North Central Summer Assignment

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North Cetral Summer Assigmet For Studets Eterig AP Calculus BC As you prepare to eter AP Calculus BC, it is crucial that you have a solid Algebra foudatio.

1 North Cetral Summer Assigmet For Studets Eterig AP Calculus BC As you prepare to eter AP Calculus BC, it is crucial that you have a solid Algebra foudatio. This assigmet provides a opportuity for you to persoalize your ow learig. You eed to log hours i Kha Academy reviewig prerequisite skills ad hours reviewig Sequeces ad Series. FIRST: Set up a Kha accout. (See attached directios) Select Algebra,Algebra,Trigoometry, ad Pre Calculus whe settig up your accout SECOND: Joi the Mrs Musey s Calculus BC Class (directios attached) Class Code: K4DB8MX THIRD: Study the Memorizatio List i this packet. Withi the st week of the class there will be a memorizatio test o this material. No retakes available. These topics eed to be solid whe you eter calculus i the fall. Beig able to quickly recall these topics, formulas ad fuctios will help you i calculus The summer assigmet will look differet for each studet as you get to choose what you work o. The purpose is to solidify skills eeded to be successful i Calculus. As part of the assigmet, you eed to complete a log showig hours of time. Kha academy provides cotet for each curriculum (algebra, algebra, Trigoometry). There is more tha you ca complete i a summer! You get to choose. You ca choose from the list or type a subject like factorig i the search widow ad it will produce a list of videos/activities you ca complete. I will be lookig to see what activities you complete. Below is a list of suggested topics that will prepare you for Calculus. (total hours) Polyomials Liear Factorig Write the equatio of a lie give a poit ad a slope. Ed behavior Ratioals/Radicals Zeros Add, Subtract, Multiply, Divide Fuctios Graphs Composite Fuctios Asymptotes Fuctio Notatio Ed Behavior Iverse Fuctios Holes Basic Fuctios ad their graphs Cotiuity Formulas Covertig betwee Ratioal Epoets ad Radicals Pythagorea Theorem Trigoometry Area: Square, Rectagle, Triagle, Trapezoid Right Triagle Trig Volume: Cylider, Prisms (triagular, rectagular cube) The Uit Circle Graphig Trig Fuctios I additio to the topics above you must sped hours o the topic of Series this topic is uiquely covered i Calculus BC. There is a Series Sectio i Algebra II ad Pre Calculus called Series. Cover as may topics as you ca i hours. The Kha log is due o the first day of school. No late assigmets accepted. Please feel free to cotact me if you have ay questios. Mrs. Ashlee Musey North Cetral High School ashleem@spokaeschools.org

2 SAMPLE LOG Date Cotet Time 6//8 Completed : Practice: amplitude of siusoidal fuctios from graph. Practice: graph siusoidal fuctios Practice: Siusoidal fuctios phase shift 45 miutes KHAN LOG- hours of Algebraic Practice Date Cotet TIme

3 KHAN LOG- hours of Series Practice Date Cotet TIme

After eterig your birthday press cotiue. Select the correct cotet.

4 KHAN Directios Go to Khaacademy.com Select sig up (if you already have a accout the logi) Select Learer whe creatig your accout. After eterig your birthday press cotiue. Select the correct cotet. Select High School ad the Algebra, Algebra ad Trigoometry, ad Pre Calculus This is a eample for what shows i 6 th grade. You eed to select High School ad the Algebra, Algebra ad Trigoometry. Add your teacher as your coach. GO to the home page ad select Coaches Use the course code for your teacher. CODE: K4DB8MX

5 AP Calculus Summer Memorizatio List Trigoometric Eact Values/Uit Circle st Quadrat: Trigoometric Fuctios ad Idetities Trigoometric Idetities Liear Fuctios/Cocepts Slope: m = y y Poit Slope Form: y y = m( ) Slope Itercept Form: y = m + b Geometry Formulas

6 Properties of Epoets m = m+ m = m ( m ) = m (y) m = m y m ( y ) m = = m y m m = m = y = y = y y = = y y ( ) m = m = m

7 Basic Fuctios ad Key Values f() - - Absolute Value f() = f() Cubic f() = 3 f() - -/ - - Udefied / Ratioal/Reciprocal f() = f() e e.78 f() e e.78 f() f() f() - Udefied f() Epoetial (Base e) f() = e Natural Logarithmic f() = l Liear f() = Quadratic f() = Square Root f() = Cube Root 3 f() =

8 MEMORIZATION QUIZ PRACTICE TEST Sectio Trigoometric Eact Values/Uit Circle st Quadrat Fill i each of the followig... Radias Siθ Cosθ Taθ π 6 π 4 π 3 π Sectio 4 Geometry Formulas Rectagle Shape Area Square Triagle Trapezoid Parallelogram Circle Shape Rectagular Solid Cube Coe Right Circular Cylider Sphere Volume

9 Sectio 5 Liear Fuctios. Fill i each formula. Slope: m = Poit Slope Form: Slope Itercept Form:. Give two poits write the equatio of the lie that passed through the two poits i both poit slope ad slope itercept form. (, 6) (3, ) Sectio 6 Epoet Properties Matchig. m =. m = 3. ( m ) = 4. (y) m = 5. ( y )m = A. y B. m y m C. m y m D. y E. m+ 6. = F. m 7. m = y. y = = y = = y =. ( ) m = m = G. H. m I. J. m K. m

10 Sectio 7 Paret Fuctios: Complete all missig parts of the followig table. Fuctios should be the basic paret fuctios ad the graphs should be as accurate as possible. Colum A (Table) Colum B (Fuctio) Colum C (Graph) - - f() Ratioal/Reciprocal f() = f() f() f() Cubic f() = Absolute Value f() = Epoetial (Base e) f() = e e f() Natural Logarithmic f() = f() f() f() f() Liear f() = Quadratic f() = Square Root f() = Cube Root f() =

CALCULUS BASIC SUMMER REVIEW

CALCULUS BASIC SUMMER REVIEW NAME rise y y y Slope of a o vertical lie: m ru Poit Slope Equatio: y y m( ) The slope is m ad a poit o your lie is, ). ( y Slope-Itercept Equatio: y m b slope= m y-itercept=