Mr.Timmerman

Homework – Fall 2018

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RHHS Math Dept      RHHS School Page

Extra Practice Sheets

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Work description is in blue.

Handouts given out in class are in green.

If they are underlined, then click to view the file.

Test and quiz announcements are in red.

Handouts posted on this website are in Adobe Reader  ".pdf" format.

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CLASSES:

Period 1                                                       Grade 10 Gifted/Enriched - MPM2DG-02

Period 3                                                         Advanced Functions – MHF4U1 - 08

Period 5                                                            Grade 10 Gifted/Enriched -  MPM2DG - 01

UPCOMING TESTS:

 Quiz: Thursday, Jan 10

Here is the error sheet (so far). Assignment: Tuesday, Jan 8; Test: Thursday, Jan 10

Quiz: Thursday, Jan 10

Fri. Jan 18

·     Took up some homework. See this.

·     Problem Solving with Sine/Cosine Law

·     More Problem Solving – handout

·     HW: a reasonable sample from class handouts; see this as well.

·     Please see this and that.

·     Function of a Function – Composition of Functions.

·     Examples (including composition with inverse functions)

·     HW: p.447 #1, 2, 4, 8, 9, 11, 14, 16, 17, 19, 21

·     Took up some homework. See this.

·     Problem Solving with Sine/Cosine Law

·     More Problem Solving – handout

·     HW: a reasonable sample from class handouts; see this as well.

·     Please see this and that.

Thur. Jan 17

·     Took up number 3 from PS sheet

·     Took up some HW

·     Practice – Cosine Law

·     When to Use Sine Law/Cosine Law

·     PS with Sine Law/Cosine Law

·     HW: a reasonable sample from class handouts

·     Graphing Products of Functions

·     Quotients of Functions.

·     HW: p.436 #5 – 7, 10 – 12, 20 b

·     Took up number 3 from PS sheet

·     Took up some HW

·     Practice – Cosine Law

·     When to Use Sine Law/Cosine Law

·     PS with Sine Law/Cosine Law

·     HW: a reasonable sample from class handouts

Wed. Jan 16

·     Pythagorean Identity and Angles

·     The Cosine Law – see note here.

·     Tasks assigned

·     HW: a reasonable sample from class handouts

·     The Product of Two Functions and Symmetry of the Combined Function

·     Domain, Sketching Graphs.

·     HW: p.435 #1, 2, 4 – 7, 8, 9, 15-19

·     Pythagorean Identity and Angles

·     The Cosine Law – see note here.

·     Tasks assigned

·     HW: a reasonable sample from class handouts

Tue. Jan 15

·     Review

·     Review

·     RP1, RP2, RP3, RP4, RP5, RP6, RP7, RP8

·     RP9, RP10

·     Review

Mon. Jan 14

·     Solving Oblique Triangles

·     The Sine Law and its Extended Form

·     HW: a reasonable sample from class handouts

·     Unit 6 Continued: Sum/Difference of Functions; Symmetry of Combined Functions

·     HW: p.424 # 1-7, 9, 14,159omit b), 18, 20, 21, 24

·     Solving Oblique Triangles

·     The Sine Law and its Extended Form

·     HW: a reasonable sample from class handouts

Fri. Jan 11

·     Review

·     Review

·     Review

Thur. Jan 10

·     Double Tangent Problems

·     HW: a reasonable sample from class handouts

·     Test – Exponential and Logarithmic Functions.

·     Double Tangent Problems

·     HW: a reasonable sample from class handouts

Wed. Jan 9

·     Slope and Angle – Part 2

·     Practice

·     Problem Solving Handout

·     HW: a reasonable sample from class handouts

·     Started Unit 6

·     Sum/Difference of Functions

·     Review – Logarithms

·     HW: a reasonable sample from class handouts

·     Slope and Angle – Part 2

·     Practice

·     Problem Solving Handout

·     HW: a reasonable sample from class handouts

Tue. Jan 8

·     Applications of Trigonometry – Area of a Triangle and of a Regular Polygon

·     Practice

·     Slope and Angle – Part 1

·     HW: a reasonable sample from class handouts

·     Class Assignment

·     Review

·     HW: a reasonable sample from class handouts

·     Applications of Trigonometry – Area of a Triangle and of a Regular Polygon

·     Practice

·     Slope and Angle – Part 1

·     HW: a reasonable sample from class handouts

Mon. Jan 7

·     Happy New Year!

·     Please see this and then a more complete version. How do we discover values for 0 degrees and 90 degrees?

·     Please review this carefully.

·     Review – exact values of trig.ratios

·     Angles of Elevation and Depression

·     HW: a reasonable sample from class handouts

·     Happy New Year!

·     Please see this, and this and that.

·     Also please try task 1, task 2,   task3.

·     Please work on some exam review.

·     Please see this handout. We solved word problems 4 and 8 today.

·     Problem Solving with Logarithms.

·     Practice: handout and p.414 #1 – 5, 7 – 9, 11, 13, 14

·     Happy New Year!

·     Please see this and then a more complete version. How do we discover values for 0 degrees and 90 degrees?

·     Please review this carefully.

·     Review – exact values of trig.ratios

·     Angles of Elevation and Depression

·     HW: a reasonable sample from class handouts

Fri. Dec 21

·     Mini-Quiz

·     Exact Values of Trig Ratios – Special Triangles

·     Review – Solving Triangles

·     HW: a reasonable sample from class handouts; please work on this, try this and see this.

·     Here is more practice.

