About This Chapter
Principles of Operations & Algebraic Thinking - Chapter Summary
In this chapter, our helpful instructors present the principles of operations and algebraic thinking for your review. Topics covered thoroughly here include remainders, multiples, factors and prime numbers, among other related subjects. You should be ready to do the following once you finish this chapter:
- Differentiate between associative, distributive, and commutative number properties
- Detail the rules for using parentheses in math
- Determine when a numerical expression is undefined
- Define a remainder in math and give an example
- Explain what factors and multiples are
- Provide a definition of prime numbers along with an example
- Discuss composite numbers along with examples
In addition to concise, easy-to-use lessons and handy self-assessment quizzes, we've included access to help from an expert instructor. Simply submit any questions that you might have through the Dashboard for an instructor to answer. Our videos are generally less than ten minutes in length, and we've made it easy to quickly navigate them using the video tabs feature.
1. Number Properties: Commutative, Associative & Distributive
We often find ourselves using real number properties when working on math problems. These properties come in a variety of forms, but in this lesson we'll focus on learning about the commutative, associative, and distributive properties.
2. Using Parentheses in Math: Rules & Examples
In this lesson, we will explore how to use parentheses to clarify numbers, indicate multiplication, and group numbers together for the order of operations. After exploring the rules of parentheses, review your understanding of this lesson with a short quiz.
3. How to Determine When a Numerical Expression is Undefined
We get all kinds of problems in math. We sometimes get numerical expressions that are undefined. Watch this video lesson to learn what it means to be undefined and how to find when a numerical expression is undefined.
4. Remainder in Math: Definition & Example
Division problems often result in remainders. In this lesson, we will define the remainder and use long division of numbers and synthetic division of polynomials to compute remainders.
5. What are Factors & Multiples?
A mathematician needs to know how to work with numbers. In this lesson, you'll learn two ways to work with numbers: using factors and multiples. You'll also learn the definitions of factors and multiples and how to find the factors and multiples of a number.
6. What Are Prime Numbers? - Definition & Examples
Learn the definition of prime numbers and composite numbers while working through a few examples of how to identify them. Then expand your knowledge by learning three rules that help you determine whether or not a number is prime.
7. What Are Composite Numbers? - Definition & Examples
In this lesson, you'll learn what composite numbers are and briefly touch on prime numbers. You'll also learn a couple of rules about composite numbers. Then, you can test your new knowledge with a brief quiz.
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Other chapters within the ILTS Elementary Education (Grades 1-6) (197-200, 305): Practice & Study Guide course
- Foundations of Literacy
- Language Features & Acquisition
- Selecting Materials for Literacy Instruction
- Developing Emergent Literacy Skills
- Literacy Assessment & Differentiation
- Phonological & Phonemic Awareness
- Decoding & Fluency Teaching Strategies
- Language & Reading Comprehension
- Vocabulary Acquisition & Use
- Reading Comprehension Instructional Strategies
- Analyzing Literary & Informational Texts
- Instructional Strategies for Literary & Text Analysis
- English Grammar Writing Conventions
- Writing Instruction & Feedback
- Instructional Strategies for Different Types of Writing
- Strategies for Teaching Speaking & Listening Skills
- Teaching Counting, Cardinality, Numbers & Operations
- Fraction Operations
- Teaching Operations & Algebraic Thinking
- Overview of Concepts in Algebra
- Properties & Operations of Functions
- Geometry Concepts
- Data Distribution & Graphs
- Permutation & Combination
- Interpreting Statistical & Probability Data
- Mathematical Development & Curriculum
- Measurement & Data
- Scientific Models & Relationships
- Scientific Inquiry & Lab Safety
- Evaluating Scientific Information
- Fundamental Concepts of Physical Science
- Fundamentals of Life Science
- Fundamentals of Earth & Space Science
- Overview of Government & Citizenship
- Overview of Economics & Political Principles for Illinois Educators
- Overview of History & Cultural Development for Illinois Educators
- Fundamentals of Human Geography for Illinois Educators
- Overview of the Arts for Educators
- Overview of Physical Education
- Human Body Systems & Fitness
- Personal, Family & Community Health Overview for Educators
- Illinois Learning Standards
- ILTS Elementary Education (Grades 1-6) Flashcards