Richmond Hill High School 


Mr. Choi’s Web Page 

RHHS Math Paths 
MATH EXTRA HELPS 


Room 2026 Monday –
Wednesday 3:40pm – 4:30pm Thursday 7:50am – 8:30am 

MARKS 
Click the icon to email me!! eric.choi@yrdsb.ca Tel: 9058842131 
School Web Site 

(MCR3U, MHF4U, MCV4U, AP Calculus) 


Formulas References ·
Trig Formulas (MCR3U, MHF4U, MCV4U, AP Calculus) ·
More Trig Formulas with Proofs (MHF4U, MCV4U, AP Calculus ) (MHF4U, MCV4U, AP
Calculus) ·
Integrations Rules (AP Calculus) 
Proofs ·
ProofofDerivativerules (MCV4U) ·
Proof of Dot Product (MCV4U) ·
Proof of Cross Product (MCV4U) ·
Proof of Some Reduction
Formulas (AP) 
Extra worksheets Do as you need! ·
Integers and Fractions (All
levels) ·
ReviewReviewReview (All grades) 

Semester 1
(2018  2019) 

CLASSES

Periods 1 & 2 
Period 5 


Grade 10 Academic Math 

Grade
12 

Advanced Functions (Enriched) 
AP
Calculus & Vectors 




My
Office hours: Room 2021 Periods 3 & 4 
·
Unit 1 Materials (PDF) ·
Unit 2 Materials (PDF) ·
Unit 3 Materials (PDF) ·
Unit 4 Materials (PDF) ·
Unit 5 Materials (PDF) ·
Unit 6 Materials (PDF) ·
Exam
Reviews (PDF) 


MPM2D103 
MPM2D104 
MHF4U601 MCV4UE01 

Rooms 
2025 
2008 

Tests and Quizzes dates 
Quest
6: Jan 16: Sine and Cosine Laws Test
5: Jan 9: Similar Triangle and Trigonometry Quiz 11: Dec 19:
Trigonometry (No word problems) Quiz 10: Dec 14:
Geometry to Similar Triangles Test 4: Dec 10: Quadratic Models Quiz
9: Dec 5: Quadratic formulas & Word Problems Quiz
8: Nov 28: Quadratic Upto Completing the squares Test 3: Nov 19: Algebra & Quadratics Quiz
7: Nov 13: Quadratic Relations to word problems Quiz
6: Oct 31: Algebra (Simplify and Factor) Test 2: Oct 17:
Analytical Geometry Quiz 5: Oct 11: Analytical Geometry problems Quiz 4: Oct 3: Up to Centroid Test 1: Sept 28: Linear Systems Quiz 3: Sept 25: Linear systems word
Problems Quiz
2: Sept 20: Solving equations Quiz
1: Sept 13: Day 1 to Slope and Relations 
Test 1 : Jan 22:
(Chapters 1 – 3) Quiz 2: Jan 17: Derivatives Quiz 1: Dec 20: Chapters 1 &
2 (New date) 

EXAM:
Dec 3 & 4 Quiz 7: Nov 28:
Up to Composition of Functions Test
4: Nov 20: Chapter 6 Quiz 6: Nov 15:
Logarithmic Functions Quiz 5: Nov 9:
Exponential Functions Test
3: Nov 5: Chapters 4  5 Quiz 4: Oct 31:
Trig graphs, Equations. Quiz 3: Oct 18:
Trig Rules (Upto double angles formulas) Test
2: Oct 9: Chapter 3 Quiz 2: Oct 2:
Curve Sketching Test
1: Sept 22 Chapters 1  2 ·
Quiz 1: Sept 18: Up to Factor Theorem 

Feb 1 Exam Review Day 
(Fri) 



Jan 31 Exam Review Day 
(Thu) 



Jan 30 
(Wed) 



Jan 29 
(Tue) 



Jan 28 
(Mon) 



Jan 25 
(Fri) 



Jan 24 
(Thu) 



Jan 23 
(Wed) 



Jan 22 
(Tue) 

Test
1: 

Jan 21 
(Mon) 
Exam review V & VI, (Day 5) Test 6
return 
Work Period Study for Test 

Jan 18 
(Fri) 
Exam review III & IV, (Day 3) Final Exam Review (8 pages) 
4.2 Mean Value Theorem P. 202 #113,1538,43 LG:
We are going to learn the Mean value Theorem and an introduction of Antiderivatives Lesson Handout: Quiz 2 return 

Jan 17 
(Thu) 
BINDER
ORGANIZATIONS and Exam Expectations Exam review I & II, (Day 1) P587—588
Cumulative Review Optional
CP169—170 Trigonometry Review 
Quiz 2 