·     Mini-Quiz

·     Problem Solving.

·     Applications of Exponential Functions.

·     Please see this

·     Mini-Quiz

·     Exact Values of Trig Ratios – Special Triangles

·     Review – Solving Triangles

·     HW: a reasonable sample from class handouts; please work on this, try this and see this.

·     Here is more practice.

Thur. Dec 20

·     Primary Trigonometric Ratios

·     Solving Right Triangles (RATs)

·     HW: a reasonable sample from class handouts

·     Sketching Logarithmic Functions with Bases other than 10.

·     HW: p.353 #1, 2, 6-12, 22

·     Primary Trigonometric Ratios

·     Solving Right Triangles (RATs)

·     HW: a reasonable sample from class handouts

Wed. Dec 19

·     Literacy Activity

·     Please see this.

·     HW: Task – Proving Pythagorean Theorem With Similar Triangles – see here. Once attempted, please see this.

·     HW: a reasonable sample from class handouts

·     Applications of Logarithms.

·     HW: a reasonable sample from class handouts

·     Literacy Activity

·     Please see this.

·     HW: Task – Proving Pythagorean Theorem With Similar Triangles – see here. Once attempted, please see this.

·     HW: a reasonable sample from class handouts

Tue. Dec18

·     Review/Practice

·     Worksheets

·     HW: a reasonable sample from class handouts

·     Solving Exponential Equations Using Logarithms and Solving Logarithmic Equations

·     Review – Change of Base Formula

·     HW: a reasonable sample from class handouts

·     Review/Practice

·     Worksheets

·     HW: a reasonable sample from class handouts

Mon. Dec 17

·     Took up some HW(Review).

·     Similar Triangles.

·     Proving/Establishing Similarity.

·     Problem Solving with Similar Triangles.

·     HW: a reasonable sample from class handouts; see this.

·     Review – Logarithms.

·     Logarithmic Function being One-to-One.

·     Solving Logarithmic Equations.

·     HW: p.391 #1 – 3, 5, 6, 9, 11a, 13

·     Took up some HW(Review).

·     Similar Triangles.

·     Proving/Establishing Similarity.

·     Problem Solving with Similar Triangles.

·     HW: a reasonable sample from class handouts; see this.

Fri. Dec 14

·     Transformations and Quadratic Relations (Order: SRT)

·     Quiz

·     HW: Review

·     Product and Quotient Laws

·     HW: p.384 # 3 – 7, 9, 10

·     Transformations and Quadratic Relations (Order: SRT)

·     Quiz

·     HW: Review

Thur. Dec 13

·     Constructing a Triangle with a Ruler and Compass

·     Congruent Triangles, Criteria for Congruence and Proving/Establishing

·     Viete’s Theorem Practice

·     HW: a reasonable sample from class handouts

·     Review – Logarithms

·     Power Law

·     Change of Base Formula

·     Examples

·     HW: p.347 #1 – 6, 9, 10, 15, 20; p.375 #2, 3, 8, 15, 16

·     Constructing a Triangle with a Ruler and Compass

·     Congruent Triangles, Criteria for Congruence and Proving/Establishing

·     Viete’s Theorem Practice

·     HW: a reasonable sample from class handouts

Wed. Dec 12

·     Took up some HW.

·     Introduction to Trigonometry

·     Triangle inequality

·     HW: a reasonable sample from class handouts; please see this and that

·     Please see this as well.

·     Review – Logarithms

·     Graph of y = log x

·     Transforming the y = log x Function

·     HW: p.338 #1, 2, 3 – 8, 13bc, 17, 20; Note for 4b) the point (1, 0) should be at ( 0.5, 0) [see error sheet as well]

·     Took up some HW.

·     Introduction to Trigonometry

·     Triangle inequality

·     HW: a reasonable sample from class handouts; please see this and that

·     Please see this as well.

Tue. Dec 11

·     More Max/Min Problems – number 2

·     HW: #3, 4, 5; see number 2 and 4 here

·     Fencing 3 Sides of Rectangle – number 6 and its generalization here.

·     Viete’s Formulas

·     See solution to number 10 here.

·     HW: a reasonable sample from class handouts

·     Please see this and that.

·     Introduction to Logarithms

·     HW: see class notes.

·     More Max/Min Problems – number 2

·     HW: #3, 4, 5; see number 2 and 4 here

·     Fencing 3 Sides of Rectangle – number 6 and its generalization here.

·     Viete’s Formulas

·     See solution to number 10 here.

·     HW: a reasonable sample from class handouts

Mon. Dec 10

·     Please see solutions to a HW task here

·     Quadratic Relations in Factored Form

·     Max/Min Statements – see here.

·     Max/Minimum Problems – number 1

·     HW: a reasonable sample from class handouts

·     Test 4

·     HW: please review class work, catch up on homework.

·     Please see solutions to a HW task here

·     Quadratic Relations in Factored Form

·     Max/Min Statements – see here.

·     Max/Minimum Problems – number 1

·     HW: a reasonable sample from class handouts

Fri. Dec 7

·     Quiz

·     TOV with general quadratic relation

·     Review – Quadratic Equations and Cases (Discriminant and Number and Type of Solutions); Diagrams (X-int)

·     Practice: worksheets

·     HW: a reasonable sample from class handouts

·     Review – General Exponential Function

·     Solving Exponential Equations – see this

·     HW: p.368 #1 – 6; p.375 #1, 4, 6, 7, 10, 11, 14, 20, 21

·     HW: a reasonable sample from class handout.

