perrylocal.orgperrylocal.org/meinkea/files/2011/10/Honors-Precalculus... · Web viewObjectives:Students will be able to use numerical, algebraic and graphical models to solve problems

Honors PrecalculusSchool Year Calendar 2016-2017

August 22 August 23 August 24 August 25 August 26First Day for Students

-Intro to Course-Book distribution

-SLO PreAssessment

1.1 Modeling and Equation Solving

Scavenger Hunt

Objectives:Students will be able to use

numerical, algebraic and graphical models to solve

problems and will be able to translate from one model to

another.

1.1 Modeling and Equation Solving

Objectives:Students will be able to use

numerical, algebraic and graphical models to solve

problems and will be able to translate from one model to

another.

Finish 1.1

1.2 Functions and Their Properties

Objectives:Students will be able to

represent functions numerically, algebraically, and graphically, determine the domain and range for

functions, and analyze function characteristics such as symmetry, extreme values

and end behavior.

Continue 1.2 Functions and Their Properties

1.2 Group Activity - WS


represent functions numerically, algebraically, and graphically, determine the domain and range for

functions, and analyze function characteristics such as symmetry, extreme values

and end behavior.

August 29 August 30 August 31 September 1 September 2Finish 1.2 and

Group Activity WS1.3 Twelve Basic Functions

Students will be in ability-based groups to complete

one of the twelve basic functions. Students will

make a foldable bound book of the twelve basic

functions. (Materials: Paper, scissors,

glue sticks, markers, colored pencils)


recognize graphs of twelve basic functions, determine

domains of functions related to the twelve basic functions and combine the twelve basic functions in various ways to

create new functions.

1.3 Twelve Basic Functions

Continue with the assignment from yesterday.

When finished, complete additional examples together as a class.


recognize graphs of twelve basic functions, determine

domains of functions related to the twelve basic functions and combine the twelve basic functions in various ways to

create new functions.

Review

Whiteboard Review – Piecewise Functions

Review Basic Functions Matching Quiz

Review

September 5 September 6 September 7 September 8 September 9Labor Day -No School

Review Day

SUB

1.1-1.3 Test 1.4 Building Functions from Functions

ICE

Objectives:Students will be able to build

new functions from basic functions by adding,

subtracting, multiplying, dividing and composing

functions.

1.5 Parametric Relations and Inverses


define relations and functions parametrically and will be

able to find inverses of relations and functions.

September 12 September 13 September 14 September 15 September 161.6 Graphical

Transformations

Transformation WS


algebraically and graphically represent translations,

reflections, stretches and shrinks of functions and

parametric relations.

1.7 Modeling with Functions


identify appropriate basic functions with which to

model real-world problems and be able to produce

specific functions to model data, formulas, graphs and

verbal descriptions.

1.7 Modeling with Functions


identify appropriate basic functions with which to

model real-world problems and be able to produce

specific functions to model data, formulas, graphs and

verbal descriptions.

Review Professional Development Day

No School

September 19 September 20 September 21 September 22 September 23Review 1.4-1.7 Test 2.1 Linear and Quadratic

Functions and Modeling

-SmartBoard-based lesson


recognize and graph linear and quadratic functions,

and use these functions to model situations and solve

problems.

2.2 Power Functions with Modeling


Objectives:Students will be able to sketch power functions.

2.3 Polynomial Functions of Higher Degree with

Modeling



graph polynomial functions, predict their end behavior, and find their real

zeros using a grapher or algebraic method.

September 26 September 27 September 28 September 29 September 302.1-2.2 Quick Review on

White Boards

2.3 WS

Review

Review2.1-2.3 Test

2.4 Real Zeros of Polynomial Functions

-SmartBoard lessonICE

Objectives:Students will be able to divide polynomials using long division or synthetic

division; to apply the Remainder Theorem, Factor Theorem, and

Rational Zeros Theorem; and find their upper and

lower bounds for zeros of polynomials.

2.5 Complex Zeros and the Fundamental

Theorem of Algebra

-SmartBoard-based lesson.


factor polynomials with real coefficients using factors with complex coefficients.

October 3 October 4 October 5 October 6 October 7Review on whiteboards 2.4-2.5 Quiz 2.6 Graphs of Rational

Functions

SmartBoard Lesson2.6 Partner ICE

Objectives:Students will be able to describe the graphs of

rational functions, identify horizontal and vertical

asymptotes and predict the end behavior of rational

functions.

