreCalculus additional practice

        conic sections & parabola practice

        unit 8 review practice

        


Unit 8 Final Assessment should be done by June. 15th.


Unit 9 - Discrete Mathematics: sequences & series of numbers



Honors PreCalculus additional practice

        sequences & series practice

        sequences & series practice day 3

        sequences & series practice day 4

        sequences & series practice day 5

        sequences & series convergent/divergent practice day 1

        sequences & series convergent/divergent practice day 2

        fibonnaci series practice


Unit 9 Final Assessment should be done by June. 15th.


Unit 10 - Introduction to Calculus: Limits, Derivatives, & Integrals



Honors PreCalculus additional practice

        Limits & Motion practice

        Limits & Motion practice day 2

        Limits & Motion practice derivatives

        Limits & Motion practice area practice day 2

        Limits & Motion practice area practice day 3


Unit 10 Final Assessment should be done by June. 15th.


Extra practice - brush up on your algebra skills!


        factoring trinomials

        multiply binomials

        completing the square

        parabolas
Web services provided by DLJWF, inc.. All Rights Reserved.