Return To Algebra 1
Semester 1 | Semester 2

Algebra 1
Classwork and Homework Information

Mr. Cantlin's Classes - 2008-2009

Each class begins with a short (5 -10 minute) Bell Exercise (BE).
List of AHSGE Objectives:

Note: Q# = Quarter 1, 2, 3, or 4. W# = Week 1, 2, 3, ...

Q4 W10 5/28/09 Thursday
Class:  
Last day of school - enjoy your summer vacation!

Semester 2 Exam - Period 2.

Homework:
(1.) None.
Q4 W10 5/27/09 Wednesday
Class:  
Study for Semester 2 Exam - Quadratic Equation solving practice for Period 2.

Excel Lab for Period 7 - finding the limit as n==> infinity of the exponential growth function assuming n is the number of compounding periods and the rate, r is 100% = 1.0 ==>
(1+1/n)n.

Related sites of interest:
Homework:
(1.) None.
Q4 W10 5/26/09 Tuesday
Class:  
Excel Lab for Period 2 - finding the limit as n==> infinity of the exponential growth function assuming n is the number of compounding periods and the rate, r is 100% = 1.0 ==>
(1+1/n)n.

Semester 2 Exam - Period 7.

Homework:
(1.) None.
Q4 W10 5/25/09 Monday
No School - Memorial Day
Q4 W9 5/22/09 Friday
Class: 
Review for Semester Exam Using AHSGE Practice Problems.

STANDARD VII: The student will be able to solve problems involving a variety of algebraic and geometric concepts.

OBJECTIVE 7. Solve problems involving direct variation.
OBJECTIVE 8. Solve problems involving algebraic concepts.


Homework:
Study for Semester Exam.
(1). Standard VII Objective 7 - click here for copy.
(2). Standard VII Objective 8 - click here for copy.
Q4 W9 5/21/09 Thursday
Class: 
Review for Semester Exam Using AHSGE Practice Problems.

STANDARD VII: The student will be able to solve problems involving a variety of algebraic and geometric concepts.

OBJECTIVE 5. Determine measures of central tendency.
OBJECTIVE 6. Determine probabilities.


Homework:
Study for Semester Exam.
(1). Standard VII Objective 5 - click here for copy.
(2). Standard VII Objective 6 - click here for copy.
Q4 W9 5/20/09 Wednesday
Class: 
Review for Semester Exam Using AHSGE Practice Problems.

STANDARD VII: The student will be able to solve problems involving a variety of algebraic and geometric concepts.

OBJECTIVE 2. Apply Pythagorean Theorem.
OBJECTIVE 3. Apply properties of similar polygons.
OBJECTIVE 4. Apply properties of plane and solid geometric figures.


Homework:
Study for Semester Exam.
(1). Standard VII Objective 1 - click here for copy.
(2). Standard VII Objective 2 - click here for copy.
(3). Standard VII Objective 3 - click here for copy.
(4). Standard VII Objective 4 - click here for copy.
Q4 W9 5/19/09 Tuesday
Class: 
Review for Semester Exam Using AHSGE Practice Problems.

STANDARD VI: The student will be able to represent problem situations.

OBJECTIVE 1. Translate verbal or symbolic information into algebraic expressions; or identify equations or inequalities that represent graphs or problem situations.

STANDARD VII: The student will be able to solve problems involving a variety of algebraic and geometric concepts.

OBJECTIVE 1. Apply properties of angles and relationships between angles.

Homework:
Study for Semester Exam.
(1). Standard VI Objective 1 - click here for copy.
(2). Standard VII Objective 1 - click here for copy.
Q4 W9 5/18/09 Monday
Class: 
Review for Semester Exam Using AHSGE Practice Problems.

STANDARD V: The student will be able to apply graphing techniques.

OBJECTIVE 1. Graph or identify graphs of linear equations.
OBJECTIVE 2. Graph lines given certain conditions.
OBJECTIVE 3. Graph: Determine solution sets of inequalities.
OBJECTIVE 4. Graph: Identify graphs of common relations.
Homework:
Study for Semester Exam.
(1). Standard V Objective 1 - click here for copy.
(2). Standard V Objective 2 - click here for copy.
(3). Standard V Objective 3 - click here for copy.
(4). Standard V Objective 4 - click here for copy.
Q4 W8 5/15/09 Friday
Class: 
Review for Semester Exam Using AHSGE Practice Problems.

