Algebra I PreAP; Laying the Foundation for Calculus AP.
This is a very rigorous, fastpaced, complete High School Algebra I course that provides indepth coverage of all of the traditional Algebra I topics using functions, and solving of complex traditional and nontraditional realworld problems as the common threads. This class studies topics at the highest level of rigor, at a faster pace, and in more depth than "regular" algebra courses. The curriculum is designed to challenge the most talented math students. In addition to traditional Algebra I topics students in Algebra I PreAP will be exposed to topics that are not formally studied until later in the math sequence. Both linear and nonlinear functions will be studied in depth in all of their forms, as will their applications. The types of functions we will investigate include linear, quadratic, variation, power, radical, rational, absolute value, exponential growth and decay, and trigonometric functions.
Technology is used throughout the course to enhance learning, to help understand
concepts, and as tools to help solve realworld problems. This includes
use of the SmartBoard, and TI84+ Graphing Calculators. The ChromeBook
computers the boys have are used when Blended Learning is employeed as
a teaching/learning technique. Students access specific websites
that offer video presentations of preselected topics. This may be
assigned as homework, or as directed class work. This is the "Flipped
Classroom" method of providing students with a wider range of learning
procedures that allow them to selfteach certain skills. It is also
available as a source for remediation.

The 8th grade PreAP
Algebra course at the Academy ends the first semester grading period on
the date of the final class before the holiday break in December.
Students in this class will take their semester exam in December.
Because of the unique characteristics of this course, and because of the unique situations that traditionally arise that challenge the 8th grade for class time in the second semester, 8th Algebra PreAP will end its first semester on the final class day in December. The curriculum has been planned so that grading for the first semester can close in December without any negative impact on student report card grades. This procedure ensures sufficient time to complete the PreAP Algebra course while accommodating the class time interruptions inherent in the 2nd semester of 8th grade. 
ALGEBRA I PreAP CURRICULUM
Textbook: Algebra I; AddisonWesley/Prentice Hall Publishing,
This class
will be taught using techniques that are being called, "Blended Learning".
This means that some homework requires
students to watch a video that is the lesson for the latest topic.
They are expected to learn the material
in the videos in the same way that they are expected to learn a lesson
when it is given live, in class.
Blended Learning techniques have been shown to be at least as effective
as inperson
lesson presentations and have been
incorporated in this class the past 2 years with great results.
The first semester includes lots of lessons on the Graphing Calculator.
It will also
include lots of supplementary material about functions.
There will be topics introduced throughout the year that do not appear
in the textbook.
They will be
covered at the appropriate times that they naturally fit.
Check the 100
Algebra Topics on this website to see what most of the topics are.
Chapter 1: Expressions and Equations; this is a review of 7th Grade Algebra.
11, Operations With Numbers
12, Variables
13, Powers and Exponents
14, Order of Operations
These sections will be treated as a
15, Expressions From word Statements review.
They will be completed in
16, Introduction to Equations
2, or 3 days.
17, Solving Equations
18, Problems That Lead to equations
19, Problems That Lead to Expressions and Equations (will be taught
using function language and will be completed in 2, or 3 days.)
Introduce the TI84+ Graphing Calculator. 1 week.
Chapter 2: Operations With Negative Numbers; this is a review of prealgebra.
21, Intro. to Negative Numbers
22, Adding Integers
23, Subtracting Integers
The first 7 sections will be
24, Multiplying Integers
completed in 3, or 4 days.
25, Dividing Integers
26, Commuting and Adding
27, Equations That Need Two Transformations
28, Problems That Lead to Two Transformations
Chapter 3: Distributing Axioms and Other Properties; this is a prealgebra review.
31, Distributing
32, Distributing Multiplication Over Subtraction
Chapter 3 will be
33, More Distributive Properties
completed in 2, or 3 days.
34, Like Terms and common Factors
35, Field Axioms
36, Properties of Equality
Chapter 4: Harder Equations; this is a prealgebra review.
