
NavigationGrade
11 Enriched Math (MCR3U6) Grade
12 AP Statistics (MDM4UE) 
Frivolous & Fun StuffTED talks: Spanish with English subtitles, Eduardo Sáenz
de Cabezón: Math is forever. Roger
Antonsen: Math is the hidden secret to
understanding the world Salman Khan (the Khan Acadamy guy): Let's
use video to reinvent education Youtube videos: Malcolm Gladwell on the
importance of stubbornness (27:37) Rethinking Education – Sal
Khan (1:30:08) CBC Radio, How big data is changing
the video you watch (10:25) Malcolm Gladwell podcast, Revisionist History 
Download[Flatland (the book) can be downloaded from
Wikipedia] Download Mr. Shim’s recommended Graphing Software (free!) Grade 9 Academic EQAO Formula Sheet Geometer Sketchpad 5.06 (download) License name: ONTARIO DSBYORK Authorization
code: KQJ9P1RF7C9CVGP1M7REVX58 
Math Tools & ResourcesDesmos Graphing
Tool (online version) Math Tools (click here) Probability Tools (click here) Vector Visualizer (try this online vector
tool for visualizing) UWaterloo CEMC Courseware – on line instructional
videos with exercise & enrichment questions (a work in
progress, but an excellent resource for 12U Advanced Functions and 12U
Calculus & Vectors) 
Grade 11 Enriched Math
Date

Topics & Learning Goals

Homework

March 1 
Introduction to
Functions Watch the videos and try the examples using the CEMC courseware: http://courseware.cemc.uwaterloo.ca/ 1.1. Relations & Functions (4 lessons; 18:24) Definitions: a function; notation; domain and range; composite functions. 1.2. Interval Notation and Definitions (6 lessons; 22:13) Instead of writing we can use the notation We will not be using this notation in our course. 1.3. Solving Linear Inequalities (5 lessons; 22:24) We will skip this. It is neither fun nor interesting. We also did it for homework already. For this unit, you are expected to have graphing software
in class. Optional, Textbook equivalent: P170—177 for notes; P178—181 for practice 

2 
Test 1 
2 
5 
1.4. Graphing Five Base Functions (5 lessons; 24:24) Quadratic; square root; reciprocal; exponential; absolute value Handout, Summarizing Basic Functions (check answers) 1.5. Translations (4 lessons; 17:20) Intro to graphing software. After today students are expected to have software installed at home and on their phones and tablets. If they need to graph, they should have software. Also, everyone should have graph paper. Lots & lots of graph paper. 

6 
1.6. Reflections (4 lessons; 19:30) 1.7. Stretches (4 lessons; 21:12) Transformations of Functions  Discuss vs.  In general, vs. (Check out the graph done in Desmos using sliders.) View some examples done in Desmos: · Parabola 

7 
1.8. Combining
Transformations (5 lessons; 15:45) Textbook P240 #4, 7—12, 16—19 Practice graphing examples of using Callum Moseley’s software Review
Transformations of Functions


8 
1.9. Inverses (4 lessons;
22:26) 
8 
9 
5.1. Exponential Functions (4 lessons; 20:34) We did 5.2 already: Solving Exponential Equations (3 lessons; 11:22) Properties of Exponential Functions (Notice the footer denoting sections 3.4 and 3.5 from the other Grade 11 textbook.) §3.4 #2—5, 10, 12, 16 §3.5 #1—3, 6—10, 18, 20, 23 Quiz – transformations of functions 

10 – 18 
March Break 

19 
5.3. Modelling Exponential Behaviour (3
lessons; 17:07) 

20 
5.4. Logarithmic Functions (5 lessons; 20:44) 

21 
5.5. Properties & Laws of Logarithms (6 lessons; 28:23) 

22 Inside Ride Assembly 
5.6. Solving Exponential and Logarithmic Equations (4 lessons; 19:05) 

23 Interim Reports 
Review Functions
& Relations Review
Transformations of Functions
· Combinations of Transformations (4) (answers printed on the page) Review Inverses of
Functions CEMC website, 1.9. Inverses, Exercises #1—7 Optional P246 – 253 Ch.3 Chapter Review 

26 
Logarithmic Functions 
There are 5 versions of the handout, Review Logarithms. Each version is the same with different numbers. Practice one version of the handout and do each question, but just the alternating letters like a, c, e, etc. 
27 
Intro for Unit 3 – Trigonometry Solving Triangles Proving Sine Law Proving Cosine Law Triangle Inequality Focus on form Optional Quiz – Logarithms 
Proving Sine Law and Cosine Law
Triangle Inequality (Check here for solutions.) 1.9 P81 Achievement Check (Check here for solutions.) 4.1 P275 #19 4.3 P291 #8—11 4.3 P294 Achievement Check Optional: 4.1 P272 #4—15 4.3 P291 #3, 5 
28 Parents Night 
Test 2 – Functions 

