WELCOMETO MR. REID’S PRE-CALCULUS CLASS; [AUGUST 24, 2015:- DAY 1]

WELCOME TO MR. REID’S

PRE-CALCULUS CLASS; [AUGUST 24, 2015:- DAY 1]

AGENDA: PRECALCULUS HONORS.MON. DAY 1; 08/24/15

• Basics of Functions and Their Graphs; Textbook: Blitzer Pre-Calculus; Pg. 147-163

• OBJECTIVE: DISCUSS OPENING OF SCHOOL PROCEDURE.

• ACTIVITIES: (1) DISTRIBUTE OPENING OF SCHOOL MATERIALS.

• (2) Notes on basic functions and their graphs. • HOME LEARNING: CHECK THE KILLIAN WEBSITE

FOR INFORMATION ABOUT THIS CLASS.

AGENDA: PRE-CALCULUS HONORS.TUE. DAY 2; 08/25/15

• Basics of Functions and Their Graphs; Pg. 147-163• LEARNING OBJECTIVES: . Find the domain and

range of a relation. Determine whether a relation is a function. Determine whether an equation represents a function. Evaluate a function.

• ACTIVITIES: Power Point presentation on “Basic functions and their graphs”.

• C/W Pg. 159 #6 – 26 (even)• HOME LEARNING: Pg. 159 #27 – 33

AGENDA: PRE-CALCULUS HONORS.WED. DAY 03; 08/26/15

• Basics of Functions and Their Graphs; Pg. 147-163• MAFS.912.F-IF.1.2 • LEARNING OBJECTIVES: Graph functions by plotting points.

Use the vertical line test to identify functions. Obtain information about a function from its graph. Identify the domain and the range of a function from its graph.

• Identify the intercepts from a function’s graph.• ACTIVITIES: Pg. 159 #6 – 26 (EVEN) • C/W Pg. 160 # 34 – 38 (ALL), • • HOME LEARNING: Pg. 160; #40 – 50 (EVEN).

AGENDA: PRECALCULUS HONORS.THUR. DAY 04; 08/27/15

• Basics of Functions and Their Graphs; Pg. 147-163; MACC.912.F-IF.2.5

• LEARNING OBJECTIVES: Graph functions by plotting points. Identify the function’s domain, range, the x-and y-intercepts of a function from its graph.

• ACTIVITIES: Collect Pg. 159 #6 – 26 (even) & 34 – 38 (all);• Discuss Pg. 160 #40 – 50 (even).• C/W: Pg. 160 # 51 – 70 (all).• HOME LEARNING: Complete class work if not completed

in class.

AGENDA: PRECALCULUS HONORS.FRI. DAY 5; 08/28/15

• JOURNAL WRITING: • LEARNING OBJECTIVES: Write definitions of

Functions, Relations, & Function Graphs. Describe an everyday situation between variables that is a function. MAFS.912.F-BF.2.3

• ACTIVITIES: Pg. 163; Select a test item between # 109 – 116 and write your journal on the given topic.

• HOME LEARNING: Complete class work if not completed in class.

AGENDA: PRECALCULUS HONORS.MON.; DAY 6; 08/31/15

• MORE FUNCTIONS & THEIR GRAPHS: PG. 164 – 177.

• LEARNING OBJECTIVES: Identify intervals on which a function increases, decreases, or is constant. MAFS.K12.MP.4: Determine whether the function is EVEN, ODD or NEITHER

• ACTIVITIES: Model examples for locating intervals for increasing and decreasing functions, Also, notes on EVEN, ODD, and ODD functions.

• Pg. 173; #1 – 16 (all). • Worksheet on Basic Functions and their Graphs.• HOME LEARNING: Review worksheet for homework. QUIZ ON

TUESDAY; 9/01/15; [BASIC FUNCTIONS & THEIR GRAPHS]

AGENDA: PRECALCULUS HONORS.TUE.; DAY 7; 09/01/15

• MORE FUNCTIONS & THEIR GRAPHS: PG. 164 – 177.– QUIZ ON BASIC OF FUNCTIONS AND THEIR GRAPHS.

