Advanced Math is a
college-level mathematics course that will focus on polynomial
equations, trigonometry, polar coordinates, conics and vectors. Many of
the concepts will be challenging and material will move quickly.
Advanced
Math Lesson Plans
Week
of May 24th – End
of Year
|
Date
|
Title/Objective
|
Activities/Homework
|
|
05/24
Monday
|
7.1
Getting Started
|
Page
539 problems 1-8
|
|
05/25
Tuesday
|
7.2
Probability and Pascal's Triangle
|
Page 546 8-14 skip #12 & #13
|
|
05/26
Wednesday
|
7.2
Probability and Pascal's Triangle
|
Page 546 8-14 skip #12 & #13
Notes
|
|
05/27
Thursday
|
Quiz 7.1-7.3 (Seniors Last Day)
|
Senior Calculator Program Due
|
|
05/28
Friday
|
7.3 Polynomial Powers
- Find a polynomial to model a probability experiment and
interpret expansions of its powers
|
Page 553: Problems 7-13 skip #10
|
|
05/31
|
No School
|
|
|
06/01
|
7.4
Expected Value
- Calculate
the expected value of a variable
|
Page
560 8-16 skip #11
Plinko
Game Simulation
|
|
06/02
|
Chapter 7 Quiz/Test --Notes can be used
|
|
|
06/03
|
Review for Semester Tests
|
Practice Test
|
|
06/04
|
Review for Semester Tests
|
|
Week
of May 17th – May 21st
Week
of May 10th – May
14th
|
Date
|
Title/Objective
|
Activities/Homework
|
|
05/10
Monday
|
6.8
Conics Anywhere
- Identify
the equations for the graphs of the conic sections, and
sketch their graphs
|
Page
490 problems 8-15; skip #10 and #14
|
|
05/11
Tuesday
|
Discovering Parabolas
- Create and Analyze a parabolic equation for both
horizontal and vertical parabolas
|
Geogebra
Sketch for parallelogram definition
Dynamic
Geogebra Sketch
Worksheet
|
|
05/12
Wednesday
|
Discovering Parabolas (Continued)
- Create and Analyze a parabolic equation for both
horizontal and vertical parabolas
Compare and Contrast all conic section graphs and
equations
|
Worksheet
|
|
05/13
Thursday
|
Review Conic Sections and Point Tester Equations
|
Practice Test
Answers
to practice test
|
|
05/14
Friday
|
Chapter
6 Test
|
Problem Solving
#5 Due
|
Week
of May 3rd – May 7th
|
Date
|
Title/Objective
|
Activities/Homework
|
|
05/03
Monday
|
Discovering Ellipses
- Create
a point tester equation for an ellipse
|
Notes
|
|
05/04
Tuesday
|
Discovering
Ellipses
·
Graph
an ellipse given the standard form equation
|
Homework: Worksheet
|
|
05/05
Wednesday
|
Discovering
Hyperbolas
·
Create
a point tester equation for a hyperbola
|
Notes--Geogebra
Sketch
|
|
05/06
Thursday
|
Discovering Hyperbolas
- Graph a hyperbola given the
standard form equation
|
worksheet
|
|
05/07
Friday
|
Conics
Quiz over Circles, Ellipses and Hyperbolas
|
Quiz
Problem Solving #4 Due
|
Week
of April 26th –
April 30th
|
Date
|
Title/Objective
|
Activities/Homework
|
|
04/26
Monday
|
6.2 Equations as Point Testers
- Sketch
the graphs of equations in 2 variables
|
Notes
Homework: Page 447 problems 1-4;7-10
skip #9
Homework due Wednesday
|
|
04/27
Tuesday
|
6.2 Equations as Point Testers
·
Sketch
the graphs of equations in 2 variables
|
Homework: Page 447 problems 1-4;7-10
skip #9
|
|
04/28
Wednesday
|
6.3
Coordinates and Proof
·
Use
distance and slope relationships to prove geometric results
|
Notes
|
|
04/29
Thursday
|
6.3
Coordinates and Proof
·
Use
distance and slope relationships to prove geometric results
|
Page 456 7-11; 13-14 skip #10
|
|
04/30
Friday
|
6.4 The Power of a point
- Determine
how to express the equation of a circle in normal form
by completing the
square
|
worksheet
|
Week
of April 19th – April 23rd
|
Date
|
Title/Objective
|
Activities/Homework
|
|
04/19
Monday
|
Chapter
5 Review
|
Page
437 1-11 skip #6
|
|
04/20
Tuesday
|
Chapter
5 Review
|
Worksheet
Answers
to Worksheet
|
|
04/21
Wednesday
|
Chapter
5 Test Part A
|
|
|
04/22
Thursday
|
Chapter
5 Test Part B
|
|
|
04/23
Friday
|
6.1
Getting Started
·
Warm up to the ideas of working
with conics
|
Homework: Page 442
problems 6-11 (skip#9)
|
Week
of April 12th – April 16th
|
Date
|
Title/Objective
|
Activities/Homework
|
|
04/12
Monday
|
5.14 f(n) = A(n-1) +B
- Find
the monthly payments of a loan given the amount of the loan
and number of payments
|
Homework:
For
You To Do:
Page 429 #
2and #3
Check
Your Understanding #1
|
|
04/13
Tuesday
|
5.14 f(n) = A(n-1) +B
·
Find
the monthly payments of a loan given the amount of the loan and
number of payments
|
Homework: page 430 problems 7-11 and
14. (skip #9)
|
|
04/14
Wednesday
(Early
Out)
|
Trout
Pond Activity
·
Use
recursive equations to determine trout populations
|
Worksheet
|
|
04/15
Thursday
|
Trout Pond Activity Day 2
- Determine a closed form equation
to estimate trout pond population
|
Worksheet
|
|
04/16
Friday
|
Chapter
5 Test Review
|
Book Page 437 problem 1-11 skip #6
|
Week
of April 5th - April 9th
|
Date
|
Title/Objective
|
Activities/Homework
|
|
04/05
Monday
|
5.12 Recurrences
- Given
any polynomial function, write it as a recursive equation.
