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MCR3U

This page is designed for Mrs. Aly & Mr. McDonald's MCR 3U classes (room 356).

Exam Review

Exam is TUESDAY Jan 31st at 9:30 in room 356

Review evidence record for areas to focus on

Review old test and test reviews

Practice Questions (& Answers)

Formula Sheet

Cycle 9

9.1 Quadratics Problems (Note & Handout)

See note/handout for homework & review

Homework Take-up

9.2 Exponential Problems (Handout)

See handout for homework

9.3 Trigonometric Problem Solving (Note & Handout)

See note/handout for homework

9.4 Sinusoidal problem solving (Note)

See note for homework

Cycle 8

8.0 Financial Applications (Note)

Loan Schedule Sample

Practice:

p503 L3: #2, 4-9

p511 L3: #6-10, L4: #12, 14

Cycle 8 Project: Day 1 & Day 2

Cycle 7

7.1 Algebra Review & Equivalence (Note)

Practice:

p89 #7-9
p122 #7,8
p239 #2-4, 8-10

7.2 Review of Trig & Intro to Trig Identities (Handout & Note)

Practice: See last page of handout

7.3 More Trig Identities (Handout & Note)

Practice:

Handout + page 310

L3: #7, 8, 10, 11

L4: #12-14

 

7.4 Arithmetic Series (Note)

Practice p452

L2:#4

L3: #(5-7)ace, 8, 11

L4: #14-16

7.5 Geometric Series (Note)

Practice p459

L2: #1, 2

L3: #(3-6)ace, 9

L4: #8, 15-17

Cycle 7 Review

Cycle 6

6.1 Revisiting Functions (Handout)

Practice: p206-207 #1, 2, 4, 16-19

p408-410 #1-4, 27, 28

+ additional graphing listed on worksheet

6.2 The Inverse Function (Note & Handout)

Practice p46-47

L3: #1, 2abcd, 3, 4, 5df, 6, 7(choose 4 in total), 8 ‐ 10, 12, 13, 15, 16
L4: #11, 17, 19, 20

6.3 Inverse Functions Continued (Note & Handout)

Practice: Complete the worksheet

Cycle 6 Review

Questions

Solutions for some problems

Cycle 5

5.1 Intro to Periodic Functions (Note & Handout)

Practice: p352 – 356

L2: #1-3

L3: #4, 5, 6, 8, 10, 12

L4: #11, 15, 16

5.2 Properties of Sinusoidal Functions (Note & Handout)

Practice: p363

L2: #1, 2

L3: #4, 7-9, 12, 14

L4: #13, 15

5.3 & 5.4 Interpreting Sinusoidal Functions (Note + Activity)

Day 1 Practice p370

L3: #2, 4-13

L4: #15

Day 2 Practice: p377-378

Investigation (Use Desmos to graph)

5.5 Graphing Trig Functions (Note & Handout)

Day 1: Practice p383-385

L2: #2, 3

L3: #4abc, 5, 6abf, 7adef

L4: #10, 12, 13

Day 2: Complete Worksheet

5.6 Determining the equation of a Sinusoidal Function (Note)

Practice:

Complete note & additional worksheet

p391.   L3: #11;   L4: #13 & 14

5.7 Modeling Sinusoidal Functions (Note)

Practice p398

L3:#1-4, 9-11, choose 3 of #5-10

L4: #12, 13, 14(without graphing)

(#14 would be L3 if graphing allowed)

+revisit p393 #14 (L4 from Friday) with new understanding of 'k'

Cycle 5 Review

Cycle 4

4.1 Trig Review & Reciprocal Trig Ratios (Note)

Practice p280

Level 2: #2, 4, 6

Level 3: #5i,iv, 7, 8, 10, 12

Level 4: #18, 19

4.2 Exact Trig Ratios (Note)

Practice p287

Level 2: #3, 4

Level 3: #6-9, 11, 12

Level 4: #13-15

4.3 Trig Ratios for angles between 0 & 360 (Note)

Practice p299 #1-4

4.4 More trig ratios for angles greater than 90 (Note & Handout)

Practice p300

Level 2: #1-5

Level 3: #6-8 (9 extra practice), 10, 12, 14

Level 4: #13, 15-17

4.5 Sine & Cosine Law (Note)

Practice p318

Level 2: #1, 4

Level 3: #3, 5, 7, 8

Level 4: #15

Practice p325

Level 2: #1, 2

Level 3: #5-8

Level 4: #12, 13

4.6 Problem Solving in 3D (Note)

Read p 331 In Summary

Practice p332

L3: #1-5, 7-9, 11

L4: #10, 13, 14, 16

4.7 Ambiguous Case of Sine Law (Note)

Read p317 "Need to Know"

Go back to p318 #2, 3, 5 & add #14

Cycle 4 Review Questions

Solutions to Select Review Questions

Cycle 3

3.1 Investigating Exponential Functions (Handout & Note)

Practice:

Complete sheet

page 242: read summary & page 243 #1, 2

3.2 Transformations of Exponential Functions (Note & Handout)

Homework: Complete the worksheet

3.3 Transformations of Exponential Functions - pt 2 (Note)

Practice: p251

Read "In Summary"