Grade 12 AP Statistics
· Download the TI83 Plus guidebook PDF from Texas Instruments
· Hey, our textbook Stats: Modeling the World, is available online!
· Document filename format: Ch# P## Q## yourname (Ex. Ch8 P197 Q41.ftm would be the Fathom file for that homework question.
· Graphing/Charting and General Data Visualization App (Thanks Mark)
· Normal Distribution calculator, by David Lane (Thanks Brian)
Date 
Topics & Learning Goals 
Resources 
Homework 
27 PCF 
Ch. 11 – Understanding Randomness Textbook
Assignments due by end of day Creating a simulation using
random number generators 
Text p. 256 – 263 
p.265 #11, 13, 15,
19, 25, 33, 39 
28 
Quiz on Chapters
6 – 8 Work period 

March 1 
Ch. 12 – Surveys Understand the meaning and
importance of the terms: population,
sample, sampling frame, survey, bias, randomness, sample size, census,
population parameter vs sample statistic Know different kinds of
sampling techniques: Simple Random
Sample, Stratified (strata = homogeneous), Cluster (cluster = heterogeneous),
Multistage, Systematic, Voluntary Response, Convenience Tips on creating a valid
survey Know different kinds of
bias: Response Bias, NonResponse
Bias, Sampling Bias (Undercoverage Bias) 
Text p.268 – 285 (beware of the
creepy guy on p.268) Strange analogy
on p.276 involving Boston Cream Pie 
p.288 #1, 3, 5, 9,
13, 17, 19, 23, 25, 33 
2 
Review – Chapters 2 – 7 Statistics
Assignment Part 1 due today by the end of the day. 
Click here for David Metzler’s statistics youtube play list. He uses the same text book and has lots of videos! 
Textbook Assignment Ch.910 (see Team drive) 
5 
Review – Chapters 8 – 12 


6 
Ch. 13 – Experiments Observational study: retrospective and prospective Experimental study: Subjects are randomly assigned to a
treatment which must have at least one explanatory variable (factor) to manipulate
at least one response variable. The 4 Principles of
Experimental Design: Control,
Randomize, Replicate, Block Statistically significant,
control treatments, blind experiments, placebo effect, randomized block
design, matching, randomized twofactor experiment, lurking vs confounding 
Text p.292 – p.309 DoubleBlind
Experiment (you tube link) Results of
violin experiment (link to pdf) 
p.313 #1, 3, 5, 7,
11, 17, 27, 29, 33, 35 
7 
Ch. 14 – Probability Basics Understand the
meanings of: trial, outcome, event,
sample space, empirical vs theoretical vs subjective probability, independent
events *The Law of Large
Numbers Basic Rules of
Probability 1.
2.
The sum of all
possible probabilities of an event is 1. 3.
(complement rule) 4.
for
mutually exclusive events. 5.
Textbook Assignment Ch.910 due by end of school day. 
Text p.324 – 336 Click below to look
at the origins of probability Problem of Points 
p.338 #1, 7, 11, 19, 21, 23, 29, 33, 35, 41, 43 
8 
Statistics Test (Chapters 2 – 12) 


9 
Ch. 15 – Probability Rules 1.
for
any pair of events. 2.
Conditional
Probability: Also know tests for
independence and how to use tree diagrams 
Text p.342  360 
p.361#1, 3, 7,
9, 13, 15, 17, 19, 21, 27, 31, 37, 39, 45 
10 – 18 
March Break 


19 
Ch. 16 – Mean & Variance Be able to recognize
the difference between a discrete random variable and a continuous random
variable. Recognize that the
expected value of a random variable X, is equivalent to the population mean, µ. *Calculate the
standard deviation of a random variable X
using *Apply the following
properties for expectation and variance for two independent variables X and Y.

Text p.366 –
382 
p.383 #1, 3, 5,
9, 11, 13, 19, 21, 25, 27, 33, 35, 37, 43 
20 
Textbook Assignment Ch.1415 due by end of class. Class will be in
the library for a renovation! 

21 
Ch. 17 – Probability Models Recognize the
difference between a geometric (models a waiting time) and a binomial
probability model (models # of successes). Understand the term
“Bernoulli Trial”. Geometric: Binomial: , , Using the Normal Model
to approximate a Binomial Model. 
Text p.388 –
400 
p.401 #1, 9, 11, 15, 17, 19, 21, 23, 27, 31, 35 
22 Inside Ride Assembly 
Other probability
models: Hypergeometric
and Uniform. 
Chapter 7 from
the old MDM4U textbook is called “Probability Distributions”. Check the AP
Stats Team Drive, in a folder called “MDM textbook”. The answers to
homework questions is a separate file called, “Answers”. 
7.4 Hyper Geo Dist, p.404 #1, 3, 4, 6, 7, 9 – 12 Ch.7 Review, p.406 #1, 2, 4 
23 Interim Reports 
Statistics
Assignment due today by the end of the day. 