·     Please see this as well.

 

·     Quiz

·     TOV with general quadratic relation

·     Review – Quadratic Equations and Cases (Discriminant and Number and Type of Solutions); Diagrams (X-int)

·     Practice: worksheets

·     HW: a reasonable sample from class handouts

Thur. Dec 6

·     Quadratic Formula

·     Discriminant and the Number of Solutions – Cases

·     HW: please carefully review class notes and work on this.

·     See this and that.

·     Took up exercises offered before.     Unit 5 started.

·     Graphs of Exponential Functions.

·     HW: a reasonable sample from class handout.

·     Quadratic Formula

·     Discriminant and the Number of Solutions – Cases

·     HW: please carefully review class notes and work on this.

Wed.Dec 5

·     Review

·     HW: a reasonable sample from class handouts

·     Review

·     HW: a reasonable sample from class handouts

·     Review

·     HW: a reasonable sample from class handouts

Tue. Dec 4

·     Solving Quadratic Equations by Completing the Square

·     Sketching a Graph with 5 Key Points

·     HW: a reasonable sample from class handouts

·     Review – ARC, IRC

·     Please review this solution.

·     Try those questions and these as well:

·     P.300 #1 – 12; p.302 #1 – 14

·     HW: Review

·     Solving Quadratic Equations by Completing the Square

·     Sketching a Graph with 5 Key Points

·     HW: a reasonable sample from class handouts

Mon. Dec 3

·     Completing the Square on a Quadratic Relation to get the Vertex Form

·     HW: a reasonable sample from class handouts

·     Average Rate of Change and Instantaneous Rate of Change for Trigonometric Functions.

·     HW: p.296 #1, 2, 3, 6, 7, 10, 11

·     Completing the Square on a Quadratic Relation to get the Vertex Form

·     HW: a reasonable sample from class handouts

Fri. Nov 30

·     Determining the Leading Coefficient

·     Graphing a Quadratic Relation in Vertex Form (handout number 2)

·     HW: a reasonable sample from class handouts; please check with this.

·     Please see this and verify.

·     Please review website entries for last 4 days.

·     Quiz

·     Trigonometric Equations – 3

·     HW: HW: a reasonable sample from class handouts; please review website entries for last 4 days; Ferris Wheel question solution;

·     Textbook work:  p.277 #12 – 14, 15a, 19 – 21; p.268 #4 – 7,10, 11, 13, 15 – 18;   p. 287 # 1, 3, 7, 9 – 19, 22 (mistake);

·     P.289 #23 (here), 24, 26, 28

·     Determining the Leading Coefficient

·     Graphing a Quadratic Relation in Vertex Form (handout number 2)

·     HW: a reasonable sample from class handouts; please check with this.

·     Please see this and verify.

·     Please review website entries for last 4 days.

Thur. Nov 29

·     Exploring the Vertex  Form Continued

·     Please Review this and that.

·     HW: a reasonable sample from class handouts

·     Trigonometric Equations – 2

·     HW: HW: a reasonable sample from class handouts

·     Exploring the Vertex  Form Continued

·     Please Review this and that.

·     HW: a reasonable sample from class handouts

Wed. Nov 28

·     Graphing Basic  Parabola

·     Key Features of the Parabola

·     HW: a reasonable sample from class handouts

·     Graphing Reciprocal Trigonometric Functions Continued.

·     Trigonometric Equations – 1 – see here.

·     HW: HW: a reasonable sample from class handouts

·     Graphing Basic  Parabola

·     Key Features of the Parabola

·     HW: a reasonable sample from class handouts

Tue. Nov 27

·     Quadratic Relations, TOV (tables of values) and Finite (first, second, etc.) Differences.

·     HW: a reasonable sample from class handouts

·     Graphing Reciprocal Trig. Functions

·     HW: a reasonable sample from class handouts

·     Quadratic Relations, TOV (tables of values) and Finite (first, second, etc.) Differences.

·     HW: a reasonable sample from class handouts

Mon. Nov 26

·     Review

·     HW: a reasonable sample from class handouts

·     Review

·     HW: a reasonable sample from class handouts; please see this.

·     Review

·     HW: a reasonable sample from class handouts

Fri. Nov 23

·     PA Day

·     HW: a reasonable sample from class handouts

·     PA Day

·     HW: a reasonable sample from class handouts

·     PA Day

·     HW: a reasonable sample from class handouts

Thur. Nov  22

·     Please see solution to number 2 here – error in answers on worksheet.

·     See a solution to this.

·     Took up a HW question.

·     Applications of Factoring to Number Theory/Problem Solving: Integer Row

·     HW: a reasonable sample from class handouts – word problems, solving equations by factoring, integer row.

·     Please see this and that.

·     Applications of Sinusoidal Functions to Modelling Periodic Phenomena.

·     HW: Textbook: p.258 #12 – 15, 17 – 20 [#18 need to set vs = 0 = hs and there is a mistake in the answers); p.277 #12, 13, 14, 15a, 19 - 21

·     Please see solution to number 2 here – error in answers on worksheet.

·     See a solution to this.

·     Took up a HW question.

·     Applications of Factoring to Number Theory/Problem Solving: Integer Row

·     HW: a reasonable sample from class handouts – word problems, solving equations by factoring, integer row.

Wed. Nov 21

·     Please review the note from before.

·     Solutions to two factoring questions are here. Please see.

·     Solution for a PS question is here.

·     Word Problems with Factorable Quadratic Equations.

