Welcome to Foundations of Math 30! If you may be headed to University but not necessarily focusing on math or science related fields then this is the 30 level class for you! PreCalculus 30 is required for math and science related programs, so make sure you check with your guidance councilor to be sure you are in the correct class.

**TI-83 Graphing Calculator Emulator**

**The syllabus is below, and notice that we will be starting with Chapter 3!**

You may need a graphing calculator. Here is an emulator you can try for your computer.

**Foundations of Math 30 Course**

**Chapter 3 – Set Theory and Logic** (Feb 2 – Feb 28)

Homework:

3.1#1,2,4,5,13

3.2#1-5

3.3#1-5,9,15

Mid unit Review p.178 #1-7

3.4#1,2,4,6,15(optional)

3.5#1,3,4,6,10

3.6#1,2,4,5,12acg

Ch. Review (p. 220) #1-5,6ab,8

- FM 30 3.1 Types of Sets and Set Notation (2018)
- FM 30 3.2 Relationships between Sets
- FM 30 3.3 Intersection and Union of Sets
- FM 30 3.4 Applications of Set Theory (2022 Lesson)
- FM 30 3.4 Venn Diagram with 3 sets Example
- FM 30 3.5 Conditional Statements and Their Converse
- FM 30 3.6 Inverse and Contrapositive of Conditional Statements
- Mr. Mathwell Kahoot 3.1-3.4
- Kahoot! 3.5-3.6 (#1)
- Kahoot! 3.5-3.6 (#2)

CH 3 REVIEW ASN'T WITH ANSWERS

###### Family Week Break – Feb 21-25/22

**Chapter 4 – Counting Methods** (Feb 28 – Mar 15)

Homework:

4.1#1,2,3,5,7,9,16

4.2#1,2,3,5ad,6ad,8,11

4.3#1-5,7,15,16,21(optional)

Mid Unit Review (optional practice for Quiz)

4.4#1,4,6,17,18(optional)

4.5 #3, 4 / 4.6#4-8,14ad,17

4.7#1-8,11-13,16

Ch Review p.293 #3,5-8,10-13,15,16,18,19

- FM 30 4.1 Counting Principles
- FM 30 4.2 Permutations and Factorial Notation (2018)
- FM 30 4.2 Factorial Equation Solve
- FM 30 4.2 Solving Equations containing Factorial Notation -Examples
- Mr MathWell song – Quadratic Formula
- FM 30 4.3 Permutations (Distinguishable objects)
- FM 30 4.1-4.3 Review – Fundamental Counting Principle, factorial notation, permutations
- FM 30 4.4 Permutations with Repeating Objects
- FM 30 4.4 (part 2) Routes Example
- FM 30 4.5-4.6 Combinations
- FM 30 4.6 Combinations with Fundamental Counting Principle (Example)
- FM 30 4.6 Combinations Example 2 (involving Cases)
- FM 30 4.6 Combinations Word Problem Example
- FM 30 4.7 Solving Counting Problems

FM 30 Ch 4 REVIEW video

Frog Jump game! Can you get all the frogs to the other side???

**Chapter 5 – Probability** (Mar 15 – Mar 28)

Homework:

Getting started activity- A-H and #1-4

5.1 Reflecting questions A,B,C, #1-4

5.2#1-4,7,11,12,15,19

5.3#1-4,15

Mid Unit Review optional to prepare for Quiz

5.4#1-3,4,9,(12 optional), 15

5.5 #1-4,6

5.6#1-3,5,6,9

Review asn’t p. 367 ODD #1-21 (#15 optional)

- FM 30 5.1 Probability Introduction
- FM 30 5.2 Probability and Odds
- FM 30 5.3 Probabilities Using Counting Methods
- FM 30 5.3 #15 homework question
- FM 30 5.4 Mutually Exclusive Events (Probability) 2018
- FM 30 5.4 #1 Probability Mutually Exclusive and Non Mutually Exclusive events
- FM 30 5.4 #2 Homework ques
- FM 30 5.4 Probability of Mutually Exclusive and Non Mutually Exclusive Events
- FM 30 5.5 Conditional Probability
- FM 30 5.5 Conditional Probability Example (#5)
- FM 30 5.5 Conditional Probability Example (#6)
- FM 30 5.6 Independent Events Lesson (#1of2)
- FM 30 5.6 Independent Events Lesson (#2of2)

Ch 5 Review Lesson (2020)

**Chapter 6 – Polynomial Functions** (Mar 28 – Apr 5)

Homework:

6.1#1,2,3abc,4

6.2#1,3,5ace,6,13

Please NOTE: For section 6.3 and 6.4 there are some questions that require graphing technology to complete

6.3#1,2,3,4,6,8,(11 optional)

6.4#3,4,5

Ch Rev p.427 #1-10 all

- FM 30 6.1 Graphs of Polynomial Functions
- FM 30 6.2 Polynomial Graph Characteristics (sem 2 2017)
- FM 30 6.2 Polynomial Graph Characteristics (lesson 2020)
- FM 30 6.3 Line of Best Fit Lesson
- FM 30 6.3 Lines and Curves of Regression with Technology
- FM 30 6.3 Linear Regression using technology homework ques #6
- FM 30 6.3 #11 Homework Question

