Wednesday, August 28, 2024

Adding Real Numbers

Topics for Today:

We used models (number line and integer chips) and rules to add real numbers today.  We talked about the identity property of addition and also talked about inverses.  We also discussed how to use a number line to represent addition problems of both positive and negative integers.  

Image result for adding integers on a number line
Vocabulary: identity property of equality, additive inverse, inverse property of addition


Sections Covered in Textbook:

1-4: Adding Real Numbers (pages 24-31)


Resources & Tutorials:

1) How do you add two negative numbers?
2) Rules for Adding Integers
3) What is the opposite of a number?
4) What are identities?


Tuesday, August 27, 2024

Exploring Real Numbers

Topics for Today:

We are still working on the language of Algebra and using precise words.  Today we discussed the different classifications for numbers and what sets various types of numbers belong to (Natural, Whole, Integers, Rational, Irrational, and Real).  We also reviewed the meaning of absolute value.


Image result for absolute value


Vocabulary:
 natural numbers, whole numbers, integers, rational number, irrational number, real numbers, inequality, opposites, absolute value

Sections Covered in Textbook:

1-3: Exploring Real Numbers (Pages 17-23)


Resources & Tutorials:

1) What is a real number?
2) What is a rational number?
3) What are natural and whole numbers?


Monday, August 26, 2024

Exponents and Order of Operations

Topics for Today:

As with any language, algebra has some basic rules that must be followed to arrive at a correct answer.  Sometimes there are multiple ways to express an answer or number so we need a set of rules to follow so we always arrive at the same answer for any one particular problem.  The order of operations is a set of rules that tells problem solvers which operations to perform and in what order.



Vocabulary: simplify, exponent, base, power, order of operations (PEMDAS), evaluate 


Sections Covered in Textbook:

1-2: Exponents and Order of Operations (pages 9 - 16)


Resources & Tutorials:

1) What is the order of operations?
2) How do you use the order of operations

Thursday, August 22, 2024

Writing Variable Expressions

Topics for Today:

Our Algebra lesson focused on some of the language of Algebra and how words can be translated into algebraic expressions.

A table listing different ways how to say or mean addition, subtraction,  multiplicatio… | Algebraic expressions, Introductory algebra, Writing  algebraic expressions


Vocabulary:  variable, algebraic expression, equation, open sentence

Sections Covered in Textbook:

1-1: Using Variables (Pages 4-8)


Resources & Tutorials:

1) What are numerical and algebraic expressions?
2) Translating mathematical expressions