Algebra 1A - Fall 2012

Mr. Bujak


In an effort to be totally transparent and to support students 24/7/365.25, this volunteer-maintained and optional area is meant to be a collection of resources during the Fall 2012 semester "Algebra 1A" 0.5 credit course at Hope Charter High School. Applicable resources are also posted with each assessment in Power School Gradebook.

Algebra 1A Syllabus (Fall 2012)

Algebra 1 Curriculum Framework
  • MODULE 1 (Algebra 1A) — Operations and Linear Equations & Inequalities - Algebra 1A course material (Google Drive) - also co-hosted on the \\hcsweb\filesharing HOPE shared network drive
  • MODULE 2 (Algebra 1B) — Linear Functions and Data Organizations

We have a class set of Casio fx300MS calculators - manual.
fx300ms_image.jpg
Casio fx300MS calculator


Algebra_1.Holt,_Rinehart,_and_Winston.2003.jpg
Textbook: Algebra 1, Holt, Rinehart and Winston, 2003, ISBN 0-03-066054-8

There is also a 0.25-inch Algebra 1 Practice Workbook, ISBN 0-03-054288-X, with "Practice" worksheets. Other worksheets will be provided to the students contemporaneously. These are provided below as links as are other appropriate worksheets and other resources for that concept/topic; including, but not limited to Warm-Ups, PowerPoint slides, scanned teacher notes generated during class, short videos, supporting Websites, etc.

All assignments will also have a reference link here in the applicable PowerSchool Gradebook daily assignment description.






HOPE Charter School calendar


SCHEDULE
Unit Topic
(may include)
Length(weeks)
Calendar Dates(includesdays not spent onthe Unit such as
holidays and
standardized
testing days)


Textbook Reference(linked to folder with that sections worksheets)
Standards,
Anchors,
Eligible Content

Algebra 1 resources (from PDE)
Operations with
Real Numbers
and Expressions
3
Sept 19 - Sept 20 (4Sight Testing)
Chapter 1 -
From Patterns to Algebra

Chapter 2 -
Operations in Algebra
.
Standards:

Anchors:
  • A1.1.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).
  • A1.1.1.2 Apply number theory concepts to show relationships between real numbers in problem-solving settings.
  • A1.1.1.3 Use exponents, roots, and/or absolute values to solve problems.
  • A1.1.1.4 Use estimation strategies in problem solving situations.
  • A1.1.1.5 Simplify expressions involving polynomials.

Eligible Content:
  • A1.1.1.1.1 Compare and/or order any real numbers. Note: Rational and irrational may be mixed.
  • A1.1.1.1.2 Simplify square roots
  • A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
  • A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/ or absolute values to solve problems. Note:
    Exponents should be integers from -10 to 10.
  • A1.1.1.4.1 Use estimation to solve problems.
  • A1.1.1.5.1 Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). Note: Nothing larger than a binomial multiplied by a trinomial.
Polynomials
3

Chapter 9 -
Polynomials and Factoring
.
Standards:
  • 2.8.A1.B, 2.1.A1.B, 2.8.A1.B, A1.1.1.5.1, A1.1.1.5.2, A1.1.1.5.3

Anchors:
  • A1.1.1.5 Simplify expressions involving polynomials.

Eligible Content:
  • A1.1.1.5.1 Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). Note: Nothing larger than a binomial multiplied by a trinomial.
  • A1.1.1.5.2 Factor algebraic expressions, including difference of squares and trinomials. Note: Trinomials are limited to the form ax2+bx+c where
    a is equal to 1 after factoring out all monomial factors.
  • A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
Equations
3

Chapter 3 -
Equations
.
Standards:
  • A1.1.2.1.2, A1.1.2.1.1, 2.1.A1.F, 2.8.A1.E, 2.8.A1.F, A1.1.2.1.3

Anchors:
  • A1.1.2.1 Write, solve, and/or graph linear equations using various methods.