• LEARNING OBJECTIVES: Graph functions by plotting points. Use the vertical line test to identify functions. Obtain information about a function from its graph. Identify the domain and the range of a function from its graph. Identify the intercepts from a function’s graph.

• ACTIVITIES: QUIZ #1.• Classwork: Pg. 173 #17 – 28 (all)• HOME LEARNING: Complete class work if not

completed in class.

AGENDA: PRE-CALCULUS HONORS.[WED; DAY 8; 09/02/15

. Simplify.


• LEARNING OBJECTIVES: Identify even or odd functions and recognize their symmetries, domain, range, increasing, and decreasing intervals. MACC.912.F-IF.2.5

• ACTIVITIES: Discuss: Pg. 173; # 17- 28 (ALL)• Classwork; Pg. 173# 29 – 36 (ALL)• HOME LEARNING: Complete class work if not

completed in class.

AGENDA: PRE-CALCULUS HONOR S.[THUR.; DAY 9; 09/03/15


• LEARNING OBJECTIVES: Evaluate piecewise functions. Use a graph to determine the function’s range, domain, x-intercept, y-intercept, etc.

• ACTIVITIES: Notes on piecewise functions. • Class work: Pg. 175; # 38- 54(Even).• HOME LEARNING: Complete class work if not

completed in class.

AGENDA: PRE-CALCULUS HONORS.FRI.; DAY 10; 09/04/15


• LEARNING OBJECTIVES: Evaluate piecewise functions. Find and simplify the difference quotient.

• ACTIVITIES: Collect; Pg. 175; # 38 – 54(even).• Classwork: Pg. 175; # 56 – 76 (even)• HOME LEARNING: Complete class work if not

completed in class.

MONDAY: SEPTEMBER 07, 2015.

• LABOR DAY; NO SCHOOL


• FUNCTIONS AND DIFFERENCE QUOTIENTS: PG. 171 – 177.

• LEARNING OBJECTIVES: Find and simplify the difference quotient.

• MAFS.K12.MP.7: Look for and make use of structure.

• ACTIVITIES: Complete: Pg. 175; # 56 – 76 (even), and # 77- 90 (all)

• HOME LEARNING: Review for test on Thursday. (SEE REVIEW PACKET ONLINE)

Find where the graph is increasing? Where is it decreasing? Where is it constant?

• Where are the relative minimums? Where are the relative maximums?


• FUNCTIONS AND DIFFERENCE QUOTIENTS: PG. 171 – 177.

• LEARNING OBJECTIVES: Find and simplify the difference quotient.

• MAFS.K12.MP.7: Look for and make use of structure.

• ACTIVITIES: Discuss: Pg. 175; 77 – 90 (ALL).• C/W: PG. 270-271 # 15 - 44• TEST ON THURSDAY: (CHAPTER 1: SECTIONS 1.2-1.3)• HOME LEARNING: TEST ON THURSDAY (9/10/15).

AGENDA: PRE-CALCULUS HONORS.THUR. DAY 13; 09/10/15

• FUNCTIONS & THEIR GRAPH; FUNCTIONS AND DIFFERENCE QUOTIENTS; PIECEWISE FUNCTIONS.

• LEARNING OBJECTIVES: MAFS.912.F-IF.1.2 Find and simplify the difference quotient. Evaluate piecewise functions. MAFS.K12.MP.7 Use a graph to determine the function’s range, domain, x-intercept, y-intercept, etc.

• ACTIVITIES: TEST #1• HOME LEARNING: Pg. 177; # 91 – 99 (all);

AGENDA: PRE-CALCULUS HONORS.FRI. DAY 14; 09/11/15

• LINEAR FUNCTIONS AND SLOPE: Pg 179-192;• LEARNING OBJECTIVES: Calculate a Line’s Slope • Write and Graph Linear Equations • MAFS.K12.MP.1; : Make sense of problems and

persevere in solving them. • ACTIVITIES: Notes on Linear Functions and Slope:

Classwork: Pg. 188-189; #10, 14, 20, 24, 28, 30, 35, 36,37,38 .

