MCR3U Day Planner

The Big Picture                    Struggling?                    CodeNames

Marks: Period 2                  Marks: Period 3

Period 2 no quiz             Period 3 no quiz
           

Unit 1: Introduction to Functions

Date

Topics Covered

Homework

Sept 3

Introduction to the Course
"Clicker" Survey and Review
Course Outline

 Parents to sign contact sheet.
Sept 5

Introduction to Functions
Definitions: Relation - A set of ordered pairs; Function: A relation in which there is one y value for every x value
Some examples of Function Types: Linear, Quadratic, Cubic, Exponential, Inverse, Radical
(Helpful Videos: Definition of a Function, Finding the Domain, 7 Examples of Functions)
(Safe School assembly for most of period 2)

Pg 3: 1a-g, 2a-d
Sept 9

Eric's Extreme Ballooning Activity: Create graphs using graphing calculator and then determine an algebraic equation to model data (linear; radical, quadratic and exponential functions)

Pg 3: 2e-g, 3a-e
Sept 11

Eric's Extreme Ballooning Activity: Create graphs using graphing calculator and then determine an algebraic equation to model data (linear; radical, quadratic and exponential functions)
Introduction to Sinusoidal (periodic) functions

 Section 1.1: Review exponent laws on pgs 4 to 8
Pg 9: 1-8 ("a" and alternate letters for each)

Unit 2: Equivalent Algebraic Expressions

Date

Topics Covered

Homework

Sept 15
 Simplify Polynomial Expressions
• add, subtract, multiply
Review Answer Key
 Section 1.4: pg 29-34: #1,2,8,9,10,13,17 (ac for each)
Sept 17
 Factoring Review
• common factoring; difference of squares; simple trinomials x2 + bx + c, general trinomials ax2 + bx + c, perfect square trinomials, factoring by grouping
Useful factoring videos: (videos 5.1, 5.2, 5.5, 5.6 & 5.7)
 Factoring review sheet answer key - Complete questions 1-41: Odd numbers only. (Questions 30 to 41 are a bit tricky but give them a try.)
Sept 19
 1.5: Simplify Rational Expressions
• define rational expression
• simplify rational expressions: factor completely, then divide by common factors
• state restrictions - cannot divide by zero! To determine restrictions, look at the original expression, not simplified one.
• Factor out a "-1" if you have a term in the numerator that is exactly like one in the denominator but in which the sign of every term is reversed
Useful videos: Domain of Rat. Exp, Simplifying #1, Simplifying #2		 Pg 40: parts a,c,e for #s 1 thru 6, plus #s 14, 15
Sept 23

Quiz 1: Simplify polynomials and factoring
1.6: Multiplying and Dividing Rational Expressions
• Multiply: a/b * c/d = ac/bd   where b and d cannot equal zero
• a/b divided by c/d = ad/bc     where b, d and c cannot equal zero
To divide multiply by reciprocal, then simplify
Useful videos: multiplying, dividing #1, dividing #2

 pg 50: 4ace, 5ace, 6ace, 7ab, 8ab, 13, 15
Sept 25

1.7: Adding and Subtracting Rational Expressions
•Common denominators: rewrite numerators over the denominater and simplify
•Different denominators: Find LCD, rewrite numerators over LCD, and simplify.
   Note: Denominators can be whole numbers, monomials, binomials or trinomals
•To find the LCD, factor each denominator. The LCD is the product of the smallest set of common factors.
Useful videos: common denominator, different denominators#1, different denominators #2

 P9 58: 1-6 (c,d for each) , 11
Sept 30
 1.8: Adding and Subtracting Rational Expressions

pg 66: Communicate your understanding
pg 67: 1, 2, 4, plus 3, 5, 6, 7, 9, 10 (ace for each)
Oct 2
 Quiz: Rational Expressions
2.1: Radical Expressions
• verify through investigation that square root of ab = square root of a times the square root of b
• simplify radicals and add subtract, and multiply radical expressions
• emphasize equivalence of radical expressions
Useful Videos: Radical product and quotient rules , Simplifying a square root, Simplifying a square root containing a quotient
 Complete radical worksheet: circled questions only
Oct 6
 Review
Performance problem (Open Notes)		 Complete Review Worksheet, Study for test
Oct 8
 Start "Quadratic Funtions" unit (see below) Pg. 116: 2(a,d,h,l), 3(ael)
Oct 10