- FM 30 6.4 Cubic and Quadratic Regression (Ti 83 Plus)
- FM 30 Graphing Calculator Regression function Example
- FM 30 6.4 Finding Maximium or Minimum Values from Regression Function
- FM 30 6.4 Finding intersection points between two functions using graphing technology
- FM 30 6.4 Finding x intercepts in regression functions (TI 83)
- FM 30 6.4 #5 Cubic Regression TI-83 homework question
- FM 30 6.4 #6 Quadradic regression TI-83 homework question

#### Chapter Review Videos

- FM 30 Ch 6 Polynomial Functions REVIEW Video
- FM 30 Ch 5 / 6 review – Probability / Odds and Functions

*Easter break: Apr 7-14*

*Easter break: Apr 7-14*

**Chapter 7 – Exponential and Logarithmic Functions** (Apr 6 – Apr 21)

7.1#1-3

7.2#1-4,6abc,11,18

7.3 #1,2,4

7.4#1,2,4,5abc,8,12

7.5# 1,2,7

Review p.504-6 #1, 2, 4, 5, 7, 8, 10, 11

- FM 30 7.1 Exponential functions (#1of2)
- FM 30 7.1 Exponential functions (#2of2)
- FM 30 7.2 Equations and Characteristics of Exponential Functions
- FM 30 7.3 Exponential Regression
- FM 30 7.4 Logarithms Lesson 2020
- FM 30 7.4 Logarithmic functions base 10 and base e
- FM 30 7.3, 7.5 Exponential and Logarithmic Regression

Ch 7 REVIEW Video

**Chapter 8 – Sinusoidal Functions** (Apr 22 – May 12)

8.1 #1-10

8.2 #1-8

8.3 #1-6,8,9,11

8.4 #1-9,12-14

8.5 #1,3,4,8

Review Asn’t p. 580 #1ac,2ac,3,4a,5,8,9,11

- FM 30 8.1 Radian Measure
- FM 30 8.2 Sine and Cosine Graphs Lesson 2020
- FM 30 8.3 Graphs of Sinusoidal Functions
- FM 30 Ch 8 Mid Unit review – Sinusoidal functions
- FM 30 Graphing Calculator Regression function Example
- FM 30 8.4 Sinusoidal Functions (2019)
- FM 30 8.4 Sinusoidal Functions Lesson 2020
- FM 30 8.5 Sinusoidal Regression (2019)
- FM 30 8.5 Sinusoidal Regression Lesson 2020

Ch 8 REVIEW Video

**Chapter 1 – Financial Mathematics: Investing Money** (May 13 – May 28)

### Homework:

1.1 – #1,2a,3,5,10,12

1.2 – #1-3

1.3 – #1-4,7

1.4 – #1-3,9,10

Quiz 1.1- 1.4

1.5 – #1-5, pick one from #8-20

1.6 – #1-3,5,7

Ch 1 Quiz

Review #1, 3, 4, 6 (#8, 11 optional)

- FM 30 1.1 Simple Interest
- FM 30 1.2 Compound Interest
- FM 30 1.3 Compound Interest – Future Value
- FM 30 1.4 Compound Interest Equations
- FM 30 1.5 Investments involving Regular Payments
- FM 30 1.6 Portfolio Lesson 2020 (using Online Application and TI-83)
- FM 30 1.6 Investment Portfolio Calculations (using TI-83 Calculator application)

**Chapter 2 – Financial Mathematics: Borrowing Money**( May 13 – Jun 7)

Homework:

2.1 #1,3,5,12

2.2 #1-4 (2.1-2.2 Quiz)

2.3 #1-5

2.4 #1,3,5,7,10

Ch 2 review #1,3,4,7

- FM 30 2.1 Loan payments and mortgages
- FM 30 2.1 Amortization tables
- FM 30 2.2-2.3 Credit Card use and Solving Credit problems
- FM 30 2.2 Credit Card Lesson 2020
- FM 30 2.2 Credit Cards
- FM 30 2.3 #1of2 Credit Problems
- FM 30 2.3 #2of2 Credit Problems
- FM 30 2.4 Buy, Lease, or Rent Lesson 2020
- FM 30 2.4 RENT, LEASE, BUY Examples

**FM 30 Project (Mar – June)**

** Curricular Connection**: FM30.8 Research and give a presentation of a current event or an area of interest that requires data collection and analysis. ([C, CN, ME, PS, R, T, V])

Report, original data, presentation outline, as well as Power Point / Digital Presentation all due beginning of math period on the Due date. Any work submitted after this time will not be credited (except for class presentation itself).

## Final Exam Cue Sheet

Mr. Maxwell allows a cue sheet for certain exams – please see him for information on what is allowed to be brought into the final exam. A suggested cue sheet is provided below. This cue sheet will most likely NOT be allowed in the exam but if you are allowed a cue sheet you may create one with this information on it. See Mr. M for details.