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

·         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)

·         Course Outline

·         Textbook Corrections

·         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)

MPM2D1-03

MPM2D1-04

MHF4U6-01

Rooms

2025

Portable 5

Tests and Quizzes dates

Quiz 7:  Nov 9: Quadratic Relations to word problems

Test 3: Nov 5: Algebra

Quiz 6: Oct 26: Algebra (Simplify and Factor)

Test 2: Oct 11:  Analytical Geometry

Quiz 5: Oct 8:  Analytical Geometry problems

Quiz 4: Oct 1:  Up to Circumcenter

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

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 4: Nov 14: Chapter 6

Quiz 6: Nov 9: Logarithmic Functions

Quiz 5: Nov 2: Exponential Functions

Test 3: Oct 29: Chapters 4 - 5

Quiz 4: Oct 25: Trig graphs, Equations.

Quiz 3: Oct 15: Trig Rules (Upto identities)

Test 2: Oct 4: Chapter 3

Quiz 2: Sept 30: Curve Sketching

Test 1: Sept 22 Chapters 1 - 2

Quiz 1: Sept 18: Up to Factor Theorem

 

 

 

 

 

 

 

 

Nov 14

(Wed)

 

Test 4

 Related image

Nov 13

(Tue)

 

Composition of Functions (Sum and Diff)

LG: We are going to learn the sum and difference of the Combined functions.

WS:  Combining two functions: +&-

WS:  Sum and Difference of F by graphs

Nov 12

(Mon)

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)

Quiz 7 return

 

Solving Absolute Inequalities

LG: We are going to learn how to solve absolute inequalities.

WS:  Absolute Equations & Inequalities

Quiz 6 return

Nov 9

(Fri)

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)

 

 

Quadratic Relation in Vertex Form (Translations)(PPS)

 

Quiz 7

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

Unit 5: Chapter 7

Solving Absolute functions

LG: We are going to learn how to solve absolute functions.

WS:  Absolute Equations & Inequalities

Quiz 6

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

Nov 8

(Thu)

Work Period for word problems (Day 1)

 

Review Work Period

Review for Test

Review Algebra

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

 

Exponential & Logarithmic Review

P. 408 # 1-5,7-14,16-17

WS: Solving Logarithmic Exercise

WS: Log application review (All)  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

Nov 7

(Wed)

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:

Quadratics Problems 2

 

Quadratic Problems 2(PPS)

 

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

WS:

Nov 6 *

(Tue)

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:

Quadratics Problems 1

 

Quadratic Problems 1(PPS)

 

Change of Base

LG: We are going to learn how to change the bases for the logarithmic relations

WS:  Change of Base

 

Nov 5

(Mon)

Test 3 – Algebra and Quadratic Models

Related image

 

Natural Logarithms

LG: We are going to learn the natural logarithms and its properties.

WS: Natural Logarithms

Quiz 5 return

Nov 2

(Fri)

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:

Properties of Quadratic Relations

 

Properties of Quadratic Relations(PPS)

 

Sketching Logarithmic Functions

WS:  Sketching Log functions

LG: We are going to learn how to transform logarithmic functions 

Quiz 5

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

Nov 1

(Thu)

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)

 

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

Oct 31

(Wed)

Review Work Period

Review for Test

Review Algebra

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

Unit 3 Review

Extra Factoring Practices

 

Lesson Handout:

Factoring Practice

Factoring Simple Trinomials

Factoring Non-Simple Trinomials

 

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

Test 3 return

Oct 30

(Tue)

Solving Quadratic Equations By Factoring Day 2

LG: We are going to be introduced solving quadratic equations by factoring.

P. 281 #1-5, 7

P. 308 #8, 

P. 315 #1-3

Quiz 6 return

Exponential Growth and Decay

LG: We are going to learn the exp growth and decay and how the exponent laws work in the applications

WS:  section 6.4

Lesson Handout:

Exponential Growth & Decay

 

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:

Solving Exponential Equations

 

 

Oct 29

(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

Finite Differences  (PSS)

 

Test 3

Related image

Oct 26

(Fri)

 

 

Solving Quadratic Equations By Factoring Day 1

LG: We are going to be introduced solving quadratic equations by factoring.

CP: Solving Quadratic Equations

CP: Solving Quadratics by Factoring

 

Lesson Handout:

Solving Quadratic Equations by Factoring

 

Solving Quadratic Equations by Factoring  (PSS)

Quiz 6

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

Review for Test

Lesson Handout:

Unit Review

 

Oct 25

(Thu)

Work Period

Mixed Factoring

LG: We are going to work on mixed factoring

Some Mixed Factoring

Mixed Factoring

Factor Like a Pro

 

Lesson Handout:

Mixed Factoring like a Pro

 

Unit 4: Chapter 6

Investigating Exponential Functions

LG: We are going to learn the characteristics and properties of the exponential functions

P. 318 #1,2,5,6,7,9,11-15

WS:  Exponential Equations from graphs  

 

Lesson Handout:

Investigating Exponential Functions

 

Review and Preview

P. 308 #3,4

LG: We are going to review the concepts of exponent laws

WS:  The Laws of Exponent

Review P. 244 #1-23 & P. 300 all

Quiz 4

Oct 24

(Wed)

Factoring a difference of squares

LG: We are going to be introduced factoring a difference of perfect squares.