• HOME LEARNING: Pg. 189 # 41 – 48 (all); Use Graph Paper.

AGENDA: PRE-CALCULUS HONORS.MON. 09/14/15

• TEACHING PLANNING DAY


• LINEAR FUNCTIONS AND SLOPE: Pg 179-192;• LEARNING OBJECTIVES: Calculate a Line’s Slope • Write and Graph Linear Equations • MAFS.K12.MP.1; : Make sense of problems and

persevere in solving them. • ACTIVITIES: Pg. 189 # 50 – 72(even) Use graph

paper for every item. NO GRAPH PAPER!! NO CREDIT!!!

• HOME LEARNING: Pg. 189. # 73 – 84(ALL).


• LEARNING OBJECTIVES: Write equations in slope-intercept form & Point-slope form.

• Finding the average Rate of Change, Average Velocity of an object. MAFS .912.F-IF.1.2 MAFS .912.F-IF.2.4

• ACTIVITIES: Notes on perpendicular, parallel, average rate of change, and average velocity.

• Pg. 200 # 6, 8, 11, 14, 16, 18, 19, 20.• HOME LEARNING:Pg. 203 # 9 – 24 (all), & #36-37.

Review for Test on Tuesday (9/22/15).


• TRANSFORMATIONS OF FUNCTIONS; Pg. 205-221 • LEARNING OBJECTIVES: MAFS .912.F-IF.2.4

MAFS .912.F-IF.2.5; Using Horizontal & Vertical shifts to graph functions. Use reflections to graph functions.

• ACTIVITIES: Model examples of transformations of functions.

• C/W: Pg. 216, #18 – 44 (even); Use GRAPH PAPER.• HOME LEARNING: Pg. 216 # 45 – 52(ALL). Use

GRAPH PAPER.

PRACTICE GRAPHING TRANSFORMATION OF A CONSTANT FUNCTION

• Graph the function y = 2. • Locate the points • (-2, 2); (0, 2); (2, 2);• then graph each function• of g on Pg. 216 # 1-8.

• (1) g(x) = f(x) +1• (2) g(x) = f(x) – 1• (3) g(x) = f(x + 1)• (4) g(x) = f(x - 1)• (5) g(x) = f(x – 1) -2• (6) g(x) = f(-x)

x

y


• TRANSFORMATIONS OF FUNCTIONS; Pg. 205-221 • LEARNING OBJECTIVES: MAFS .912.F-IF.2.4

MAFS .912.F-IF.2.5; Graphing square root functions. Use Transformations to graph given functions.

• ACTIVITIES: Discuss Pg. 216, #18 – 44 (even), & Pg. 216 #45 - 52(ALL).

• Classwork: Pg. 216 # 54 - 80 (even).• HOME LEARNING: REVIEW FOR TEST ON TUESDAY:

PG. 271, #45 -63 (ALL).

AGENDA: PRE-CALCULUS HONORS.MON. DAY 19; 09/21/15

• TRANSFORMATIONS OF FUNCTIONS; Pg. 205-221 & Review for Test.• LEARNING OBJECTIVES: MAFS .912.F-IF.2.4 MAFS .912.F-

IF.2.5; Graphing square root functions. Use reflections to graph functions. Use Transformations to graph given functions.

• ACTIVITIES: Discuss: Pg. 216 # 54 - 80 (even).& PG. 271, #45 -63 (ALL).

• C/W: Pg. 273 # 64, 67, 70, 74, 77, 84.• HOME LEARNING: PG: 275 # 1 – 10 (ALL)• Go over your notes from sections 1.4 – 1.6; Remember test

is on Tuesday. See Killian website for review packet.


• CHAPTER 1: SECTIONS 1.2 – 1.5 TEST• LEARNING OBJECTIVES: Use a graph to determine the

function’s range, domain, x-intercept, y-intercept. Calculate a Line’s Slope. Graphing square root functions. Use reflections to graph functions. Use Transformations to graph given functions.

