, 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 21-25 |
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Day |
Objectives |
Procedures |
Homework |
Assessment |
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Mon |
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 | complete the calculator activity from Friday: PreCalc Activty Week 15 - Back to roots homework will be discussed: pages 234-235 section 2.6 exercises problems 2-20 even The teacher will complete lesson 2.6: upper bounds theorem, linear factorization Differentiation: discovery/inquiry, discussion, classwork practice, nspire document |
page 235 problems 34, 36, 45-48 writing |
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Tues |
To graph rational functions. standard: PC 1.6, 2.1, 2.2, 2.5, 2.6, 2.7, 3.4 section 2.7 | Homework will be discussed. quiz 2.5-2.6 The teacher will provide notes and important definitions for section 2.7. The teacher will demonstrate how to graph rational functions using vertical and horizontal asymptotes. The domain and range of rational functions will be discussed. Differentiation: discovery/inquiry, discussion, classwork practice, quiz | page 246 section 2.7 exercises problems 2, 4, 20, 22, 24, 26, 28 |
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Wed |
To graph rational functions. standard: PC 1.6, 2.1, 2.2, 2.5, 2.6, 2.7, 3.4 section 2.7 | quizzes will be distributed, discussed, corrected Homework will be discussed. The teacher will provide notes and demonstrations for finding limits and finding oblique asymptotes for rational functions. Points of discontinuity will be discussed in detail. group exploration: textbook pages 247-248 problems 69-70 Differentiation: discovery/inquiry, discussion, classwork practice, group work | pages 246-247 problems 12-18 even, 30, 32-36 even, 66-67 |
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Thurs |
To solve rational equations. standard: PC 1.4. 2.4, 3.8, 3.9 section: 2.8 | notes quiz Homework will be discussed. The teacher will demonstrate how to solve rational equations. Examples and practice will be given Differentiation: discussion, classwork practice |
pages 254-256 section 2.8 exercises problems 2-18 even |
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Fri |
To solve inequalities standard: PC 2.4, 3.8, 3.9, 3.10, 3.11 section: 2.9 | warm up page 255 problems 23-29 odd Homework will be discussed. The teacher will demonstrate how to solve rational equations. Examples and practice will be given Differentiation: discussion, classwork practice |
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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 20, 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.