CP: Difference of Perfect Squares #1—4

Text: P. 307 #4, 7

 

Lesson Handout:

Factoring Difference of Squares

Factoring Difference of Squares

(PSS)

 

Applications of Trig functions

P. 296 #3,4,6,7

LG: We are going to apply the trig identities concepts to solve Trig  related problems

Review P. 244 #1-23 & P. 300 all

*** Sinx/x=1 ***

(click to see the limit proofs)

 

Lesson Handout:

Application of Trigonometric Functions

 

 

Oct 23

(Tue)

Factoring Non-Simple (Difficult) trinomials (Day 2)

LG: We are going to be introduced factoring non-simple trinomials.

CP:  Factoring Non-Simple Trinomials #1-12

Text: P.307 #5,6

 

Lesson Handout:

Factoring Non-Simple Trinomials day 2 

Factoring Non-Simple Trinomials day 2  (PSS)

 

Solving Trig Equations 2

P. 289 #22-24,26,28

LG: We are going to continue to apply the trig identities concepts to solve trig equations and their related problems

Extra worksheets (Solving Trig Equations 1 & 2) Optional

 

Lesson Handout:

Trigonometric Equations 2

 

Oct 22

(PA Day)

No School

(Mon)

Image result for holiday no school cartoon

Image result for holiday no school cartoon

Oct 19

(Fri)

Work period on factoring

Lesson Handout:

Factoring by Grouping (Extra)

Factoring by Grouping (Extra) Ans

 

Solving Trig Equations 1

LG: We are going to apply the trig identities concepts to solve trig equations and their related problems

P. 287 #1,3,7,9-19,22

 

Lesson Handout:

Trigonometric Equations 1

 

Oct 18

(Thu)

Factoring Non-Simple (Difficult) trinomials,

LG: We are going to be introduced factoring non-simple trinomials.

CP:  Factoring Non-Simple Trinomials #1-12

Text: P.307 #5,6

 

Lesson Handout:

Factoring Non-Simple Trinomials day 1 

Factoring Non-Simple Trinomials day 1  (PSS)

 

Applications of Periodic Functions

LG: We are going to apply the trig. Identities to periodic work problems

WS:  Applications of Periodic functions

P. 258 #12,13,17,18

P. 275 #12-14

 

Lesson Handout:

Applications of Period Functions Radian

 

Oct 17

(Wed)

Factoring simple trinomials,

 LG: We are going to be introduced factoring simple trinomials.

CP:  Factoring Simple Trinomials #6-7

Text: P. 307 #2,3

Work Period

Factoring Trinomials

Transformation of Trig functions

LG: We are going to talk about the graphs of trig and their transformation.

P. 273 #1- 12

 

Lesson Handout:

Trigonometric Graphs Transformation 2

 

Quiz 3 return

Oct 16

(Tue)

Factoring simple trinomials,

 LG: We are going to be introduced factoring simple trinomials.

CP:  Factoring Simple Trinomials #1-5

 

Lesson Handout:

Factoring Simple Trinomials 

Factoring Simple Trinomials  (PPS)

Graphs of Reciprocal Trig Functions

LG: We are going to talk about the graphs of trig and their transformation.

P. 267 #4-7,9,10,13,15,18

Lesson Handout:

Trigonometric Graphs Transformation

 

Oct 15

(Mon)

Common factoring and Factoring by Grouping

LG: We are going to be introduced the common factoring techniques and the factoring by grouping techniques.

CP: Common Factors & Factoring by Grouping

P. 230 #5,6

P. 245 #9

Lesson Handout:

Common Factors & Factoring by Grouping

Common Factors & Factoring by Grouping (PPS)

 

Chapter 5

Graphs of Sine, Cosine and Tangent

P. 258 #1-8,14,15

 

Lesson Handout:

Trigonometric Graphs a&k

 

Quiz 3

Oct 12

(Fri)

Work period on Expanding Polynomials

P. 297 # 1 – 4, 7,17,18

 

Trigonometric Identities

WS:  #26-56 (Even)

Work Period

 LG: We are going to apply the trig formulas to do trig identities problems   

 

Oct 11

(Thu)

Test 2 – Analytic Geometry

Related image

Trigonometric Identities

LG: We are going to continue to apply the trig formulas to do trig identities problems and also begin to talk about the graphs of trig.