Unit Test

None - Enjoy the long weekend

 

Unit 3: Quadratic Functions

Date

Topics Covered

Homework

Oct 8
 Section 2.2: Max or Min Value of a Quadratic Function, y = ax^2 + bx + c
• find vertex (maximum or minimum value) by two methods:
   1. Completing the square: write in form y = a(x-h)^2 + k
       k is max/min value when x=h
  2. The x coordinate of the vertex = -b/2a.  
      For y coordinate of the vertex, sub the x coordinate into the equation
Useful Videos: Videos 4.3.1, 4.3.2 and 4.3.3
 Pg. 116: 2(a,d,h,l), 3(ael)
Oct 15
 2.2: Maximum or Minimum Value of a Quadratic Function - continued
Conversion Worksheet, Conversion Answer Key		 Complete Conversion Worksheet
Oct 17
 2.2 Real-Life Applications of Quadratic Functions
• solve problems involving quadratic functions in the form y = ax^2 + bx + c (e.g., maximize revenue or profit; minimize cost; maximize area; find maximum height of a projectile
Useful Videos: Area, Projectile
 Pg 117: 6, 7, 9, 12, 13, 14
Oct 21
 2.2 Real-Life Applications of Quadratic Functions - continued
Homework Answer Key (for all homework up to this point) (Oops - made 2 small mistakes on 1e and 1h on today's homework. Be the first to tell me in class and get a chocolate!) 		Complete worksheet - circled questions only:
(1aeh, 2,4,8,9)
Oct 23
 Quiz - Completing the square and word problem
2.3 Zeros of Quadratic Functions
• determine number of zeros (x-intercepts) of a quadratic function by inspecting graphs; factoring & calculating the discriminant:b^2 – 4ac .
    If b^2 – 4ac > 0, you get two real solutions
    If b^2 – 4ac = 0, you get two equal real solutions,
    If b^2 – 4ac < 0, you get two non-real solutions (non-real solutions involve the square root of a negative number. The square root of -1 is the imaginary number i)

Complete graphing worksheets:
Discriminant handout: questions 1, 2, 3abc, 4abc
Oct 28

2.3 Determine the zeros of a quadratic function by factoring; completing the square; quadratic formula: Derivation of Quadratic Formula
• solve problems involving the zeros of a quadratic function
Useful Videos: Solving by factoring, Solving by Completing the Square #1, Solving by Completing the Square #2, Quadratic Formula - two real solutions, Quadratic Formula - two non-real solutions, one real solution , Summary

seatwork: pg. 128: 2,3,4,8,12, (ace for each)
homework: pg. 130: 18, 19, 21, 24, 29, 30
(This is bit more homework than normal - With unfinished seatwork , plan to spend at least 1-2 hours on it)
Oct 30
 2.3 Zeros of Quadratic Functions: Take up Homework
(If you don't understand the answer key, see me for extra help before the test.)		 homework: pg 130: 15, 16, 26, 34
Nov 3
 Answer Key: Quadratics Quiz #2
8.9 Intersection of Linear and Quadratic Functions (0, 1, or 2 solutions)
• solve system graphically and algebraically (by substitution)
• solve word problems
 pg 684: 1ace, 2afi, 3bf, 10
Do any unfinished homework and only then check the answer keys! (Don't take the easy way out - You'll pay for it on the test!)
Nov 5
 Review Answer Key
Performance Problem		 Study for test, review notes. Good review questions are on pages 155 & 156.
Nov 7 Unit Test Answer Key None - Enjoy the long weekend

 

