Richmond Hill High School

Mr. Choi’s Web Page

Semester 2  (2017-2018)

Back to RHHS Math Web Site

Image result for extra helpMATH EXTRA HELPS

(Room 2026)

Monday – Thursday  

 3:40pm – 4:30pm

 

Richmond Hill High School – School Calendar

Office hours: Room 2021 (Periods 1 & 4)

 

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·         Math review worksheets: Review-Review-Review   (All grades)

·         3D Plots  (MCV4U)  

·         Desmos Graphing Tool   (All grades)

·         Misconceptions of Inverse Article  (MHF4U)

·         TI83 Online Calculator (MCR3U, MHF4U, MCV4U, AP Calculus)

·         Proof-of-Derivative-rules  (MCV4U)

·         Proof of Dot Product   (MCV4U)

·         Proof of Cross Product   (MCV4U)

·         Proof of Some Reduction Formulas (AP Calculus)

·         Proof of Taylor Series formulas (AP Calculus)

 

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

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

·         Exponential & Logarithmic Formula Sheet    (MHF4U, MCV4U, AP Calculus)

·         Integrations Rules  (AP Calculus)

 

 

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Mr. Choi

Period 2

Period 3

Period 5

 

CLASSES

CHOI SP2013.JPG

Grade 12

AP Calculus (AB/BC)

& Vectors

Grade 11

University Math Enriched (Pre-AP)

Grade 10

Academic Math

Course Pack (PDF)

Course Outline

Course Outline

Course Outline

Self-Reflects Definitions

MCV4UE-01

MCR3U6-04

MPM2D1-12

Rm: 2008

Rm: 2008

Rm: 2007

MARKS

               (Click it!)

                Teach-Assist

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MARKS

 

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AP Calculus AB/BC

Grade 11 Math Enriched

(Pre - AP Level)

Grade 10 Academic Math

·         FINAL EXAM JUNE 21  (2008)

·         Test 6:  June 12: (Chapters 8 & 9)

·         Quiz 8: June 5:  (Equations of lines and planes 2D/3D)

·         Test 5 : May 29: (Chapters 6 & 7)

·         Quiz 7: May 23: Chapter 6 (Vectors) Upto forces

***********************

·         AP Calculus Exam: May 15 (8am)

 

·         Test 4 : Apr 6: (Chapter 7)

·         Quiz 6: Mar 29: (7.1 - 7.2 & Volumes using integrals) (30 min)

·         Test 3 : Mar 20: (Chapters 5 - 6)

·         Quiz 5: Mar 7: Chapter 6

·         Quiz 4: Feb 26: Chapter 5

·         Test 2 : Feb 20: (Chapter 4)

·         Quiz 3: Feb 13 Word Problems  (Semester 2)

·         Test 1 : Jan 22: (Chapters 1 – 3)

·         Quiz 2: Jan 12: Derivatives

·         Quiz 1: Dec 19: Chapters 1 & 2  (New date)

·         FINAL EXAM JUNE 22  (2008)

·         Quiz 13: June 11: Financial Applications (No mortgages)

·         Test 4: June 6 (Chapter 6)

·         Quiz 12: May 31: Sequences and Series

·         Test 3: May 24 (Chapter 4-5)

·         Quiz 11: May 17: Graphing Trig Functions

·         Quiz 10: May 10: Upto Trig Identities (including Trig MHF)

·         Quiz 9: May 1: Upto Acute angles

·         Quiz 8: Apr 20:  Adf items (Yellows)

·          Test 2: April 17: (Chapter 2-3) (Grade 11 items only)

·         Quiz 7: April 11: Exponential functions and solving exponential equations.

·         Quiz 6: Mar 28: Transformation of functions

·         Quiz 5: Mar 26: Adf items (Yellows) Polynomials

·         Test 1: Mar 7: (Grade 11 items only)

·         Quiz 4: Mar 2:  Adf items (Yellows) & Rationals

·         Quiz 3: Feb 23: Quadratics Word Problems

·         Quiz 2: Feb 20: Radicals to Quadratics (No word Problems) (No Complex numbers)

·         Quiz 1: Feb 12: Order of Operations to Algebra including factoring (30 min)

·         FINAL EXAM JUNE 26  (2007)

·         Test 6: June 7

·         Test 5: May 31

·         Quiz 11: May 28: Trigonometry (No word problems)