• Write and Graph Linear Equations • ACTIVITIES: Test Chapter 1.4-1.6;• HOME LEARNING: Journal writing; Pg. 202 #33 – 36. Give

examples for each test item. If you have completed your test, begin your journal.

AGENDA: PRE-CALCULUS HONORS.WED.; 09/23/15

• TEACHER PLANNING DAY; STUDENTS NOT IN SCHOOL.


• LEARNING OBJECTIVES: . Find the domain of a function. Combine functions using the algebra of functions, specifying domains.

• ACTIVITIES: Distribute worksheet on transformation.• Power point presentation on domain of a function. • **Find domains of functions by recognizing categories of

functions.• Category Domain• polynomial all real numbers {−∞, ∞}• Rational set denominator ≠ 0• radical set expression under the radical ≥ 0• HOME LEARNING: Collect Review Packet.• ; Pg. 229 # 2 – 30 (EVEN)


• LEARNING OBJECTIVES: Find the domain of a function. Combine functions using the algebra of functions, specifying domains.

• ACTIVITIES: Power point presentation on domain of a function.

• C/W; Pg. 230 # 32,36, 40, 44, 48, 52, 58, 62.• HOME LEARNING:


• LEARNING OBJECTIVES: MAFS.912.F-IF.2.5Form composite functions. Determine domains for composite functions. Write functions as compositions.

• ACTIVITIES: Discuss Pg. 230 # 32,36, 40, 44, 48, 52, 58, 62.

• C/W: Pg. 230 #66 – 80 (even); • HOME LEARNING: Pg. 231, #101 - 105 (all).

)(1 xf


• LEARNING OBJECTIVES: MAFS.912.F.BF.2.4. Find the inverse of a function. Use the horizontal line test to determine if the function has an inverse function.

• ACTIVITIES: Discuss Pg. 230 #66 – 80 (even) • Classwork: Pg. 240 # 2 – 28.(EVEN)• HOME LEARNING: pg. 241 #29 – 38 (all)• OPEN HOUSE WED. 9/30/15.

INVERSE OF A FUNCTION


• OPEN HOUSE TODAY!!!!• LEARNING OBJECTIVES: MAFS.912.F.BF.2.4. Verify

inverse functions. Use inverse notation to give the domain and range of f and .

• ACTIVITIES: Discuss: Pg. 240 # 2 – 28.(EVEN), & 29-38 (all).

• C/w; Pg. 241 # 39 – 48 (all) EX. #42: The domain of the f(x) function is = to the range of .

• The range is = to the domain of the . • HOME LEARNING:

)(1 xf

)(1 xf

)(1 xf


• DISTANCE & MIDPOINT FORMULAS; CIRCLES: PG. 244 - 252 . • LEARNING OBJECTIVES: Find the distance between

two points. Find the midpoint of a line segment. Write the standard form of a circle’s equation.

• Give the center and radius of a circle whose equation is in standard form.

• ACTIVITIES: Power Point presentation on distance, mid-point formulas, and equation of circle.

• Classwork; Pg. 250 # 7, 10, 14, 16, 26, 28, 33, 34, 40.• HOME LEARNING:


• LEARNING OBJECTIVES: Find the midpoint, of a line segment, write the standard form of a circle, converting the General Form of a Circle’s Equation to Standard Form.

• ACTIVITIES: Pg. 250 #42 – 64 (Even)• HOME LEARNING:


• ODD DAY• LEARNING OBJECTIVES: Construct functions from

verbal descriptions. Construct functions from formulas

• ACTIVITIES: Notes on modeling functions.• Classwork: Pg. 261 #1 – 6 (all), 9, 11, 15, 19.• HOME LEARNING: Review for chapter test. Ch. 1.

Sections 1.2 – 1.10. Pg. 273, Lesson 1.7 – 1.10.#s; 88, 89, 93, 94, 96, 98, 100, 102, 108, 118, 121, 124.