·     HW: a reasonable sample from class handouts

·     Finished page 2 of yesterday’s handout.

·     Graphing Sinusoidal Functions in Radians – Guided Practice.

·     HW: work on class handouts; time permitting start p.275 #2 – 4, 8ab, 9ab, 10, 11; finish previous handouts if needed (time permitting).

·     Please review the note from before.

·     Solutions to two factoring questions are here. Please see.

·     Solution for a PS question is here.

·     Word Problems with Factorable Quadratic Equations.

·     HW: a reasonable sample from class handouts

Tue. Nov 20

·     Quiz

·     Solving Quadratic Equations by Factoring with Zero Product Principle

·     HW: a reasonable sample from class handouts

·     Review – Sinusoidal Functions and Graphing; the Tangent Function

·     HW: class handout and p.258 #1, 3, 5, 7, 9-11, 14; see this.

·     Quiz

·     Solving Quadratic Equations by Factoring with Zero Product Principle

·     HW: a reasonable sample from class handouts

Mon. Nov 19

·     Review – Factoring

·     HW: a reasonable sample from class handouts; see this, try that and see this.

·     Test

·     Try this and see the solution after.

·     Review – Factoring

·     HW: a reasonable sample from class handouts; see this, try that and see this.

Fri. Nov 16

·     Practice – Factoring

·     HW: a reasonable sample from class handouts

·     Assignment

·     Review

·     Please see this, this and that.

·     Practice – Factoring

·     HW: a reasonable sample from class handouts

Thur. Nov 15

·     Please review yesterday’s posting.

·     Proving with PSTs.

·     Factoring Incomplete Perfect Squares.

·     Took up some HW.

·     Practice – handout.

·     HW: a reasonable sample from class handouts

·     More Trigonometric Identities and Review – see a solution here.

·     HW: a reasonable sample from class handouts.

·     Please review yesterday’s posting.

·     Proving with PSTs.

·     Factoring Incomplete Perfect Squares.

·     Took up some HW.

·     Practice – handout.

·     HW: a reasonable sample from class handouts

Wed. Nov 14

·     Please review this and that.

·     HW: a reasonable sample from class handouts

·     Once attempted see solutions to numbers 2 and 4 and 8 here.

·     Please review this and that.

·     Please review this and that.

·     HW: a reasonable sample from class handouts

Tue. Nov 13

·     Factoring Practice

·     3-page class handout: there are non-factorable questions on p.1 – number 2f, number 8f

·     HW: a reasonable sample from class handouts

·     Trig Identities – Part 3

·     See this.

·     HW: a reasonable sample from class handout

·     Factoring Practice

·     3-page class handout: there are non-factorable questions on p.1 – number 2f, number 8f

·     HW: a reasonable sample from class handouts

Mon. Nov 12

·     Test 2

·     HW: a reasonable sample from class handouts

·     Trigonometric Identities – 2

·     Solutions to number 6 and 9

·     Took up some HW – see here.

·     HW: a reasonable sample from class handouts

·     Test 2

·     HW: a reasonable sample from class handouts

Fri. Nov 9

·     Problem Solving with Difference of Perfect Squares and PSTs.

·     Sum/Difference of Perfect Cubes

·     See handout here.

·     HW: a reasonable sample from class handouts

·     Quiz

·     Double Angle Identities Practice

·     Intro to Trig Identities

·     HW: finish double angle identities handout and do #1 – 18 from Trig. Identities – 1 handout.

·     Problem Solving with Difference of Perfect Squares and PSTs.

·     Sum/Difference of Perfect Cubes

·     See handout here.

·     HW: a reasonable sample from class handouts

Thur. Nov 8

·     Review – PSTs.

·     Non-Negativity of PSTs.

·     Simple Trinomial PSTs and Completing the Square.

·     Difference of Squares and Parity of Conjugate Binomials

·     Handout – Problem Solving with Difference of Squares

·     HW: a reasonable sample from class handouts; see this, this and that.

·     Review – Compound Angle Identities

·     Double Angle Identities

·     Application – Half Angle Identities

·     See note here(last two pages).

·     HW: p.234 #19, 25

·     Review – PSTs.

·     Non-Negativity of PSTs.

·     Simple Trinomial PSTs and Completing the Square.

·     Difference of Squares and Parity of Conjugate Binomials

·     Handout – Problem Solving with Difference of Squares

·     HW: a reasonable sample from class handouts; see this, this and that

Wed. Nov 7

·     Review  - Difference of Squares

·     Perfect Square Trinomials

·     See those answers.

·     HW: a reasonable sample from class handouts

·     Continued Derivation of Compund Angle Identities

·     Practice – Related Angle Identities and Correlated Angle Identites.

·     HW: p.232 #1-8, 10, 12-15, 20, 21;   

·     Review  - Difference of Squares

·     Perfect Square Trinomials

·     See those answers.

·     HW: a reasonable sample from class handouts

Tue. Nov 6

·     Factoring Non-Simple Trinomials by Decomposition (of Middle Term)

·     Practicing the process – handout.

·     Factoring Difference of Perfect Squares (Remember to common factor first, if possible)

·     HW: a reasonable sample from class handouts

·     Revew – Related Angle Identities and Co-Function Identities.

·     Intro to Compound Angle Identities.

·     HW: finish previous handouts (if needed) and p.226 #22, 24, 25 (pi/12 not a solution), 27, 29;

·     Time permitting: p.218 #16-18, 20

·     Please see this and that.

