Weekly Objectives
CHAPTER 9
Week of 2/22 - 2/25
1. Use the standard form of the equation of an ellipse to graph the ellipse and find the center, vertices, foci, domain and range.
2. Complete the square to write an equation of an ellipse in standard form.
3. Use the standard form of the equation of a parabola to graph the parabola and find the vertex, focus, directrix, domain and range.
4. Complete the square to write an equation of an parabola in standard form.
5. Solve word problems involving parabolas and ellipses.
CHAPTER 3
Week of 2/2 - 2/4
1. Graph exponential functions with transformations - understand domain, range, asymptote and intercepts(both algebraically and graphically).
2. Graph logarithmic functions with transformations - understand domain, range, asymptote and intercepts (both algebraically and graphically).
3. Evaluate exponential and logarithmic expressions without a calculator using their inverse relationship.
4. Evaluate exponential and logarithmic expressions with a calculator.
5. Use formulas to evaluate compound interest problems.
6. Solve word problems involving exponents and logarithms.
7. Be able to explain the inverse relationship between exponents and logarithms (algebraically, numerically, graphically, verbally).
Week of 2/8 - 2/10
1. Use properties of logarithms to expand an expression.
2. Use properties of logarithms to condense an expression.
3. Solve exponential equations using the same base on both sides.
4. Solve exponential equations using logarithms.
5. Solve logarithmic equations using the exponential form.
6. Solve logarithmic equations by writing as a single log on both sides.
7. Use equations to solve word problems.
8. Continue to understand the inverse relationship of exponential and logarithmic functions.
Week of 2/14 - 2.17
1. Understand how to write an equation modeling exponential growth and decay.
2. Use logistic growth models to understand data.
3. Make a scatterplot and determine what kind of function would fit best.
4. Write an exponential function that is not in base e as a function of base e.
CHAPTER 4
Week of 9/27-10/1
1. Convert angles from degrees to radians and radians to degrees.
Week of 10/4-10/8
1. Understand how to draw angles in standard position including negative, coterminal, radians, degrees.
2. Know how to find arclength s or central angle θ, using s = rθ
3. Know
how to find linear and angular speed.
Week of 10/11-10/15
1. Use right triangles to evaluate trig functions (including 30, 45, and 60 degrees)
2. Use cofunctions.
3. Solve problems using trig.
4. Use a unit circle to evaluate trig functions (including multiples of 30, 60, 45, 90 and the radian counterparts)
5. Use trig identities to find trig functions
6. Use a calculator to evaluate trig functions and inverses (in degree and radian modes).
Week of 10/18 - 10/22
1. Evaluate the 6 trig functions for any angle through any point
2. Understand how reference angles can be used with +/- to find the 6 trig functions of angle.
3. Find the 6 trig functions of any "special" angle on the unit circle.
4. Graph y = sin x and y = cos x with different amplitudes and periods.
Week of 10/25-10/29
1.Graph y = sin x, y = cos x with different amplitudes and periods.
2. Graph y = sin x, y = cos x with a phase shift and vertical shift.
3. Write an equation given a graph of y = sinx or y = cos x with transformations.
4. Evaluate inverse trig functions for special angles.
5. Use a calculator to evaluate inverse trig functions.
Week of 11/1 - 11/5
1. Evaluate inverse trig functions for special angles.
2. Use a calculator to evaluate inverse trig functions sin-1x, cos-1x, and tan-1x.
3. Evaluate composite functions with inverse trig functions with numbers and algebraic expressions (i.e. with x)
4. Graph y = tan x and y= cot x with transformations by finding asymptotes, midpoints and quarter points.
5. Graph y = sec x and y = csc x with transformations by using y = cos x and y = sin x.
CHAPTER 1
Weeks of 9/20-9/24 and 9/27-10/1
1. Use the distance and midpoint formulas
2. Complete the square to write the equation of a circle and find the center and radius.
3. Find the domain (in interval notation) given an equation.
4. Find composite functions f(g(x)) and evaluate analytically, graphically, and numerically.
5. Determine whether a function has an inverse, how to find it, and when and how to restrict the domain.
Week of 9/13-9/17
1. Find the average rate of change of a function and the average velocity for a position function.
2. Know and recognize the graphs of the 7 common functions.
3. Know how to graph given an equation of a common function with transformations.
4. Know how to write an equation given the graph of a common function with transformations.
Week of 9/7-9/10
1. Evaluate the difference quotient [f(x+h)-f(x)]/h
2. Be able to find the features of a graph using correct notation: increasing, decreasing, constant, relative max/min, domain, range, intercepts, fxn values
3. Tell whether a function is even, odd, or neither and explain why.
4. Write equations of lines in point-slope, slope-intercept, and general form.
5. Find the average value of a function and average velocity.
Week of 8/31-9/3
1. Understand what it takes for group work to be effective and not distracting.
2. Beginning understanding of radians and the unit circle.
3. Know basic graphing - pts, domain, range, intercepts, equations with T tables
4. Know how to determine whether a relation is a function analytically and graphically and tell why.
5. Understand interval notation and when to use it.