Richmond Hill High School

 

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Mr. Choi’s Web Page

RHHS Math Paths

MATH EXTRA HELPS

 Math Department Web Site

Room 2026

 

Monday – Wednesday

3:40pm – 4:30pm

 

Thursday

7:50am – 8:30am

 

MARKS

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CEMC Problem Set Generator

Centre for Education in Mathematics and ComputingImage result for university of waterloo cemc

 School Web Site

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TI - 83            Online Calculator

(MCR3U, MHF4U, MCV4U, AP Calculus)

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desmos Graphing ToolsImage result for desmos

Formulas References

·         Trig Formulas  (MCR3U, MHF4U, MCV4U, AP Calculus)

·         More Trig Formulas with Proofs  (MHF4U, MCV4U, AP Calculus )

·         Exponential & Logarithmic

     (MHF4U, MCV4U, AP Calculus)

·         Integrations Rules  (AP Calculus)

Proofs

·          Proof-of-Derivative-rules  (MCV4U)

·          Proof of Dot Product   (MCV4U)

·          Proof of Cross Product   (MCV4U)

·          Proof of Some Reduction Formulas (AP)

·         Proof of Taylor Series formulas (AP)

·         Misconceptions of Inverse Article 

Extra worksheets

Do as you need!

·        Integers and Fractions (All levels)

·         Exponent Laws (All levels)

·        Polynomials (All levels)

·         Common Factoring & Grouping

·         Factoring Trinomials

·         Review-Review-Review   (All grades)

 

3 main components to succeed in the course

*** TEACHING - LEARNING - PRACTICING ***

You are in charge 2/3 of them!!

Semester 2  (2018 - 2019)

CLASSES  

Periods  1

Period 4

Period 5

Grade 10

Academic Math

Grade 12

AP Calculus

& Vectors

Grade 11

University Level

 (Enriched)

My Office hours: Image result for office hours

Room 2021

Periods 2 & 3

Ch. 1

Ch. 2

Ch. 3

Ch. 4

Ch. 5

Ch. 6

Ch. 7

Ch. 8

Ch. 9

Ch. 10

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Click the icon to email me!!

 

eric.choi@yrdsb.ca

 

Tel: 905-884-2131

Ch. 6

Ch. 7

Ch. 8

Ch. 9

Outline

Unit 1 PDF

Unit 2 PDF  

Unit 3 PDF

Unit 4 PDF  

Unit 5 PDF

Unit 6 PDF

Exam Reviews

APCal(AB)V1

APCal(AB)V2

APCal(AB)V3

APCal(AB)V4

APCal(AB)V5

APCal(BC)V1

APCal(BC)V2

APCal(BC)V3

APCal(BC)V4

APCal(BC)V5

Outline

Unit 1 PDF

Unit 2 PDF  

Unit 3 PDF

Unit 4 PDF  

Unit 5 PDF

Unit 6 PDF

Unit 7 PDF

       Exam Reviews

APCal Commentary (Soln)

MPM2D1-08

MCV4UE-01

MCR3U6-03

Rooms

Portable 3

2024

2024

Tests and Quizzes dates

Quiz 4: Mar 5:  Up to Circumcenter

Test 1: Feb 27: Linear Systems

Quiz 3: Feb 22: Linear systems word Problems

Quiz 2: Feb 20: Solving Linear systems (No word problems)

Quiz 1: Feb 13: Day 1 to Slope and Relations

Quiz 5: Mar 8: Chapter 6

Quiz 4: Feb 27: Chapter 5

Test 2 : Feb 22: (Chapter 4)

Quiz 3: Feb 15 Word Problems

Test 1 : Feb 4: (Chapters 1 – 3)

Quiz 2: Jan 17: Derivatives

Quiz 1: Dec 20: Chapters 1 & 2

Test 1: Mar 6: (Grade 11 items only)

Quiz 4: Mar 1:  Adf items (Yellows) & Rationals

Quiz 3: Feb 22: Quadratics Word Problems

Quiz 2: Feb 19: Radicals to Quadratics (No word Problems)

Quiz 1: Feb 11: Order of Operations to Algebra including factoring (30 min)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Mar 8

(Fri)

 

Unit Review

Chapter 2 Review P. 205 #1 – 23

CP: Chapter 2 Review

Lesson Handout:

Unit 2 Review

Quiz 5

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Solving Polynomial Equations & Inequalities

LG: We are going to learn how to solve polynomial equations, in which some of them involve with factor theorem concepts.

 

Do the exercises on the CEMC Advanced Functions website for Solving Polynomial Equations.

