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: 905-884-2131 Schoo (MCR3U, MHF4U, MCV4U, AP Calculus) desmos Graphing Tools 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) ·          ·         · 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) 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) Ch. 9 MPM2D1-03 MPM2D1-04 MHF4U6-01 MCV4UE-01 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 #1-13,15-38,43 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 #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: 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 #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: Jan 14 (Mon) 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:   Applications of Sine and Cosine 2 LG: We are going to work on non-right triangles applications Applications of Sine and Cosine #1-13 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: Jan 11 (Fri) 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: 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: Jan 10 (Thu) 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(PPS) 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: Jan 9 (Wed) Test 5 – Trigonometry 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:   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,4,5,7-17   Lesson Handout: Jan 7 (Mon) 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:   Lesson Handout: 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: Dec 24 – Jan 5 Dec 21 (Fri) Review Chapter Review  (Course pack) P.515-524 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: 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:   Quiz 11 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: 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 #1,3,5-16,18-20,22,24,31,32 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: 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, 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: 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:     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 #9-44,53,54   Lesson Handout: Dec 13 (Thu) (Work period) Limits of Trigonometric Functions WS:  Limits of Trig.   Lesson Handout: 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: 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: 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 #5-7 Lesson Handout: 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: Dec 10 (Mon) Test 4 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: Quote of the Week miStAkEs are proof that you are TRYING Dec 7 (Fri) Unit 4 Review  (Re-post) P. 406  #26,29 P. 416 #8ac P. 428 #18 P. 429 #1-12   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  #1,3,5-28   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  #1,3,5-28   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 #5-7 Lesson Handout:   Similar Triangle(PPS) Quiz 9 AP Calculus Text books AP Calculus Chapter 1 1.2   Functions and Graphs P.19 #8,9,11,12,27-30, 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 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:   Lesson Handout: 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:       Period 2: (second half) Co-op 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 #11-18, 20, 23   Lesson Handout:   P. 406  #26,29 P. 416 #8ac P. 428 #18 P. 429 #1-12   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  #3-6, 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 Mini-lessons 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: Inequalities of Comb. Functions LG: We are going to learn how to apply the inequalities concepts to composite functions.   Lesson Handout:   P. 457 # 1-4, 7,10-12, 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: Test 4 return Composition of Functions & Inverse Functions LG: We are going to learn doing composition of functions algebraically   Lesson Handout:   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 #7-9,12,13,16   Lesson Handout:   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: 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: 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: 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: 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 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:   Lesson Handout: 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 # 1-5,7-14,16-17         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 #8-13, 15-18 (#18 is not factorable)   Lesson Handout: Logarithmic Applications LG: We are going to learn how to apply the log rules and properties to do applications P. 353 #1-4,6-12,15 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 #1-3,5,6,9,11 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: 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 #1,3-5,7,9   Lesson Handout: Laws of Logarithms LG: We are going to learn the Laws of the logarithms P. 347 #1-6,9,10,15,20 P. 384 #1-7,9,10   Lesson Handout:   Sketching Logarithmic Functions WS:  Sketching Log functions LG: We are going to learn how to transform logarithmic functions      Lesson Handout:   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 Logarithms LG: We are going to learn logarithmic functions and its graphs P. 320 #8,19,20 P. 328 #1-4,8,10,13-15   Lesson Handout: Nov 5 (Mon) Finite Differences (to determine linear, quadratic, including y=2x) 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: 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 #1-5, 7 P. 308 #8,  P. 315 #1-3   Lesson Handout:   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:   &