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 – Thursday

3:40pm – 4:30pm

 

MARKS

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Click the icon to email me!!

 

eric.choi@yrdsb.ca

 

Tel: 905-884-2131

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)

Semester 2  (2018 - 2019)

CLASSES  

Periods  1 & 2

Period 5

Grade 10

Academic Math

 

Grade 12

Advanced Functions

(Enriched)

 

My Office hours: Image result for office hours

Room 2021

Periods 3 & 4

·         Course Outline

·         Course Pack (PDF)

·         Course Outline

·         Textbook Corrections

MPM2D1-03

MPM2D1-04

MHF4U6-01

Rooms

2025

Portable 5

Tests and Quizzes dates

Test 1: Sept 28: Linear Systems  (New date)

Quiz 3: Sept 22: Linear systems word Problems

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

Quiz 1: Sept 14: Day 1 to Slope and Relations

Quiz 2: Oct 3: Curve Sketching

Test 1: Sept 22 Chapters 1 - 2

Quiz 1: Sept 18: Up to Factor Theorem

Sept 30

(Tue)

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)

 

Review

Chapter Review from Text book

Quiz 2

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Sept 29

(Mon)

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)

 

 

Making Connections with Rational functions

Rate of change

LG: We are going to learn how to apply the rational concepts to do rate of change problems

WS:  Rate of Change

 

Lesson Handout:

Making Connections with Rational Functions

Sept 28

(Fri)

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)

 

Solving Rational Equations & Inequalities

LG: We are going to learn how to solve rational equations

P. 183 #1,2,4-10,12,13,15

WS:  Solving Rational Equations & Inequalities

 

Lesson Handout:

Solving Rational Equations and Inequalities

 

Sept 27

(Thu)

Test 1 – Linear Systems

Related image 

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

Sketching Rational Functions

WS:  Sketching Rational functions

LG: We are going to apply the techniques to sketch the rational functions

WS: Review of Graphing Rational functions

 

Lesson Handout:

Sketching Rational Functions

 

Sept 26

(Wed)

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

 

Investigate OA

LG: We are going to determine if there is a cross-over or holes in the rational functions and how does it affect the graph. Also being introduced the OA.

WS:  Investigate OA

 

Lesson Handout:

Investigate Oblique Asymptote 

 

Sept 25

(Tue)

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 return

 

 

Investigate Asymptotes

Linear over Linear

LG: We are going to determine the asymptotes and how the asymptotes affect the rational functions

WS:  Investigate Asymptotes    

P. 174 #1-12,14

 

Lesson Handout:

Linear over Linear 

 

Investigate Cross-over, Holes

LG: We are going to determine if there is a cross-over or holes in the rational functions and how does it affect the graph.

WS:  Investigate CO, Holes

 

Lesson Handout:

Investigate Cross-over, Holes 

 

Test 1 return

Sept 24

(PD Day)

No School

(Mon)

 

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Sept 21

(Fri)

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

 

 

Quiz 3

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Test 1

Related image

Sept 20

(Thu)

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

 

 

 

Quiz 2 return

Review 2 P. 140 All

Reviews (Chapter 2)

Worksheets (All)

 

Reciprocal of  Polynomial Functions (Overview)

LG: We are going to determine the key features of the graphs of rational functions that are the reciprocals of polynomial functions.

Worksheets (All)

 

Lesson Handout:

Reciprocal of Polynomial Functions (Overview) 

Sept 19

(Wed)

Work period and take up questions

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

 

Lesson Handout:

Linear Systems Word Problems

 

Quiz 2

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Unit 2: Chapter 3

Reciprocal of a Linear Function

LG: We are going to determine the key features of the graphs of rational functions that are the reciprocals of linear functions and make connections between their algebraic and graphical representations.

P. 153 #1-3,5-10,13

Review 2 P. 140 All

Lesson Handout:

Reciprocal of a Linear Function

 

Reciprocal of a Quadratic Function

LG: We are going to determine the key features of the graphs of rational functions that are the reciprocals of quadratic functions and make connections between their algebraic and graphical representations.