STANDARD II: The student will be able to solve equations and inequalities.

OBJECTIVE 4. Solve multi-step inequalities of first degree.

STANDARD III: The student will be able to apply concepts related to functions.

OBJECTIVE 1. Identify functions.
OBJECTIVE 2. Find the range of functions when given the domain.

STANDARD IV: The student will be able to apply formulas.

OBJECTIVE 1. Find the perimeter, circumference, area, or volume of geometric figures.
OBJECTIVE 2. Find the distance, midpoint, or slope of line segments when given two points.

Note: Cinco de Mayo Celebration in the morning.

Homework:
Study for Semester Exam.
(1). Standard II Objective 4 - click here for copy.
(2). Standard III Objective 1 - click here for copy.
(3). Standard III Objective 2 - click here for copy.
(4). Standard IV Objective 1 - click here for copy.
(5). Standard IV Objective 2 - click here for copy.
Q4 W8 5/14/09 Thursday
Class: 
Review graded Exam 2.

Homework:
(1.) None.
Q4 W8 5/13/09 Wednesday
Class: 
Exam 2.

Homework:
(1.) None.
Q4 W8 5/12/09 Tuesday
Class: 
Review for Semester Exam Using AHSGE and ACT Practice Problems.

STANDARD II: The student will be able to solve equations and inequalities.

OBJECTIVE 3. Solve systems of two linear equations.
OBJECTIVE 4. Solve multi-step inequalities of first degree.

STANDARD III: The student will be able to apply concepts related to functions.

OBJECTIVE 1. Identify functions.
OBJECTIVE 2. Find the range of functions when given the domain.

STANDARD IV: The student will be able to apply formulas.

OBJECTIVE 1. Find the perimeter, circumference, area, or volume of geometric figures.
OBJECTIVE 2. Find the distance, midpoint, or slope of line segments when given two points.

Homework:
Study for Exam 2 and Semester Exam.
(1). Standard II Objective 3 - click here for copy.
(2). Standard II Objective 4 - click here for copy.
(3). Standard III Objective 1 - click here for copy.
(4). Standard III Objective 2 - click here for copy.
(5). Standard IV Objective 1 - click here for copy.
(6). Standard IV Objective 2 - click here for copy.
Q4 W8 5/11/09 Monday
Class: 
Quiz 5.

Homework:
(1.) None.
Q4 W7 5/8/09 Friday
Class: 
Review for Semester Exam Using AHSGE and ACT Practice Problems.

STANDARD I: The student will be able to perform basic operations on algebraic expressions.

OBJECTIVE 1. Apply order of operations.
OBJECTIVE 2. Add and subtract polynomials.
OBJECTIVE 3. Multiply polynomials.
OBJECTIVE 4. Factor polynomials.

STANDARD II:The student will be able to solve equations and inequalities.

OBJECTIVE 1. Solve multi-step equations of first degree.
OBJECTIVE 2. Solve quadratic equations that are factorable.

Note: Morning Activity schedule for Class Basketball Game.

Homework:
Study for Quiz 5 Monday:
(1.) Standard I Objective 1 Problems - click here for copy.
(2.) Standard I Objective 2 Problems - click here for copy.
(3.) Standard I Objective 3 Problems - click here for copy.
(4.) Standard I Objective 4 Problems - click here for copy.
(5.) Standard II Objective 1 Problems - click here for copy.
(6.) Standard II Objective 2 Problems - click here for copy.
Q4 W7 5/7/09 Thursday
Class: 
Review for Semester Exam Using AHSGE and ACT Practice Problems.

STANDARD I: The student will be able to perform basic operations on algebraic expressions.

OBJECTIVE 1. Apply order of operations.
OBJECTIVE 2. Add and subtract polynomials.
OBJECTIVE 3. Multiply polynomials.
OBJECTIVE 4. Factor polynomials.

STANDARD II:The student will be able to solve equations and inequalities.

OBJECTIVE 1. Solve multi-step equations of first degree.
OBJECTIVE 2. Solve quadratic equations that are factorable.

Note: Period 7 students (six) leave at 2 p.m. for Big Brothers/Big Sisters meeting.