 

Do the exercises on the CEMC Advanced Functions website for Solving Polynomial Inequalities.

Mar 7

(Thu)

Analytic Geometry – Word Problems 2

Work Period 

Read P. 192 Example 3

Read P. 200 Examples 1 - 2

P196 #22

P203 #3—7, 10, 11

Review

Chapter 2 Review P. 205 #1 – 23

CP: Chapter 2 Review

Lesson Handout:

Analytic Geometry – Word Problems 2

Analytic Geometry Problems 2 (PPS)

 

Lesson Handout:

Unit 2 Review

Quiz 4 return

Binder check

 

6.4 - Exponential Growth and Decay

LG:  We are going to review the natural exponential growth and decay concepts

P. 357 #21 – 43

6.5  Logistic Growth

LG:  We are going to learn logistic equation and logistic differential equations.

P. 369 #31 – 36

Lesson Handout:

Logistic Growth

Logistic Growth (Soln)

Equation of Polynomial Functions in Factored Form

LG: We are going to learn how to solve polynomial equation given they are in factored form.

 

Watch the lessons on the CEMC Advanced Functions website for Equations of Polynomial Functions in Factored Form.

 

Mar 6

Wed)

Analytic Geometry – Word Problems

LG: We are going to continue to review the Cartesian triangle and also some terms related to the quadrilaterals

P182 #2, 3, 5 —10 #11odd, 13, 17a, 18, 20

 

Lesson Handout:

Analytic Geometry – Word Problems

Analytic Geometry Problems 1 (PPS)

 

 

6.4 - 6.5 Separable Differential Equations & Partial Factoring

learn how to use partial factoring technique to break down fractions prior to the antiderivatives.

P. 369 #1-22

 

Lesson Handout:

Separate Diff Eqn & Partial Fractions

Separate Diff Eqn & Partial Fractions

 (Soln)

Test 1

 Related image

Mar 5

(Tue)

Quiz 4

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Trig. Substitutions

LG:  We are going to learn the Trig related integrations that required the trig. Identities and some substitution techniques.

WS: Trig. substitutions.  Odd #

 

Lesson Handout:

Trigonometric Substitutions

Trigonometric Substitutions (Soln)

 

Graphs of Polynomial Functions

LG: We are going to learn how to graph polynomial functions

 

Do the exercises on the CEMC Advanced Functions website for Graphs of Polynomial Functions in Factored Form.

 

 

Mar 4

(Mon)

Altitude and Orthocenter

LG: We are going to be introduced the altitude and orthocenter

P. 194 #3, 4, 6, 13, 17

CP: Orthocentre

 

Bring your Geometry Set this week

 

Lesson Handout:

Altitude and Orthocenter

 

Altitude and Orthocenter (PPS)

 

Trig. Integrals

LG:  We are going to learn the Trig related integrations that required the trig. Identities and some substitution techniques.

WS: Trig. Integrals.  Odd #

 

Lesson Handout:

Trigonometric Integrals

Trigonometric Integrals (Soln)

 

Polynomial Functions

LG: We are going to learn how to graph polynomial functions

 

Do the exercises on the CEMC Advanced Functions website for Introduction to Polynomial Functions.

 

Watch the lessons on the CEMC Advanced Functions website for Transformations of Simple Polynomial Functions.

 

Watch the lessons on the CEMC Advanced Functions website for Characteristics of Polynomial Functions.

 

Mar 1

(Fri)

Perpendicular Bisector and Circumcentre

LG: We are going to learn how to determine perpendicular bisector and the circumcentre.

P.173 # 4, 5, 12, 15,18

P.194  #3,10,14, 16

CP: Circumcentre

 

Bring your Geometry Set this week

 

Lesson Handout:

Perpendicular Bisector and Circumcentre

 

Perpendicular Bisector and Circumcentre (PPS)

 

6.3 Antiderivatives by Parts  (30 min)

LG:  We are going to learn how to take the antiderivatives by breaking them into parts

P. 346 #1 - 34

Integration 111 rules

 

Lesson Handout:

6.3 Antidifferentiation by Parts

6.3 Antidifferentiation by Parts (Soln)

 

 

Quiz 4  return

Review for Unit test 1

McGraw Hill – Mathematics 11

P. 154

Text book Review Chapter 2

 

 

Quiz 4

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Feb 28

(Thu)

Medians and Centroid

LG: We are going to be introduced the medians and centroid concepts

P173 #2, #4, 13,14

P. 194 #1, 8, 12, 18

CP: Centroid #1-4

Lesson Handout:

Median and Centroid

 

Median and Centroid (PPS)

 

6.2 Antidifferentiaion by Substitution

LG: We are going to learn hoe to take the antiderivatives by substitutions

P. 337 #1-66

 

Lesson Handout:

6.2 Antidifferentiation by Substitution

6.2 Antidifferentiation by Substitution (Soln)

 

 

 

 

Rational Word Problems 2

LG: We are going to learn how to set up the rational expressions to deal with word problems

HW:  Rational Word Problems 2.