WS:  #26-56 (Odd)

 

Lesson Handout:

Trigonometric Identities 2

 

 

Oct 10

(Wed)

Review

CP: Chapter 2 Review

Unit 2 Review

 

Text book Chapter 2 review

P. 206 – 217  #1-23

Trigonometric Identities

LG: We are going to apply the trig formulas to do trig identities problems WS:  #1-25

 

Lesson Handout:

Trigonometric Identities 1

 

Oct 9

(Tue)

Review

CP: Chapter 2 Review

Unit 2 Review

Text book Chapter 2 review

P. 206 – 217  #1-23

 

Product of Binomials and Polynomials

LG: We are going to be introduced the distributive properties.

CP:  Product of Binomials and Polynomials

Quiz 5 return

 

Lesson Handout:

Product of Binomials and Polynomials

Product of Binomials and Polynomials (PPS)

 

Compound Angles (Double angle)

LG: We are going to learn the double angles in radians

P. 232 #1-8,10,12-15,20,21,23,25

 

Lesson Handout:

Double Angle Formulas

Oct 8

(Mon)

Expand and Collect

LG: We are going to review the distributive properties in the algebraic expressions

CP:  Expand and Collect (all)

 

Lesson Handout:

Expand and Collect

Expand and Collect (PPS)

 

 

Quiz 5

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

Compound Angles (Addition & Subtraction)

LG: We are going to learn the addition & subtraction angles in radians

P. 232 #1-8,10,12-15,20,21,23,25

Test 2 return

 

Lesson Handout:

Addition & Subtraction Formulas

Oct 5

(Fri)

Exponent Laws (Negative exponents)

Use patterning to discuss zero and negative exponents

Appendix:  More Exponent Laws (Hardcore!!)

LG: We are going to review more exponent laws

Exponent Laws 3  (odd letters)

P228 #6—9

 

Lesson Handout:

Exponent Laws 2

Exponent Laws 2 (PPS)

 

Review:  Exponent Laws (Work Period)

LG: We are going to review the exponent laws

 

Trigonometric Ratios and Special Angles (Corelated)

WS:  Coterminal (Related & Corelated)

LG: We are going to learn the correlated angles with special angles in radians  

P. 217 #1-13

 

Lesson Handout:

Coterminal and Corelated Angles in Radians

 

Oct 4

(Thu)

UNIT 3: Algebra and Quadratic Models

Review:  Exponent Laws

LG: We are going to review the exponent laws

Exponent Laws

Exponent Laws 1 & 2

Unit Outline:

Unit 3 Outline and Lesson Plan

 

Lesson Handout:

Exponent Laws 1

Exponent Laws 1 (PPS)

 

Test 2

Related image

Oct 3

(Wed)

Unit Review

Chapter 2 Review P. 205 #1 – 23

CP: Chapter 2 Review

Lesson Handout:

Unit 2 Review

Quiz 4 return

 

Trigonometric Ratios and Special Angles (Related)

WS:  Coterminal (Related & Corelated)

LG: We are going to learn the correlated angles with special angles in radians  

P. 217 #1-13

 

Lesson Handout:

Coterminal and Related Angles in Radians

 

Oct 2

(Tue)

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

Binder check

 

Angular Velocity

LG: We are going to be introduced the concepts of angular velocity and its related applications.

WS:  Angular velocity (All)

 

Lesson Handout:

Angular Velocity

 

Oct 1

(Mon)

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)

Quiz 4

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

Unit 3: Chapter 4

Radian Measures  

LG: We are going to be introduced another way to describe an angle (Radian)

P. 208 #1-8, 9-11,14-19,20-22

Lesson Handout:

Radian Measures

Fractions of a Circle

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

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

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)

Test 1 – Linear Systems  

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

Related image 

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)

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)

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

Quiz 3 return

 

Lesson Handout:

The Equation of Circle

 

The Equation of Circle (PPS)

 

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

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

 

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

(PA Day)

No School

(Mon)

 

Image result for holiday no school cartoon

Image result for holiday no school cartoon

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

 

Distance on the Plane (PPS)

 

Quiz 2 return

 

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

 

Properties of Triangle & Quadrilaterals (PPS)

Quiz 2

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

 

 

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

 

 

 

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

 

Word Problems with Linear System 2 (PPS)

 

 

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

 

Word Problems with Linear System 1 (PPS)

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

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

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  

 

 

Creating a System by Equations (PPS)

 

 

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

 

Solving Linear Systems by Elimination (PPS)

 

 

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 Soln

 

 

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

Factor Theorem Extended Soln

 

 

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

 

Solving Linear Systems by Substitution & Comparison (PPS)

 

 

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

 

Solving Linear Systems by Graph (PPS)

 

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 and Linear Relations (PPS)

 

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

 

Quote of the Week

 

Noting is impossible; the word itself says “I’m possible”!!

 

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)

Image result for holiday no school cartoon

Image result for holiday no school cartoon