Algebra 1

Teachers
Kenneth Rochelle
Tsivia Morrison
Danny DiDomenico
Stefan Trienekens
Rachel Kaufman
Momeena Garcia
Alex Lasky
Edith Castro
Betsy Weber
Category:
Mathematics/
Algebra 1
Duration: 45- or 90-hour course
Lectures: Daily classwork and homework in DarwinPrep Diagnostic and summative exams Accreditation in California and New York

Course Description:

To study advanced forms of math, students must first develop a foundational mastery of Algebra 1. Algebra 1 includes the conceptual categories of number and quantity, functions and statistics. This incorporates the many situations of the unknown value of a number as well as knowledge of formulae, which are sets of instructions for solving problems. Students learn to analyze, solve, create, express, and exchange algebraic formulae and graphs in several formats including linear, exponential and quadratic functions. Algebra is the basis of infinite physical problems, making it a powerful problem solving tool. TG’s Algebra 1 Regents program maps a comprehensive path to mastery from the foundations of Algebra 1 to the tools students need to continue their studies in advanced mathematics.

Curriculum:

Introduction and Course Overview

Welcome to your lesson review.

Unit 1: Properties of Algebra and solving Linear Equations in Algebra

Properties of Algebra and solving Linear Equations in Algebra

One Step Algebra Equations
Solving Linear Equations by Adding and Subtracting
Solving Linear Equations by Multiplying and Dividing
Combining Like Terms Before Solving
Variable on both Sides of the Equation.

Unit 2: Polynomial Arithmetic

Polynomial Arithmetic

Classifying Polynomials
Multiplying and Dividing Monomials
Adding and Subtracting Polynomials
Multiplying Monomials and Polynomials
Multiplying Binomials
Factoring Polynomials
More Complicated Factoring
Multiplying a Polynomial by a Polynomial Using FOIL Method.

Unit 3: Graphs of Linear Equations

 Graphs of Linear Equations

Graphing Solution Set of a Linear Equation by making a Table of Values
Graphing a Linear Equation Using the Intercept Method
Calculating and Interpreting Slope
Graphing Linear Equation in Slope-Intercept Form
Graphing Linear Equation on the graphic Calculator
Equations of Vertical and Horizontal Lines
Solving System of linear equation Graphically
Determining the Slope of the Line
Interpreting the Slope of the Line
Finding the Equation of a Line given Two Points

Unit 4: Systems of Linear Equations

Systems of Linear Equations

Solving System of linear equation

Unit 5: Graphs of Quadratic Equations

Graphs of Quadratic Equations

Graphing a Quadratic Equation with a Chart
Graphing a Parabola by Finding the Vertex
Graphing a Quadratic Equation on the graphic Calculator
Using the Graphic Calculator to solve Quadratic Equations
Solving a Linear-Quadratic System of Equations by Graphing
Word Problem Involving the Graph of a Quadratic Equation

Unit 6: Quadratic Equations

Quadratic Equations

Methods of Solving Quadratic Equations
The Relationship Between the Factors and The Zeros
Word Problems Involving Quadratic Equations

Unit 7: Linear Inequalities

Linear Inequalities

One Variable Linear Inequalities
Graphing Two-Variable Linear Inequalities
Graphing system of Linear Inequalities
Graphing Inequalities on the graphic Calculator

Unit 8: Exponential Equations

Exponential Equations

Evaluating Exponential Expressions
Exponential Growth VS. Exponential Decay
Graphs of Exponential Equations

Unit 9: Creating and Interpreting Equations

Creating and Interpreting Equations

Creating and Interpreting Linear Equations
Creating and Interpreting Exponential Equations

Unit 10: Functions

Functions

Different Representations of Functions
Domain & range of the function
Graphing Functions
How to tell when a Graph or a list cannot define a Function
Graphing Transformed Functions

Unit 11: Sequences

Sequences

Types of Sequences
Describing a Sequence with a Direct Formula
Describing a Sequence with a Recursive Formula

Unit 12: Statistics

Statistics

Mean, Median and Mode
First Quartile and Third Quartile
Box Plots
Using the Graphic Calculator to Determine Maximum, Minimum, And Median
Using the Graphic Calculator to Determine First Quartile, And Third Quartile

Unit 12: Regression Curves

Regression Curves

The Line of Best Fit
The Correlation Coefficient
The Correlation Coefficient using Graphic Calculator
Parabolas and Exponentials of Best Fit

About Instructors

Kenneth Rochelle
Mr. Rochelle has been teaching for fifteen years with experience as a college math professor, a high school and middle school teacher and as an SAT and math tutor.
Tsivia Morrison
Tsivia Morrison holds a B.Sc. from University College in London and a Post-Graduate Certificate of Education from Middlesex University.
Danny DiDomenico
Danny Didomenico is a veteran online instructor who holds a Bachelor’s degree in Mathematics and music from Bennington College. Danny has been working with students for over 10 years, both in the classroom and online.
Stefan Trienekens
Mr. Trienekens has extensive experience tutoring small groups of up to four students in biology, college-level remedial math, writing, physics and history.
Rachel Kaufman
Ms. Kaufman’s experience includes teaching both mainstream and special needs elementary school students. In addition, she has taught adult education classes and worked as a private piano teacher.
Momeena Garcia
Momeena Garcia teaches math (K-12 and college), English language arts (elementary and middle school), special education (K-12), and Spanish, as well as preparation for exams such as the SAT and ACT.
Alex Lasky
Ms. Lasky says her educational philosophy can be summed up in one sentence: "Practice, practice, practice until no numbers can surprise you."
Edith Castro
Ms. Castro teaches middle and high school math up to calculus, with special expertise in algebra at all levels. She uses technology extensively.
Betsy Weber
"I believe that all students can and will learn if they are motivated, engaged, and given enough time," she says. "Students are individuals and so are their needs. I always want to know if there is a better way to teach a lesson, and go in search of tools or ideas that would take my lessons to the next level."