·         Quiz 10: May 23: Geometry to Similar Triangles

·         Test 4: May 17

·         Quiz 9: May 14: Quadratic Word Problems

·         Quiz 8: May 9: Quadratic Upto Q.Formulas

·         Test 3: April 27(New date)

·         Quiz 7:  Apr 24: Quadratic Relations to word problems

·         Quiz 6: Apr 12: Algebra (Simplify and Factor)

·         Test 2: Mar 26

·         Quiz 5: Mar 21:  Analytical Geometry problems

·         Quiz 4: Mar 6:  Up to Circumcenter

·         Test 1: Feb 28: Linear Systems 

·         Quiz 3: Feb 22: Linear systems word Problems

·         Quiz 2: Feb 20: Solving equations to Set up of Word Problems

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

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

APCal Commentary (Soln)

 

 

 

 

 

 

 

Jun 29

PA Day

(No School)

(Fri)

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Jun 28

PA Day

(No School)

(Thu)

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Jun 27

Exam Review Day

(Wed)

 

 

 

Jun 26

Graduation

(Tue)

 

 

FINAL EXAM

 Room 2007

Jun 25

(Mon)

 

 

 

Jun 22

(Fri)

 

FINAL EXAM

 Room 2008

Jun 21

(Thu)

FINAL EXAM

 Room 2008

 

 

Jun 20

(Wed)

 

 

Jun 19

(Tue)

 

 

Jun 18

(Mon)

 

 

 

Jun 15

(Fri)

Review

Calculus P. 267 ALL

Vectors  P. 557 ALL

REVIEW

Exam Review

Exam Review Package

Final Exam Review lessons: 

Unit 1 : Linear Systems

Unit 2: Analytic Geometry

Unit 3 : Algebra and Quadratic Models

Unit 4 : Quadratic Relations

Unit 5 : Similar Triangles and Trigonometry

Unit 6: Non-Right Triangle

Jun 14

(Thu)

Review

Calculus P. 267 ALL

Vectors  P. 557 ALL

REVIEW

Exam Review

Exam Review Package

Final Exam Review lessons: 

Unit 1 : Linear Systems

Unit 2: Analytic Geometry

Unit 3 : Algebra and Quadratic Models

Unit 4 : Quadratic Relations

Unit 5 : Similar Triangles and Trigonometry

Unit 6: Non-Right Triangle

Jun 13

(Wed)

Review

Calculus P. 267 ALL

Vectors  P. 557 ALL

REVIEW

Exam Review

Exam Review Package

Final Exam Review lessons: 

Unit 1 : Linear Systems

Unit 2: Analytic Geometry

Unit 3 : Algebra and Quadratic Models

Unit 4 : Quadratic Relations

Unit 5 : Similar Triangles and Trigonometry

Unit 6: Non-Right Triangle

Jun 12

(Tue)

Test 6

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REVIEW

Exam Review

Exam Review Package

Exam review V & VI, (Day 5)

Jun 11

(Mon)

Review

Mortgages

Not on Exam

Mortgages(PPS)

 

Quiz 13

Exam review III & IV, (Day 3)

Final Exam Review (8 pages)Test 6 return

Jun 8

Carnival

(Fri)

System of equations/Gauss-Jordan eliminations

LG;  We are going to be introduced how to solve the system of equations

P. 507 #1,3,8,9,12     P. 595 #3

 

Lesson Handout:

System of equations

System of equations (Soln)

 

Present Value of an Ordinary Annuity

LG:  We are going to be introduced the concepts of the present value of the annuities

P. 461 #1-8,10-13,16,17

McGraw Hill – Mathematics 11

HW:  P. 540 #1-5,9,12,13

Annuities (Present Value)(PPS)

 

BINDER ORGANIZATIONS and Exam Expectations

Exam review I & II, (Day 1)

P587—588 Cumulative Review

Optional CP169—170 Trigonometry Review

Jun 7

(Thu)

Intersection of 3 planes

LG;  We are going to be introduced the intersections of 3 planes

P. 531 #8,10,12,13,15

Quiz 8 return

 

Lesson Handout:

Intersection of 3 planes

 

Intersection of 3 planes (Proving short cut method)

 

Amount of an Ordinary Annuity

LG:  We are going to be introduced the concepts of Annuities

P.453 #1-5,8-12

Annuities

McGraw Hill – Mathematics 11

HW:  P. 532 #7-9

Test 6 Return

Annuities(PPS)