·     Factoring Non-Simple Trinomials by Decomposition (of Middle Term)

·     Practicing the process – handout.

·     Factoring Difference of Perfect Squares (Remember to common factor first, if possible)

·     HW: a reasonable sample from class handouts

Mon. Nov 5

·     Factoring by Grouping (Regular and Special Grouping)

·     Completing the Grouping

·     Simple Trinomial Factoring

·     HW: a reasonable sample from class handouts

·     Related Acute Angle Identities and Corelated Angles/ Co-function  Practice

·     HW:  finish class handout and (time permitting) start working on p.216 #1 – 10, 13, 15; p.225 #1, 2, 5, 6, 9, 10, 13, 14

·     Factoring by Grouping (Regular and Special Grouping)

·     Completing the Grouping

·     Simple Trinomial Factoring

·     HW: a reasonable sample from class handouts

Fri. Nov 2

·     Common Factor of a Group of Terms

·     Common Factoring – see here.

·     HW: finish class handout.

·     Corelated Angles and Co-function Identities

·     HW: worksheet

·     Common Factor of a Group of Terms

·     Common Factoring – see here.

·     HW: finish class handout.

Thur. Nov 1

·     New Unit – Unit 3 – Algebra and Quadratic Equations.

·     Review – Laws of Exponents

·     Polynomials and Expanding Products of Polynomials

·     HW: a reasonable sample from class handouts

·     Related Acute Angle Identities

·     Examples and usage to evaluate ratios

·     HW: a reasonable sample from class handouts

·     New Unit – Unit 3 – Algebra and Quadratic Equations.

·     Review – Laws of Exponents

·     Polynomials and Expanding Products of Polynomials

·     HW: a reasonable sample from class handouts

Wed. Oct 31

·     Verifying Properties of Geometric Figures

·     Example: Midsegment in Triangle – see general approach here.

·     See this regarding previous work.

·     HW: a reasonable sample from class handouts (today’s/yesterday’s)

·     Test 2

·     HW: a reasonable sample from class handouts

·     Verifying Properties of Geometric Figures

·     Example: Midsegment in Triangle – see general approach here.

·     See this regarding previous work.

·     HW: a reasonable sample from class handouts (today’s/yesterday’s)

Tue. Oct 30

·     Quiz

·     Triangle Centres Continued – see here

·     Problems Involving Triangle Centres

·     HW: a reasonable sample from class handouts (today’s/yesterday’s)

·     Please review this.

·     Time permitting: try those

·     Quiz

·     Triangle Centres Continued – see here

·     Problems Involving Triangle Centres

·     HW: a reasonable sample from class handouts (today’s/yesterday’s)

Mon.Oct  29

·     Problem Solving  - Analytic Geometry

·     HW: a reasonable sample from class handouts and please review this.

·     Please see these.

·     Started New Unit – Trigonometry 1

·     Radians and Angular Velocity

·     HW: p.208 #1 – 11, 14 – 17, 20

·     Please review this as well as class examples of sketching graphs

·     Problem Solving  - Analytic Geometry

·     HW: a reasonable sample from class handouts and please review this.

Fri. Oct 26

·     Applying Analytic Geometry Formulas

·     Regions Involving Circles

·     Medians and the Centroid – see here.

·     HW: a reasonable sample from class handouts

·     Rates of Change – Rational Functions – Discussing Approach to Solutions - here

·     Problem Solving with Rational Functions

·     Review – Rational Functions - see here.

·     HW: finish problem solving questions, work on p. 192 #1 – 5, 7 – 12 (omit 12c), 13, 15, 16; start review posted above

·     Applying Analytic Geometry Formulas

·     Regions Involving Circles

·     Medians and the Centroid – see here.

·     HW: a reasonable sample from class handouts

Thur. Oct 25

·     Distance from a Point to a Line

·     Midpoint Formula Review

·     HW: a reasonable sample from class handouts; see this as well.

·     Rates of Change – Rational Functions.

·     Took up some rational  inequalities.

·     Textbook work: p.185  #4, 5, 13, 16; p.189 #1, 2, 14, 15

·     Distance from a Point to a Line

·     Midpoint Formula Review

·     HW: a reasonable sample from class handouts; see this as well.

Wed. Oct 24

·     Solving Quadratic Equation in Number 3 (see solution below) without Quadratic Formula

·     Expanding a Square of a Binomial

·     HW: a reasonable sample from class handouts

·     Review – Graphing Rational Functions

·     More Solving Rational Inequalities

·     ARC  and IRC and Rational Functions

·     HW: a reasonable sample from class handouts

·     Solving Quadratic Equation in Number 3 (see solution below) without Quadratic Formula

·     Expanding a Square of a Binomial

·     HW: a reasonable sample from class handouts

Tue. Oct 23

·     Problem Solving with Circles (Adding something extra, using P. Theorem)

·     Practice

·     HW: a reasonable sample from class handouts; see here and here.

·     Quiz

·     Graphing Review

·     Solving Rational Inequalities

·     HW: a reasonable sample from class handouts;  see this and that

·     Problem Solving with Circles (Adding something extra, using P. Theorem)

·     Practice

·     HW: a reasonable sample from class handouts; see here and here.

Mon. Oct 22

·     PA Day

·     PA Day

·     PA Day

Fri. Oct 19

·     See this.

·     Review – Circles

·     Equation of a Tangent Line

·     Intercepts – Values and Number

·     Midpoint Formula

·     HW: a reasonable sample from class handouts

·     Oblique Asymptotes

·     Review of Graphing Procedures

·     HW: class handout and p.176 #17 – 19 (answers for 18 should be c);            p.190 #8 - 10

·     See this.