Work period

 

Lesson Handout:

Rational Word Problems 2

 

Sum and Product of roots to Quadratics

(Under Quadratic units)

LG: We are going to learn the relationship between the sum and product of the roots to quadratics

 

HW: Roots of Quadratics

Lesson Handout:

Sum and Product of Roots to Quadratics

Worksheet

Roots to Quadratics

Feb 27

(Wed)

Test 1 – Linear Systems  

Remind students to bring Protractor class set, ruler, compass for next few classes

Related image

  Quiz 4

 

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Rational Word Problems

LG: We are going to learn how to set up the rational expressions to deal with word problems

 

Lesson Handout:

Rational Word Problems 1

 

HW:  Rational Word Problems 1

 

Feb 26

(Tue)

Medians and Centroid

LG: We are going to be introduced the medians and centroid concepts

P173 #2, #4, 13,14

P. 194 #1, 8, 12, 18

CP: Centroid #1-4

Lesson Handout:

Median and Centroid

 

Median and Centroid (PPS)

Chapter 6

6.1 Slope Field and Euler’s Method

LG: We are going to learn how to create the slope field of the functions and/or relations and also being introduced to the Euler’s method

P. 327 #1-52

 

Lesson Handout:

6.1 Slope Field and Euler’s Method

6.1 Slope Field and Euler’s Method (Soln)

 

Adding & Subtracting Rational Expressions

HW:  T(2.2): #8,9,11,12,14,17,19

 

Lesson Handout:

Adding and Subtracting Rational Expressions

6 Basic Parent Functions

 

McGraw Hill – Mathematics 11

HW:  P. 67 #2,3,5,7,8,10,11

 

LG: We are going to learn how to add and subtract rational expressions.

6 Basic graphs

HW: Exploring Properties of Parent Functions

 

Feb 25

(Mon)

The Equation of a Circle,

LG: We are going to learn how to determine the equation of a circle with center the origin.

WS: Equation of Circle

P. 156 #8 – 12

Remind students to bring Protractor class set, ruler, compass for next few classes

Lesson Handout:

The Equation of Circle

 

The Equation of Circle (PPS)

 

Quiz 3 return

Chapter 5 Review

P. 315

 

5.5 Trapezoidal Rule & Simpson’s Rule

LG: We are going to learn the Trapezoidal and Simpson’s Rule

P.312 #2-18,23-26

 

Lesson Handout:

5.5 Trapezoid Rule and Simpson’s Rule

UNIT 2

Simplify Rational Expressions

Multiply and Divide Rational Expressions

LG: We are going to learn how to simplify, multiply and divide rational expressions.

HW: T(2.2): #1 – 6

 

Lesson Handout:

Rational Expressions

 

McGraw Hill – Mathematics 11

HW:  P. 40 #1,3-6, 9,15  & P. 50 #4,6-8,11,13               (every other)

 

Quiz 3 return

Feb 22

(Fri)

Review for Test 1 Summary of Solving Systems

P. 119 – 131 #1-24

CP: Linear Systems Review

 

Lesson Handout:

Linear Systems Review P51 #10, 14

P62 #14, 16

P71 #13

P83 #8, 12

P94 #18

Quiz 3

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Test 2

Related image

Factor theorem Extended

LG: We are going to extend the factor theorem to factor higher degree non-simple polynomials

 

 

Watch the lessons on the CEMC Advanced Functions website for Methods of Factoring Polynomials.

 

Quiz 3: Quadratic Word Problems

Feb 21

(Thu)

Distance on the Plane

LG: We are going to learn how to find the distance on the plane

P151  #2, 3, 6—11, 14

P162  #2(a-f), 3, 4, 5, 8, 11

 

Lesson Handout:

Distance on the Plane

 

Distance on the Plane (PPS)

 

Quiz 2 return

 

5.4 Fundamental Theorem of Calculus

LG: We are going to learn the fundamental theorems 1 and 2

P. 302 #1-50

 

Lesson Handout:

5.4 Fundamental Theorem of Calculus

 

Factor theorem

LG: We are going to learn how to factor higher degree simple polynomials using the factor theorem and its related concepts.