Test 6 – Trigonometry 2  (45 minutes)

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Jun 6

(Wed)

Intersection of 2 planes/Intro to 3 planes

LG;  We are going to be introduced the intersections of 2 planes

P. 516 #1-4,6,10

 

Lesson Handout:

Intersection of 2 planes/Intro to 3 Planes

 

Test 4:    

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(Knowledge & Applications only)

 

Present Value

LG:  We are going to be introduced the concepts of present values and their applications

P.441 #1-8,13

Review

McGraw Hill – Mathematics 11

HW:  P. 523 #2,8,16

Compound Interest (Present Value)(PPS)

Review for test

P. 580 – 585 #1 – 12

Trig 2 Review

 

Lesson Handout:

Trigonometry  2 Review

 

Jun 5

(Tue)

Distance from a point to a plane

LG;  We are going to be introduced how to find the distance between a point and a plane

P. 549 #2-7

 

Lesson Handout:

Distance from a point to a Plane

 Quiz 8

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Simple Interest

LG:  We are going to be introduced the concepts of simple interest

WS: Simple Interest

P.424 #2,7-9,12

McGraw Hill – Mathematics 11

HW:  P. 498 #1 - 6

Simple Interest(PPS)

Compound Interest

LG:  We are going to be introduced the concepts of compound interest

P.433 #8-11

WS: Compound Interest

McGraw Hill – Mathematics 11

HW:  P. 508 #3-5

Compound Interest(PPS)

 

SSA Triangles Investigations (Optional)

LG: We are going to work on a special case of Sine-law that involves with more than 1 triangle.  This section will be taught in more details in Grade 11.

SSA Triangles Investigations

 

Lesson Handout:

SSA Triangles Investigations

SSA triangles Investigations(PPS)

 

Applications of Sine and Cosine 2

LG: We are going to work on non-right triangles applications

Applications of Sine and Cosine #1-13

 

Jun 4

(Mon)

Distance from a point to a line

LG;  We are going to be introduced how to find the distance between a point and a line

P. 540 #1b,2b,3b,4b,5,6b,8,10

Review Ch 8

P. 480 All

 

Lesson Handout:

Distance from a point to a Line

 

Pascal’s Triangle to Binomial Theorem

LG: We are going to learn how to use the Pascal’s Triangle to expand binomials and some of their applications

WS:  Pascal’s triangle to Binomial theorem

P. 378 #5,6,7

 

Lesson Handout:

Pascal’s Triangle to Binomial Theorem

Pascal’s Triangle to Binomial Theorem (Soln)

Quiz 12 return

 

 

Applications of Sine and Cosine 1

LG: We are going to work on non-right triangles applications

Applications of Sine and Cosine #1-7

P567 #3, 6 – 10, 14

Test 5 return

 

 

Lesson Handout:

Applications of Sine and Cosine

 

Applications of Sine and Cosine Law(PPS)

Jun 1

(Fri)

Intersection of lines

LG;  We are going to be introduced how to find the intersection of lines in plane and space

P. 497 #8-12,14,15

 

Lesson Handout:

Intersection of Lines

 

 

Pascal’s Triangle

LG: We are going to learn the Pascal’s Triangle and some of its patterns.

WS:  Pascal’s triangle

P. 378 #2 -4, 8-11,17

 

Lesson Handout:

Pascal’s Triangle

Pascal’s Triangle (Soln)

 

 

Cosine Law

LG: We are going to be introduced the Cosine law to deal with non-right triangles

WS:  Cosine Law

Sine and Cosine Law problems

P566 #2, 4, 5

 

Lesson Handout:

Cosine Law

Cosine Law(PPS)

May 31

(Thu)

Intersection of line with plane

LG;  We are going to be introduced how to find the intersection of lines in plane and space

P. 496 #3-5,7,13,17

 

Lesson Handout:

Intersection of Line with Plane

Infinite Geometric Series (optional)

LG: We are going to learn the Geometric and Infinite geometric Series concepts and their applications

Review : Sequence and Series Formulas

P. 410- 411 all

Flip the classroom file:

Infinite Geometric Series

Infinite Geometric Series (PPS)

 

Lesson Handout:

Infinite Geometric Series

Quiz 12

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Test 5 – Trigonometry  

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May 30

(Wed)

Scalar Equation of planes

LG:  We are going to be introduced the scalar equation of planes in space

Sketching Planes in Space

LG:  We are going to learn how to sketch equation of planes in space

P. 476 $1,4-6,8-10

 

 

Lesson Handout:

Scalar Equation of Plane in Space

 

Geometric Series

LG: We are going to learn the Geometric and Infinite geometric Series concepts and their applications

P. 408 #1-7 (a&c only for each) , 9-12

Flip the classroom file:

Geometric Series

Geometric Series (PPS)

 

Lesson Handout:

Geometric Series

 

McGraw Hill – Mathematics 11

HW:  P. 476 #1-3,6-8

Unit 6: Non-Right Triangles with Trigonometry

Sine Law

LG: We are going to be introduced the sine law to deal with non-right triangles

WS:  Sine Law

 

Unit Outline:

Unit 6 Outline and Lesson Plan

 

Lesson Handout:

Sine Law

Sine Law 2

LG: We are going to continue to work with sine law and its related problems

P549 #1—4, 6—8

P550 #10, 15

P555 #1, 5, 9, 12

 

Review for Test

 

 

Sine Law(PPS)

May 29

(Tue)

Test 5

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Arithmetic Series

LG: We are going to learn the Series concepts and their applications

P. 400 #1-8 (acd for all) 11, 12, 14

Flip the classroom file:

Arithmetic Series

Arithmetic Series (PPS)

 

Lesson Handout:

Arithmetic Series

 

McGraw Hill – Mathematics 11

HW:  P. 469 #2-6, 11

Review

Chapter Review  (Course pack)

P.515-524 All

 

Lesson Handout:

Right Angle Trigonometry Review

May 28

(Mon)

Equations of Plane in Space

LG: We are going to be introduced the equations of planes in Space

P. 459  #1,3,4,6-8,11,13,ab

 

Lesson Handout:

Equations of Plane in Space

Geometric Sequence

LG: We are going to learn the geometric sequence and some of their applications

Flip the classroom file:

Geometric Sequences

P.392 #1,2bcefh,3-4,5bcdf,6-9,11,14-20

Geometric Sequences (PPS)

 

Lesson Handout:

Geometric Sequences

 

McGraw Hill – Mathematics 11

HW:  P. 453 #8, 11, 14 ,15,20

P. 461 #1-12  

Applications of Trig Ratios 2

LG: We are going to continue to apply the trig ratios to do word problems

P. 509 #3 – 13

 

Lesson Handout:

Applications of Trigonometric Ratios 2

 

Quiz 11

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Applications of Trigonometric Ratios 2(PPS)

May 25

(Fri)

Equations of lines in Space

LG: We are going to be introduced the equations of lines in Space

P. 449  #1aced,3-6,9,10bd,11,13

 

 

Lesson Handout:

Equations of Lines in Space

 

Recursive formula

Flip the classroom file:

Recursion formulas

Recursion and Explicit Formulas (PPS)

 

Lesson Handout:

Recursion and Explicit Formulas

P. 370 1acd,2ace,3,4-14,16,18

 

McGraw Hill – Mathematics 11

HW:  P. 443 #12,15,23,24,36,

 

Applications of Trig Ratios 1

LG: We are going to apply the trig ratios to do word problems

WS:  Applications of Trig Ratios

 

Lesson Handout:

Applications of Trigonometric Ratios

 

Applications of Trigonometric Ratios(PPS)

May 24

(Thu)

Scalar Equation of lines in Plane

LG:  We are going to be introduced the equation of scalar equation of lines in plane

P. 443 #1,3,5-11

 

 

Lesson Handout:

Scalar Equation of Lines in Plane

Scalar Equation of Lines in Plane (Soln)

 

 

Test 3

Related image

Flip the classroom file:

Arithmetic Sequence

LG:  We are going to learn the definition of Sequence & rules for arithmetic sequences

P. 385 1-12

Arithmetic Sequences (PPS)

 

Lesson Handout:

Arithmetic Sequences

 

Solving Right Triangles

LG: We are going to apply SOHCAHTOA to find all the unknown sides and angles

P. 500 #8,10,17,24,26

 

Lesson Handout:

Solving Right Triangles

 

Solving Right Triangles(PPS)

May 23

(Wed)