Homework:
(1.) Standard I Objective 1 Problems - click here for copy.
(2.) Standard I Objective 2 Problems - click here for copy.
(3.) Standard I Objective 3 Problems - click here for copy.
(4.) Standard I Objective 4 Problems - click here for copy.
(5.) Standard II Objective 1 Problems - click here for copy.
(6.) Standard II Objective 2 Problems - click here for copy.
Q4 W7 5/6/09 Wednesday
Class: 
Review for Semester Exam Using AHSGE and ACT Practice Problems.

STANDARD I: The student will be able to perform basic operations on algebraic expressions.

OBJECTIVE 1. Apply order of operations.
OBJECTIVE 2. Add and subtract polynomials.
OBJECTIVE 3. Multiply polynomials.
OBJECTIVE 4. Factor polynomials.

STANDARD II:The student will be able to solve equations and inequalities.

OBJECTIVE 1. Solve multi-step equations of first degree.
OBJECTIVE 2. Solve quadratic equations that are factorable.

Note: School Out at 1 pm for weather. Also, half of 2nd Period and most of 3rd in Hallway for weather alert.

Homework:
(1.) Standard I Objective 1 Problems - click here for copy.
(2.) Standard I Objective 2 Problems - click here for copy.
(3.) Standard I Objective 3 Problems - click here for copy.
(4.) Standard I Objective 4 Problems - click here for copy.
(5.) Standard II Objective 1 Problems - click here for copy.
(6.) Standard II Objective 2 Problems - click here for copy.
Q4 W7 5/5/09 Tuesday
Class: 
Note: Class basketball games = morning activity and all Period 4.

Review graded Quiz 4.

Homework:
(1.) None.
Q4 W7 5/4/09 Monday
Class: 
Quiz 4.

Homework:
(1.) None.
Q4 W6 5/1/09 Friday
Class: 
Review Ch. 10-5 & 10-6 for Quiz 4.

Homework:
(1.) Finish HW 6 WS 10-5 & 10-6 - click here for copy.
(2.) Bonus: Examine the limit, as n ==> positive infinity of (1+1/n)n -
(which is like infinite compounding with an r of 1)
Q4 W6 4/30/09 Thursday
Class: 
Homework 6 Worksheet Ch. 10-5 and 10-6, Exponential Functions and Exponential Growth and Decay.

Homework:
(1.) Finish HW 6 WS 10-5 & 10-6 - click here for copy.
Q4 W6 4/29/09 Wednesday
Class: 
Practice: Ch. 10-5 and 10-6, Exponential Functions and Exponential Growth and Decay.

Notes:
1.) Students allowed to checkout early for 1 p.m. softball game.
2.) Morning Activity schedule to issue progress reports.
3.) Ninth Graders called out of 2nd Period to register for next year's classes.

Homework:
(1.) None.
Q4 W6 4/28/09 Tuesday
Class: 
Homework review. Practice: Ch. 10-5 and 10-6, Exponential Functions and Exponential Growth and Decay.

Note: Dawg Wars starts at 9:15 a.m.

Homework:
(1.) None.
Q4 W6 4/27/09 Monday
Class: (today's class notes - click here for copy) 
Ch. 10-5 and 10-6, Exponential Functions and Exponential Growth and Decay.

Growth: A = A0(1+r)x
Decay: A = A0(1-r)x
Where:
A = y = Ending Amount, A0 = Starting Amount (value of y when x = 0),
r = rate of change (% per change as a decimal), x = number of changes.

Note: Period 2 dismissed 16 minutes early for seminar on nursing program.

Homework:
(1.) Page 563 #6-10.

More help: below are some sites related to exponential functions, for checking an online financial calculator, use a problem that you know the answer to, for example, the one in our notes; Starting value = Principal = $5000, rate is 3%, time is 2 years, compounding is quarterly, the total ending value should be $5307.99 or $307.99 earned in interest:
Q4 W5 4/24/09 Friday
Class: 
Review graded Q4 Exam 1.

Note: Morning Activity Schedule for Snake Show.

Homework:
(1.) None.
Q4 W5 4/23/09 Thursday
Class: 
Q4 Exam 1.

Homework:
(1.) None.
Q4 W5 4/22/09 Wednesday
Class: 
Worksheet: Ch. 8-3, Scientific Notation and 14-1, Counting Outcomes.

Homework:
(1.) Finish HW 5 WS 8-3 and 14-1 - click here for copy.
Q4 W5 4/21/09 Tuesday
Class: (today's class notes - click here for copy) 
Ch. 14-1, Counting Outcomes, the FCP (Fundamental Counting Principle).