 

Do the exercises on the CEMC Advanced Functions website for Factoring Polynomials Using the Factor Theorem.

 

 

 

 

 

Feb 20

(Wed)

Unit 2: Analytic Geometry

Properties of Triangles & Quadrilaterals (Review)

LG: We are going to be introduced the analytical geometric shapes and terms.

Read P. 33 & 38. Make Summary notes

P. 34    #1 - 4

P. 39    #1, 2, 4, 5, 6

Read P. 36. Make Summary notes

P. 37    #1, 2, 3, 4, 6, 7

CP: Cartesian Triangles - A Summary

 

Unit Outline:

Unit 2 Outline and Lesson Plan

 

Lesson Handout:

Properties of Triangles & Quadrilaterals

 

Properties of Triangle & Quadrilaterals (PPS)

Quiz 2

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5.3 Definite Integrals & Antiderivatives

LG: We are going to learn the antiderivative concepts

P. 290 #1-7,13-15,19-35

 

Lesson Handout:

5.3 Definite Integrals and Antiderivatives

Quiz 3 return

 

MHF materials

Divisions of Polynomials & Remainder Theorem

 

LG: We are going to learn division of polynomials and remainder theorem

 

 

Do the exercises on the CEMC Advanced Functions website for Division of Polynomials.

 

Watch the lessons on the CEMC Advanced Functions website for The Remainder and Factor Theorems.

 

 

Feb 19

(Tue)

Work period and take up questions

CP Solving Systems – Word Problems (#1-25)

 

Lesson Handout:

 

Linear Systems Word Problems

Word Problems with Linear Systems 2

LG: We are going to continue to learn how to set up the system of equations for the word problems and then solve it.

CP.  Word Problems with Linear Systems 2

P62 #15

P93 #13, 14, 17, 25

P103 #14 – 18, 23, 24

 

Lesson Handout:

Word Problems with Linear Systems 2

 

Word Problems with Linear System 2 (PPS)

Quiz 1 return

 

5.2 Riemann Sums and Definite Integrals

LG: We are going to learn how to use Riemann Sum to find the area under curve and introduction to Integrations.

P. 282 #1-40

 

Lesson Handout:

5.2 Riemann Sums and Definite Integrals

 

Quadratic Problems (Roots)

LG: We are going to review how to do quadratic related word problems which the roots are the solutions

HW: Quadratic Word Problems (Roots)

Lesson Handout:

Quadratic (Roots) Problems

 

Quadratic (Roots) Problems  (PPS)

 

 

McGraw Hill – Mathematics 11

P. 129 #3,5,7,9,12

 

Quiz 2: Radicals to Quadratics (No word Problems)

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Feb 18

(Family Day)

(Mon)

Image result for holiday no school cartoon

Image result for holiday no school cartoon

Image result for holiday no school cartoon

Feb 15

(Fri)

Word Problems with Linear Systems 1

LG: We are going to learn how to set up the system of equations for the word problems and then solve it.

CP.  Word Problems with Linear Systems 1

Lesson Handout:

Word Problems with Linear Systems 1

 

 

Word Problems with Linear System 1 (PPS)

 

 5.1 Estimating with Finite Sums

HW:  Read handout

P. 270 #1-4,9-12,17,20

LG: We are going to learn how to use finite sums and sigmas concepts to estimate area under curves

Quiz 3

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Intersection of Linear & Non-linear Relations

LG: Intersection of linear and Non-linear relations

HW: Intersection of Linear and Non-Linear Relations (All)

T(1.7): P. 67 #1,3,5bc,10,11,13

 

McGraw Hill – Mathematics 11

P. 684 #1,2,3,6 

 

Lesson Handout:

Intersection of Linear and Non-linear Relations

 

Intersection of Linear and Non-linear Relations (PPS)

 

AP extra fun work sheet:  

System of Equations

 

Feb 14

 

Image result for I love math

(Thu)

Creating a System of Equations

LG: We are going to learn how to modelling with linear equations and solve them to find the solution.

P51 #7—24

CP: Creating A System of Equations

Lesson Handout:

 

Creating a System of Equations  

 

 

Creating a System by Equations (PPS)

 

Chapter 5

5.1 Estimating with Finite Sums

& Related Rates Work period/Review

P. 251 #1-35

 

Lesson Handout:

5.1  Estimating with Finite Sums

5.1  Estimating with Finite Sums (Soln)

Quadratic Problems (Max & Min) (Vertex)

LG: We are going to review how to do quadratic related word problems which the vertices are the solutions.