Chapter 8

Equation of lines in Plane

LG:  We are going to be introduced the equation of lines in plane

P. 434 #1-3,6-7,9,10

 

 

Lesson Handout:

Equations of Lines in Plane

Equations of Lines in Plane (Soln)

 

Quiz 7

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Sequences & Arithmetic Sequence

LG:  We are going to learn the definition of Sequence & rules for arithmetic sequences

Flip the classroom file:

P. 360 1l,2bcf,3-6,8,13,15-18,21

Introduction to Sequences

Introduction to Sequences (PPS)

 

Lesson Handout:

Introduction to Sequences

 

McGraw Hill – Mathematics 11

HW:  P. 433 #2,4

P. 442 #6,7,8 (Every other),9

 

Slope and Angle of Elevation and Depression

LG: We are going to be apply trigonometry to deal with tangent problems

P. 485 #2, 4 -7

P. 498 #14,15,23,29,30

 

Lesson Handout:

Slope and Angle of Elevation and Depression

 

Slope and Angle of Elevation & Depression(PPS)

Quiz 10

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May 22

(Tue)

Review Ch 6

P. 344 #2-7,9-13,15,16a,20,22,23

Review Ch 7

P. 418 #1,2,4-10,12-16,18,20-25,30,32,37

 

 

Trig Review

P. 344 #1-6, 9

Trig review

WS: Trig review

 

 

 

Introduction to Trigonometry  (Continue)

LG: We are going to be introduced to the tangent trig ratio through investigations.

P. 496 #4 – 6

WS: Introduction to Trigonometry

Test 4 return

 

Lesson Handout:

Introduction to Trigonometry

 

Introduction to Trigonometry(PPS)

 

 

May 21

Victoria Day

(No School)

(Mon)

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A great attitude becomes a great day which becomes a great month

which becomes a great year which becomes a great life.

Mandy Hale

May 18

(Fri)

Applications of Dot and Cross Product

LG: We are going to apply the Dot and Cross products for applications

P. 414 #1,2a,3,5b,7a,8,9

 

Lesson Handout:

Applications of Dot and Cross Product

Applications of Dot and Cross Product (soln)

 

Applications of Periodic Functions

LG: We are going to continue to apply the periodic functions concepts to trig applications

WS:  Applications of Periodic Functions 

P. 310 #10,14,16

P. 328 #3,4,6,8

P. 337 #1,4,5,16 

Work Period

Intro to Flip the classroom concept!

 

McGraw Hill – Mathematics 11

HW: P. 361 #6-8,10

       P. 388 #12,13,14,15 

 

Lesson Handout:

Applications of Periodic functions

 

Test 4 – Quadratic Models

Related image

May 17

(Thu)

Cross Product of Vectors

LG: We are going to learn Cross products of two vectors

P. 407 #3,4abc,5,7,8b,11

 

Lesson Handout:

Cross Product of Vectors

Cross Product of Vectors (soln)

 

 

Solving Trig Equations 2

LG: We are going to learn how to use the identities to solve Trig equations.

WS: Trig Equations 2

 

Lesson Handout:

Solving Trig Equations 2

 

Quiz 11

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Introduction to Trigonometry  (Start)

LG: We are going to be introduced to the tangent trig ratio through investigations.

P. 496 #4 – 6

WS: Introduction to Trigonometry

Test 4 return

 

Lesson Handout:

Introduction to Trigonometry

 

Introduction to Trigonometry(PPS)

 

 

Review for Test

May 16

(Wed)

Scalar and Vector Projections

LG: We are going to apply the Dot product concepts to do some projection problems

P. 398 #1,5-8,11,12,14,15ab

 

Lesson Handout:

Scalar and Vector Projections

 

Solving Trig Equations 1

LG: We are going to learn how to use the identities to solve Trig equations.

WS: Trig Equations 1

 

Lesson Handout:

Solving Trig Equations 1

 

 

Modelling with Similar Triangles

LG: We are going to learn how to apply the similar triangle concepts toward problem solving questions.

WS:  Modelling with Similar Triangles

P. 462 #5-7

Lesson Handout:

Modelling with Similar Triangle

 

Modelling with Similar Triangle(PPS)

 

May 15

(Tue)

Dot Product of Vectors

LG: We are going to learn how to learn the dot product of vectors and how to use it to do some word problems.