Unit 4: Representing Functions

Date

Topics Covered

Homework

Nov 12 Sections 3.1 & 3.2: Functions
• define and distinguish between function and relation using various representations (mapping diagrams; graphs; function machines; equations) and strategies (identify 1-1 map; many-to-one map; vertical line test, horizontal line test)
• represent linear and quadratic functions using function notation; given equations; tables of values; graphs, substitute into and evaluate functions
• define domain and range;
Useful videos: Click here and then view videos: 3.1.1,  3.1.2,  3.2.1,  3.4.1
pg 178: 1,2,3,5,8,11,12
Nov 14 Sections 3.1 & 3.2: Functions continued
state domain and range of functions f(x)=x; f(x)=x^2; f(x)=square root of x, f(x)= 1/x using numeric, graphic, and algebraic representations
• state domain and range in real-life contexts
pg 179: 15, 19, 20, 23, 26, 28, 31,
Nov 18 Section 3.5: Inverse Functions
• relate to reverse processes or applying reverse operations
• determine inverse of linear and quadratic functions numerically; graphically; algebraically
• relate graphs and algebraic equations of functions to their inverse
• relate domain and range of a function to domain and range of its inverse
• determine if inverse is a function
Useful videos: Click here and then view videos 6.2.1, 6.2.2, and 6.2.4
 pg 215: 2, 3aefg, 5, 8, 11, 15, 17
Nov 20

Section 3.5: Inverse functions continued
The domain and range of a f(x) become the range and domain of f inverse respectively
To find f inverse graphically:
  Reflect f(x) in the line y=x   (same thing as switching x & y values for each point)
To find f inverse algebraically:
   1. sub y for f(x),   2. solve for x,   3. interchange x and y,   4. y = f inverse
Quiz

pg 218: #19 - 25
Nov 24 Sections 3.3, 3.4, 3.6, 3.7: Transformations of Functions
• describe roles of parameters a, k, d, and c in y =af(k(x-d))+c to graphs of f(x) = x; f(x) = x^2; f(x) =square root of x, f(x) = 1/x using terms such as translations; reflections in the axes; vertical and horizontal stretches/compressions
• sketch graphs of y=af(k(x-d))+c to f(x) = x; f(x) = x^2; f(x) = square root of x, f(x)=1/x by applying one or more transformations
• state domain and range of transformed function
• emphasize connections between algebraic and graphical representations of functions
Useful videos: Click here and the select videos in section 3.5
 Pg 189: 1,2,3,4i, 5, 6ace, 7ace, 8ace
Nov 26

Sections 3.3, 3.4, 3.6, 3.7: Transformations of Functions (continued)
Summary of transformations from y=f(x) to y =af(k(x-d))+c
a: Vertical stretch (a>1) or compression (0<a<1). Reflection in x-axis if a<0
k: Horizontal stretch (0<k<1) or compression (k>1). Reflection in y-axis if k<0
d: Horizontal translation (Right if there's a "-" sign; Left if there's a "+' sign)
c: Vertical translation (up if positive, down if negative)
- When applying transformations - do the reflections, stretches and compressions first leaving the translations to the very end.
- Factor out the coefficient of the x term to better see the translations

pg 203: 2,3,8
pg 229: 1,3
pg 240: 1 4aceg
Dec 1 Sections 3.3, 3.4, 3.6, 3.7: Transformations of Functions (continued)
 pg 240: #7, 9ace, 16ace, 17
Dec 3 Review
Quiz on transformations : Answer Key 		Chapter Test: pg 254-256: #1-14
Dec 5 Review
Performance Problem		 Chapter Test: pg 254-256: #1-14
Review Notes
Dec 9 Test Answer Key None - Enjoy the short break

January Exam Review

Date

Topics Covered

Homework

Jan 14/15
Exam Review (Exam Review Sheet Answers)
Exam Review Textbook Questions Answer Key
Complete Midterm review questions (Both sheets), Review Text, Tests and Quizzes. Come in and see me for extra help if needed
Jan 31 @12:45
Exam: 30 multiple choice plus 4 full solution questions

Unit 5:Exponential Functions

Date

Topics Covered

Homework

Dec 11

 
Exponent Laws
• state 5 exponent laws
• simplify algebraic expressions containing integer exponents and rational exponents
• evaluate numerical expressions containing integer exponents
• evaluate numerical expressions containing rational bases
Useful Videos: Exponent Laws Review: (see videos 6.1.1 thru 6.1.10)
pg 9: #1-8 (b and alternate letters only), and #9

