• Honors Pre-Calculus B - Learning Targets

Chapter 7 - Trigonometric Identities and Equations

• I can simplify trigonometric expressions using reciprocal, quotient, and Pythagorean identities.  (Section 1)
• I can find a trigonometric value given information about another trig function and/or the quadrant.  (Sections 1-2)
• I can use algebraic manipulation and established trigonometric identities to verify other trigonometric identities. (Sections 2-4)
• I can use the sum or difference, double angle, and half angle identities to find an exact value.  (Sections 3-4)
• I can use trigonometric identities to solve trigonometric equations.  (Section 5)
• I can express my solutions in the correct form (radians, degrees, principal values, and all real's).  (Section 5) - embedded
• I can write a linear equation in normal form and vice versa.  (Section 6) – covered with chapter 9

Chapter 8 – Vectors

• I can write and graph a vector expressed in both rectangular and polar forms. (Section 1)
• I can add, subtract, and use scalar multiplication to find the magnitude of a vector.  (Sections 1-3)
• I can find the angle between two vectors and the magnitude of a resultant given two vectors in either rectangular or polar form. (Section 5)
• I can find the inner (dot) product of two vectors and I understand that this result is a number which can be used to determine the perpendicularity of the two vectors.  (Section 4)
• I can find the cross product of two vectors and I understand that this vector is perpendicular to both of the original two vectors.  (Section 4)
• I can use vectors to model and solve real world problems.  (Section 5)

Chapter 9 – Polar Coordinates and Complex Numbers

• I can plot ordered pairs given in polar coordinates.  (Sections 1)
• I can graph polar equations.  (Sections 1-2)
• I can determine the distance between two points in polar form.  (Section 1)
• I can convert between polar and rectangular coordinates.  (Section 3)
• I can write and graph lines in polar form.  (Section 4)
• I can add, subtract, multiply, and divide complex number in polar form.  (Section 5)
• I can convert complex numbers between polar and rectangular forms.  (Section 6)
• I can graph complex numbers in the complex plane.  (Section 6) - embedded
• I can find the products and quotients of complex numbers in polar form.  (Section 7)

Chapter 11 – Exponential and Logarithmic Functions

• I can solve exponential equations.  (Section 1)
• I can use the properties of exponents to simplify and evaluate expressions.  (Sections 1-2)
• I can graph an exponential function or inequality.  (Section 2)
• I can write an equation that models exponential growth or decay and use it to make predictions.  (Sections 2-3)
• I can simplify and evaluate logarithmic expressions and solve logarithmic equations using the properties of logarithms.  (Section 4)
• I can graph logarithmic functions and inequalities.  (Section 4)
• I can solve logarithmic equations using common or natural logs.  (Sections 5-6)
• I can model real world situations using exponential and logarithmic functions.  (Sections 5-7)