Numbers And Properties Elementary Math Algebra
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Numbers and Properties (Elementary Math Algebra)
Chapter 1: Numbers and Properties In this opening chapter, we explore the fundamental concepts of numbers and their properties, which form the core foundation for studying algebra. Each section introduces key ideas and mathematical operations that are essential for understanding algebraic expressions and equations. What You'll Learn: Natural Numbers: Understand the basic set of numbers used for counting and ordering, and learn how they serve as the building blocks of algebra. Integers: Expand your knowledge to include both positive and negative whole numbers, crucial for solving a wide range of algebraic problems. Prime Numbers: Learn about prime numbers, their unique properties, and how they are essential in number theory and factoring. Index Notation: Discover how index notation (exponents) simplifies the representation of repeated multiplication and lays the foundation for working with powers in algebra. Common Factors and Highest Common Factors (HCF): Master how to find common factors and calculate the highest common factor, a skill critical for simplifying algebraic expressions and solving equations. Common Multiples and Lowest Common Multiple (LCM): Learn how to determine common multiples and the lowest common multiple, which is key for solving problems involving fractions and ratios. Square Numbers: Explore square numbers, their properties, and their role in solving algebraic equations and understanding geometric concepts. Rational and Irrational Numbers: Differentiate between rational and irrational numbers, learning how to represent, classify, and work with each type in algebraic contexts. Laws of Indices: Master the laws of indices (exponent rules) to simplify expressions and solve problems involving powers and exponents. Standard Form: Learn how to express very large or very small numbers in standard form (scientific notation), a valuable skill for solving algebraic problems in real-world applications. By the end of this chapter, you'll have a strong grasp of the various types of numbers and their properties, and you'll be able to apply this knowledge confidently in more advanced algebra topics. With clear explanations, worked examples, and practice exercises, this chapter prepares you for success in algebra.
Teaching Elementary Mathematics to Struggling Learners
Author: Bradley S. Witzel
language: en
Publisher: Guilford Publications
Release Date: 2016-01-24
Packed with effective instructional strategies, this book explores why certain K-5 students struggle with math and provides a framework for helping these learners succeed. The authors present empirically validated practices for supporting students with disabilities and others experiencing difficulties in specific areas of math, including problem solving, early numeracy, whole-number operations, fractions, geometry, and algebra. Concrete examples, easy-to-implement lesson-planning ideas, and connections to state standards, in particular the Common Core standards, enhance the book's utility. Also provided is invaluable guidance on planning and delivering multi-tiered instruction and intervention.
Algebra and Trigonometry
Author: Cynthia Y. Young
language: en
Publisher: John Wiley & Sons
Release Date: 2017-11-20
Cynthis Young's Algebra & Trigonometry, Fourth Edition will allow students to take the guesswork out of studying by providing them with a clear roadmap: what to do, how to do it, and whether they did it right, while seamlessly integrating to Young's learning content. Algebra & Trigonometry, Fourth Edition is written in a clear, single voice that speaks to students and mirrors how instructors communicate in lecture. Young's hallmark pedagogy enables students to become independent, successful learners. Varied exercise types and modeling projects keep the learning fresh and motivating. Algebra & Trigonometry 4e continues Young's tradition of fostering a love for succeeding in mathematics.