HW: Quadratic (Max & Min) Problems

Quadratic (Max & Min) Problems Day 2

T(1.3): P. 31 – 32 #6, 9-11, 13,14

 

McGraw Hill – Mathematics 11

P. 116 #5,9,10,12,14,19,21

 

Lesson Handout:

Quadratic (Max & Min) Problems

 

Quadratic (Max & Min) Problems  (PPS)

 

Quadratic (Max & Min) Problems 2

 

Quadratic (Max & Min) Problems 2 (PPS)

Feb 13

(Wed)

Solving Systems of Equations by Elimination

LG: We are going to learn how to solve the system of equations by eliminations.

P102   #7—10, 22, 24

CP: Introduction to Elimination

CP: Solving Systems by Elimination

Lesson Handout:

Solving Linear Systems by Elimination

 

 

Solving Linear Systems by Elimination (PPS)

 

Quiz 1

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4.5 Linearization and Newton’s Method

P. 242 #1-7,9-13,19-33,37-40,46-54

LG: We are going to learn Newton’s method and Linearization

 

Lesson Handout:

4.5 Linearization & Newton’s Method

 

4.5 Linearization & Newton’s Method (Soln)

 

Family Functions

Graphing Quadratic Functions (All types)

LG: We are going to learn the family functions of quadratics

HW: T(1.6)  P. 57 #1a,3a,5a,6ac, 8, 11b

T(1.5): P. 49 #1,3,11c, 13b, 16

Lesson Handout:

Graphing Quadratic Functions

 

Graphing Quadratic Functions (PPS)

Feb 12

 

(Tue)

 

Work period and take up questions

Due to Increment Weather!

 

EQAO Literacy  Blitz  Feb 12

Image result for osslt (Cafeteria) Period 1

Selective students only

(Check below)

Literacy  Blitz (Feb 12) Student List

 

Word Problems Work Period

Optimizations work period

P. 226 All

 

 

Lesson Handout:

4.4b Optimization (Trig)

4.4b Optimization (Trig) (Soln)

 

4.4c Optimization (Exp & Log)

4.4c Optimization (Exp & Log) (Soln)

 

4.6b Related Rates (Trig)

4.6b Related Rates (Trig) (Soln)

 

Extra word problems

Optimization (Extra)

Related Rates (Extra)

 

 

Work period and take up questions

Due to Increment Weather!

 

Review of Quadratic Equations (All types)

 LG: We are going to review how to determine the vertices from quadratic equations by factoring, completing the square and by formula.

HW: Review Quadratics (All types)

T(1.3): P. 31 #1-3

 

McGraw Hill – Mathematics 11

P. 115 #1-3   

P. 128 #2,8-11,16,20,23

 

Lesson Handout:

Review of Quadratic (All types)

Review of Quadratic (All types) (PPS)

 

Quiz 1 return

Feb 11

(Mon)

Solving Systems of Equations by Substitution or Comparison

LG: We are going to learn how to solve the system of equations by substitutions or comparison.

P92 #1ac, 2ac, 4ac, 5, 7ace, 8ace 9 -11, 21

CP: Solving Systems by Substitution (Odd)

CP: Solving Systems by Substitution or Comparison (Odd)

Lesson Handout:

 

Solving Linear Systems by Substitution & Comparison

 

Solving Linear Systems by Substitution & Comparison (PPS)

 

EQAO Literacy  Blitz  Feb 12 (Cafeteria) Period 1

Selective students only

(Check below)

Literacy  Blitz (Feb 12) Student List

 

 

4.6 Related Rates 2

LG: We are going to learn rate of change to displacements

Cal & Vec: P. 569 #1c-e,2,8-11,18,19,21

 

Lesson Handout:

4.6 Related Rates 2

Extra Related Rates Handout

 

 

Solving Quadratic Equations (By Factoring)

LG: We are going to review quadratic equations by factoring, completing the square and by formula along with the sketching techniques.

HW: P. 58: Solving Quadratic equations (by factoring)

T(1.5): P. 49 #1, 11

Lesson Handout:

Solving Quadratic Equations by Factoring

 

Solving Quadratic Equations by Factoring (PPS)

 

Quiz 1:  Order of Operations to Algebra Reviews

http://www.shenet.org/arongen/dwest/dwpictures/Smiley%20face%20(book).jpg

Quote of the Week

“All students can learn and succeed, but not on the same day in the same way.”

William G. Spady

Feb 8

(Fri)

Solving Linear Systems by Graph

LG: We are going to learn how to solve the linear systems by graphing them and check.