Jan 16 
(Wed) 
Test 6 – Trigonometry 2
(45 minutes) 
Chapter 4 4.1 Extreme Values of Functions P. 193 #230,3541 Cal & Vec
(Optional) P. 169 #1,3,5,7,8
P. 178 #5,79,11,15 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 15 
(Tue) 
Review for test P. 580 –
585 #1 – 12 Trig 2 Review Lesson Handout: 
3.9 Derivative of Exponential & Logarithmic Functions 2 (Logarithmic Differentiations) P.
178 #142, 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 #19,12,13 Lesson Handout: 3.9b
Logarithmic Differentiations 3.9b
Logarithmic Differentiations (Soln) 

Jan 14 
(Mon) 
SSA Triangles Investigations (Optional) LG:
We are going to work on a special case of Sinelaw 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(PPS) Applications of Sine and Cosine 2 LG:
We are going to work on nonright triangles applications Applications of
Sine and Cosine #113 
3.9 Derivative of Exponential & Logarithmic Functions 1 P. 178 #142, 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 
(Fri) 
Applications of Sine and Cosine 1 LG:
We are going to work on nonright triangles applications Applications of
Sine and Cosine #17 P567 #3, 6
– 10, 14 Test 5
return Lesson Handout: Applications
of Sine and Cosine 
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 
(Thu) 
Cosine Law LG:
We are going to be introduced the Cosine law to deal with nonright triangles WS: Cosine Law Sine and Cosine
Law problems P566 #2, 4, 5 Lesson Handout: Cosine
Law(PPS) 
3.7 Implicit Differentiation P. 162 #142 Cal & Vec P. 564 #2,3cd,410,12,13 LG: We are going to learn how to take the derivative
that the function y is not isolated explicitly. Lesson Handout: 

Jan 9 
(Wed) 
Test 5 – Trigonometry 
3.5 Derivatives of Trigonometric Functions P. 146 #136,42,43 P. 153 #132 Cal & Vec P. 256 #15,14 P. 260 #15,8,10,11 LG: We are going to learn the derivative of trig
functions. Lesson Handout: 3.5
Derivatives of Trigonometric Functions Quiz 1 return 

Jan 8 
(Tue) 
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) 
3.6 Chain Rule LG: We are going to learn the derivatives of composite
functions using the chain rule. Cal & Vec P. 105 #1bdef,4,5,717 Lesson Handout: 

Jan 7 
(Mon) 
Unit 6: NonRight Triangles with Trigonometry Sine Law LG:
We are going to be introduced the sine law to deal with nonright triangles WS: Sine Law Unit Outline: Unit
6 Outline and Lesson Plan Lesson Handout: 
3.4 Velocity and Other Rates of change P. 135 #1,3,4,8,9,11,1316,1925,28,29 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 24 – Jan 5 



Dec 21 
(Fri) 
Review Chapter
Review (Course pack) P.515524 All Lesson Handout: 
Work Period Section 3.3 

Dec 20 
(Thu) 
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 1 (Ch1 & 2) 

Dec 19 
(Wed) 
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) Quiz 11 
3.3 Rules of Differentiation P. 124 #141,46,47 Cal & Vec: P. 82
#24,6,7cd,8a,9bef,1014,17a,21,25a(iii) P.90 #1df,5ac,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: 

Dec 18 
(Tue) 
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: 
Chapter 3 3.1 Derivative of a Function 3.2 Differentiability P. 105 #1,3,516,1820,22,24,31,32 P. 114 #126,3135,39 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 
(Mon) 
Period 1 (OSSLT) – Library Practice Booklet 1 Period 2 Work Period (Catch up) 
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, 933 P. 77 #14, P. 94 #14 Cal & Vec: P. 18 #3,6,8b,9c,10b,11,1723 P.29 #4,7,8,1013,15bc,20,22 Lesson Handout: 2.4
Rates of Change and Tangent Lines 

Dec 14 
(Fri) 
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 
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: 2.2 Infinite Discontinuity & Limit at Infinity LG: We are going to learn limits when x is approaching
to the infinities. P. 76 #944,53,54 Lesson Handout: 

Dec 13 
(Thu) 
(Work
period) 
Limits of Trigonometric Functions WS: Limits of Trig. Lesson Handout: 1.6b
Limits of Trigonometric Functions 

Dec 12 
(Wed) 
Introduction to Trigonometry LG: We are going to be introduced to the tangent trig ratio
through investigations. P. 496 #4 – 6 WS: Introduction to Trigonometry Lesson Handout: Introduction
to Trigonometry(PPS) 
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 #730, 3744, 49, 55, 75 Lesson Handout: 2.1
Rate of Changes and Limits 

Dec 11 
(Tue) 
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 #57 Lesson Handout: Modelling
with Similar Triangle Modelling
with Similar Triangle(PPS) 
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 1to1 function. Also we are
going to learn the limits of Trig functions. P. 52 #1 – 22 (Optional) & #2542 WS: Inverse Trig functions Lesson Handout: 1.6
Inverse Trigonometric Functions 