Homework:
(1.) Read Ch. 14-1,
(2.) Page 756 #1-8.
Q4 W5 4/20/09 Monday
Class: (today's class notes - click here for copy) 
Welcome back! Collect Hypsometer Projects. Ch. 8-3, Scientific Notation.

Homework:
(1.) Read Ch. 8-4,
(2.) Page 428-429 #1, 2, 26-29, 30-40 evens, 44, 45, 51.
Q4 W4 4/13/09 - 4/17/09 Monday - Friday
No School - Spring Break - Go Play Outside:-)
Q4 W3 4/10/09 Friday
Class: 
Review graded Quarter 4 Quiz 3.

Introduction: Hypsometer Homework Project.

Note: classes dismissed at noon for water main break.

Homework:
(1.) Hypsometer Homework Project - click here for copy.
(2.) Have a Super Spring Break! :-).
Q4 W3 4/9/09 Thursday
Class: 
Quarter 4 Quiz 3.

Homework:
(1.) Table of Sin, Cos, and Tan from 0 to 90 Degrees - click here for copy.
Q4 W3 4/8/09 Wednesday
Class: 
Quarter 4 Homework 3 Worksheet 11-7 The Trigonometric Functions.

Homework:
(1.) Finish WS 11-7 - click here for copy.
(2.) Table of Sin, Cos, and Tan from 0 to 90 Degrees - click here for copy.
Q4 W3 4/7/09 Tuesday
Class: (today's class notes - click here for copy) 
Continue Ch. 11-7, The Trigonometric Functions. Solving triangles using the Sin, Cos, and Tan. Definition: angle of elevation and angle of depression.

Homework:
(1.) Page 629 #43-46, 52-55.
(2.) Table of Sin, Cos, and Tan from 0 to 90 Degrees - click here for copy.
Q4 W3 4/6/09 Monday
Class: (today's class notes - click here for copy) 
Return/review graded Quiz 2 and Homework 2.

Ch. 11-7, The Trigonometric Ratios ==> sine, cosine, and tangent. Memory aid: SOHCAHTOA. Finding the sin, cos, and tan of angles, finding the angles that have a value for their sin, cos, and tan, these are the "inverse" sin, cos, and tan functions written as sin-1, cos-1, and tan-1.

Table of Sin, Cos, and Tan from 0 to 90 Degrees - click here for copy.

This link has a simple online calculator used to use the find the sin, cos, and tan of an angle or, by putting in the value of the sin, cos, or tan you can find the angle by using the "INV" sin-1, cos-1, and tan-1 function. Read the short instructions before using this online calculator. It worked fine on my browser, your mileage may vary. There are too many online calculators to count, if you don't like this one find one you do like! Any spreadsheet (like Excel) will also do trig functions.
Homework:
(1.) Memorize the 3 trigonometric ratios,
(2.) Read Pages 623-624,
(3.) Page 627 #4-11,
(4.) Read: "Why Drawings Are Important" - click here to read,

More help: below are some nice explanations of the "trig" ratios for you to explore:
Q4 W2 4/3/09 Friday
Class:  
Quiz 2.

Homework:
(1.) None.
Q4 W2 4/2/09 Thursday
Class:  
Worksheet Ch. 6-4, Compound Inequalities and Ch. 11-6, Similar Triangles.

Homework:
(1.) Finish Q4 HW2 WS6-1 and 11-6 - click here for copy.
Q4 W2 4/1/09 Wednesday
Class: (today's class notes - click here for copy) 
Group Practice: Ch. 6-4, Compound Inequalities - Page 344 #1-10.

Homework:
(1.) Page 342 #30-33, Page 619 #10, 28.
Q4 W2 3/31/09 Tuesday
Class: (today's class notes - click here for copy) 
Ch. 6-4, Compound Inequalities, solving and graphing "AND" and "OR" compound inequalities.

Homework:
(1.) Read Ch. 6-4,
(2.) Page 342 #14-22.
Q4 W2 3/30/09 Monday
Class: (today's class notes - click here for copy) 
Return/review graded Q4 Quiz 1. Ch. 11-6, Similar Triangles ==> the corresponding sides of similar triangles are in proportion and the corresponding angles of similar triangles are equal.