P60 #4, 7—9, 12-14

CP: Determining Points of Intersection Graphically

Lesson Handout:

 

Solving Linear Systems by Graph

 

Solving Linear Systems by Graph (PPS)

 

EQAO Literacy  Blitz  Feb 12 (Cafeteria) Period 1

Selective students only

(Check below)

Literacy  Blitz (Feb 12) Student List

 

4.6 Related Rates 1

LG: We are going to learn rate of change to measurements

Cal & Vec: P. 569 #1ab, 3-7,12-17,20

 

Lesson Handout:

4.6 Related Rates 1

 

Functions, Relations, Domain and Range (Part 1) from graphs

LG: We are going to learn the definitions of relations and functions and the domain and range of them when the functions and relations are given in graph form or order pair form.

HW:  Functions & Relations, Domain & Range by Graph (All)

T(1.1): P. 12-15 #1-5,7,15-18

T(1.2): P. 22-24 #1,5,15

 

McGraw Hill – Mathematics 11

P. 178 #1,4-12

 

Lesson Handout:

Functions – Domain and Range by Graph

 

Functions – Domain and Range by Graph (PPS)

 

 

 

Feb 7

(Thu)

 

Slope and Linear Relations (Review)

LG: We are going to review the how to find slope, and the linear relationship concepts

P26 #1odd, 2ac, 4odd, 5odd, 6

P28 #1—6 

CP: Review Linear Relations (Odd or All if no text book given out yet)

Power Point slides of last week lessons are up.  Please use them wisely for your references.

 

 

Lesson Handout:

Slope and Linear Relations

 

Slope and Linear Relations (PPS)

 

 

 

 

 

 

 

 

4.4 Optimizations 2

HW: P. 145 #15,16

P. 151 #1,4,6-9,11ab,12,14

LG: We are going to learn how to optimize a relation that involves with displacement.

 

Test 1 return

Factoring – Mixed review (All)

Lesson Handout:

Mixed Factoring Review

 

Radicals system

LG: We are going to learn the radicals and the complex number system.

HW: Radicals system (All)

T(1.4): P. 39 - 40  #1-8 (Every others), 9, 13,16a

Lesson Handout:

Radicals System

 

Radicals System (PPS)

 

McGraw Hill – Mathematics 11

P. 104 #1-4,

 

Complex Number system

LG: We are going to learn an extension of the radical system; the complex number system which lead to Imaginary roots.

HW: Complex Numbers system: #1 - 9 

Lesson Handout:

Complex Numbers System

 

Complex Numbers System (PPS)

 

McGraw Hill – Mathematics 11

139 #2-7

 

 

Feb 6

 

(Wed)

Solving First Degree Equations (Review)

LG: We are going to review the concepts solving first degree equations by isolating the variable to make the statement true.

HW: Solving First Degree Equations #1-6

Lesson Handout:

 

Solving First Degree Equations

 

 

Solving First Degree Equations (PPS)

4.4 Optimizations 1

HW:  Cal & Vec:

P.145 #1,3-5,7-9,11,13-14,20,21

LG: We are going to learn how to optimize a relation that involves with measurements.

Review for test

 

Lesson Handout:

4.4 Optimizations

 

4.4 Optimizations (Soln)

 

Review of Factoring 2: (Grouping and Trinomials)

HW: Review of Factoring 2  (All)

LG: We are going to review the factoring techniques (Simple & Non-Simple trinomials)

Lesson Handout:

Review of Factoring 2

 

Review of Factoring 2 (PPS)

 

Appendix of Factoring

TEXT Book (Please write down your name and record the text book number)

 

Feb 5

Image result for chinese new year cartoon

(Tue)

 

Algebraic Expressions (Review)

LG: We are going to review the concepts simplifying algebraic expressions by grouping the like terms.

HW: Algebraic Expressions (All)

Lesson Handout:

 

Algebraic Expressions

 

 

Algebraic Expressions (PPS)

4.3 Connecting f’ and f’’

P. 215 #1-30,33-38,47

Cal & Vec (Optional)

P. 205 #2,4,8-11

LG: We are going to learn the relationships between f’ and f’’ toward a function

 

Lesson Handout:

4.3 Connection f’ and f”

 

Review of Algebra: Distributive Properties

HW:  A Review of Algebra (All)

 

McGraw Hill – Mathematics 11

P. 29 #1,2,8-10 (Every other)

 

LG: We are going to review the distributive properties and Common factoring and factoring trinomials techniques

Lesson Handout:

Review of Algebra

 

Review of Algebra (PPS)

 

Review of Factoring 1: (CF. Grouping & Diff of Sq.)

