algebra i: introduction to algebra youngmath and expert subjects.com present
TRANSCRIPT
Algebra I: Algebra I: Introduction to Introduction to
Algebra Algebra
YoungMath and Expert Subjects.com Present
LESSON OBJECTIVES LESSON OBJECTIVES (A.3A;A.3B):(A.3A;A.3B):
•Define the purpose of Algebra
•Define Algebra
•Define variable
•Define algebraic expression
•Define algebraic equation
Why am I learning
this?
“Algebra looks so hard!”
•Algebra is everywhere!
•Teaches organization
•Simple way of expressing a question to enable you to find the answer faster
•Sharpen your reasoning (problem solving) skills
•Prepare your for higher learning
What is algebra?What is algebra?The part of mathematics in which
letters and other symbols are used to represent unknown numbers and
quantities in formulas and equations.
1. If there are 4,000 widgets in a mile, how long is a widget (in inches)?
2. If the temperature outside is 25° F, what is the temperature in degrees Celsius?
What is the What is the unknown unknown valuevalue??
What’s the unknown in example 1? Length of a widget in inches
What is the unknown in example 2? Temperature in degrees Celsius
In algebra, we use variables to represent unknown values.
Variable: 1. *A symbol (frequently a letter) used to represent
an unknown value;2. An element, feature, or factor that is liable to
vary or change
Expressions vs. EquationsExpressions vs. Equations
Question: What is the difference between an expression and an equation?
Language Arts- phrase and a sentence◦ Phrase does not convey meaning
Ex: “down the street”◦ Sentence is complete thought
Ex: “I went down the street.”
Expression is a mathematical “phrase”• Ex: 4+3
Equation mathematical “sentence”• Ex: 4+3 = 7
Algebraic Algebraic Expressions & EquationsExpressions & Equations
Definition: mathematical expressions and equations the use a variable
Example of algebraic expressions:
• 4x + 7•7y
• 2 + θ•α / 6σ
Example of algebraic equations:
• 4x + 7 = 9•7y = 49
• 2 + θ = 45 •α/6σ = 546
Cannot be solved; only simplified if possible
Ex: 4 + 9 – b13- b
Can be solved to determine the value of the variable
Ex: 3x =12 x = 4
LESSON OBJECTIVES LESSON OBJECTIVES (A.3A;A.3B):(A.3A;A.3B):
•Define the purpose of Algebra
Simple way of expressing a question to enable you to find the answer
faster
•Define Algebra
The part of mathematics in which letters and other symbols are used to
represent unknown numbers and quantities in formulas and equations.
•Define variable
A symbol (frequently a letter) used to represent an unknown value
•Define algebraic expression
A mathematical “phrase” in which letters and other symbols are used to
represent unknown numbers and quantities (Does not convey meaning!)
•Define algebraic equation
A mathematical “sentence” in which letters and other symbols are used to
represent unknown numbers and quantities (complete thought!)