Eligible Content:
  • A1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations).
  • A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation-solving process. Note: Linear equations only.
  • A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation. Note: Linear equations only.
Systems of Linear Equations
3

Chapter 7 -
Systems of Equations
and Inequalities
.
Standards:
  • 2.8.A1.E, 2.8.A1.F, A1.1.2.2.1, A1.1.2.2.2

Anchors:
  • A1.1.2.2 Write, solve, and/or graph systems of linear equations using various methods.

Eligible Content:
  • A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination. Note: Limit systems to two linear equations.
  • A1.1.2.2.2 Interpret solutions to problems in the context of the problem
    situation. Note: Limit systems to two linear equations.
Linear Inequalities
3

Chapter 6 -
Inequalities and
Absolute Value
Standards:
  • A1.1.3.1.1, A1.1.3.1.3, A1.1.3.2.1, A1.1.3, 2.1.A1.F, 2.8.A1.E, 2.8.A1.F,2.8.A1.B, 2.8.A1.F

Anchors:
  • A1.1.3.1 Write, solve, and/or graph linear inequalities using various methods.

Eligible Content:
  • A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
  • A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
  • A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation. Note: Limit to linear inequalities.
  • A1.1.3.2.1 Write and/or solve a system of linear inequalities using graphing. Note: limit systems to two linear inequalities.
.


SECTIONAL STUDY WORKSHEET PACKETS

Each textbook section, such as §7.4 Solving Polynomial Equations, will start with a worksheet packet provided to each student to use throughout that section, inside and outside the class.
The typical packet arrangement including all answers will be:
Order
Name
Filename
1
Lesson Opener
LOTrans.pdf
2
Examples (from textbook)
EXTrans.pdf
3
Student Study Guide
STUDY.pdf
4
Reteaching
RETEACH.pdf
5
Practice
PRACTICE.pdf (and PWAK.pdf) .
6
Problem Solving/Critical Thinking
PROBLEM.pdf
7
Quick Warm-Up and Lesson Quiz .
QWTrans.pdf
8
Enrichment (optional)
ENRICH.pdf
If your computer is inside the HOPE Charter School network, then all of the worksheets for all of the chapter sections are available on the \\hcsweb/filesharing HOPE shared network drive.
Outside of the HOPE network, these are available at Algebra 1A course material (Google Drive). Links are also provided to chapter sections below, along with specific worksheets, and worksheet packets (by chapter and section).


ACTIVITIES in REVERSE CHRONOLOGICAL ORDER
Date
Concept/Topic
Teacher
Notes
Handout(s) / Information
Homework (due today)
Supportive Artifacts
(could be used to learn more and explore this topic)









Algebra 1A comprehensive final exam
Keystone Exam - Algebra 1











Semester 1 ends January 25, 2013
This Algebra 1A course ends January 25, 2013


1/25

Mr. Bujak out.



1/24

Mr. Bujak out.



1/23

Mr. Bujak out.



1/22

Mr. Bujak out.



1/21
OFF
Day Off
Day Off: Martin Luther King Day


1/18

Mr. Bujak out.



1/17

Mr. Bujak out.



1/16

PA Keystone Exams: Literature

Mr. Bujak out.
PA Keystone Exams: Literature - 8:30-10:45
Day follows testing schedule.


1/15

PA Keystone Exams: Literature
PA Keystone Exams: Literature - 8:30-10:45
Day follows testing schedule.


1/14

PA Keystone Exams: Biology
PA Keystone Exams: Biology - 8:30-10:45
Day follows testing schedule.


1/11

PA Keystone Examst: Biology
PA Keystone Exams: Biology - 8:30-10:45
Day follows testing schedule.


1/10

PA Keystone Exams: Algebra 1
PA Keystone Exams: Algebra 1 - 8:30-10:45
Day follows testing schedule.

Algebra 1 Keystone information:
http://tinyurl.com/keystone2012
1/9

PA Keystone Exams: Algebra 1
PA Keystone Exams: Algebra 1 - 8:30-10:45
Day follows testing schedule.