HW: Review of Factoring 1  (All)

LG: We are going to review the Common factoring and factoring by grouping and Diff of Sq. techniques

Lesson Handout:

Review of Factoring 1

 

Review of Factoring 1 (PPS)

 

Feb 4

Semester 2

 

(Mon)

Unit 1: Linear Systems and Analytic Geometry

Course outline and Evaluation

1a: Numeracy (Review)

LG: We are going to review the concepts of integers, fractions and their related operations.

Unit Outline:

Unit 1 Outline and Lesson Plan

 

Lesson Handout:

Numeracy review

 

 

 

                                                             Day 1 Power Point  (PPS)            Numeracy review (PPS)

Test 1:    

Related image

UNIT 1

Course Outline, Expectations

Order of Operations Review

HW:  Order of Operations #1 - 5

LG: We are going to talk about the course expectations and objectives

 

Lesson Handout:

Unit 1 Outline and Lesson Plan

 

Order of Operations

 

Order of Operations (PPS)

 

Exponent Laws Review

HW: Exponent Laws Review (All)

LG: We are going to review the exponent laws and their applications

Lesson Handout:

Exponent Laws Review

 

Exponent Laws Review (PPS)

 

 

 

Semester 2

Jan 21

 

(Mon)

 

4.2 Mean Value Theorem

P. 202 #1-13,15-38,43

LG: We are going to learn the Mean value Theorem and an introduction of Antiderivatives

 

Lesson Handout:

4.2 Mean Value Theorem

 

Quiz 2 return

 

Jan 18

(Fri)

 

Chapter 4

4.1 Extreme Values of Functions

P. 193 #2-30,35-41

Cal & Vec (Optional)

P. 169 #1,3,5,7,8    P. 178 #5,7-9,11,15

P. 233 #12    P. 245 #2,12    P. 256 #6,7,11

P. 260 #5 - 7

LG: We are going to learn the first derivative

 

Lesson Handout:

4.1 Extreme Values of Functions

4.1 Extreme Values of Functions (Soln)

 

 

Jan 17

 

 

Quiz 2

http://www.shenet.org/arongen/dwest/dwpictures/Smiley%20face%20(book).jpg

 

Jan 16

 

 

Study for Quiz

 

Jan 15

 

 

3.9 Derivative of Exponential & Logarithmic Functions 2

(Logarithmic Differentiations)

P. 178 #1-42, 51, 53

LG: We are going to learn how to take the derivatives of Exp and Log functions and also the logarithmic differentiation techniques.

Cal & Vec P. 582 #1-9,12,13

 

Lesson Handout:

3.9b Logarithmic Differentiations

3.9b Logarithmic Differentiations  (Soln)

 

 

Jan 14

 

Period 2

Course selection (Cafe)

10:55-11:30am

 

 

3.9 Derivative of Exponential & Logarithmic Functions 1

P. 178 #1-42, 51, 53

LG: We are going to learn how to take the derivatives of Exp and Log functions

 

Lesson Handout:

3.9 Derivative of Exp and Log Functions

3.9 Derivative of Exp and Log Functions (Soln)

 

 

 

Jan 11

 

 

3.8 Derivative of Inverse Trig Functions.

P. 170 #1 - 29

LG: We are going to learn how to take the derivatives of the Inverse Trig Functions and their applications

 

Lesson Handout:

3.8 Derivative of Inverse Trig Functions

3.8 Derivative of Inverse Trig Functions (Soln)

 

 

Jan 10

 

 

3.7 Implicit Differentiation

P. 162 #1-42

Cal & Vec

P. 564 #2,3cd,4-10,12,13

LG: We are going to learn how to take the derivative that the function y is not isolated explicitly.

 

Lesson Handout:

3.7 Implicit Differentiations

 

 

Jan 9

 

 

3.5 Derivatives of Trigonometric Functions

P. 146 #1-36,42,43

P. 153 #1-32

Cal & Vec

P. 256 #1-5,14

P. 260 #1-5,8,10,11

LG: We are going to learn the derivative of trig functions.

 

Lesson Handout:

3.5 Derivatives of Trigonometric Functions

 

Quiz 1 return

 

 

Jan 8

 

 

3.6 Chain Rule

LG: We are going to learn the derivatives of composite functions using the chain rule.

