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MCR3U Winter 2011-2012

Page history last edited by Steve Sweeney 11 years, 6 months ago

MCR3U - Functions (University Preparation)

This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate
their thinking as they solve multi-step problems.

Prerequisite: Principles of Mathematics, Grade 10, Academic, recommend at least 70% in MPM2D to move on to MCR3U

This page will have a daily breakdown of the course. Most recent classes are at the top of the page, while the older classes get pushed to the bottom.

The beginning of each unit will be marked in blue.

Evaluations (e.g., tests, assignments, quizzes) will be marked in red.

Returned evaluations with be marked in purple.

Date	Topic / Lesson	Extra Resources	Assigned Work
J26	Tuesday, June 26 - Final Exam
	Mr. Sweeney's Exam Supervision Schedule (not available for help) revised!	Thursday, June 21, 9am - 12pm Monday, June 25, 9am - 12pm
J19 J18 J15	Summative Assignment Due! Review - Final Exam	Course Review Package	p.165 Ch.1 # 1def, 2cd, 3, 6def, 7 Ch.2 # (2,3,4)(b), 5, 6, 7cde p.323 Ch.3 # 1, 2, 3, 4, 5a, 6bdf Ch.4 # 1, 2, 3, 4ab, 6 p.493 Ch.5 # 3, 4, 5, 6, 8 Ch.6 # 2, 3, 4, 5, 6, 7, 10 p.701 Ch.7 # 1, 2
J14	Test - Finite/Discrete Functions	Review Handout - Discrete Functions & Financial Applications
J13	Mortgages & Equivalent Interest		p.567 # 8, 13 + extra question
J12 J11	Ordinary Annuities		p.531 #7, 8, 9, 10 p.541 #8, 9, 10
J08	Simple & Compound Interest		p.508 # [2-5], 7, 13 p.523 # [2], 6, 7, 10, 15
J07	Arithmetic & Geometric Series		p.469 #2ac, 3ac, 4a, 7a, 20 p.476 #1ac, 2ac, 3ac, 4, 12a, 17
J06	Recursive Sequences		p.461 #[1-5][basics], 8, 9, 10, 12
J05	Arithmetic & Geometric Sequences		p.441 # [1-4][basics], 5-8(adg), 9, 12, 15, 18 p.452 # [1-4][basics], 5-7(adf), 9, 13, 18
J04	Intro to Sequences	see note from last year	Read p.428-432 p.433 #1ace, 2ace, 3bdgk, 5a, 8
	Unit 7 - Finite Functions
J01	Test - Periodic Functions
M31	Review - Periodic Functions	Review Worksheet	submit review on test day
M30	Activity - Modelling Periodic Functions
M29 M28	Applications of Periodic Functions	handout (textbook photocopy) & answers
M25	Practice Test & Solutions
M24	Determining Equations from Graphs		worksheet
M23	Graphing Trigonometric Functions using Properties		p.387 # 1abceh, 2abdeg, 3bd, 5abc, 6ab
M22	Transformations of Trigonometric Functions	Geogebra Applet - Transformations of the Sine Function Geogebra Applet - Transformations of the Cosine Function	p.374 # 2odd, 3odd, 4ab, 5ab, 7a, 8b, 17, 18
M18	Unit Circle Summative Discussion	Learning the Unit Circle
M17	Test 5 - Trigonometry
M16	Review - Trigonometry	Review Handout
M15	Graphs of Trigonometric Functions	Handout
M14	Introduction to Periodic Functions	Handout
	Unit 6 - Periodic Functions
M11	Spare (?) - Work on review or summative	Summative Handout
M10	Quadratic Trigonometric Equations
M09	Linear Trigonometric Equations
M08	Trigonometric Identities Part 2
M07	Trigonometric Identities Part 1	WS 3.3 Trig Identities (solutions)
M04	Review Previous Lessons
M03	Special Triangles & Exact Values
M02	Angles in the Cartesian Plane - CAST Rule	Handout Answers	Handout
M01	Sine Law - Ambiguous Case	Geogebra Applet - Sine Law Ambiguous Case
A30	Trigonometric Ratios of Obtuse Angles
A26	Angles in the Cartesian Plane	Geogebra Applet - Principal & Related Acute Angle	(Handout) p.422 # 3-9 (odd), 11a
A25	Review Trigonometry Word Problems		p.274 # 13, 16, 18, 19 (focus on setting up question & diagrams)
A24	Test - Exponential Functions			47
A23	Review Right-Angle Trigonometry		p.272 # 1-10(odd), 11, 12	46
	Unit 5 - Trigonometry
A20	Review - Day 2			45