·     Review – Circles

·     Equation of a Tangent Line

·     Intercepts – Values and Number

·     Midpoint Formula

·     HW: a reasonable sample from class handouts

Thur.Oct 18

·     The Distance Formula

·     Example: Distance b/n Two Points.

·     Fixing the Distance – Equation of a Circle Centered at (h, k)

·     Circle – Terminology

·     Finding the Centre of a Circle (POI of perpendicular bisectors of the chords)

·     HW: a reasonable sample from class handouts – yesterday’s and today’s

·     Once attempted – check answers.

·     More Graphing Rational Functions

·     Using the Algorithm

·     Oblique Asymptotes

·     HW: sketch the graphs of functions offered in class.

·     See this.

·     The Distance Formula

·     Example: Distance b/n Two Points.

·     Fixing the Distance – Equation of a Circle Centered at (h, k)

·     Circle – Terminology

·     Finding the Centre of a Circle (POI of perpendicular bisectors of the chords)

·     HW: a reasonable sample from class handouts – yesterday’s and today’s

·     Once attempted – check answers.

Wed. Oct 17

·     Distance from Point to Origin

·     Circles Centres at the Origin

·     4 Quick Points

·     Quiz

·     HW: a reasonable sample from class handout

·     More Rational Functions

·     Asymptotes vs Holes in Graph

·     Algorithm for Curve Sketching Started

·     HW: finish question assigned in class and work on p.174 # 16,  p.190 # 4

·     See answers to class handout here.

·     Distance from Point to Origin

·     Circles Centres at the Origin

·     4 Quick Points

·     Quiz

·     HW: a reasonable sample from class handout

Tue. Oct 16

·     Took up some HW questions.

·     Triangle Centres – terminology – here.

·     Duscussed perpendicular bisector and tangent lines/point of tangency

·     HW: problems offered in class and to work on this note.

·     Rational Functions – Linear over Linear

·     Cases and Key Properties.

·     HW: p.174 #1 – 12, 14

·     Took up some HW questions.

·     Triangle Centres – terminology – here.

·     Duscussed perpendicular bisector and tangent lines/point of tangency

·     HW: problems offered in class and to work on this note.

Mon. Oct 15

·     Took up HW question.

·     Divisor Counting 3

·     Line Segments in  a Triangle.

·     HW: finish class handout , except # 7 on second side.See this and that.

·     Reciprocal of a Quadratic Function – 2

·     Transformations and Reciprocal of a Quadratic Function.

·     See this and that.

·     HW: work through class handouts and start p.165 #3(omit last row),9, 11-14, 16 and 17

·     Took up HW question.

·     Divisor Counting 3

·     Line Segments in  a Triangle.

·     HW: finish class handout , except # 7 on second side.See this and that.

Fri. Oct 12

·     Divisor Counting Continued.

·     Problem Solving – see here.

·     HW: finish previous handout and work on “Divisor Counting  - 2” collection of problems from today’s handout

·     Review: Reciprocal of a Linear Function

·     Reciprocal of a Quadratic Function

·     3 cases: denominator has 2 zeroes, one zero or no zeroes.

·     P.164 #2 – 4, 5ace(omit table), 7, 8adgh

·     Divisor Counting Continued.

·     Problem Solving – see here.

·     HW: finish previous handout and work on “Divisor Counting  - 2” collection of problems from today’s handout

Thur. Oct 11

·     Test 1

·     HW: review class notes for unit 2

·     Introduction to Reciprocal Functions

·     Reciprocal of a Linear Function

·     HW: p.153 #2 – 5,  7 – 10, 13, 15

·     Test 1

·     HW: review class notes for unit 2

Wed. Oct 10

·     Worksheet – LCM/GCD

·     Divisor Counting – Part 1

·     See this and that.

·     Solution to Challenge is here.

·     HW: a reasonable sample from class handout

·     Test 1

·     HW: a reasonable sample from class handout

·     Worksheet – LCM/GCD

·     Divisor Counting – Part 1

·     See this and that.

·     Solution to Challenge is here.

·     HW: a reasonable sample from class handout

Tue. Oct 9

·     LCM/GCD

·     Worksheet – LCM/GCD

·     Worksheet – Word Problems

·     HW: a reasonable sample from class handout; see these questions.

·     Review – Word Problem

·     Review – Rational Expressions

·     Review – RationalEquations

·     HW: a reasonable sample from class handout; see this and that.

·     LCM/GCD

·     Worksheet – LCM/GCD

·     Worksheet – Word Problems

·     HW: a reasonable sample from class handout; see these questions.

Mon. Oct 8

·     Thanksgiving Day!

·     Thanksgiving Day!

·     Thanksgiving Day!

Fri. Oct 5

·     Please keep checking the website!

·     Primes and Composited Continued.

·     Took up some HW questions.

·     HW: finish class handouts and work on these exercises.

·     Please keep checking the website!

·     Review: Polynomial Inequalities, Factoring, etc.

·     HW: Please review/study for the test.

·     Review: Text p. 140 – 141 (omit 10b, 15, 16, 18c); p. 142 – 143 (omit 14, 15)

·     Please keep checking the website!

·     Primes and Composited Continued.

·     Took up some HW questions.

·     HW: finish class handouts and work on these exercises.

Thur. Oct 4

·     Unit Outline discussed.