Homework:
(1.) Read Ch. 11-6,
(2.) Page 619 #11-14, 17-19.
Q4 W1 3/27/09 Friday
Class:  
Quarter 4 Quiz 1.

Homework:
(1.) None.
Q4 W1 3/26/09 Thursday
Class: 
Worksheet Ch. 11-3 to 11-5.

Homework:
(1.) Finish HW1 WS 11-3 to 11-5 - click here for copy,
(2.) Review/memorize the exponent rules - click here for copy.
Q4 W1 3/25/09 Wednesday
Class: (today's class notes - click here for copy) 
Ch. 11-5, The Distance Formula. The Midpoint Formula. TIP: try entering "midpoint formula" in the Google custom search box I put on the bottom of the home page of bulldogmath.com to find out more about this formula.

Homework:
(1.) Read Ch. 11-5,
(2.) Page 613 #13-17 (find distance AND midpoint) plus #29. -click for answers,
(3.) Review/memorize the exponent rules - click here for copy.
Q4 W1 3/24/09 Tuesday
Class: (today's class notes - click here for copy) 
Practice: Ch. 11-3, Solving Radical Equations. Review of the 6 exponent rules. The vocabulary of right triangles. Ch. 11-4 The Pythagorean Theorem.

Homework:
(1.) Read Ch. 11-4,
(2.) Page 608 #13-37 every third problem, i.e., 13, 16, ...
(3.) Review/memorize the exponent rules - click here for copy.
Q4 W1 3/23/09 Monday
Class: (today's class notes - click here for copy) 
Ch. 11-3, Radical Equations. Definition of radical equation, how to solve a radical equation, definition of extraneous solutions and the reason they may occur when solving radical equations, how to determine if a solution is extraneous.

Homework:
(1.) Read Ch. 11-3,
(2.) Page 601 #17-19, 26-28, 33, 35-37.
Q3 W11 3/20/09 Friday
No School - March Holidays
Q3 W11 3/19/09 Thursday
No School - March Holidays
Q3 W11 3/18/09 Wednesday
Class:  
Period 2: Quarter 3 Exam 3.

Period 7: Practice for the ACT.

Homework:
(1.) Have a nice 4 - day weekend!.
Q3 W11 3/17/09 Tuesday
Class:  
Period 7: Quarter 3 Exam 3.

Period 2: Practice for Quarter 3 Exam 3.

Homework:
(1.) Study for Exam 3 - click here for practice problem set #2.
Q3 W11 3/16/09 Monday
Class:  
Lapboard Practice for End of Quarter 3 Exam (Exam 3).

Homework:
(1.) Study for Exam 3 - click here for practice problem set #1.
Q3 W10 3/13/09 Friday
Class:  
Practice AHSGE - Science (Biology).

Homework:
(1.) None.
Q3 W10 3/12/09 Thursday
Class:  
Practice AHSGE - Social Studies.

Homework:
(1.) None.
Q3 W10 3/11/09 Wednesday
Class:  
Practice AHSGE - Language.

Homework:
(1.) None.
Q3 W10 3/10/09 Tuesday
Class:  
Practice AHSGE - Reading.

Homework:
(1.) None.
Q3 W10 3/9/09 Monday
Class:  
Practice AHSGE - Math.

Homework:
(1.) Study answer key for math practice test - click here for copy.
Q3 W9 3/6/09 Friday
Class:  
Review graded Exam 2.

Homework:
(1.) None.
Q3 W9 3/5/09 Thursday
Class:  
Exam 2.

Homework:
(1.) AHSGE Workbook Page 88 to 114 Sample Test.
Q3 W9 3/4/09 Wednesday
Class:  
The area of trapezoids, finding the probability of multiple events.

Quiz 7 and 8 (double quiz) ==> solve ax2+bx+c=0 by completing the square.

Homework:
(1.) Study for Exam 2,
(2.) AHSGE Workbook Page 88 to 114 Sample Test.
Q3 W9 3/3/09 Tuesday
Class: (today's class notes - click here for copy) 
Review: the geometry of parallel lines cut by a transversal, supplementary and complementary angles, convex polygons, the interior angles of convex polygons, the Pythagorean Theorem, function notation, finding the domain and range of functions. Issue the AHSGE Workbook (you may write in this book - put your name on it!).

AHSGE Reference Sheet - click here for copy.

