2018 Grade 11 Enriched Outline (MCR3U6)

Unit 2:  Functions

 

Pink topics are pure enrichment topics

Yellow topics are 11U topics, with more difficulty or rigor

Blue topics are 12U material required for MHF4U

 

Date

Topics & Learning Goals

Homework

Oct 1st Staff Mtg

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

 

Practice Set – Min & Max Values

2

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.

3

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

·         Square root

·         Absolute value

·         Reciprocal

·         Semi-circle

 

Practice Set – Quadratic Functions

4

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

5

1.9.         Inverses (4 lessons; 22:26)

Textbook P215 #1, 2, 5, 7, 9, 15, 16, 17, 20, 21

Practice Set – Quadratic Functions II

8

Thanksgiving

 

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

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

11

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

12

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

15 Photo retake day

5.6.         Solving Exponential and Logarithmic Equations (4 lessons; 19:05)

 

Test 1 Corrections due

·         Submit at the beginning of class, attached to your test

16 Interim Reports

Review Functions & Relations

Review for Test 2

 

Review Transformations of Functions

  • Combinations of Transformations (1)  (check your answers here)
  • Combinations of Transformations (2)  (check your answers here)
  • Combinations of Transformations (3)  (check your answers here)

·         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

17

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.

19

Test 2 – Functions