2.6 Graphs of Rational Functions

SmartBoard Lesson

Objectives:Students will be able to describe the graphs of

rational functions, identify horizontal and vertical

asymptotes and predict the end behavior of rational

functions.

2.7 Solving Equations in One Variable

SmartBoard Lesson2.7 WS


solve equations involving fractions using both

algebraic and graphical techniques and identify extraneous solutions.

October 10 October 11 October 12 October 13 October 14Parent-Teacher

Conferences8 a.m. – 3 p.m.

No School

2.8 Solving Inequalities in One Variable

SmartBoard Lesson


solve inequalities involving polynomials and rational functions by using both algebraic and graphical

techniques.

Review

Review IVT & Descartes Rule of Signs

Review

Parent-Teacher Conferences

5 – 8 p.m.

Ch 2 Test

(SUB)

October 17 October 18 October 19 October 20 October 21ACT Review

SUB

Ch 1-2 Cumulative Partner Test

PSAT (mods 1-8)

Review ActivityKahoot/Work Day

3.1 Exponential Functions

SmartBoard Lesson

Objectives:Students will be able to evaluate exponential

expressions and identify and graph exponential

functions.

3.2 Exponential Modeling

SmartBoard Lesson (20 min)

M&M Activity (40 min) to model exponential growth

and decay.

HW: Book work

Objectives:-Students will be able to use exponential growth, decay and regression to model real-life problems.

October 24 October 25 October 26 October 27 October 283.3 Logarithmic

Functions and Their Graphs

Smartboard Lesson

Objectives:-Students will be able to

convert equations between logarithmic and

exponential form, evaluate common and natural

logarithms, and graph common and natural

logarithms.

3.4 Properties of Logarithmic Functions

Smartboard Lesson & Kahoot (Log/Exp Review)

Objectives:-Students will be able to apply the properties of logarithms to evaluate expressions and graph

functions, and be able to reexpress data.

Review 3.4 -LOG SPEED DATING

3.4 Quiz

3.5 Equation Modeling and Solving

SmartBoard Lesson

Objectives:-Students will be able to apply the properties of

logarithms to solve exponential and

logarithmic equations algebraically and solve

application problems using these equations.

End of 1st Nine Weeks

Teacher Exchange Day -

No School

October 31 November 1 November 2 November 3 November 4LOG BINGO

3.6 Mathematics of Finance

SmartBoard Lesson

Objectives:-Students will be able to

use exponential functions and equations to solve business and finance

3.5 Quiz

Review

Review Ch 3 Test Ch 1-3 Comprehensive Partner Test

applications related to compound interest and

November 7 November 8 November 9 November 10 November 114.1 Angles and Their

Measures

SmartBoard Lesson


convert between radians and degrees, find arc

lengths, convert to nautical miles, and solve problems involving angular speed.

4.2 Trigonometric Functions and Acute

Angles


define the six trig functions using the lengths of the sides of a right triangle.

4.3 Trig Extended: The Circular Functions

SmartBoard Lesson

4.2 Review WS


solve problems involving the trigonometric functions

of real numbers and the properties of the sine and cosine periodic functions.

4.2 Quiz (1 mod)

Trig Puzzle


define the six trig functions using the lengths of the sides of a right triangle.

4.1-4.3 Review

Veteran’s Day Assembly11 a.m.

November 14 November 15 November 16 November 17 November 184.1-4.3 Review 4.1-4.3 Quiz

Objectives:All from 4.1-4.3

4.4 Graphs of Sine and Cosine: Sinusoids

Objectives:Students will be able to generate the graphs of

sine and cosine functions and explore various

transformations of these graphs.

4.5 Graphs of Tangent, Cotangent, Secant and

Cosecant

Objectives:Students will be able to generate the graphs for

tangent, cotangent, secant, and cosecant functions

and explore various transformations of these

graphs.

4.6 Graphs of Composite Trigonometric Functions

Review – Matching Activity

(Make a new one)

Objectives:Students will be able to graph sums, differences

and other combinations of trigonometric and algebraic

functions.

November 21 November 22 November 23 November 24 November 25Review 4.4 – 4.6 Quiz Thanksgiving Break

No SchoolThanksgiving Break

No SchoolThanksgiving Break

No School

November 28 November 29 November 30 December 1 December 2Thanksgiving Break

No School4.8 Solving Problems

with Trigonometry

Objectives:Students will be able to apply the concepts of

trigonometry to solve real-world problems.