Cal & Vec

P. 105 #1bdef,4,5,7-17

 

Lesson Handout:

3.6 Chain Rule

 

 

Jan 7

 

 

3.4 Velocity and Other Rates of change

P. 135 #1,3,4,8,9,11,13-16,19-25,28,29

Cal & Vec

P. 127 #3,4,6bc,8,10,11,12,14,15,17

LG: We are going to learn how to apply the derivatives to perform rate of change questions.

 

Lesson Handout:

3.4 Velocity and Other Rates of Change

 

 

Dec 20

 

 

Quiz 1 (Ch1 & 2)

http://www.shenet.org/arongen/dwest/dwpictures/Smiley%20face%20(book).jpg

 

Dec 19

 

 

3.3 Rules of Differentiation

P. 124 #1-41,46,47

Cal & Vec: P. 82 #2-4,6,7cd,8a,9bef,10-14,17a,21,25a(iii)

P.90 #1d-f,5a-c,6,7a,12

P. 97 #4bcef,5,6,7,9,10,12,14,15

LG: We are going to learn the basic derivative rules of functions

 

Lesson Handout:

3.3 Rules of Differentiation

 

Dec 18

 

 

Chapter 3

3.1 Derivative of a Function

3.2 Differentiability

P. 105 #1,3,5-16,18-20,22,24,31,32

P. 114 #1-26,31-35,39

LG: We are going to learn how to use limits to find derivatives and to determine whether the function is differentiable or not.

Review Chapter 2 P. 95

 

Lesson Handout:

3.1 & 3.2 Derivative of Functions & Differentiability

 

 

Dec 17

 

 

2.4 Rates of Change and Tangent Lines

LG: We are going to learn and review how to find the rate of change using limits.

AP Cal: P. 92 #7, 9-33

P. 77 #1-4, P. 94 #1-4

Cal & Vec: P. 18 #3,6,8b,9c,10b,11,17-23

P.29 #4,7,8,10-13,15bc,20,22

 

Lesson Handout:

2.4 Rates of Change and Tangent Lines

 

 

Dec 14

 

 

 2.3 Continuity

LG: We are going to learn how to determine the continuity of the functions.

P. 84  #1 – 16, 19 – 36, 48 - 50

 

Lesson Handout:

2.3 Continuity

 

2.2 Infinite Discontinuity & Limit at Infinity

LG: We are going to learn limits when x is approaching to the infinities.

P. 76 #9-44,53,54

 

Lesson Handout:

2.2 Infinite Limits

 

 

Dec 13

 

 

Limits of Trigonometric Functions

WS:  Limits of Trig.

Proof of SIN X / X

 

Lesson Handout:

1.6b Limits of Trigonometric Functions

 

 

Dec 12

 

 

Chapter 2

2.1 Rate of Changes and Limits

LG: We are going to learn the definition of limits and review the rate of change ideas, also we are going to be introduced how to determine a function exists or continuous within the domain.

P. 66 #7-30, 37-44, 49, 55, 75

 

Lesson Handout:

2.1 Rate of Changes and Limits

 

 

Dec 11

 

 

 

1.6 Inverse Trigonometric Functions

LG: We are going to learn Inverse trig function and how to restrict its domain to make it to become a 1-to-1 function.  Also we are going to learn the limits of Trig functions.

P. 52 #1 – 22 (Optional)  & #25-42 

WS:  Inverse Trig functions

 

Lesson Handout:

1.6 Inverse Trigonometric Functions

 

 

Dec 10

 

 

1.5 One-to-one Functions

LG: We are going to review the properties of logarithmic functions and learn the definition of One-to-One function and its inverse.

P.44 #1,3,4,7,9,11,13,16,19,20,21,23,27,28,

33-42,46-48

 

Lesson Handout:

1.5 One-to-one Functions

 

Dec 7

 

 

1.4 Parametric Equations (Part 2)

LG: We are going to learn the definition of Parametric Equations and how to convert it into Cartesian Equation

P. 34  #1,3,5-28

 

Lesson Handout:

1.4 Parametric Equations

 

 

Dec 6

 

 

1.4 Parametric Equations (Part 1)

LG: We are going to learn the definition of Parametric Equations and how to convert it into Cartesian Equation

P. 34  #1,3,5-28

 

Lesson Handout:

1.4 Parametric Equations

 

 

Dec 5

 

 

AP Calculus Text books

AP Calculus

Chapter 1

1.2   Functions and Graphs

P.19 #8,9,11,12,27-30, 33, 39, 41, 46, 47,52,53cd,55,56

1.3   Exponential functions

P.26 #3,4,10,12,13-19,22,23,25,29,32 

·         1.1 PDF Solutions

·          1.2 PDF Solutions

·          1.3 PDF Solutions