P.377 #6,7,8,9,12,13,17

P.385 #2,4,6,7,10,11,13,16,17

 

Lesson Handout:

Dot Product of Vectors

 

Good Luck to the AP Exam

“Switch with Solving Eqn” Name that Trig Functions (Negative K)

LG: We are going to apply the periodic functions concepts to name the trig graphs

WS:  Transformation of Trig functions (Negative K)

 

Lesson Handout:

Graphing Trig Functions 2 (Negative k)

 

Congruent and Similar Triangles

LG: We are going to review the angles and parallel lines properties and then learn the characteristics of congruent and similar triangles.

WS:  Congruent and Similar Triangles

P. 462 #5-7

Lesson Handout:

Similar Triangle

 

Similar Triangle(PPS)

Quiz 9 return

 

May 14

(Mon)

Vectors as Forces P3-4

LG:  We are going to apply the vector concepts for applications that involve with forces, tensions.

P. 362 #3,5,6,8,10-17

 

Graphing Trig Functions 2

LG: We are going to learn how to sketch trig functions using the AKPQ concepts

P. 318 #5-7,14,16

McGraw Hill – Mathematics 11

HW: P. 387 #4,7,10,11

 

Lesson Handout:

Graphing Trig Functions 2

 

Graphing Trig Functions (Negative K)(PPS)

 

 

Unit 5: Trigonometry

Geometry Review

LG: We are going to review the angles and parallel lines properties

WS:  Geometry Review

P. 448 #1, 2, 6, 7

 

Unit Outline:

Unit 5 Outline and Lesson Plan

 

Lesson Handout:

Geometry review and Preview

 

Geometry review and Preview (PPS)

Quiz 9

 

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You learn something every day if you pay attention.

Ray LeBlond

May 11

(Fri)

Vectors as Forces P1-2

LG:  We are going to apply the vector concepts for applications that involve with forces, tensions.

P. 362 #3,5,6,8,10-17

 

Lesson Handout:

Velocity as Forces

 

Chapter 4 Review

P. 276 – P.277

 

Unit 4 Review

P. 406  #26,29

P. 416 #8ac

P. 428 #18

P. 429 #1-12

 

Review

CP: Quadratic Functions

 

Lesson Handout:

Quadratic Review

May 10

(Thu)

Velocity as a Vectors

LG: We are going to apply the vector concepts to do velocity problems

P. 369 #1-12 

 

Lesson Handout:

Velocity as Vector

 

Graphing Trig Functions

LG: We are going to learn how to sketch trig functions using the AKPQ concepts

WS:  Transformations of Trig Functions (a,k,p,q)

 

Lesson Handout:

Graphing Trig Functions

Quiz 10

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Graphing Trig Functions (AKPQ) (PPS)

 

 

Discriminants of Quadratic Equations and Relations

LG: We are going to learn how to determine the quantity of roots in the quadratic relations by using the discriminant rule.

CP: Discriminants of Quadratic Equations and Relations

p. 403 #5

 

Lesson Handout:

Discriminants of Quadratic Functions & Equations

 

 

Discriminants of Quadratics 2(PPS)

 

Quiz 8 return

 

May 9

(Wed)

Multiplication of vector by a scalar

LG:  We are going to be introduced the vector laws and the scalar multiple of the geometric vectors

P. 291 #9,11

P. 299 #2bd,4cde,5,6bde,13-15,21

Lesson Handout:

Multiplication of Vector by a Scalar

 

Linear Combinations of Vectors

LG: We are going to learn how to apply the vector concepts to do linear combinations

P. 341 #2,7,9-13,16

 

Lesson Handout:

Linear Combinations of Vectors

Linear Combinations of Vectors (Soln)

 

Linear Dependence and Independence of Vectors

LG: We are going to learn how to determine the independence and dependence of vectors

6.2 selected questions

Lesson Handout:

Linear Dependence and Independence of Vectors

Linear Dependence and Independence of Vectors (Soln)

 

 

Amplitude and Period

LG: We are going to learn how to determine the amplitude and period to sketch trig functions

WS:  Sketching Trig Functions

Graphing Trig Functions1

P. 299 #1

 

McGraw Hill – Mathematics 11

HW: P. 375 #1-3 (Convert pi to 180 degress)

 

Lesson Handout:

Amplitude and Period

 

 

Graphing Trig Functions (Amp & Period) (PPS)

 

Optimization problems – Day 2

LG: We are going to learn how to determine the optimum values using the techniques we learned in the unit.