Homework:
(1.) Study for Exam 2,
(2.) AHSGE Workbook Page 88 to 114 Sample Test,
(3.) Practice solving ax2+bx+c=0 by completing the square.
Q3 W9 3/2/09 Monday
Class: (today's class notes - click here for copy) 
Finish Ch. 10-4, special cases when solving quadratic equations: b = 0 or c = 0.

AHSGE Reference Sheet - click here for copy.

Homework:
(1.) Page 550, #24-27,
(2.) Practice solving ax2+bx+c=0 by completing the square,
(3.) Look for web sites that help with this week's assignments.
Q3 W8 2/27/09 Friday
Class:(today's class notes - click here for copy) 
Ch. 10-4, The Quadratic Formula.

Homework:
(1.) Page 550, #14 - 20.
(2.) Practice solving ax2+bx+c=0 by completing the square.
Q3 W8 2/26/09 Thursday
Class: 
Group Practice: Page 844 Lesson 11-2, simplifying radicals.

Homework:
(1.) None.
Q3 W8 2/25/09 Wednesday
Class: 
Homework review and practice: simplifying radicals.

Homework:
(1.) None.
Q3 W8 2/24/09 Tuesday
Class: (today's class notes - click here for copy) 
Continue Ch. 11-1 and 11-2. Definition of "conjugates". How to rationalize a denominator by using "conjugates".

Homework:
(1.) Page 590, #27-28, 33-37, 39, 40,
(2.) Page 595 #10-12, 33,
(3.) Solve: 3x2 + 4x -8 = 0 Bonus: check answers.
Q3 W8 2/23/09 Monday
Class: (today's class notes - click here for copy) 
Return/review graded Quiz 6 and Homework 6, 7.

Ch. 11-1 and 11-2. Rules for simplifying radicals ==> (1) do not leave any perfect square factors under the radical sign, and (2) never leave a radical in the denominator (bottom) of a fraction (you must "rationalize the denominator"). This also means never leave a fraction under a radical since the bottom is a radical. Adding and subtracting radical expressions ==> expressions with like radicals can be combined. Multiplying radicals.

Homework:
(1.) Page 589-590, #4-6, 9-10, 15-21,
(2.) Page 595 # 4-9.
Q3 W7 2/20/09 Friday
Class: 
Q3 Quiz 6.

Homework:
(1.) None.
Q3 W7 2/19/09 Thursday
Class: 
Worksheet 10-3, Solving Quadratic Equations by Completing the Square.

Homework:
(1.) Q3 HW7 WS 10-3 - click here for copy.
Q3 W7 2/18/09 Wednesday
Class: (today's class notes - click here for copy) 
Practice: Ch. 10-3, Solving Quadratic Equations by Completing the Square.

Homework:
(1.) Page 576 #23-26.
Q3 W7 2/17/09 Tuesday
Class: (today's class notes - click here for copy) 
Ch. 10-3, Solving Quadratic Equations by Completing the Square.

Homework:
(1.) Four (4) problems - see class notes.
Q3 W7 2/16/09 Monday
No School - President's Day
Q3 W6 2/13/09 Friday
Class:  
Quiz 5.

Progress Reports (Midterms) Issued.

Homework:
(1.) None.
Q3 W6 2/12/09 Thursday
Class:  
Worksheet: Ch. 10-1 to 10-2, Graphing Quadratic Functions.

Homework:
(1.) HW 6 WS 10-1 to 10-2 - click here for copy.
Q3 W6 2/11/09 Wednesday
Class:  
Review homework and practice: Ch. 10-1 and Ch. 10-2, graphing the quadratic function (parabolas) and examining the roots (solutions) of the quadratic equation.

Homework:
(1.) Page 536-537, #35 - 39 - click here for answers.
Q3 W6 2/10/09 Tuesday
Class: (today's class notes - click here for copy) 
Ch. 10-2, Solving Quadratic Equations By Graphing. Definition of "roots" of the quadratic equation and "zeros" of the quadratic function. The meaning of a positive discriminant (2 real roots = parabola crosses x-axis twice), a zero discriminant (1 real root = parabola vertex is on the x-axis), and a negative discriminant (0 real roots = parabola never crosses x-axis).

