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
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 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
GeoGebra Software:
Download for Mac or Windows
Graphing Calculators:
Extra FACTORING PRACTICE
Khan Academy: video tutorials
Ministry of Ontario Math Curriculum (grades 11-12)
Textbook: Nelson - Functions 11