Dec 15

 
Rational Exponents
• determine the value of a power with a rational exponent using tools such as calculator; paper and pencil; graphing calculator, and strategies such as patterning; finding values from a graph; interpreting the exponent laws
• evaluate numerical expressions with rational exponents
Useful videos: click here and view videos in section 9.2
p9: 16-17: #1,2,3,4,6,9

Dec 17

 
Exponential Function, y = b^x (Note: y = b^x means "b" raised to the power of "x")
• graph, y = b^x, with and without technology
• describe key properties of tables of values, mapping diagrams, graphs, function machines, and equations: domain and range; intercepts; increasing/decreasing intervals; asymptotes
• explain why a function, f(x) = b^x
Useful videos: click here and view videos 6.3.2, and 6.3.3
Complete "investigation" worksheet (first two pages of this attachment)

Dec 19

 
Quiz on Exponent Laws (including rational exponents)
Take up Investigating the exponential function y = b^x worksheet
Investigation worksheet answer key
Complete chart on "homework" sheet
(Last page of this attachment)
Complete Exam Review Worksheet

Jan 6

 
Transformations on the Graphs of Exponential Functions
• describe the roles of parameters a, k, d, and c of y = af(k(x-d)+c for transformations on the graph f(x) = a^x using terms such as translations; reflections in the axes; vertical and horizontal stretches and compressions
• sketch graphs of y = af(k(x-d)+c by applying one or more transformations to the graph of f(x) = a^x
• state the domain and range of the transformed functions
transformations, or using the exponent laws
• represent an exponential function with an equation when given a graph or its properties
Complete Side 1 of "Transformations of Exponential Functions" worksheet

Jan 8

 

Transformations on the Graphs of Exponential Functions (cont)
Transformation Worksheet Answer Key
To find the y-intercept of an exponential function find f(0), (The value of the function when x=0)
Complete Practice Questions
Jan 12

- Simply any transformed exponential functions to y = a(b^x) + c
- investigate the connections of exponential functions with different bases (e.g,, f(x) = 9^x and f(x) = 3^2x)
- Create exponential functions in the form y=a(b^x)+c if given the y-intercept and the horizontal asymptote: c = asymptote, and the y intercept = a + c. Can only determine b if given the value of a point (x,y) on the curve.

Complete "Simplifying and Creating" Exponential Functions" handout

Jan 27

 

 - Discuss Exam results and updated marks
Review: Sketching, Creating And Simplifying Exponential Function		 3 questions written on chalkboard
Jan 29

Quiz: Sketching, Creating And Simplifying Exponential Function
Solving Exponential Growth and Decay Problems
-Exponential growth/decay problems have a general form y=a(b^x), where a is the initial value (at time 0), b is the rate of growth/decay per period, and x is the number of periods.
- Exponential Growth: b>1   and    Exponential Decay: b<1
- Common bases: doubling period: b=2;       half-life: b=1/2
- Solve problems (e.g., population growth; radioactive decay; height of a bouncing ball; compound interest) by interpreting graphs; substituting values for the exponent into the equation

 Homework handout on exponential growth/decay problems: #1, 2, 3ab, 4, 5, 6, 7, 9a, 10ab, 11, 12, 14
Feb 3
Quiz on transformations of Exponential Functions, creating exponential functions and simplfying exponential functions.
Quiz Answer Key
Model Data using the Exponential Regression Feature on the graphing calculator.
More Useful videos: click here and view videos in section 6.8
Study for performance problem next day and unit test in two classes
Feb 5

Review
- Take up Exponential Functions Quiz
- Don't know what's on the test? - Click here
Review Answer Key
More Growth/Decay questions
Performance Problem
Study for unit test on Tuesday/Wedsnesday
Feb 9

