, y = ex, y = ax, y = sin x, y = cos x, y
= tan x, y = csc x, y = sec x, and y = cot x).| PreCalculus H Lesson Plans | Sept 14-18 |
|
Day |
Objectives |
Procedures |
Homework |
Assessment |
|
Mon |
To graph polynomial functions. standard: PC 2.1, 2.5, 2.6, 2.7, 3.1 section 2.3 | tests will be distributed, discussed, corrected, and returned. The
teacher will provide notes and important definitions for section 2.3.
Cubic and Quartic functions will be discussed and analyzed. Zeros, multiplicity, and local extremas
will be reviewed. End behavior will be discussed and analyzed. review questions will be given to access understanding. Differientiation: discovery/inquiry, discussion, classwork practice, graphic organizer |
page 203 problems 9-12, 18-24 even, 30, 34-42 even |
Monitor Classwork Question and Answer Observation |
|
Tues |
To find the zeros of a polynomial. standard: PC 1.4, 2.4, 3.2, 3.3, 3.5, 3.6 section 2.4 | Homework will be discussed. The teacher will provide notes and important definitions for section 2.4. The teacher will demonstrate how to perform long division and synthetic division for polynomials. The remainder theorem, factor theorem, and the rational zeros theorem will be discussed. Upper and Lower bounds will be discussed. Differientiation: discovery/inquiry, discussion, classwork practice | pages 216-218 section 2.4 exercises problems 2-14 even, 20, 28, 30, 34, 38, 42, 50 |
Monitor Classwork Question and Answer Observation |
|
Wed |
To perform operations with complex numbers standard: PC 2.4, 3.3, 3.6, 3.7 section: 2.5 | warm up - writing to learn: Discuss how two functions are related. Homework will be discussed. notes quiz The teacher will demonstrate how to perform operations with complex numbers. Conjugates will be discussed | page 227 problems 2-20 even, 26, 30-36 even |
Monitor Classwork Question and Answer Observation |
|
Thurs |
To write polynomial equations. standard: PC 1.1, 1.5, 1.7, 2.4, 2.7, 3.3, 3.5, 3.6, 3.7 section: 2.6 | quiz 2.3-2.5 The teacher will demonstrate how to write polynomial functions in standard form given equations in factored form and given zeros of the function. Complex solutions will be discussed and analyzed from given polynomials. Examples and practice will be given Differientiation: discussion, classwork practice |
pages 234-235 section 2.6 exercises problems 2-20 even |
Monitor Classwork Question and Answer Observation |
|
Fri |
To write polynomial equations. standard: PC 1.1, 1.5, 1.7, 2.4, 2.7, 3.3, 3.5, 3.6, 3.7 section: 2.6 | quizzes will be distributed, discussed, corrected PreCalc Activty Week 15 - Back to roots The teacher will demonstrate how to factor polynomial functions using the linear factorization theorem. Examples and practice will be given. review questions will be given to access understanding. |
. . |
Monitor Classwork Question and Answer Observation |
| Materials used daily: Smart Board/LCD projector, Chalk Board, Textbook/workbook, graphing calculators, Wireless Slate, TI-Nspire and SmartView software |
This page was last updated on Sunday September 13, 2009
Standard PC-1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation.
Indicators
PC-1.1 Communicate knowledge of algebraic and trigonometric relationships by using mathematical terminology appropriately.
PC-1.2 Connect algebra and trigonometry with other branches of mathematics.
PC-1.3 Apply algebraic methods to solve problems in real-world contexts.
PC-1.4 Judge the reasonableness of mathematical solutions.
PC-1.5 Demonstrate an understanding of algebraic and trigonometric relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic).
PC-1.6 Understand how algebraic and trigonometric relationships can be represented in concrete models, pictorial models, and diagrams.
PC-1.7 Understand how to represent algebraic and trigonometric relationships by using tools such as handheld computing devices, spreadsheets, and computer algebra systems (CASs).
