Tuesday, August 14, 2007
Monday, August 13, 2007
Syllabus for Pre-AP Algebra 2 - 2007-2008
1. Syllabus for Pre-AP Algebra 2 (2007-2008)
2. So What? Go Ahead and See What & How You'll Learn Math in AP (Topics Outline for AP Calculus - College Board)
3. Course Outline for Pre-AP Algebra 2 (2007-2008)(Updated: 9.2.2007)
4. AP Avenue: Model TEKS-Aligned Projects That You Can Do To Master Parts of Algebra 2
5. Precalculus Links and Resources for All (2007-2008)
Assignments for Week 1 (August 27th-31st) and Week 2 (9.4.2007-9.8.2007)
Week 11. McDougal Littell Resources for Week 1: Two Assignments: 1) AP- Working with Irrational Numbers; 2) Pre-AP Algebra Review * Summer Packet Diagnostic & Test Prep
Week 2: Assignments: Complete your Frayer model for the term "function" using your Math Dictionary in Class to define it and then providing your own examples (graphs, pictures, words, equations and numbers) to personalize it. The Frayer Model can be downloaded here.
2. Daily Work and Warm-Up Problems 
(GPVAN & The Sweet Sixteen by ROYGBIV)
3. Virtual Enrichment For Algebra 2 Assignments (Quizlab et al)
[Each Pre-AP student has his or her own electronic Quizlab account customized and TEKS-aligned to his or her Algebra 2 needs. All McDougal Littell Assignments Can Be Completed Through Quizlab.]
How to logon to Quizlab:Go to http://www.quizlab.com/
Click on the Student login link on upper left side.
Then click on Single Class login.
Your Classword will be "Pre-AP#" (i.e. your class period number). If this does not work, type in your ID number.
This is not a breach of confidentiality to give you a general clue. Your current password will be your first initial and some combination of last name letters (see your individual information). You may change your password after tonight. Let me know in advance, please.
Click on the links for Assigned Quizzes et al. Complete the test assigned to you for tonight.
Blog comment or e-mail if there are further questions or wait for the tutorial during class.
4. SAT Fat Cat
5. Laying The Foundation - Activities & Problems of the Week:
Week 1 Activities: Introducing Interval Notation
6. Discovering Advanced Algebra (Key Curriculum Press)
7. Mastery of Linear Functions: Welcome to Market Browser (Download)
Quiz & Other Credits (Listed by Student Selected Alias)
Week One Credits (Cumulative and Itemized)
1. Students Receiving Summer Packet Credit (By Period)
2. Students Receiving Pre-AP Summer Packet Test Credit (Indicates if Passed)
Sunday, August 12, 2007
Model Algebra 2 Benchmark Test (Foundation of Functions)(Form A)
Greetings Noble Colleagues, Parents and Students:
The attached offers a sample of what a current
Algebra 2 benchmark might include, based on both TEKS and CLEAR sequencing. Please note that subsequent quizzes, tests and diagnostics will be aligned with both curriculum and client needs and expectations. In any case, hope this helps!
1. Model Benchmark Test (PDF Format)
The attached offers a sample of what a current
Algebra 2 benchmark might include, based on both TEKS and CLEAR sequencing. Please note that subsequent quizzes, tests and diagnostics will be aligned with both curriculum and client needs and expectations. In any case, hope this helps!
1. Model Benchmark Test (PDF Format)
Saturday, August 11, 2007
Thursday, August 2, 2007
Properties and Real Numbers
Review and Intro to Algebra 2
Properties and Real Numbers
Taken together, the rational and irrational numbers make up the set of real numbers.
The following examples illustrate some characteristics and properties of real numbers.
1. Classify Real Numbers
a. Whole numbers: a subset of the real numbers; A whole number is either 0 or one of
the “counting numbers,” 1, 2, 3, . . .
b. Integers: A subset of the real numbers; The integers are the set of whole numbers and
their opposites, . . . 23, 22, 21, 0, 1, 2, 3, . . .
c. Rational numbers: A subset of the real numbers; A rational number can be expressed
as the ratio of two integers, and its decimal form terminates or repeats.
d. Irrational numbers: A subset of the real numbers; An irrational number cannot be
expressed as the ratio of two integers, and its decimal form neither terminates nor repeats.
2. Order of Operations: Established rule for evaluating an expression involving more
than one operation:
Step 1: Evaluate expressions inside grouping symbols.
Step 2: Evaluate powers.
Step 3: Multiply and divide from left to right.
Step 4: Add and subtract from left to right.
Properties and Real Numbers
Taken together, the rational and irrational numbers make up the set of real numbers.
The following examples illustrate some characteristics and properties of real numbers.
1. Classify Real Numbers
a. Whole numbers: a subset of the real numbers; A whole number is either 0 or one of
the “counting numbers,” 1, 2, 3, . . .
b. Integers: A subset of the real numbers; The integers are the set of whole numbers and
their opposites, . . . 23, 22, 21, 0, 1, 2, 3, . . .
c. Rational numbers: A subset of the real numbers; A rational number can be expressed
as the ratio of two integers, and its decimal form terminates or repeats.
d. Irrational numbers: A subset of the real numbers; An irrational number cannot be
expressed as the ratio of two integers, and its decimal form neither terminates nor repeats.
2. Order of Operations: Established rule for evaluating an expression involving more
than one operation:
Step 1: Evaluate expressions inside grouping symbols.
Step 2: Evaluate powers.
Step 3: Multiply and divide from left to right.