Dec 10 
(Mon) 
Test 4 
1.5 Onetoone Functions LG: We are going to review the properties of logarithmic
functions and learn the definition of OnetoOne function and its inverse. P.44 #1,3,4,7,9,11,13,16,19,20,21,23,27,28, 3342,4648 Lesson Handout: 

Quote of the Week 
miStAkEs are proof that you are TRYING 

Dec 7 
(Fri) 
Unit
4 Review (Repost) P. 406 #26,29 P. 416 #8ac P. 428 #18 P. 429 #112 Review CP: Quadratic Functions Lesson Handout: 
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 #1,3,528 Lesson Handout: 

Dec 6 
(Thu) 
Quiz 9 return 
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 #1,3,528 Lesson Handout: 

Dec 5 
(Wed) 
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 #57 Lesson Handout: Similar
Triangle(PPS) Quiz 9 
AP Calculus Text books AP Calculus Chapter 1 1.2 Functions and Graphs P.19
#8,9,11,12,2730, 33, 39, 41, 46, 47,52,53cd,55,56 1.3 Exponential functions P.26
#3,4,10,12,1319,22,23,25,29,32 

Dec 4 
(Tue) 
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 (PPS) 
MHF4UE Exam Part 2 

Dec 3 
(Mon) 
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) Period 2: (second half) Coop visit! 
MHF4UE Exam Part 1 

Nov 30 
(Fri) 
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 #1118, 20, 23 Lesson Handout: Optimization
Problems (More)(PPS) P. 406 #26,29 P. 416 #8ac P. 428 #18 P. 429 #112 Review CP: Quadratic Functions Quiz 8
return Lesson Handout: 
Exam Review 

Nov 29 
(Thu) 
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: 
Exam Review 

Nov 28 
(Wed) 
Quadratic Formula LG:
We are going to learn how to solve quadratic equations by quadratic formula. P403 #36, 8, 9, 11, 14, 17, 20, 24 Lesson Handout: Quadratic
Formula(PPS) Quiz 8 
Exam Review Quiz 7 

Nov 27 
(Tue) 
Period 1 Work Period (Catch up) Period 2 (OSSLT) – Library Intro & 3 Minilessons 
Inverse
Functions LG:
We are going to learn some of the inverse function concepts and discuss about
some issues related to Inverse functions. Lesson Handout: 

Nov 26 
(Mon) 
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) 
Inequalities
of Comb. Functions LG:
We are going to learn how to apply the inequalities concepts to composite
functions. Lesson Handout: Inequalities
of Combined Functions P.
457 # 14, 7,1012, 16 

Nov 23 
(Fri) 



Nov 22 
(Thu) 
Quadratic Relation in Vertex form (Transformations 2) LG: We are going to introduce the transformations of quadratic
relations Graphing Quadratic Relation in Vertex form Lesson Handout: Graphing
Quadratic Relation in Vertex Form Test 4
return 
Composition
of Functions & Inverse Functions LG:
We are going to learn doing composition of functions algebraically Lesson Handout: Composition
of Functions by Mapping Composition
of Functions by Algebra Test 4
return 

Nov 21 
(Wed) 
Quadratic Relation in Vertex form (Transformations) LG: We are going to introduce the transformations of quadratic
relations P. 365 #79,12,13,16 Lesson Handout: Quadratic
Relation in Vertex Form (Transformations) Quadratic
Relation in Vertex Form (Transformations)(PPS) 
Composition of
Functions (Product & Quotient) LG:
We are going to learn the product and quotient of the Combined functions Lesson Handout: Composition
of Functions (Product & Quotient)
Composition
of Functions (Product & Quotient) Soln 

Nov 20 
(Tue) 
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) Quadratic
Relation in Vertex Form (Vertical Stretch)(PPS) 
Test 4 

Nov 19 
(Mon) 
Test 3 – Algebra and Quadratic Models 
Composition of
Functions (Sum and Diff) LG:
We are going to learn the sum and difference of the Combined functions. Lesson Handout: Composition
of Functions (Sum and Diff) Composition
of Functions (Sum and Diff) Soln Composition
of Trig. Functions (Sum and Diff)
Composition
of Trig. Functions (Sum and Diff) Soln 

Nov 16 
(Fri) 
Review Work
Period (REPOST) Review for Test Review
Algebra P326 #4odd, 9odd, 11odd, 13, 14odd, 16—20 Extra Factoring Practices Lesson Handout: Factoring
NonSimple Trinomials Quiz 7 return 
Solving Absolute
Inequalities LG:
We are going to learn how to solve absolute inequalities. Lesson Handout: Quiz 6 return 