A19 A18	Applications 2 - Half-Life and Doubling Time	Handout - Doubling & Half-Life		44
A17	Review - Day 1			43
A16	Applications of Exponential Functions	Handout - Applications of Exponentials		42
A13	Solving Exponential Equations		p.23 # 1 - 11(odd)	41
A12	Rational Exponents	Returned Test - Rational Functions	handout # (1-6)(odd), 8, 10, 12, 14	40
A11	Equations from Key Features & Graphs		exercises at end of handout	39
A10 A05	Transformations of Exponential Functions		finish handout	38
A04	Graphing Exponential Functions		finish handout	36
A03	Activity - Explore Exponential Relationships		Activity # 4, 5	35
A02	Test - Rational Functions			34
M30	Review Exponent Laws			33
	Unit 4 - Exponential Functions
M29	Shortened class for Parent-Teacher Interviews			32
M28	Review - Rational Functions	Review - Rational Functions		31
M27	Applications of Rational Expressions	Returned Test - Functions	see worksheet	30
M26	Order of Operations w/ Rational Expressions		p.68 # 10aceg, 14adf	29
M23	Add & Subtract Rational Expressions		p.58 # 1c, 4c, 5g, 6ac, 10 p.67 # 5c, 6ace, 8ace	28
M22	Multiply & Divide Rational Expressions		p.50 # 5ad, 6adgh, 7ae, 8ab, 18	27
M21 M20	Equivalent Functions & Restrictions		p.40 # 1-3(odd) (fundamentals) # 4-6(odd), 8, 13, 15 # 16	26
	Unit 3 - Rational Functions
M19	Assignment - Functions & Inverses			24
M08	Test - Functions & Relations			23
M07 M06	Review - Functions & Relations	WS - Transformations from Graphs (w/ solutions)		22
M06 M05	Transformations from Graphs	Handout - Transformations from Graphs WS - Transformations from Graphs	complete WS	21
M02	Function Inverses (finish from yesterday) Assessment Quiz - Function & Relations	WS - Transformations of Functions (w Solutions)		19
M01	Function Inverses	Returned Test - Review & Quadratics	p.215 # 1 - 3, 5odd, 11, 13odd	18
F29	Horizontal Reflection & Scaling of Functions		p.240 # 1ef, 2cd, 4dfgh, 5cef, 9cd WS - Horizontal Scaling	17
F28 F27	Transformations of Functions	WS - Transformations of Quadratics WS - Graphing Transformations of Quadratics		16
F23	Radical & Reciprocal Functions	Video Tutorial: Graphing a Radical Function	p.180 # 6 - 10, 18 Worksheet: Function Notation	14
F22	Functions, Domain & Range	Video Tutorial: Is the Relation a Function (given Set)? Video Tutorial: Is the Relation a Function (given Scatter Plot)? What is a function? (covers multiple lessons)	p.178 # 1 3, 5, (6-10)(ad), 15, 18	13
	Unit 2 - Functions
F21	Test - Review & Quadratics			12
F16	Review - Quadratics		WS - Review	11
F14	Families of Quadratics		worksheet # 4 - 7	10
F13	Solving Intersection of Quadratics & Lines		worksheet	9
F10	Solving Quadratic Equations		p.128 # 2odd, 3ace, 4ace, 12ac, 13odd p.130 # 17, 21, 23, 28ab, 29	8
F09	Radicals		p.106 # (1-4)(odd) p.139 # (1-7)(odd)	7
F08	Vertex from Factored Form Practice Quiz - Quadratic Skills		p.115 # 2f, 3bcfgk, 9, 13, 15, 18	6
F07	Completing the Square - Fractions & Decimals		p.115 # 1cegik, 3odd, 7, 14, 16	5
F06	Review - Completing the Square		p.99 # 7(odd), 8(odd), 9(odd)	4
F03	Review - Factoring Quadratics	Factoring Practice (2 sheets, version A, B, with solutions)	p.3 # 4(odd), 5(odd), 6(odd) "odd" = "odd letters" = aceg...	3
F02	Review - Linear Systems & Expanding Binomials		p.29 # 1acf, 2ace p.31 # 8ac, 9ace, 10ae p.33 # 11ace, 12ace, 13ace	2
F01	Welcome to MCR3U Review - Properties of Linear & Quadratic Relations	Gr.10 Quiz - Linear Systems (w/ Answers) Gr.10 Quiz - Properties of Quadratics (w/ Solutions)	Attempt both quizzes	1
	Unit 1 - Review & Quadratics
		Previous Course Notes: Winter 2010-2011

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MCR3U Winter 2011-2012

MCR3U Winter 2011-2012

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