Step 4: Add and subtract from left to right.
Making Meaning of the Code-Packet Process Mastery
A. Thinking about Definitions
B. Packet Process Part Two: Order of Operations:
The Order of operations is an established rule for evaluating an expression involving more
than one operation:
Step 1: Evaluate expressions inside grouping symbols.
Step 2: Evaluate powers.
Step 3: Multiply and divide from left to right.
Step 4: Add and subtract from left to right.
C. Expressions, Equations, and Inequalities
A variable is a letter used to represent one or more numbers. An algebraic expression
is made from numbers, variables, and algebraic operations.
The following examples describe how expressions can be evaluated, combined, written, and used to write algebraic equations and inequalities.
1. Evaluating Expressions (Part 3 of your review)
Evaluate an expression involves the following process:
Step 1: Substitute a number for the variable,
Step 2: Perform the operation(s), and
Step 3: Simplify the result if necessary.
D. Solving Problems with Variables on 1 Side:
A. Solving Equations in one Variable:
To solve an equation in one variable, isolate the variable on one side of the equation.
The following examples illustrate different ways to isolate the variable.
1. Solve an Equation Using Addition or Subtraction
Inverse operations Two operations that undo each other, such as addition and
subtraction or multiplication and division.
Equivalent equations: Equations that have the same solution(s).
Use addition or subtraction to solve the equation.
a. x + 9 = 3 b. x - 5 = 2 c. x + 4.1 = 6
Solution:
a. x + 9 = 3 S1: Write original equation.
x + 9 - 9 = 3 - 9 S2: Use subtraction property of equality. Subtract 9
from each side.
x=-6 S3: Simplify.
The solution is 26.
b. x - 5 = 2 S1: Write original equation.
x - 5 + 5 = 2 + 5 S2: Use addition property of equality. Add 5 to each side.
x = 7 S3: Simplify.
The solution is 7.
c. x + 4.1 = 6 S1: Write original equation.
x + 4.1 - 4.1 = 6 - 4.1 S2: Subtract 4.1 from each side.
x = 1.9 S3: Simplify.
The solution is 1.9.
Use addition or subtraction to solve the equation.
1. x + 5 = 4 2. c - 3 = 8 3. t + 6 = 10
2. Solving an Equation Using Multiplication or Division
Use multiplication or division to solve the equation.
a. x/6 = 3 b. -7x = -49 c. - 3/8x = 5
Solution:
a. x/6 = 3
Step 1: Write original equation.
Step 2: Multiply each side by 6.
Step 3: Simplify.
The solution is 18.
II. More Packet Process for You (Download a Copy of a Notetaking Guide for Algebra 1)
The Notetaking Guide models important steps to perform. Go the given sections (use the Table of Contents) and see how these steps are done. Fill in the blanks with any info relevant to your given problem.
B. Packet Process Part Two: Order of Operations:
The Order of operations is an established rule for evaluating an expression involving more
than one operation:
Step 1: Evaluate expressions inside grouping symbols.
Step 2: Evaluate powers.
Step 3: Multiply and divide from left to right.
Step 4: Add and subtract from left to right.
C. Expressions, Equations, and Inequalities
A variable is a letter used to represent one or more numbers. An algebraic expression
is made from numbers, variables, and algebraic operations.
The following examples describe how expressions can be evaluated, combined, written, and used to write algebraic equations and inequalities.
1. Evaluating Expressions (Part 3 of your review)
Evaluate an expression involves the following process:
Step 1: Substitute a number for the variable,
Step 2: Perform the operation(s), and
Step 3: Simplify the result if necessary.
D. Solving Problems with Variables on 1 Side:
A. Solving Equations in one Variable:
To solve an equation in one variable, isolate the variable on one side of the equation.
The following examples illustrate different ways to isolate the variable.
1. Solve an Equation Using Addition or Subtraction
Inverse operations Two operations that undo each other, such as addition and
subtraction or multiplication and division.
Equivalent equations: Equations that have the same solution(s).
Use addition or subtraction to solve the equation.
a. x + 9 = 3 b. x - 5 = 2 c. x + 4.1 = 6
Solution:
a. x + 9 = 3 S1: Write original equation.
x + 9 - 9 = 3 - 9 S2: Use subtraction property of equality. Subtract 9
from each side.
x=-6 S3: Simplify.
The solution is 26.
b. x - 5 = 2 S1: Write original equation.
x - 5 + 5 = 2 + 5 S2: Use addition property of equality. Add 5 to each side.
x = 7 S3: Simplify.
The solution is 7.
c. x + 4.1 = 6 S1: Write original equation.
x + 4.1 - 4.1 = 6 - 4.1 S2: Subtract 4.1 from each side.
x = 1.9 S3: Simplify.
The solution is 1.9.
Use addition or subtraction to solve the equation.
1. x + 5 = 4 2. c - 3 = 8 3. t + 6 = 10
2. Solving an Equation Using Multiplication or Division
Use multiplication or division to solve the equation.
a. x/6 = 3 b. -7x = -49 c. - 3/8x = 5
Solution:
a. x/6 = 3
Step 1: Write original equation.
Step 2: Multiply each side by 6.
Step 3: Simplify.
The solution is 18.
II. More Packet Process for You (Download a Copy of a Notetaking Guide for Algebra 1)
The Notetaking Guide models important steps to perform. Go the given sections (use the Table of Contents) and see how these steps are done. Fill in the blanks with any info relevant to your given problem.
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