P. 162 #2-4,5ace,6,7,8adgh,9-11

Lesson Handout:

Reciprocal of a Quadratic Function  

 

Sept 18

(Tue)

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

 

 

 

Piecewise Functions and Continuity

LG: We are going to learn piecewise functions and also determine the continuity of the function at certain value.

WS:  Piecewise functions and Continuity of Functions

 

Lesson Handout:

Piecewise functions and Continuity of Functions

 

Reviews/Preview(Chapter 2)

Worksheets (All)

Lesson Handout:

Multiplying & Diving Rational Expressions

Addition & Subtracting Rational Expressions

 

Quiz 1 return

Sept 17

(Mon)

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

 

Quiz 1 return

 

 

Families of Polynomial Functions

LG: We are going to apply existing knowledge  to create the family of the polynomial function.

P. 119 #1-3,6,7,9,11,13,15,19,22

Lesson Handout:

Families of Polynomial Functions

 

Quiz 1

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Sept 14

(Fri)

Creating a System of Equations

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

Diagnostic Test

P51 #7—24

CP: Creating A System of Equations

Lesson Handout:

Creating a System of Equations  

 

 

Solving Polynomial Equations

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

P. 111 #3,4,6-9,11,14

Lesson Handout:

Solving Polynomial Expressions

 

Solving Polynomial Inequalities

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

P. 138 #2,4,6,9,12,13

Review 1:  P. 74 All

Lesson Handout:

Solving Polynomial Inequalities

 

 

Sept 13

(Thu)

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

Quiz 1

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

 

Factor theorem

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

P. 102 #1-4,6,9,10,12-15,20

Lesson Handout:

Factor Theorem

 

Factor theorem Extended

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

P. 102 #5,7,10,11,17-19 

Lesson Handout:

Factor Theorem Extended

 

 

Sept 12

(Wed)

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

 

 

Chapter 2

Divisions of Polynomials & Remainder Theorem

HW: P. 91 #1-9

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

Lesson Handout:

Division of Polynomials & Remainder Theorems

Sept 11

(Tue)

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

 

 

Average rate of change and Instantaneous rate of change

HW: P.62 #9,10,12,13

P. 70 #7-10,12

LG: We are going to learn the average and instantaneous rate of change

Lesson Handout:

Average rate of change and Instantaneous rate of change

 

Sept 10

(Mon)

 

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 of secant & Slope of tangent

HW: P.62 #1-5,7

P. 70 #2,3,5

WS: Slope of Tangent

LG: We are going to learn slope of secant and tangent

Lesson Handout:

Slope of secant & Slope of tangent

 

Slope of Tangent Worksheet

 

Sept 7

(Fri)

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)

Symmetry

HW: P. 39 #3-5,7,8,12,14

Lesson Handout:

Symmetry

 

Transformations of functions

HW: P. 49 #1-7,10,12,15

LG: We are going to learn and review the techniques of transforming functions

Lesson Handout:

Transformations of Functions

 

Sept 6

(Thu)

 

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)

Preview for the unit

HW:  Preview for the unit

 

Characteristics of Polynomial Functions

HW: P.26 #1,2,3i,ii,5,6,7i,ii, 8acdef,11-18

LG: We are going to learn the characteristics of polynomial functions

Lesson Handout:

Characteristics of Polynomial Functions

 

Graphs of Polynomial Functions

HW: Handout: Graphs of Polynomial Functions #1-3

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

Lesson Handout:

Graphs of Polynomial Functions

 

Sept 5

(Wed)

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)

Course Expectations

Essential Skills Review

Review: Polynomials

HW: Product of Polynomials

Factoring Difficult Trinomials

Lesson Handout:

Product of Polynomials

Factoring Difficult Trinomials

 

Unit 1: Chapter 1

Power Functions

HW: P. 12 #3-11,14,16-18

LG: We are going to preview chapter 1 and go thru some of the Power functions concepts

Lesson Handout:

Preview of Unit 1

Power Functions

 

Sept 4

Gr 9 Orientations

(Tue)

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Image result for holiday no school cartoon