Algebra 1 Keystone information:
http://tinyurl.com/keystone2012
1/8





1/7




.
1/4





1/3





1/2





12/20
Solving Equations by Multiplying & Dividing (§3.2)

Warm-Up: Solving Equations by Multiplying & Dividing (§3.2) - 2
worksheets: §3.2 Solving Equations by Multiplying and Dividing


12/19
Solving Equations by Multiplying & Dividing (§3.2)

Warm-Up: Solving Equations by Multiplying & Dividing (§3.2) - 1
worksheets: §3.2 Solving Equations by Multiplying and Dividing

Quiz: Solving Equations by Adding & Subtracting (§3.1)
Quizzes are not provided online.
6 problems + 1 extra credit problem.
Students must show applicable work with a demonstrated strategy for credit. No work earns no credit.
HW Solving Equations by Multiplying & Dividing (§3.2) - 1
§3.2 Reteaching worksheet #2,4,6,8

12/18
Solving Equations by Adding & Subtracting (§3.1)

Warm-Up: Solving Equations by Adding & Subtracting (§3.1) - 2


12/17
Solving Equations by Adding & Subtracting (§3.1)

Warm-Up: Solving Equations by Adding & Subtracting (§3.1) - 1


12/13
Solving Equations by Adding & Subtracting (§3.1)

Warm-Up: Solving Equations by Factoring (§9.8) - 3


12/12
Solving Equations by Factoring (§9.8)

Quiz: Solving Equations by Factoring (§9.8)
Quizzes are not provided online.
3 problems + 1 extra credit problem.
Students must show applicable work with a demonstrated strategy for credit. No work earns no credit.


12/11
Solving Equations by Factoring (§9.8)

Warm-Up: Solving Equations by Factoring (§9.8) - 2


12/10
Solving Equations by Factoring (§9.8)

Warm-Up: Solving Equations by Factoring (§9.8) - 1


12/7
Factoring Quadratic Trinomials (§9.7)

Test: Factoring Quadratic Trinomials (§9.7)
Tests are not provided online.
6 problems + 1 extra credit problem.
Students must show applicable work with a demonstrated strategy for credit. No work earns no credit.


12/6
Factoring Quadratic Trinomials (§9.7)

Warm-Up: Factoring Quadratic Trinomials (§9.7) - 3


12/5
Factoring Quadratic Trinomials (§9.7)

Warm-Up: Factoring Quadratic Trinomials (§9.7) - 2


12/4
Factoring Quadratic Trinomials (§9.7)

Warm-Up: Factoring Quadratic Trinomials (§9.7) - 1


12/3
Factoring Quadratic Trinomials (§9.7)

Warm-Up: Factoring Special Polynomials (§9.6) - 4


11/30
Factoring Special Polynomials (§9.6)

Test: Factoring Special Polynomials (§9.6)
Tests are not provided online.
12 problems + 1 extra credit problem.
Students must show applicable work with a demonstrated strategy for credit. No work earns no credit.


11/29
Factoring Special Polynomials (§9.6)

Warm-Up: Factoring Special Polynomials (§9.6) - 3


11/28
Factoring Special Polynomials (§9.6)

Warm-Up: Factoring Special Polynomials (§9.6) - 2


11/27
Factoring Special Polynomials (§9.6)

Warm-Up: Factoring Special Polynomials (§9.6) - 1


11/26
Factoring Special Polynomials (§9.6)

Warm-Up: Common Factors (§9.5) - 2


11/21
Common Factors (§9.5)

Test: Common Factors (§9.5)
Tests are not provided online.
9 problems + 2 extra credit problem.
Students must show applicable work with a demonstrated strategy for credit. No work earns no credit.


11/20
Common Factors (§9.5)

Warm-Up: Common Factors (§9.5) - 1


11/19
Common Factors (§9.5)

Warm-Up: Multiplying Binomials (§9.3) - 5


11/16
Multiplying Binomials (§9.3)

Quiz: Multiplying Binomials (§9.3)
Quizzes are not provided online.
8 problems + 1 extra credit problem.
Students must show applicable work with a demonstrated strategy for credit. No work earns no credit.


11/15
Multiplying Binomials (§9.3)

Warm-Up: Multiplying Binomials (§9.3) - 4


11/14
Multiplying Binomials (§9.3)

Warm-Up: Multiplying Binomials (§9.3) - 3


11/13
Multiplying Binomials (§9.3)

Warm-Up: Multiplying Binomials (§9.3) - 2











.Quarter 2 above
Quarter 1 below.