Review
questions: p.405 #1, 3, 7,
9, 15, 17, 23, 31, 35, 41 
26 
Review for Test 2 


27 
Ch. 18 – Sampling
Distribution Models *Central Limit Theorem
– conditions for using CLT Sampling Distribution Model
for a proportion is Sampling Distribution
Model for a Mean is 
p.412 – p.430 In the data
text book, you can find this topic in section 8.6 
p.432 #1, 3, 5,
7, 9, 15, 21, 23, 29, 31, 37, 39, 43, 45 
28 Parents Night 
Test 2: Chapters 14 – 17
and Hypergeometric, Uniform Distributions 

29 
Ch. 19  Confidence
Intervals for Proportions Creating &
interpreting CI’s for proportions: Calculating the margin
of error, based on a given CI. Calculating the sample size, n, based on a given CI. 
p.439 – p.453 In the data
text book, you can find this topic in section 8.6 
p.455 #1, 5, 7,
9, 13, 17, 23, 27, 29, 31 
30 
Good Friday 


April 2 
Easter Monday 


3 
Ch. 20 – Hypothesis Testing for
Proportions Understand the setup,
mechanics and conclusion for a hypothesis test *Understand when and
how to do a twosided hypothesis test. 
p.459 – 479 For two tail
tests, see example on p.466 
p.476 #3, 5, 9,
13, 17, 19, 21, 25, 29 #13 and #21
require doing a two tail test. 
4 
*Ch. 21 – More about
Tests and Intervals Understanding how to
conclude a hypothesis test by either saying “reject H_{0}”, or “fail
to reject H_{0}”. Type I and Type II errors and how to reduce them Understand what the
Power of a Test means 
p.480 – 497 
p.499 #3, 7, 9,
15, 17, 21, 25, 27, 29, 33 
5 
*Ch. 22 – Comparing
Proportions Know the sampling distribution
model for the difference between two proportions (box on p.507) Know how to create and
interpret a confidence interval for the difference between two proportions
(box on p.508) Know how to perform a
two proportion hypothesis test and interpret the results (box on p.513) 
p.504 – 518 Hypothesis Testing comparing
Proportions video 
p.519 #3, 5, 9,
11, 17, 19, 23, 25, 31 
6 
Quiz on Chapters 18  20 

9 
*Ch. 23 – Inferences
about Means Reminder of the CLT
for means For smaller samples,
use the students’s t (Gosset’s
t) instead of a zscore. Know how to create and
interpret a confidence interval for a mean (box on p.523) Know how to perform a
hypothesis test a mean and interpret the results (box on p.543) 
p.530  550 Confidence Intervals for Means example of a two tail test for a
mean **You will need to know how to calculate the probabilities based
on t values using your TI83, as the text book does not provide a t table.
(see the TI Tip on p.545) 
p.554 #1, 3, 5,
7, 9, 11, 19, 21, 25, 29, 31, 37 
10 
OSSLT (no classes) 


11 Euclid 

Get to
know your calculator (again!)…here are some TI Tips that you should
familiarize yourself with: p.448,
p.469, p.510, p.515 

12 FGH 
*Ch. 24 – Comparing
Means Know the sampling
distribution model for the difference between two means (box on p.563) Know how to create and
interpret a confidence interval for the difference between two means (box on
p.564) Know how to perform a
two sample hypothesis test for the difference between two means and interpret
the results (box on p.569) Note that you do NOT
need to know the material on The Pooled tTest starting on page 574. 
p.560  574 **You will need to know how to calculate the degrees of freedom
using the TI83. Check out the TITip
starting at the bottom of page 567. 
p.579 #1, 5,7,
9, 13, 17, 19, 21, 23, 27, 33, 35 
13 



16 
*Ch. 25 – Paired
Samples and Blocks (Comparing Means for
groups that have data that are NOT independent) Understand
circumstances that could lead to paired (dependent) data: 1) Blocked pairs
compare data before and after an
experiment 2) Matched pairs are
data from an observational study Understand the
Assumptions and Conditions (p.589) Know how to create and
interpret a confidence interval for the difference between two means of
paired data (box on p.595) Know how to perform a
two sample hypothesis test for the difference between two means of paired
data and interpret the results (box on p.591) 
p.587 – 600 
p.602 #1, 3, 5,
9, 11, 13, 17, 19, 23, 25 
17 
*Ch. 26 – ChiSquared
Distribution The chisquare
statistic is . It is used for the following tests: Chisquared goodness
of fit test (p.622, 623) This is testing to see if a model is
appropriate for the data. Chisquared test of
homogeneity (p.627) This is like the ztest for two
proportions. Chisquared test for
independence(p.633) 
p.618 – 640 Notes: You won’t be able to use your TI for the TI
tip on page 624. This is only for the
TI84s. You can, however, do the
cumulative distribution function on your TI83. 
p.642 #1, 3, 7,
11, 13, 15, 17, 19, 23, 29, 35 
18 
*Ch. 27 – Inferences
for Regression The idealized line of
best fit is denoted . This corresponds to our fitted line . Assumptions &
Conditions: 1. Linearity 2. Independence 3. Equal Variance 4. Normal Population Sampling Distribution
for Regression Slopes (bottom of p.658) 
p.649 – 665 Notes: The material after page 665 is all
optional. 
p.673 #1, 3, 5,
13, 15, 23, 25, 27, 33, 41 
19 
Review for test 


20 
Statistical Inference Test (chapters 18 – 25) 