Nov 15 
(Thu) 
Unit 4 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) Quadratic
Relation in Vertex Form (Translations)(PPS) 
Unit 5: Chapter 7 Solving Absolute
Equations LG:
We are going to learn how to solve absolute equation. Lesson Handout: Quiz 6 

Nov 14 Gr 8 Orientation Gr 9 Kids to work Gr 10 OSSLT preparation G 11/12 Pathways 
(Wed) 
OSSLT Preparation for
Grade 10 students 


Nov 13 (Midterm marks submit) 
(Tue) 
Review Work
Period Quiz 7 
Exponential
& Logarithmic Review P. 408 #
15,714,1617 Guidance VISIT
Re: (AP Exams) 

Nov 12 
(Mon) 
Problems involving Quadratics – Day 2 LG: We are going to be introduced problem solving techniques
related to the quadratic relations. P316 #813, 1518 (#18 is not factorable) Lesson Handout: Quadratic
Problems 2(PPS) 
Logarithmic Applications LG:
We are going to learn how to apply the log rules and properties to do
applications P. 353 #14,612,15 P. 405 #1,2,5,7,
9 Review sheet: Exp and Log Lesson Handout: Quiz 5 return 

Nov 9 (Remembrance Assembly) 
(Fri) 
Work Period for word problems (Day
1) Study for quiz 
Solving
Logarithmic Equations LG:
We are going to learn how to solve logarithmic equations using the laws and
properties P. 391
#13,5,6,9,11 Quiz 5 Lesson Handout: 

Nov 8 
(Thu) 
Problems involving Quadratics – Day 1 (height; area; $; others) LG: We are going to be introduced problem solving techniques
related to the quadratic relations. Quadratic
Word Problems P308
#11a, 12ab, 13c, 14c Lesson Handout: Quadratic
Problems 1(PPS) 
Change of Base LG:
We are going to learn how to change the bases for the logarithmic relations Lesson Handout: Natural
Logarithms LG:
We are going to learn the natural logarithms and its properties. Lesson Handout: 

Nov 7 
(Wed) 
Properties of Quadratic Relations LG:
We are going to be continue to introduce the quadratic relations. CP: Graphing
Quadratic Relations by Factoring P. 266
#1,35,7,9 Lesson Handout: Properties
of Quadratic Relations 
Laws of
Logarithms LG:
We are going to learn the Laws of the logarithms P. 347
#16,9,10,15,20 P. 384 #17,9,10 Lesson Handout: Sketching
Logarithmic Functions WS: Sketching Log functions LG:
We are going to learn how to transform logarithmic functions Lesson Handout: Sketching
Logarithmic Functions Test 3
return 

Nov 6 * 
(Tue) 
Introduction to Quadratic Relations (sketching from
table of values) vocab: vertex,
zeros and axis of symmetry LG:
We are going to be continue to introduce the quadratic relations. CP: Introduction
to Quadratic Relation Lesson Handout: Introduction
to Quadratic Relations Introduction
to Quadratic Relations(PPS) 
Introduction to
Logarithms LG:
We are going to learn logarithmic functions and its graphs P. 320 #8,19,20 P. 328
#14,8,10,1315 Lesson Handout: 

Nov 5 
(Mon) 
Finite Differences (to determine linear, quadratic,
including y=2^{x}) Finite Differences Investigation (CP) LG: We are going to be introduced quadratic
relations. P254 #2, 4, 13, 14 Lesson Handout: Finite
Differences (PSS) 
Test 3 

Nov 2 
(Fri) 
Review Work
Period Review for Test Review
Algebra P326 #4odd, 9odd, 11odd, 13, 14odd, 16—20 Extra Factoring Practices Lesson Handout: Factoring
NonSimple Trinomials 
Exponential
Growth and Decay LG:
We are going to learn the exp growth and decay and
how the exponent laws work in the applications Lesson Handout: 

Nov 1 
(Thu) 
Solving Quadratic Equations By
Factoring LG: We are going to be introduced solving
quadratic equations by factoring. CP: Solving Quadratic Equations CP: Solving Quadratics by Factoring P. 281 #15, 7 P. 308 #8, P. 315 #13 Lesson Handout: Solving
Quadratic Equations by Factoring Solving
Quadratic Equations by Factoring (PSS) Quiz 6
return 
Review for Test Lesson Handout: 

Oct 31 
(Wed) 
Work Period Catch up on Factoring Quiz 6 
Solving
Exponential Equations LG:
We are going to learn how to use some of the common algebraic techniques to
solve exponential equations WS: Exponential Questions Exercise Lesson Handout: Quiz 4 

Oct 30 
(Tue) 
Mixed Factoring LG: We are going to work on mixed factoring Some Mixed Factoring Mixed Factoring Factor Like a Pro Lesson Handout: Work period on factoring Lesson Handout: Factoring
by Grouping (Extra) Ans 