Course Description

What is Algebra? It is a foundational part of mathematics. Many higher mathematics depends on understanding it, such as calculus. It uses variables (letters and symbols) to represent numbers in formulas and equations. (An equation essentially states that two mathematical expressions are equal.) It focuses on solving for unknown values and modeling relationships, such as formulas for speed interest, or area. One of the key concepts is manipulating equations and using operations to isolate variables so that a value can be uncovered for them.

Class Format: Classes will be conducted over Zoom. Students will work with hands-on examples and problems. Quizzes and exams will be hosted on the Moodle.

Session Times: Monday & Wednesday, 3 PM – 4:30 PM Eastern USA Time.

Session Dates: August 31 – June 6

Text: Discovering Algebra: An Investigative Approach, Third Edition
Publisher Website: https://k12.kendallhunt.com/program/discovering-algebra-third-edition

Other requirements: Access to various free online math tools and websites (e.g., the Desmos online graphing calculator, spinner apps, etc.). Students will engage in hands-on learning in live sessions and assigned homework.

Data Exploration

Bar Graphs & Dot Plots
Summarizing Data with Mean, Median, & Mode
5-box Summary: Measure of Spread
Histograms & Stem Plots

Proportion Reasoning & Variation

Proportions
Proportions With Percents
Conversion Factors & Unit Rates
Direct & Inverse Variation
Evaluating Expressions
Undoing Operations

Linear Equations

Recursively Defined Sequences
Linear Plots
Time-Distance Relationships
Linear Equations using the Intercept Form
Linear Equations and Rate of Change
Solving Equations Using the Balancing Method
A Formula for Slope
Precision and Accuracy

Functions & Linear Modeling

Concept of Function
Functions & Graphs
Graphs of Real-World Situations
Slope-Intercept Form
Point-Slope Form
Equivalent Algebraic Equations
Fitting a Straight Line to Data
Correlation & Causation

Systems of Equations & Inequalities

Solving Systems of Equations
Parallel & Perpendicular Lines
Solving Systems of Equations Using Substitution & Elimination
Inequalities in One Variable
Systems of Inequalities

Exponents & Exponential Models

Exponential Equations
Properties of Exponents
Scientific Notation for Large Numbers
Fitting Exponential Models to Data

Functions & Transformations

Function Notation
Piecewise Functions & Absolute Value
Squares, Squaring, & Parabolas
Figuring Rate of Change
Translating Functions
Flipping Graphs & Points
Stretching and Shrinking Graphs
Introduction to Rational Functions

Quadratic Equations

What is a quadratic equation?
Finding roots and vertex
Factored Form
Completing the Square
The Quadratic Formula
Operations With Polynomials

*Sessions will not be held on the following dates:

• Sept 7 – American Labor Day
• Nov 11 – Veterans/Remembrance Day
• Nov 23-27 – American Thanksgiving Break
• Dec 21 – Jan 1 – Christmas Break
• Mar 22 – Mar 26 – Holy Week Break
• May 31 – American Memorial Day