4.7 Inverse Trigonometric Functions

-Distribute Ch 4 Review


relate the concept of inverse function to

trigonometric functions.

Review

Early Release

No School

December 5 December 6 December 7 December 8 December 9Review Ch 4 Test 5.1 Fundamental

Identities Notes


use fundamental identities to simplify trigonometric expressions and solve

trigonometric equations.

5.2 Proving Trigonometric Identities


decide whether an equation is an identity and

to confirm identities analytically.

Review – Problem Piles

December 12 December 13 December 14 December 15 December 165.1 Memorization Quiz

5.1-5.2 Quiz

Review for Midterm Review for Midterm Review for Midterm/Review dominoes

Midterm

December 19 December 20 December 21 December 22 December 235.5 The Law of Sines

SmartBoard Lesson


understand the proof of the Law of Sines and use

computational applications of the Law of Sines to

solve a variety of problems.

5.6 The Law of Cosines

SmartBoard Lesson


apply the Law of Cosines to solve acute and obtuse triangles and to determine

the area of a triangle in terms of the measures of the sides and the angles.

Christmas BreakNo School



December 26 December 27 December 28 December 29 December 30Christmas Break

No SchoolChristmas Break




No School

January 2 January 3 January 4 January 5 January 6Christmas Break

No SchoolReview WS 5.3 Sum and Difference

Identities


apply the identities for sine, cosine and tangent of a

difference or sum.

5.4 Multiple-Angle Identities

Objectives:Students will be able to apply the double-angle

identities, power-reducing identities, and half-angle

identities.

Solving Trig Equations Notes

Objectives:Students will be able to solve more complex trig

equations.

January 9 January 10 January 11 January 12 January 13

Review Review 5.3-5.4 Quiz

Solving Trig Equations Quiz

Review

End of 2nd nine weeks

Professional Development Day

No School

January 16 January 17 January 18 January 19 January 20MLK Day

No SchoolReview Review/Victim at Board Ch 5 Test Ch 1-5 Comp Partner

Test

January 23 January 24 January 25 January 26 January 276.1 Vectors in the Plane

SmartBoard Lesson

Objectives:Students will be able to apply the arithmetic of

vectors and use vectors to solve real-world problems.

6.2 Dot Product of Vectors

SmartBoard Lesson


calculate the dot product and projections of vectors.

Finish 6.2/Work Day

Math TBT MeetingMods 11-18

Review

Math Committee Meeting8 a.m.-11 a.m.

6.1-6.2 Quiz

January 30 January 31 February 1 February 2 February 36.3 Parametric Equations

and Motion

SmartBoard Lesson


define parametric equations, graph curves parametrically, and solve

application problems using parametric equations.

Parametric Curve Matching Activity

Finish 6.3 Notes

6.3 Group Activity – Exploring Parametric Equations and Curves

6.4 Polar Coordinates

SmartBoard Lesson


convert points and equations from polar

coordinates to rectangular coordinates and vice

verse.

Rose Curves Scavenger Hunt

6.5 Graphs of Polar Coordinates

SmartBoard Lesson


graph polar equations and determine the maximum r-value and the symmetry of

a graph.

February 6 February 7 February 8 February 9 February 10Review Review 6.3-6.5 Test 6.6 De Moivre's Theorem

and nth Roots


represent complex numbers in the complex plane and write them in trigonometric form, and

use trigonometric form to simplify some algebraic operations with complex

numbers.

Finish 6.6

February 13 February 14 February 15 February 16 February 17Review Review


5 – 8 p.m.

Ch 6 Test Ch 1-6 Comp Test


5 – 8 p.m.February 20 February 21 February 22 February 23 February 24

Teacher Exchange Day -

No SchoolFebruary 27 February 28 March 1 March 2 March 3

March 6 March 7 March 8 March 9 March 10

March 13 March 14 March 15 March 16 March 17

March 20 March 21 March 22 March 23 March 24End of 3rd Nine

Weeks

March 27 March 28 March 29 March 30 March 31Spring Break

No SchoolSpring Break




No School

April 3 April 4 April 5 April 6 April 7

April 10 April 11 April 12 April 13 April 14Good FridayNo School



May 1 May 2 May 3 May 4 May 5




May 29 May 30 May 31 June 1Memorial Day

No School

Documents

perrylocal.orgperrylocal.org/meinkea/files/2011/10/Honors-Precalculus... · Web viewObjectives:Students will be able to use numerical, algebraic and graphical models to solve problems