41, Equations With Like Terms
42, Equations With Like Terms and Distributing
43, Equations With Variables in Both Members
4, or 5 days
44, Equations That Involve Decimals
45, Literal Equations and Formulas
46, Problems That Involve More Than One Expression.
Chapter 5: Some Operations With Polynomials and Radicals; this is a review of Algebra
51, Introduction to Polynomials
52, Names of Polynomials
53, Products of Two Binomials
54, Factoring Quadratic Trinomials, a = 1
55, Factoring Quadratic Trinomials  3rd Term Neg. Approx.
1 week.
56, Factoring Quadratic Trinomials, a > 1
57, Factoring the Difference of Two Squares
58, Squaring a Binomial
59, Factoring Trinomial Squares
510, Radicals, Irrationals, and Closure
Chapter 6: Quadratic Equations; this is a review of Algebra
61, Introduce Quadratic Formula
62, Evaluating Radical Expressions
63, Equations Containing Absolute Value
64, Equations With Squares
65, Equations With Trinomial Squares
1 week
66, Completing the square
68, The Quadratic Formula
69, Vertical Motion Problems
610, The Discriminant
Chapter 7: Expressions and Equations Containing Two Variables; this is a review of Algebra
71, Evaluate Expressions With 2 Variables
72, Cartesian Coordinate System
73, Graphs of Equations With 2 Variables
74, Intercepts and Rapid Graphing
75, Slope and Rapid Graphing
Approximately 4 weeksschool, beginning the 1st week of .
76, Finding an Equation From Graph
Done simultaneously with the reviews indicated, above.
77, Find Intersection of 2 Graphs
78, Solve Systems By Substitution
79, Solve Systems By Linear combination
78b, Solve Systems By Using Matrices
710, Problems Involving 2 Variables
Chapter 8: Linear Functions and Scattered Data. This begins the new material for 8th Grade
81, Linear Functions 
82, Scattered Data and Linear Regression
Approximately 1 week.
83, Probability
84, Experimental Probability 
Chapter 9: Properties of Exponents
91, Prime Numbers and Prime Factors
92, Exponentiation
93, Exponents, Products and Powers
94, exponents and Quotients
2 Weeks
95, Negative and Zero exponents
96, Powers of 10 and Scientific Notation
97, Problems Involving Scientific Notation
101, Review Multiplying and Factoring Polynomials
102, Greatest Common Factor
103, Factoring Out Common Factors
104, Common Binomial Factors
2 Weeks
105, Factoring By Grouping
106, Factoring Harder Quadratics
107, Solving Quadratic Equations By Factoring
Chapter 11: Rational Algebraic Equations
111, Rational Algebraic Expressions and Equations
112, Simplify Rational Algebraic Expressions
113, Multiply and Divide Rational Expressions
114, Least common Multiple
115, Add and Subtract Rational Algebraic Expressions
3 Weeks
116, Combined Operations and Special Cases
117, Long Division
118, Fractional Equations  Extraneous Solutions
119, Problems With Ratio and Proportion
1110, Problems With Probability and Rational Equations
Chapter 12: Radical Algebraic Expressions
121, Radical Algebraic Expressions
122, Sums, Differences, Products of Radicals
123, Quotients of Radicals
124, Binomials With Radicals
125, Square Roots of Variable Expressions
2 Weeks
126, Radical Equations
127, Pythagorean Theorem and Applications
128, Higher Order Radicals
129, Rational and Irrational Numbers
Chapter 13: Inequalities
131, Number Line Graphs
132, Solving Inequalities
133, Compound Inequalities
134, Inequalities With Absolute Value
2 Weeks
135, Given x, Evaluate the Expression
136, Linear Inequalities With 2 Variables
137, Systems of Equations and Inequalities
Chapter 14, Functions and Advanced Topics
141, Functions
142, Direct and Inverse Variation
143, Linear Functions
2 Weeks
144, Trigonometric Functions
145, Quadratic Functions
Enrichment includes more function investigations
Semester 2 includes
much more supplementary work with functions. It also includes time
for a short review and
the Algebra End
of Year Test.