• EVEN DAY• LEARNING OBJECTIVES: Construct functions from verbal

descriptions. Construct functions from formulas • ACTIVITIES: Collect Pg. 250 # 42 – 64 (even)• Notes on modeling functions.• Classwork: Pg. 261 #1 – 6 (all), 9, 11, 15, 19.• Pg. 273, Lesson 1.7 – 1.10.#s; 88, 89, 93, 94, 96, 98, 100, 102,

108, 118, 121, 124.

• HOME LEARNING: Review for chapter test. Ch. 1. Sections 1.2 – 1.10.


• CHAPTER 1 REVIEW;• OBJECTIVES: Review for chapter test on

Tuesday. Recall and apply formulas to solve problems. Construct functions from formulas.

• ACTIVITIES: Lessons 1.2 – 1.10.#s; • Pg. 275. # 2- 38 (EVEN)• HOME LEARNING:


• EARLY RELEASE DAY• COMPLEX NUMBERS; PG. 278 - 285• LEARNING OBJECTIVES: Add, subtract,

multiply, and divide complex numbers. • ACTIVITIES: Notes on complex numbers.• C/W: Pg.284 #6, 8, 12, 15, 18, 20, 22, 23, 26,

28• HOME LEARNING:


• COMPLEX NUMBERS; PG. 278 - 285• LEARNING OBJECTIVES: Add, subtract,

multiply and divide complex numbers.• ACTIVITIES: COLLECT 10/08/15 WORK.• Classwork; Pg. 284 # 30 - 60 (even) • HOME LEARNING:


• COMPLEX NUMBERS; PG. 278 - 285• LEARNING OBJECTIVES: Solve quadratic

equations with complex imaginary• solutions.• ACTIVITIES: Discuss Pg. 284 # 30 – 60. (even) • C/W: Review sheet for test on Tuesday. Chapter

1.2 – 1.10.• HOME LEARNING: Practice for your Chapter 1.2

– 1.10 TEST tomorrow (10/13/15)


• CHAPTER 1.2 – 1.10 TEST• LEARNING OBJECTIVES: MAFS .912.F-IF.2.4

MAFS .912.F-IF.2.5; Graphing square root functions. Use Transformations to graph given functions. Construct functions from formulas. Find the inverse of a function. Use the horizontal line test to determine if the function has an inverse function

• ACTIVITIES: CHAPTER 1.2 – 1.10 TEST• HOME LEARNING:


• QUADRATIC FUNCTIONS; PG. 286 - 301• LEARNING OBJECTIVES: Recognize

characteristics of parabolas. Graph parabolas.• Determine a quadratic function’s minimum or

maximum value.• ACTIVITIES: C/W: Pg. 298 # 1 – 8(all), & 10 – 28

(EVEN).• HOME LEARNING: Complete c/w for H/L if not

completed in class


• QUADRATIC FUNCTIONS; PG. 286 - 301• LEARNING OBJECTIVES: Find maximum,

minimum value. Identify function’s domain.• ACTIVITIES: Review maximum and minimum

value and function’s domain. • Pg. 298 # 40 – 56 (EVEN) • HOME LEARNING: Pg. 299 # 57 – 59 (all), & 65

– 70 (ALL).


• Polynomial Functions & Their Graphs; PG. 302 - 315• LEARNING OBJECTIVES: Identify polynomial

functions. Recognize characteristics of graphs of polynomial functions. Determine end behavior.

• Use factoring to find zeros of polynomial functions.• ACTIVITIES: Power point presentation on Polynomial

Functions & their graphs.• Pg. 312 # 2 – 32 (even).• HOME LEARNING: Complete c/w for H/L if not

completed in class.


• . (TEST ON THURSDAY:- 10/22/15) TEST CH. 2.1 – 2.3.

• Polynomial Functions & Their Graphs; PG. 303 - 315

• LEARNING OBJECTIVES: Recognize characteristics of graphs of polynomial functions. Determine end behavior.

• Use factoring to find zeros of polynomial functions. Identify zeros and their multiplicities. Use the Intermediate Value Theorem. Understand the relationship between degree and turning points.