Level 3: #1, (2, 4)+mapping rule, 5, 10

Level 4: #11-13

3.4 Exponential Growth Applications (Note)

Practice: p261

Level 2: #1ac, 2ac

Level 3: #3, 5, 6, 8, 12

Level 4: #17 + "Curious Math"

Minds-On Activity: Connecting Exponential Graphs & Equations (Handout)

3.5 Exponential Decay Applications (Note)

3.6 Arithmetic Sequences (Note)

Practice: p424

Level 2: #1, 3

Level 3: #4, 7, 8, 10, 11, 13odd, 15

Level 4: #14, 17

3.7 Geometric Sequences (Note)

Practice p 430

L2: #1, 2, 4

L3: #3, 5-8, 9ab, 10, 11, 13-16

L4: #18-20, 22

3.8 More Sequences (Note)

Practice: p439

L3: #1-7

L4: #9-11

Cycle 3 Review Questions

Cycle 3 Review Quiz (with solutions)

Cycle 2

2.1 Simplifying Rational Functions (Note & Handout)

Practice p. 113

Level 3: #(1, 2, 4-6)odd, 7, 10-12

Level 4: #15, 16

2.2 Multiplying & Dividing Rational Expressions (Note)

Practice p. 123

Level 3: #(3-7)even, 8, 10

Level 4: #13

2.3 Adding & Subtracting Rational Expressions (Note)

Practice p 128

Level 2: #1, 2, 5

Level 3: #3, 6, 7acef, 8, 9ab

Level 4: #9cd, 12, 15, 16

Extra practice - Adding & Subtracting Rational Expressions

Worksheet 1

Worksheet 2

2.4 Operations with Radicals - (Part 1 Note.  Part 2 Note)

Practice page 167

Level 2: #1-4

Level 3: #5-7, 9, 12, 14

Level 4: #13, 15-17

2.5 Working with Integer Exponents (Note)

Practice page 221

Level 2: #(1, 2)b,d,f, 3

Level 3: #(4-8)b,d,f, 10, 11, 13

Level 4: #16-18

2.6 Working with Rational Exponents (Note)

Practice page 229

Level 2: #1, 3

Level 3: #2, 4acd, 5def, 6, 8-10

Level 4: #14, 18

2.7 Simplifying Algebraic Expressions involving Exponents (Note)

Practice page 236

Level 3: #4, (5-9)odd, 14

Level 4: #10, 15

Cycle 2 Review Questions

​​Cycle 1

1.1 - Characteristics of Functions (Note)

Practice: page 10 #1, 2, 3, 6-9, 11, 12, 15

1.2 - Function Notation (Note)

Practice page 22
Level 3: #1acef, 2, 4a, 5-7ab, 10, 11, 13, 14, 16

Level 4: #17, 20

1.3 - Properties of Quadratics part 1 (Note)

Practice page 145

Level 3: #1ad, 2cd, 3, 5, 6, 9ce, 11

Level 4: 12, 13, 16

1.4 - Properties of Quadratics part 2 (Note)

Practice:

Level 3: p145 #4, 14  &  p153 #2-4, 8, 10, 11

Level 4: p154 #14, 15

1.5 - Working with Polynomials (Note)

Basic practice:

p88 #(4-6)odd, 7, 8def,  p95 #(4-6)odd,   p102 #(4-7, 9)odd

Level 3 practice:

p89 #11, 12,   p95 #8, 9, 11, 14,   p103 #8, 11

Level 4 practice:

p90 #16,  p97 #15,   p104 #14

1.6 - Inequalities Intro & Parent Functions (Note)

Practice:

Page 26-27 Investigation

Page 28 #1-3

1.7 - Parent Functions (Note)

Practice p35

Level 3: #1ab, 2, 3, 5, 7, 9-12, 14

Level 4: #13, 16, 17

1.8 - Transformations of Parent Functions (Note)

Updated practice: Complete the handout and state the domain & range of functions c), e), and  g) in each question.

1.9 - Solving Problems with Quadratics (Note)

Practice: Handout

1.10 - A, C, D, transformations & Mapping Notation (Note + Handout)

Practice: Finish #1, 5-7 from handout.  (#2-4, 8 if required)

1.11 - Number of Zeros and More Problem Solving with Quadratics

(Note + Handout)

Practice:

Level 3:

p185 #1bcd, 2cd, 3, 4, 5ac, 6, 9, 11, 13

p192 #4, 5ac, 6, 8, 9, 14, 15

Level 4:

p 185 #10, 17

p192 #10, 17

1.12 - Horizontal Stretches, Compressions, Reflections (Note + Handout)

Practice:

Level 3: p53 J, K, L   &   p58 #1-8, 10, 11, 13

Level 4: p60 #9, 12, 14, 15

1.13 - Combining Transformations - Gallery Walk

(Instructions/Note & List of Functions)

Cycle 1 Review Questions

Useful Resources

Course Outline

GeoGebra Software:

Download for Mac or Windows

 

Graphing Calculators: 

Desmos.com

Boundless.com

Mathway.com

 

Extra FACTORING PRACTICE

Online

Worksheet

Khan Academy: video tutorials

Ministry of Ontario Math Curriculum (grades 11-12)

Textbook: Nelson - Functions 11

Learning with
Mrs. Aly
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