|
Homework: Worksheet
5.12 Part A
|
|
04/06
Tuesday
|
5.12
Recurrences
·
Become
familiar with Geometric Series and Sequences
|
Homework: Worksheet 5.12 Part B
|
|
04/07
Wednesday
|
5.12
Recurrences
·
Generate
Exponential closed form equations from 2-term recurrence
formulas
|
Homework: Page 417 problems 8, 11a,
12,14,15
Notes
|
|
04/08
Thursday
|
5.13
f(n) = Af(n-1) + Bf(n-2)
- Relate a solution to a 2-term
recurrence to a quadratic polynomial
|
Notes
|
|
04/09
Friday
|
No
School
|
|
Week
of March 29th – April 2nd
|
Date
|
Title/Objective
|
Activities/Homework
|
|
03/29
Monday
|
5.9
Newton
’s Difference Formula
- Find
a polynomial Function that fits a difference table
|
Homework:
Worksheet 5.9
|
|
03/30
Tuesday
|
5.10
Sums of Powers
·
Quickly
find rules for summations
|
Notes
Practice Finding Basic Summations
|
|
03/31
Wednesday
|
5.10
Sums of Powers
·
Quickly
find rules for summations
|
Homework: Page 402 problems
7,
10, 12, 13
|
|
03/01
Thursday
|
5.10
Sums of Powers
- Quickly find rules for
summations
|
Worksheet
|
|
03/02
Friday
|
Quiz
Sections 5.1 - 5.10
(Skip 5.4 and 5.5)
|
Quiz
|
Week
of March 22nd – March 26th
|
Date
|
Title/Objective
|
Activities/Homework
|
|
03/22
Monday
|
5.6
Getting Started
- Determine
how certain patterns in difference tables generate different
polynomial functions.
|
Homework:
Worksheet 5.6
|
|
03/23
Tuesday
|
5.7
Properties of Difference Tables
·
Find
a polynomial function that fits a difference table
|
Homework: Page 375 problems 1-5
Page 376 1, 7, 9, 10, 11, 13, 14
|
|
03/24
Wednesday
|
5.8
The Pascal Connection
·
Explain
how the up and over rule relates to Pascal’s Triangle
|
Notes
|
|
03/25
Thursday
|
5.8
The Pascal Connection
- Explain how the up and over rule
relates to Pascal’s Triangle
|
Homework: Page 384 problems 1-4;7, 9,
13, 14
|
|
03/26
Friday
|
Excel
Worksheet
|
Excel
Worksheet
|
Week
of March 8th – March 12th
|
Date
|
Title/Objective
|
Activities/Homework
|
|
03/08
Monday
|
5.1
Getting Started
·
Determine
the domain on which two functions agree
|
How
to enter recursive formulas into your calculator
Homework: Page 343 1-6b; 11 and 12
Problem
Solving #6 Due
|
|
03/09
Tuesday
|
5.2
Two Ways
to Define a Function
|
Homework: Page 349 problems 1-16
|
|
03/10
Wednesday
|
5.3
Multi-step Recursive Definitions
|
Homework:
Page 353 Check your understanding
1, 3, 4 (a-c) 5
|
|
03/11
Thursday
|
5.3
Multi-step Recursive Definition
|
Homework: On Your Own
Page 355
problems 7-12
|
|
03/12
Friday
|
Quiz
Sections 5.1-5.3
|
Quiz
|
Week
of March 1st – March 5th
|
Date
|
Title/Objective
|
Activities/Homework
|
|
03/01
Monday
|
Section
4.11 Connections
·
See the entries of Pascal’s Triangle from a
variety of perspectives
|
Homework: Worksheet
Problem
Solving #5 Due
Distribute Problem Solving #6
|
|
03/02
Tuesday
|
Review
for Chapter 4 Test
|
Practice Test
|
|
03/03
Wednesday
|
Chapter
4 Test
|
Test
|
|
03/04
Thursday
|
Simplex Lock Project
|
Worksheet
|
|
03/05
Friday
|
Simplex Lock Project
|
Worksheet
Distribute Problem #7 (Due Friday March 12th) |