HW:  P. 355 #21,22

        P. 391 #11-18, 20, 23

 

 

 

Lesson Handout:

Optimization Problems (More)

 

Optimization Problems (More)(PPS)

 

 

 

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

Quiz 8

 

May 8

(Tue)

Algebraic Vectors in 2D & 3D

LG:  We are going to be introduced the algebraic vector, their laws and how to sketch them in space.

P. 317 #5,9,10ade,16adf

P. 324 #2,4,6,7,8

Lesson Handout:

Algebraic Vectors in 2D & 3D

 

Operations of Algebraic Vectors LG:  We are going to be introduced the operations of the algebraic vector

P. 324 #1,5,9,10,12-14

P. 332 #4,6,7,10,12,14

 

Lesson Handout:

Operations of Algebraic Vectors

 

Unit 5: Trigonometric Functions

Introduction to Periodic Functions

LG: We are going to learn periodic functions and the basic trig graphs and features

WS: Introduction to Periodic Functions

P. 290 #1-4,6,8-10,14

 

Lesson Handout:

Intro to Periodic Functions

 

McGraw Hill – Mathematics 11

HW: P. 355 #1-6, 8

 

Optimization problems – Day 1

LG: We are going to learn how to determine the optimum values using the techniques we learned in the unit.

CP: Optimization problems

 

Lesson Handout:

Optimization Problems

 

Optimization Problems(PPS

Optimization Problems 2(PPS)

 

 

May 7

(Mon)

VECTORS

An intro to vectors

LG:  We are going to be introduced vectors and some of their notations

P. 279 #1,4-8,10,11

Lesson Handout:

An Intro to Vectors

 

Vectors Laws

LG: We are going to learn various laws related to vectors and apply to some related questions with the trigonometric concepts.

P. 290 #1-7,12,15

Lesson Handout:

Vectors Laws

 

Properties of vectors

LG:  We are going to learn the properties of vectors and apply them to some related questions.

P. 306 #5-10,12

Lesson Handout:

Properties of Vectors

 

Trig Identities 2

LG: We are going to learn how to prove the trig identities using the trig formulas

WS:  Trig Identities (All)

P. 273 #1-8

 

Lesson Handout:

Trig Identities 2

 

Quadratic Formula

LG: We are going to learn how to solve quadratic equations by quadratic formula.

P403  #3-6, 8, 9, 11, 14, 17, 20, 24

 

Lesson Handout:

Quadratic Formula

 

Quadratic Formula(PPS)

 

May 4

PA Day

(Fri)

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Image result for holiday no school cartoon

Image result for holiday no school cartoon

May 3

(Thu)

AP (BC Lesson) 10.2 Vectors in the plane

LG:   We are going to talk about the geometric and component vectors concepts and relate them to the calculus with the derivative and integration concepts.

P. 545 #1-41

 

Lesson Handout:

Vectors in the Plane

Vectors in the Plane (Soln)

 

Trig Identities 1

LG: We are going to learn how to prove the trig identities using the trig formulas

WS:  Trig Identities (All)

 

Lesson Handout:

Trig Identities 1

Chapter 4 Review for Test

P. 276 – P.277

McGraw Hill – Mathematics 11

HW: P. 313 #1-19

 

Word period

May 2

(Wed)

 AP Prep work period

Applications of Sine and Cosine 3D

LG: We are going to focus on Sine law and Cosine laws applications in 3D problems

WS: Trig 3D: #1-7

McGraw Hill – Mathematics 11

HW: P.308 #7,8  P. 334 #1-4

 

Lesson Handout:

Applications of Sine and Cosine (3D)

Quiz 9 return

Perfect Square Trinomials and Completing The Square

LG: We are going to introduce the complete the squares techniques

P390 #1, 2, 4, 5, 6, 8, 9

 

Lesson Handout:

Perfect Square Trinomials and Completing the Square

 

Perfect Square Trinomials and Completing the Square (PPS)

 

May 1

(Tue)

AP (BC Lesson) 10.3 Polar Functions

LG:   We are going to be introduced the polar and the rectangular coordinate systems. Some of their applications will be discussed as well.