Standard PC-2: The student will demonstrate through the mathematical processes an understanding of the characteristics and behaviors of functions and the effect of operations on functions.
Indicators
PC-2.1 Carry out a procedure to graph parent
functions (including y = xn, y = loga x, y
= ln x, y = , y = ex, y = ax, y = sin x, y = cos x, y
= tan x, y = csc x, y = sec x, and y = cot x).
PC-2.2 Carry out a procedure to graph
transformations (including –f(x), a •
f(x), f(x) + d,
f(x - c), f(-x), f(b • x), |f(x)|, and f(|x|)) of parent functions and combinations of transformations.
PC-2.3 Analyze a graph to describe the
transformation (including –f(x), a •
f(x), f(x) + d,
f(x - c), f(-x), f(b • x), |f(x)|, and f(|x|)) of parent functions.
PC-2.4 Carry out procedures to algebraically
solve equations involving parent functions or transformations of parent
functions (including y = xn, y = loga x, y = ln x, y = ,
y = ex, y = ax, y = sin x, y = cos x, y = tan x, y = csc x, y = sec x, and y = cot x).
PC-2.5 Analyze graphs, tables, and equations to
determine the domain and range of parent functions or transformations of parent
functions (including y = xn, y = loga x, y = ln x, y = , y = ex, y = ax, y = sin x, y = cos x, y
= tan x, y = csc x, y = sec x, and y = cot x).
PC-2.6 Analyze a function or the symmetry of its graph to determine whether the function is even, odd, or neither.
PC-2.7 Recognize and use connections among significant points of a function (including roots, maximum points, and minimum points), the graph of a function, and the algebraic representation of a function.
PC-2.8 Carry out a procedure to determine whether the inverse of a function exists.
PC-2.9 Carry out a procedure to write a rule for the inverse of a function, if it exists.
Standard PC-3: The student will demonstrate through the mathematical processes an understanding of the behaviors of polynomial and rational functions.
Indicators
PC-3.1 Carry out a procedure to graph quadratic and higher-order polynomial functions by analyzing intercepts and end behavior.
PC-3.2 Apply the rational root theorem to determine a set of possible rational roots of a polynomial equation.
PC-3.3 Carry out a procedure to calculate the zeros of polynomial functions when given a set of possible zeros.
PC-3.4 Carry out procedures to determine characteristics of rational functions (including domain, range, intercepts, asymptotes, and discontinuities).
PC-3.5 Analyze given information to write a polynomial function that models a given problem situation.
PC-3.6 Carry out a procedure to solve polynomial equations algebraically.
PC-3.7 Carry out a procedure to solve polynomial equations graphically.
PC-3.8 Carry out a procedure to solve rational equations algebraically.
PC-3.9 Carry out a procedure to solve rational equations graphically.
PC-3.10 Carry out a procedure to solve polynomial inequalities algebraically.
PC-3.11 Carry out a procedure to solve polynomial inequalities graphically.
Standard PC-4: The student will demonstrate through the mathematical processes an understanding of the behaviors of exponential and logarithmic functions.
Indicators
PC-4.1 Carry out a procedure to graph exponential functions by analyzing intercepts and end behavior.
PC-4.2 Carry out a procedure to graph logarithmic functions by analyzing intercepts and end behavior.
PC-4.3 Carry out procedures to determine characteristics of exponential functions (including domain, range, intercepts, and asymptotes).
PC-4.4 Carry out procedures to determine characteristics of logarithmic functions (including domain, range, intercepts, and asymptotes).
PC-4.5 Apply the laws of exponents to solve problems involving rational exponents.
PC-4.6 Analyze given information to write an exponential function that models a given problem situation.
PC-4.7 Apply the laws of logarithms to solve problems.
PC-4.8 Carry out a procedure to solve exponential equations algebraically.
PC-4.9 Carry out a procedure to solve exponential equations graphically.
PC-4.10 Carry out a procedure to solve logarithmic equations algebraically.
PC-4.11 Carry out a procedure to solve logarithmic equations graphically.