Unit Test

Unit 6: Trigonometric Ratios

Date

Topics Covered

Homework

Lesson 1
Feb 11

Primary and Secondary Trigonometric Ratios
• review primary trigonometric ratios sine, cosine, tangent (SOHCAHTOA)
• review sine law and cosine law (briefly)
• define secondary trigonometric ratios cosecant, secant, cotangent in terms of sides in right triangle, and relate to ratios of primary trigonometric ratios
pg 272: 2ac, 3ac, 4ac, 5-8, 11, 12,16, 18
Lesson 2
Feb 13
• determine exact values of primary trigonometric ratios for special angles 0º, 30º, 45º, 60º, 90º
• pose and solve 2-D and 3-D problems involving right triangles using primary trigonometric ratios
(click here for videos)
Complete handout: "Evaluating with Exact Primary Trig Ratios
Lesson 3
Feb 18
Quiz
Primary Trigonometric Ratios for Any Angle 0º to 360º
• determine values of sine, cosine, tangent for any angle 0º to 360º by applying unit circle and/or examine angles related to special angles
pg 281: #1, 2acegi, 3acegi, 6, 8, 10, 11
Lesson 4
Feb 20
• determine measures of 2 angles from 0º to 360º with value of given trigonometric ratio the same (use CAST rule)
pg 348: 1, 2, 3, 6, 11, 18 (aceg for all questions). Note to do the homework you must substitute 2Pi = 360 degrees)
Lesson 5
Feb 24
Cosine and Sine Laws
• pose and solve 2-D and 3-D problems involving oblique triangles using Cosine and Sine Laws
pg 290: #1, 2, 4, 5 (ace for each)
Lesson 6
Feb 26
Cosine and Sine Laws (Jigsaw activity): pg 292 #8, 9, 10, 11 - Will be marked for communication. If not completed in class, complete for next class.
Complete jigsaw activity (pg 292 #8, 9, 10, 11)
pg 294: #18, 20
Lesson 7
March 2
Sine Law – Ambiguous Case
• explore number of solutions for lengths of 2 sides and angle measure opposite one of the sides
• pose and solve 2-D problems involving oblique triangles using the Ambiguous Case of Sine Law
Pg 309: #3bfgh, 5, 7a, 8, 9, 10a, 12
(Click here for answer key)
Lesson 8
Mar 4
Trigonometric Identities (click here for videos)
• Quotient identity: tanx = sinx/cosx
• Pythagorean identity: sinx^2 + cosx^2 = 1
• Prove simple trigonometric identities
Trig Identities Homework Answer Key (Note: There are many ways to prove an identity. Your answer may be different than mine)
pg 398: #2efghijklm and study example 3 on page 396
Lesson 9
Mar 6
Quiz on Sine Law Ambiguous Case
Trigonometric Identities Continued (Seatwork: pg 399 #4a-h)
Trig Identities Seatwork and Homework Answer Key
pg 399: #4ij, 7abcd
Lesson 10
Mar 10
Review: We will be doing pg 316 #1-10, and pg 416 32 & 34.
Performance Problem: Sine and Cosine Laws
Review Notes. Good review questions include pg 316 #1-10, pg 416 32 & 34. Memorize trig ratios of special angles (0, 30, 45, 60, 90)
Lesson 11
Mar 12
Unit Test:
None for you but pity poor me who has to mark your tests!


Unit 7: Sinusoidal Functions

Date

Topics Covered

Homework

  Good videos for this unit: click here
Note: You need to bring in graph paper for this unit!
Click here to download helpful (& cool) "flash" applet Click "stop" at the bottom of the screen to stop the animation. Click on one of the three circles to select a sine, cosine or tangent curve. Then move the sliders to adjust "a", "k" (program uses the letter n), "d" (program uses the letter h, and "c" (program uses the letter k) 		 

Lesson 1
Mar 23

 Periodic Functions
• describe key properties of periodic functions (cycle, amplitude, period) using real-life applications in numerical or graphical form
• extrapolate to predict future behaviour of relationships of periodic functions modelled in numerical or graphical form		 pg 359: #1ac, 2ace, 3ac, 4-8
(Kiran: read section 5.3 and do investigation on pg 355)