P. 557 #1-57

 

Lesson Handout:

Polar Functions

Polar Functions (Soln)

 

Ambiguous case

LG: We are going to learn how to solve a SSA triangle but differentiate number of possibilities in the triangle.

Ambiguous case

McGraw Hill – Mathematics 11

HW: P.308 #2, 4

Quiz 9

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Lesson Handout:

Ambiguous Case

 

Quadratic Relation in Vertex form (Transformations 2)

LG: We are going to introduce the transformations of quadratic relations

Graphing Quadratic Relation in Vertex form

Test 3 return

 

Lesson Handout:

Graphing Quadratic Relation in Vertex Form

Apr 30

(Mon)

AP Prep work period

Coterminal Angles and Related Acute angles 3

LG: We are going to learn how to apply the related acute rules (Radians)

 

Lesson Handout:

Coterminal and Related angles in Radian

 

HW: Questions on the work sheets

 

Quadratic Relation in Vertex form (Transformations)

LG: We are going to introduce the transformations of quadratic relations

P. 365 #7-9,12,13,16

 

Lesson Handout:

Quadratic Relation in Vertex Form (Transformations)

 

Quadratic Relation in Vertex Form (Transformations)(PPS)

 

Apr 27

(Fri)

AP (BC Lesson) 10.1 Parametric Functions

LG:   We are going to talk about the Parametric functions and some of its related applications.  Also relate it to Calculus and Vectors.

P. 535 #1-44

 

Lesson Handout:

Parametric Functions

Parametric Functions (Soln)

 

Coterminal Angles and Related Acute angles 2

LG: We are going to learn how to apply the related acute rules to do some word problems

HW:  Coterminal and Related angles 2

P. 238 #6, 9 – 12

 

Lesson Handout:

Coterminal Angles and Related Acute Angles 2

 

 

Test 3 – Algebra and Quadratic Models

Related image

 

Apr 26

(Thu)

AP Prep work period

Coterminal Angles and Related Acute angles

LG: We are going to learn how to apply the related acute rules and the coterminal rules to rewrite to an acute angle and then evaluate.

HW:  Coterminal and Related angles

P. 237 #3, 7, 8

 

Lesson Handout:

Coterminal Angles and Related Acute Angles

Quadratic Relation in Vertex form (Vertical stretches)

LG: We are going to introduce the quadratic functions and the vertical stretches

CP:  Quadratic Relation in Vertex form (Vertical stretches

P. 364 #1 -  4

 

Lesson Handout:

Quadratic Relation in Vertex Form (Vertical Stretches)

Review Work Period

 

Quadratic Relation in Vertex Form (Vertical Stretch)(PPS)

Apr 25

(Wed)

AP (BC Lesson) 9.5 Testing Convergence at Endpoints

LG:   We are going to be explore about how to determine whether the series is diverge or converge, a few more techniques will be introduced in this sections. 

P.523 #7-22

Applications of Sine and Cosine (2D)

LG: We are going to focus on Sine law and Cosine laws applications

WS:  Applications of Sine & Cos Laws

P. 255 #3,4,5,7,8,9

 

McGraw Hill – Mathematics 11

HW: P.291 #3,4,6,9,11,12,15

 

Lesson Handout:

Applications of Sine and Cosine (2D)

 

 

Review Work Period (Day 2)

Review for Test

Review Algebra

P326 #4odd, 9odd, 11odd, 13, 14odd, 16—20

Unit 3 Review

Quiz 7 return

 

 

Apr 24

(Tue)

AP (BC Lesson) 9.4 Radius of Convergence

LG:   We are going to be explore about how to determine whether the series is diverge or converge, a few more techniques will be introduced in this sections. 

P.511 #7-43

 

Lesson Handout:

Radius of Convergence

Radius of Convergence (Soln)

 

Radian Measures

Radian Measures and Revisit the handouts in radians.

McGraw Hill – Mathematics 11

HW: P.334 #1-11

Redo Coterminal Angles in Radians

 

Lesson Handout:

Radian Measures

 

Quiz 8 return

 

Unit 4: Quadratic Relations

Quadratic Relation in Vertex form (Translations)

LG: We are going to introduce the quadratic functions and the translation.

CP:  Quadratic Relation in Vertex form (Translations)

 

Unit Outline:

Unit 4 Outline and Lesson Plan

 

Lesson Handout:

Quadratic Relation in Vertex Form (Translations)