Standards to be learned / assessed during Unit 1
*If a standard does not have a 'Calculator OK' designation, it is assumed the standard must be demonstrated without the use of a grapher*
Corresponding Basic Skills which are required for the Standard
*Some Standards will not have previous skills necessary.
For Calc BC...these basic standards will not be assessed (unless otherwise noted)...they are simply listed for your information and study purposes.
1.1a -- I can find derivatives of inverse trig functions
1.1b -- I can find the integrals of functions that result in inverse trig functions.
1.2 -- I can evaluate integrals by using the 'integration by parts' method.
1.3 -- I can approximate the value for a function if given an initial value and the differential equation (in particular if the differential equation is not easily separable...e.g.-- dy/dx=x+y or something of the like)...EULER'S METHOD
1.4 -- I can integrate rational functions that require the ratio (fraction) be split up and written as their 'partial fractions'
QUIZ A (assessing the 4 standards above)...and the area under the curve AB topic Q.
1.5 -- Integrals requiring algebraic manipulations
1.6 -- Indefinite integrals
1.7 -- The length of an arc ... make the connection with integrals.
1.8 -- Logistical equations...the coolness (applications) and the boringness (the AP questions)
Quiz B...and the AB topic Riemann Sum FRQ
Unit TEST (FRQ's pieces from BC and MC questions given as short answer format. 16 BC multiple Choice...9 AB Q's...25 total)
i -- derive using the product property
ii -- Point slope to write linear functions.
iii -- add fractions