• ACTIVITIES: Discuss Pg. 312 # 2 – 32 (Even)• C/W: PG. 312. # 34 – 46 (EVEN) • HOME LEARNING:


• LEARNING OBJECTIVES: Identify Polynomial functions, determine end behavior.

• ACTIVITIES: Discuss Pg. 312 #34 - 46 (even).• C/W: Pg. 313 # 48 – 64 (Even).• HOME LEARNING: Pg. 315 # 100 – 107 (all).• Pg. 381 # 2, 4, 7, 10, 14, 17, 19, 20, 21, 24 – 27,

29, [34- 36(EVEN)]• TEST ON THURSDAY 10/22/15: CHAPTER 2;

SECTIONS 2.1 – 2.3.


• DIVIDING POLYNOMIALS; REMAINDER AND THEOREMS; PG. 316 - 327

• LEARNING OBJECTIVES: Use long division to divide polynomials. Use synthetic division to divide polynomials.

• ACTIVITIES: C/W: Pg. 324 #2 – 16 (even).• Pg. 381 # 2, 4, 7, 10, 14, 17, 19, 20, 21, 24 – 27,

29, [34- 36(EVEN)]• HOME LEARNING: Review for:(TEST ON

THURSDAY:- 10/22/15) TEST CH. 2.1, 2.2, & 2.3.


• (TEST TODAY: CH. 2.1, 2.2, & 2.3.• LEARNING OBJECTIVES: Solve quadratic

equations with complex imaginary• solutions. Recognize characteristics of graphs

of polynomial functions. • ACTIVITIES: • HOME LEARNING: Register with

KHANACADEMY.COM



• LEARNING OBJECTIVES: SWBAT: Know and apply the Remainder Theorem. For a polynomial p(x) and a number a, the remainder on division by x-a is p(a), so p(a) = 0 if and only if (x-a) is a factor of p(x).

• ACTIVITIES: Collect Pg. 324 # 10 -32 (even).• Classwork: Pg. 324 # 34 -46 even).• HOME LEARNING: Complete Khan academy

activity on imaginary & complex numbers.



• LEARNING OBJECTIVES: SWBAT: Use synthetic division to find the solutions for Polynomial functions.

• ACTIVITIES: Collect worksheet from Friday’s work.

• Classwork: Pg. 324 # 34 -46 even).• HOME LEARNING: Pg.325 # 51 – 54 (all)


• ZEROS OF POLYNOMIAL FUNCTIONS; PG. 326 - 339

• LEARNING OBJECTIVES: SWBAT: Use the Rational Zero Theorem to find possible rational roots. Find zeros of a polynomial function.

• ACTIVITIES: Notes of finding rational zeros.• C/W Pg. 336 # 10 - 24 (even).• HOME LEARNING: Complete C/W for H/L if

not completed in class.



• LEARNING OBJECTIVES: SWBAT: Use the Linear Factorization Theorem to find polynomials with given zeros. Use Descartes’ Rule of Signs.

• ACTIVITIES: Discuss Pg. 336 #10 – 24 (even)• C/W Pg. 336 # 26 – 32,(Even) & 33 -38(all).• HOME LEARNING: Complete C/W for H/L if




• LEARNING OBJECTIVES: SWBAT: Use the Linear Factorization Theorem to find polynomials with given zeros. Use Descartes’ Rule of Signs.

• ACTIVITIES: Discuss Pg. 336 #26 – 32(even), & 33-38 (all).

• C/W Pg. 336 # 40 - 52 (even).• HOME LEARNING: Pg. 339 # 8, 11, 14, 20; 22;

23; 27; 29; 33.


• RATIONAL FUNCTIONS AND THEIR GRAPHS; PG. 340 - 357

• LEARNING OBJECTIVES: SWBAT: Find the domains of Rational Functions. Use the arrow notation; identify vertical and horizontal asymptotes.

• ACTIVITIES: Discuss Pg. 336 #40 – 52 (even)• C/W Pg. 355 # 22 - 48 (even).• HOME LEARNING: Complete C/W for H/L if


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WELCOMETO MR. REID’S PRE-CALCULUS CLASS; [AUGUST 24, 2015:- DAY 1]