Homework:
(1.) Read Ch. 10-2,
(2.) Page 535-536 #1, 2, 4-6.
Q3 W6 2/9/09 Monday
Class: (today's class notes - click here for copy) 
Ch. 10-1, Graphing Quadratic Functions (Parabolas) ==>
y = f(x) = ax2 +bx+c where x = -b/2a is the axis of symmetry and the x-coordinate of the vertex and, if a is positive the parabola opens up and if it is negative the parabola opens down. Memory aid: positive a = "smiley face" parabola. Also, using symmetry to build a "smart" T-Table. Using f(-b/2a) to find the y coordinate of the vertex. Maximum and minimum values of the parabola.

Homework:
(1.) Read Ch. 10-1,
(2.) Page 528 #1 - 3, 6, 9, 18.
Q3 W5 2/6/09 Friday
Class:  
The geometry of a parabola. Definition of a parabola's directrix and focus. The geometric definition of a parabola as the set of points in a plane equidistant from a line (the directrix) and a point (the focus). Finding the equation of the "axis of symmetry" ==> the vertical line that cuts a parabola in half, its equation is x = -b/2a. Construction of a parabola using a directrix and focus and wax paper.

Homework:
(1.) Good luck at state Freddy and Phil!
(2.) Look up "parabola interactive" in Google and explore the parabola's properties. Here are some good parabola examples if you can't find any:
Q3 W5 2/5/09 Thursday
Class:  
Quarter 3 Exam 1.

Homework:
(1.) Good luck at state Freddy and Phil!
Q3 W5 2/4/09 Wednesday
Class:  
Homework 5 Worksheet 9-5 to 9-6, Factoring and Solving Quadratic Expressions and Equations.

Homework:
(1.) HW 5 WS 9-5 to 9-6 - click here for copy.
Q3 W5 2/3/09 Tuesday
Class:  
Practice (lapboards): Ch. 9, factoring polynomials and solving quadratic equations by factoring.

Homework:
(1.) Study Quiz 1 to 4 for Exam 1 this Thursday.
Q3 W5 2/2/09 Monday
Class: (today's class notes - click here for copy) 
Return/review graded Homework 4/Quiz 4. Ch. 9-5 and 9-6, factoring a "difference of squares" ==> a2 - b2 = (a-b)(a+b) and factoring "perfect square trinomials" ==> (a+b)2 = a2+2ab+b2 and (a-b)2 = a2-2ab+b2. Solving equations by taking the square root of both sides ==> make sure your solution has a plus or minus in front so that you find BOTH solutions. How to find the square root of a fraction.

Homework:
(1.) Page 518, #53 to 55, 57, 61, 63.
(2.) Study Quiz 1 to 4 for Exam 1 this Thursday.
Q3 W4 1/30/09 Friday
Class:  
Quiz 4.

Homework:
(1.) None.
Q3 W4 1/29/09 Thursday
Class:  
Homework 4 Worksheet 9-4, Solving Quadratic Equations By Factoring -
click here for copy.

Homework:
(1.) HW 4 WS 9-4 - click here for copy.
Q3 W4 1/28/09 Wednesday
Class:  
Practice: factoring quadratics using the "magic numbers method".

Homework:
(1.) None - except Period 2 slackers need to do Tues. night's homework! :-(
Q3 W4 1/27/09 Tuesday
Class: (today's class notes - click here for copy) 
A factoring shortcut: when factoring quadratics if a = 1 you don't need to factor by grouping, you can write the factors using the two "magic numbers." Definition of the discriminant d = b2 - 4ac and using the discriminant to determine if the quadratic can be factored or not, unless d is a perfect square the quadratic can not be factored - in other words, the magic numbers don't exist.

Homework:
(1.) Page 499 #14 to 25 + find the discriminant for each problem and interpret it.
Q3 W4 1/26/09 Monday
Class: (today's class notes - click here for copy) 
Return/review graded Homework 3 and Quiz 3.

Solving quadratic equations in standard form by factoring using the "magic number" method. That is, solving:

ax2 + bx+ c = 0 by finding two magic numbers whose:
sum is b and whose product is ac.

Use these numbers to split the middle x1 term into two terms then factor the resulting 4-term polynomial by grouping. Once factored, use the Zero Product Property to find the two solutions to the equation.

Homework:
(1.) Page 499 #10 to 12 and #35 to 38.
Q3 W3 1/23/09 Friday
Class:  
Quiz 3.