Lesson 2
Mar 25

 Sketch Graphs of f(x) = sin x and f(x) = cos x
• connect sine ratio and sine function as well as cosine ratio and cosine function using angles from 0º to 360º and corresponding ratios (use calculator to create table of values; unwrap unit circle)
• Radian measure: pi radians = 180 degrees (1 radian = approx 57 degrees)
• explain why f(x) =sin x and f(x) = cos x are functions
• sketch graphs of f(x) = sin x and f(x) = cos x, using degrees angle measure
• describe key properties: cycle; domain; range; intercepts; amplitude; period; max/min values; increasing/decreasing intervals		 pg 367: Complete "Stretches" worksheet
(Kiran: Read section 5.1 - do questions 1,2 on pg 334. Do questions 1-23 on pgs 363-365)
Lesson 3
per 2: Mar 27
per 3: Mar 31
 Quiz on lessons 1 & 2
Transformations of Sine and Cosine Functions
• describe roles of parameters a, k, d, and c of f(x) = sin x and f(x) = cos x in the form y = af(k(x-d)) + c, with degree angle measures in terms of translations; reflections in the axes; vertical and horizontal stretches and compressions
• Given f(x) = asin(k(x-d)) + c or f(x) = acos(k(x-d)) + c, determine amplitude; period; phase shift; domain; range
• sketch graphs of f(x) = asin(k(x-d)) + c, f(x) = acos(k(x-d)) + c by applying one or more transformations to f(x) = sin x and f(x) = cos x
• write equation of sinusoidal function given graph or its properties 		pg 374: #1-8, 12 (b,c for each)
(Kiran: read section 5.5: do questions 1-12 on pg 367-368 and questions 1-12 on pgs 368-369)

Lesson 4
per 2: Apr 2
per 3: Apr 6

 Graphing Sinusoidal Curves
Step 1: Make sure equation is in form y=asin(k(x-d))+c .
       Ex. y=cos(2x-6) should be written as y=cos(2(x-3))
Step 2: Determine amplitude (= a)
Step 3: Determine period (= 2pi/k)
Step 4: Divide period into 4 equal pieces to get the x-interval scale.
Step 5: Plot base curve (ie. y=asinkx) using 5 points (max, min and zeroes).
Step 6: Plot final curve by translating “d” units left/right and “c” units up/down.

pg 387: #3-6 (ace),   pg 388: #12, 14,
pg 376# 15, 17

note: #12 is difficult
Lesson 5
per 2: April 6
per 3: Apr 8

• Take up homework
• Word problems (solving real-life problems - applications modelled by sinusoidal functions)
• Pose and solve problems given a graph or graph generated from equation

 pg 389: # 13, 16, 17
Lesson 6
per 2: April 8
per 3: April 14		 Quiz on graphing
Unit Review: pg 414: # 15, 16, 21a, 27b, 28, 29b, 30, 31
Word problem homework answer key
 Lesson 4 graphing homework answer key
Graphing Warm UP Answer Key
Graphing Quiz Answer Key 		Unit Review: pg 414: # 15, 16, 21a, 27b, 28, 29b, 30, 31

Lesson 7
per 2: April 14

 Review: (Extra day review for period 2 only)
Performance Problem (period 2 only)

  
April 16 Performance Problem (period 3 only)
Sequences and Series Lesson 1 (see below for content)		 Review notes, quizzes & text. Complete all homework and review questions
April 20

 Unit Test Answer Key
  

Unit 8: Sequences and Series

Date

Topics Covered

Homework

April 16

Intro to Sequences:
A sequence is a set of numbers, separated by commas, arranged in order. May be finite or infinite

 pg 433-435: #1aef, 2a-i, 3adej, 5bc, 7, 11,12
April 22 Section 6.2: Arithmetic Sequences: tn = a + (n-1) d where a is the first term and d is the common difference.
Section 6.3: Geometric Sequences: tn = ar^(n-1) 		pg 441: 1-7 (d,f,i for each), 10, 12, 16, 22
pg 452: 1, 3-7 (ace for each), 9, 11, 13, 14, 16
April 24 Quiz
Section 6.4: Recursion
Explicit formulas (both arithmetic and geometric) can be used to calculate a term without knowing the previous term.
Recursion formulas are used to calculate a term from one or more previous terms in the sequence. Recursion formulas come in two parts. First part gives the fist term (or terms). The second part is an equation that calculates other terms from the term(s) before it.		 Pg 461: 6, 7, 8, 12,
April 28