·     New Unit started: Number Theory and Analytic Geometry.

·     Primes and Composites – see notes.

·     HW: review notes above and work through #1 - 5

·     Review – Solving Polynomial Equations (Substitution/new variable approach)

·     Solving Polynomial Inequalities (Inequality rules, graphing, number line)

·     HW: p.138 #2, 4, 6 bc, 9

·     Unit Outline discussed.

·     New Unit started: Number Theory and Analytic Geometry.

·     Primes and Composites – see notes.

·     HW: review notes above and work through #1 - 5

Wed. Oct 3

·     Review

·     See class handouts

·     Review

·     See class handouts

·     Review

·     See class handouts

Tue. Oct 2

·     Perfect Squares and the Difference of Squares Factorization Pattern.

·     Problem Solving with Linear Systems – Part 2 (handout); Strategies: Wishful Thinking,  Listing Cases, Reframing

·     Took up some HW

·     HW: a reasonable sample from class handout

·     Please see a solution to p.103 – number 19 here.

·     Solving Polynomial Equations by Factoring – examples.

·     Families of Polynomial Functions – Examples

·     HW: p.119 # 1 – 3, 6, 7, 9, 11, 13, 15, 19, 22

·     Perfect Squares and the Difference of Squares Factorization Pattern.

·     Problem Solving with Linear Systems – Part 2 (handout); Strategies: Wishful Thinking,  Listing Cases, Reframing

·     Took up some HW

·     HW: a reasonable sample from class handout

Mon. Oct 1

·     Linear Systems with Literal Coefficients – see notes here

·     Quizzes returned.

·     Problem Solving with Linear Systems – 1 (class handout)

·     HW: a reasonable sample from class handout

·     Quiz

·     Solving Polynomial Equations by Factoring – examples.

·     Using Solving by Factroring to Sketch – see an outlineof solution here.

·     HW: p.110 #3, 4, 7eo, 8eo, 12-15, 18, 20, 20; solution to p.112 – number 24

·     Linear Systems with Literal Coefficients – see notes here

·     Quizzes returned.

·     Problem Solving with Linear Systems – 1 (class handout)

·     HW: a reasonable sample from class handout

Fri. Sept 28

·     Quiz

·     Linear Systems Word Problems: Current and a river type

·     Linear Systems with Literal Coefficients – see notes here

·     HW: a reasonable sample from class handout (from numbers 54 – 65)

·     Factor theorem – Day 2

·     Ratinal Zero Theorem

·     Factoring a Sum/Difference of Cubes

·     HW: p.102 #5, 7, 10, 11, 17-19

·     Quiz

·     Linear Systems Word Problems: Current and a river type

·     Linear Systems with Literal Coefficients – see notes here

·     HW: a reasonable sample from class handout (from numbers 54 – 65)

Thu. Sept  27

·     Warm up: Lattice Points

·     Word Problems: Mechanical Mixtures

·     Word Problems: Chemical Mixtures

·     HW: a reasonable sample from class handout (from numbers 54 – 65)

·     Factor Theorem – Part 1 (a = 1)

·     See a note here.

·     HW: p.102 #1 – 4, 6, 9, 12 – 15, 20, 22

·     See a solution here.

·     Warm up: Lattice Points

·     Word Problems: Mechanical Mixtures

·     Word Problems: Chemical Mixtures

·     HW: a reasonable sample from class handout (from numbers 54 – 65)

Wed. Sept 26

·     Proof for a Number Pattern with Linear Systems

·     Investment Word Problems

·     HW: a reasonable sample from class handout (go back along the 84 problem handout if needed)

·     The Remainder Theorem

·     See some of the notes here.

·     HW: p.91 #7 – 10, 11ab, 12-16, 20-23; see this as well.

 

·     Proof for a Number Pattern with Linear Systems

·     Investment Word Problems

·     HW: a reasonable sample from class handout (go back along the 84 problem handout if needed)

Tue.Sept 25

·     A Patterning Linear Systems Question: solution (-1, 2)

·     Word Problem with Linear Systems

·     HW: questions assigned in class

·     Polynomial Long Division: Long Division Review/terminology, Dividing Polynomials, examples.

·     Practice: handout

·     HW: textbook – p.91 #1, 2, 3aceg, 4 - 6

·     A Patterning Linear Systems Question: solution (-1, 2)

·     Word Problem with Linear Systems

·     HW: questions assigned in class

Mon. Sept 24

·     PA Day

·     PA Day

·     PA Day

Fri. Sept 21

·     Review: Solving Linear Systems by Elimination – example

·     Extension: 3 equations

·     Took up the Challenge Question, Practice Offered

·     Practice: Solving Systems

·     HW: two reasonable samples from class handouts; see this solution.

·     Quiz

·     Instantaneous Rate of Change – Two Methods – Centered Intervals (Patterning) and the Difference Quotient – see example here.

·     HW: p.71 # 1 – 4, 7 – 10,  12

·     Review: Solving Linear Systems by Elimination – example

·     Extension: 3 equations

·     Took up the Challenge Question, Practice Offered

·     Practice: Solving Systems

·     HW: two reasonable samples from class handouts; see this solution.