Homework:
(1.) None.
Q3 W3 1/22/09 Thursday
Class:  
Homework 3, Worksheet 9-2, Factoring By Grouping - click here for copy.

Homework:
(1.) HW 3 WS 9-2 - click here for copy.
Q3 W3 1/21/09 Wednesday
Class: (today's class notes - click here for copy) 
Continue Ch. 9-2, FBG ==> Factor By Grouping. This is our second factoring technique for factoring polynomials (pulling out the GCF and undoing the Distributive Property was the first). FBG is used (tried, because it may not work since not all polynomials can be factored) on polynomials with 4 or more terms.

Welcome to Algebra 1 Savannah and Courtney!

Homework:
(1.) Page 484 #28 - 32.
Q3 W3 1/20/09 Tuesday
Class: (today's class notes - click here for copy) 
Return/review graded Homework 2 and Quiz 2. Factoring polynomials by "undoing" the Distributive Property. ZPP - the Zero Product Property. Using the GCF and ZPP to solve a type of second degree polynomial equation. Checking both solutions of a second degree polynomial equation.

Homework:
(1.) Read Ch. 9-2,
(2.) Page 484 #4 - 12.
Q3 W3 1/19/09 Monday
No School - Martin Luther King Holiday.
Q3 W2 1/16/09 Friday
Class:  
Quiz 2.

Homework:
(1.) None.
Q3 W2 1/15/09 Thursday
Class:  
Homework 2 Worksheet 8-8 to 9-1, Slope - click here for copy.

Homework:
(1.) HW2 WS 8-8 to 9-1 - click here for copy.
Q3 W2 1/14/09 Wednesday
Class:  
Practice: Ch. 9-1, finding the GCF of monomials and Ch. 8-8, three special patterns involving multiplying binomials.

Semester 1 Report Cards Issued.

Homework:
(1.) None.
Q3 W2 1/13/09 Tuesday
Class: (today's class notes - click here for copy) 
Finish Ch. 9-1, doing a prime factorization of a negative integer, using a prime factorization to find all the factors of a number, finding the GCF of monomials.

Homework:
(1.) Page 478 #40-42, 48-61.
Q3 W2 1/12/09 Monday
Class: (today's class notes - click here for copy) 
Return and review graded Homework 1 and Quiz 1. Ch. 9-1, prime factorization and finding factors by using a prime factorization. Definition of prime and composite numbers. Ch. 8-8, three special binomial products and the patterns they have when the binomials are multiplied:

(a+b)2 = (a+b)(a+b) = a2 + 2ab +b2
(a-b)2 = (a-b)(a-b) = a2 - 2ab +b2
(a+b)(a-b) = a2 - b2

Homework:
(1.) Read Ch. 8-8,
(2.) Page 461 #5-10, Page 477 #1, #4-9.
Q3 W1 1/9/09 Friday
Class:  
Quarter 3 Quiz 1.

Homework:
(1.) None.
Q3 W1 1/8/09 Thursday
Class:  
Homework 1 Worksheet 8-5 to 8-7 ==> click here for copy.

Homework:
(1.) HW 1 WS 8-5 to 8-7 - click here for copy.
Q3 W1 1/7/09 Wednesday
Class: (today's class notes - click here for copy) 
Ch. 8-7, Multiplying Polynomials including the "Foil" method for multiplying two binomials, note: using "arrows" is better!

Homework:
(1.) Pg. 455 #13-37 every third i.e. 13, 16, 19,...,
(2.) Pg. 448, #62 (from yesterday).
Q3 W1 1/6/09 Tuesday
Class: (today's class notes - click here for copy) 
Welcome back! Divisibility Rules for 3 and 9 ==> the "sum of the digits" must be divisible by 3 or 9. Review of Ch. 8-1, 8-2, and 8-3 ==> multiplying and dividing monomials using the six exponent rules, definition of monomial and polynomial, degrees of monomials and polynomials, and definition of like terms.

Ch. 8-5, adding and subtracting polynomials, Ch. 8-6, multiplying a polynomial by a monomial.

Homework:
(1.) Pg. 441, #12-22 evens, #30,
(2.) Pg. 446-448, #15, 22, 26, 34, 38, 62.
Q3 W1 1/5/09 Monday
Class: 
No school - teacher work day.

Homework:
(1.) None.

 
Return To Algebra 1
Semester 1 | Semester 2