Pascal's Triangle (not in book)
Pascal's triangle is used to simplify the expansion of a binomial raised to the nth power: (a+b)^n = 1a^n+ __a^(n-1)b+__a^(n-2)b^2+...+__ab^(n-1)+1b^n, where the coefficients of each term come from the nth row of Pascal's triangle.
n=0: 1
n=1: 1,1
n=2: 1,2,1
n=3: 1,3,3,1
n=4: 1,4,6,4,1
n=5: 1,5,10,10,5,1
n=6: 1,6,15,20,15,6,1
n=7: 1,7,21,35,35,21,7,1

Exercises on page 3 of Pascal's Triangle Handout (Letters a, c, e and g only)
Click here for Answer Key
April 30

Arithmetic Series: Sn = n(a + tn) / 2         or      Sn = n(2a + (n-1)d) / 2

Pg 469: 2 - 4 (ace for each) 6, 7b, 9 , 12, 18
Click here for answer key
May 4 Geometric Series: Sn = (ar^n - a) / (r-1) Pg 476: 1e, 2e, 3e, 10, 11, 12b, 14, 18 - 20
Click here for answer key
May 6 Review
Performance Problem		 Good review questions include questions 6 - 38 starting on page 480 and 1-14 on page 486
May 8 Lesson 1 of new unit: Financial Math (see below)  Good review questions include questions 6 - 38 starting on page 480 and 1-14 on page 486
May 12 Unit Test
Click here for Answer Key		  


Unit 9: Financial Mathematics

Date

Topics Covered

Homework

May 8 A= $ Amount of loan/investment after a specified time,   t= time in years
P= principal (initial $ amount),  I = interest (in dollars),   r = annual interest rate
Simple interest: Arithmetic sequence --> I=Prt , A= P+I
Compound Interest: Geometric sequence --> A = P(1+i)^n where i is the interest rate per compounding period and n is the number of compounding periods.
i = r/N     n=Nt       N=number of compounding periods per year
Annual --> N=1
Semi-annual --> N=2
Monthly --> N=12
Daily --> N=365		  None, but you should study for the Series and Sequences Unit Test
May 14
  Simple and Compound interest continued
Use graphing calculators' financial math applications		 Pg 508: 2, 4, 6, 9, 11, 12, 14, 17, 19, 22
May 19 Quiz: Simple and Compound Interest
Summative Review 		Complete Summative Review Questions
May 21 Summative Review Review Notes, Text, Tests, Quizzes, Hwk and Review Questions
May 25

Summative Evaluation - Full Solution Questions (10% of final mark)
2 questions each for the following units only
- Exponential Functions (Growth & Decay)
- Trigonometry
- Sinusoidal Functions (getting Graph from Equation and getting Equation from Graph)
- Sequences and Series

  None - Take a well desreved break
May 27 Present Value: P=A(1+i)^-n
("Present Value" is the same the "Principal")		 Pg 523: 2,3,4
Do Summative Review questions before next class. - We will take them up in class
May 29  Amount of an Ordinary Annuity
Annuity: A series of equal payment at regular intervals of time
Ordinary Annuity: An annuity in which the payments are made at the end of each payment interval (time between successive payments).
A=(R(1+i)^n - 1) / i		 Complete practice worksheet
Pg 532: #4, 5, 8, 12
June 1  Present Value of an Ordinary Annuity
PV = (R(1-(1+i)^-n) / i		 Complete Practice worksheet
Pg 541: # 1, 2, 12, 13
June 4 Quiz: Present Value and Annuties
Seatwork Assignment: pg 572#3, 6, 10, 15, 17 		 
June 8 Mixed Practice    
June 10 Unit Test