Thur. Sept 20

·     Solving a Linear Systems by Elimination

·     HW: a reasonable sample from class handout

·     Average Rate of Change – Slope of a Secant (calculation, units)

·     Instantaneous Rate of Change               (4 approaches)(approximations)

·     P.62 #1 – 4, 5ace, 7, 9, 10, 12, 13

·     Solving a Linear Systems by Elimination

·     HW: a reasonable sample from class handout

Wed. Sept 19

·     Review and Problem Solving

·     Handouts: “Review/Preview – 2” and “Shaded Area”

·     HW: a reasonable sample from class handout

·     Review – Various

·     HW: a reasonable sample from class handout

·     Review and Problem Solving

·     Handouts: “Review/Preview – 2” and “Shaded Area”

·     HW: a reasonable sample from class handout

Tue. Sept 18

·     Quiz

·     Solving Linear System by Comparison

·     HW: a reasonable sample from class handout

·     Transformations of Polynomial Functions (Power Functions)

·     HW: p.49 #1 – 7,10, 12, 15

·     Quiz

·     Solving Linear System by Comparison

·     HW: a reasonable sample from class handout

Mon. Sept 17

·     Solving Linear Systems by Substitution

·     See a note here.

·     See another example here.

·     HW: a reasonable sample from class handout

·     A graph of a polynomial function here.

·     Even and Odd Functions.

·     Class handout.

·     HW: p.39 #1, 2, 3 – 7, 8(omit 8c), 12, 13, 14;

·     see solution to p.29 number 14 here   (a preview of coming material)

·     Solving Linear Systems by Substitution

·     See a note here.

·     See another example here.

·     HW: a reasonable sample from class handout

Fri. Sept 14

·     Graphing Straight Lines

·     Introduction to Linear Systems

·     Solving Linear Systems by Graphing

·     Possible Number of Solutions -  please see this note.

·     HW: finish class handouts.

·     Factored Form of a Polynomial Function – see page 1, page 2, page 3.

·     HW: complete the class handout.

·     Graphing Straight Lines

·     Introduction to Linear Systems

·     Solving Linear Systems by Graphing

·     Possible Number of Solutions -  please see this note.

·     HW: finish class handouts.

Thur. Sept 13

·     Review: Linear Relations

·     HW: a reasonable sample from class handout

·     Characteristics of Polynomial Functions – Part 2

·     HW: p.26 #3ii, iii, 7, 8acdef, 11 - 18

·     Review: Linear Relations

·     HW: a reasonable sample from class handout

Wed. Sept 12

·     Problem solving with Geometry and Shaded Area

·     Tactics: Adding Something extra, Complimentary Counting

·     Practice - handout

·     HW: a reasonable sample from class handouts

·     Characteristics of Polynomial Functions – Part 1

·     HW: p.26 #1, 2, 3i, 5, 6

·     Problem solving with Geometry and Shaded Area

·     Tactics: Adding Something extra, Complimentary Counting

·     Practice - handout

·     HW: a reasonable sample from class handouts

Tue. Sept 11

·     More Work Rate Problems

·     Please see this, this, and that.

·     Fractional Equations.

·     HW: a reasonable sample from class handouts

·     Polynomial Expressions/Functions

·     Power Functions – see here.

·     Even/Odd Functions – Simmetry

·     Interval Notation

·     End Behaviour vs Quadrantal Description – the difference

·     class handout – see here and here

·     HW: p.12 #3 - 11, 14 16 - 18

·     More Work Rate Problems

·     Please see this, this, and that.

·     Fractional Equations.

·     HW: a reasonable sample from class handouts

Mon. Sept 10

·     Review/Preview – handout

·     Problem Solving with Fractions – 2

·     See this solution  and that one too.

·     HW: a reasonable sample from class handouts (25 minutes)

·     Review – Factoring

·     HW: a reasonable sample from class handouts as discussed in class.

·     Review/Preview – handout

·     Problem Solving with Fractions – 2

·     See this solution  and that one too.

·     HW: a reasonable sample from class handouts (25 minutes)

Fri. Sept 7

·     Warm Up: Fraction work.

·     Problem Solving with Fractions.

·     Working with Inequalities (Basics)

·     Work Rate Problems(number 1, 5, 6) and idea of time = work/rate

·     HW: number 2, 3, 4 from class worksheet

·     Review – Part 3 (Solving Linear Inequalities, Finite Differences, Transformations, Domain and Range)

·     Practice: worksheet – “Polynomial Expressions and Equations”

·     HW: a reasonable sample from review sheets; please review this.

·     Warm Up: Fraction work.

·     Problem Solving with Fractions.

·     Working with Inequalities (Basics)

·     Work Rate Problems(number 1, 5, 6) and idea of time = work/rate

·     HW: number 2, 3, 4 from class worksheet

Thur. Sept 6

·     Fractions Review  (addition/subtraction, multiplication, cross cancellation, division)

·     Order of operations

·     Problem Solving with Fractions – Intro

·     HW: finish class handout on fractions

·     Review – Factoring

·     Chalenge – see solutions here.

·     HW: a reasonable sample of class handout. See some solutions here and here and here.

·     Fractions Review  (addition/subtraction, multiplication, cross cancellation, division)

·     Order of operations

·     Problem Solving with Fractions – Intro

·     HW: finish class handout on fractions

Wed. Sept 5

·     Course Outline/Expectations

·     Diagnostic Assessment

·     Group Work (building activities)

·     Started fractions review with reducing fractions (equivalent fractions)

·     Course Outline/Expectations

·     Review: Expanding and Factoring (common factoring, difference of squares, simple/non-simple trinomials, grouping, etc)

·     HW: a reasonable sample of class handout

·     Course Outline/Expectations

·     Diagnostic Assessment

·     Group Work (building activities)

Started fractions review with reducing fractions (equivalent fractions)