9/28





9/27


Test on §6.2 Exponential Functions
.


9/26
Exponential Functions (§6.2)

exponential growth & decay,
classifying equations as linear, quadratic, or exponential,
compound interest formula
.

Review of §6.2 Exponential Functions

Worksheets packet.


9/25
Exponential Functions (§6.2)

compound interest formula
.

§6.2 handout packet

Worksheets packet.


9/24
Exponential Functions (§6.2)

compound interest formula

continue practice on exponential function classification as exponential growth or exponential decay, along with the y-intercept.
also ability classify linear equations, quadratic equations

new material will be the compound interest formula with numerous examples
.
HW originally due 9/21 due next school day. Mr. Bujak was out sick. on 9/21.

9/21


Mr. Bujak out sick
Assigned work. to be handed into substitute.
HW due today will be examined the next school day, 9/24

9/20
Exponential Functions (§6.2)

4Sight standardized test - Mathematics - shortened class periods

linear function vs quadratic function vs exponential growth
function vs exponential decay function. If exponential function now also the y-intercept.
.


9/19
Exponential Functions (§6.2)

4Sight standardized test - Reading Comprehension - shortened class periods

.


9/18





9/17





9/14
(§6.2)
PowerPoint


compound interest formula

Exponential Function song -
www.iamlodge.com/beans/?p=114
9/13
Exponential Functions (§6.2)

quiz

www.biology.arizona.edu/biomath/tutorials/Linear/Basics
_LinearFunctions.html
www.biology.arizona.edu/biomath/tutorials/Quadratic/
QuadFunctBasics.html

quiz
.

www.biology.arizona.edu/biomath/tutorials/
Linear/Problems.html
9/12
Exponential Growth and Decay (6.1)

bacterial growth -
www.biology.arizona.edu/biomath/tutorials/
Exponential/Intro.html

use www.analyzemath.com/expfunction/expfunction.html
to demonstrate the effect of varying variables on the
exponential graph (y-intercept, exponential growth,
exponential decay) and/or
www.shodor.org/interactivate/activities/DataFlyer

www.biology.arizona.edu/biomath/tutorials/applications/
Population.html
.
signed syllabus due 9/12
Great video clip on the exponential function"
www.youtube.com/watch?v=F-QA2rkpBSY

www.biology.arizona.edu/biomath/tutorials/
Exponential/GraphRep.html
9/11
Properties of Exponents (§2.2)

practice with exponents
.

§2.2 Properties of Exponents

Worksheets packet.


9/10
Properties of Exponents (§2.2)

introduction to exponents
PowerPoint
§2.2 Properties of Exponents

Worksheets packet.

Simplifying expressions with exponents
http://nroc.remote-learner.net/mod/scorm/view.php?id=1778

nice tutorial videos:
www.algebasics.com/3way6.html
www.youtube.com/watch?v=RXrb35BUsbg
.
9/7
Operations with Numbers (§2.1)

classifying numbers, properties of real numbers

Type of Real Numbers

Worksheets packet.

http://mathandmultimedia.com/2011/06/24/
irrational-numbers-as-decimals

"Fractions are not numbers"
http://math4teaching.com/2010/07/16/
fraction-is-not-a-number/
9/6
Operations with Numbers (§2.1)

classifying numbers, properties of real numbers
scanned
teacher
class pages from
document camera
Type of Real Numbers

Worksheets packet.


9/4-5
organizational logistics

syllabus

grading

make-up
.
index card:
guess person
Explain syllabus, procedures, code of conduct, grading.

syllabus

make-up (for excused absences): "Guidelines for Students Making Up Work After Absence or Suspension" (Make-up Policy09-10.doc 09/10/2010)
syllabus handed out, back sheet of the signed syllabus due 9/12/2012


• Student Resources


• Graphing Calculators


• Videos (general, specific videos applicable to th math concept are indicated above with that topic)



BELOW NEEDS SOME ORGANIZATION
http://www.mathway.com