School Science And Technology Engineering And Mathematics

School Science And Technology Engineering And Mathematicscourse Numb

This course introduces students to the prerequisite concepts of beginning algebra, including solving basic algebraic equations with integers, fractions, decimals, and percents. It also covers polynomials and graphing of two-variable equations. The emphasis is on fundamentals to facilitate the transition into college-level algebra, followed by MATH101.

The course is delivered online over 16 weeks, starting with basic math concepts such as fractions, decimals, and integers, and progressing to rates, ratios, percents, graphing, and polynomial computation. Practical applications are integrated throughout.

Upon completion, students will be able to perform operations with whole numbers, integers, fractions, and percents; define and create algebraic expressions and equations; apply algebraic rules for simplification; solve algebraic equations; understand and calculate geometric measures; interpret data through various graphs; plot points; simplify roots; apply proportions; analyze data sets; understand exponents and polynomial expressions; factor and evaluate polynomials.

The course is delivered online via a learning management system, with assignments including reading, forum discussions, quizzes, and exams through MyMathLab. Weekly activities align with specific chapters covering fundamental algebraic and geometric concepts, culminating in a final exam during the last week.

Paper For Above instruction

The course titled "Pre-Algebra," identified as MATH100, aims to establish a solid foundation in fundamental algebraic concepts necessary for progression into higher-level mathematics. This course is quintessential for students transitioning from basic arithmetic to algebra, equipping them with essential skills for academic and real-world problem solving.

Introduction and Course Objectives

Pre-Algebra is designed not merely as a repository of mathematical facts but as a bridge that connects elementary mathematics to the more abstract principles found in college algebra. The course objectives detail specific skills such as performing operations with various number types, understanding variables, constructing and solving equations, and analyzing data. These objectives aim to cultivate a comprehensive understanding of foundational mathematics necessary for subsequent coursework in algebra and geometry. Importantly, these skills also have broad applications in everyday life, including financial calculations, measurement, and data interpretation.

Course Structure and Delivery Method

Organized into weekly modules, the course adopts a fully online format, offering flexibility for students balancing multiple commitments. Each week includes targeted readings, interactive forums, quizzes, and assessments to reinforce learning. The use of MyMathLab provides additional resources, such as pre-tests, e-books, and practice problems, creating an integrated learning environment. The online delivery model emphasizes self-paced study complemented by instructor support, promoting active engagement and mastery of skills.

Content Coverage and Learning Progression

The course commences with a review of fundamental arithmetic, including operations with whole numbers and integers, establishing a base for more complex topics. Subsequent modules introduce algebraic expressions, equations, and their applications to geometric figures. Graphing and data interpretation develop visual and analytical skills, vital for understanding relationships between variables. Polynomial operations and factoring deepen algebraic understanding, facilitating problem-solving abilities. The course concludes with systems of equations, advanced data analysis, and a comprehensive review for the final examination.

Assessment and Evaluation

Assessment strategies are diverse, comprising chapter tests, quizzes, discussion forums, and a comprehensive final exam. The chapter tests are timed and aligned with the weekly topics, ensuring continuous feedback. Forums foster conceptual understanding and peer interaction, prompting students to articulate and discuss problem-solving approaches. The final exam, scheduled in the last week, evaluates cumulative knowledge across all domains of the course, ensuring readiness for advanced mathematics.

Practical Applications and Relevance

Throughout the course, real-life scenarios illustrate the relevance of algebra and mathematics in everyday contexts, such as financial literacy, measurement in construction, data analysis in sciences, and technological applications. These practical connections motivate learners by demonstrating the utility of mathematical skills beyond academia.

Resources and Support

Students are supported through comprehensive course resources, including an online library, tutoring services via Tutor.com, and access to course-specific guides. Academic integrity policies are emphasized, with tools like Turnitin safeguarding originality in coursework. Faculty engagement through forums and feedback ensures personalized guidance, fostering a conducive learning environment.

Conclusion

Pre-Algebra (MATH100) plays a vital role in preparing students for advanced mathematics by establishing essential skills, promoting analytical thinking, and connecting math concepts to real-world applications. Its online format offers flexibility, inclusivity, and access to diverse resources, ensuring students develop competence and confidence to pursue higher-level math courses and practical math applications.

References

  • Blair, T., & Crawford, S. (2018). Prealgebra (2nd ed.). Pearson.
  • Algebra and Trigonometry. (2017). Khan Academy. https://www.khanacademy.org/math/algebra
  • California Department of Education. (2018). Mathematics Framework for California Public Schools K-12. California Department of Education.
  • Larson, R., & Boswell, L. (2019). Elementary and Intermediate Algebra. Cengage Learning.
  • Saxon, J. (2016). Saxon Algebra 1: An Incremental Approach. Saxon Publishers.
  • Fisher, H., & Levey, L. (2020). Building a Strong Math Foundation. Math Education Publishing.
  • National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. NCTM.
  • Hamm, M. (2018). Practical Applications of Algebra in Everyday Life. Journal of Mathematics Education.
  • Microsoft Education. (2020). Using Data to Guide Mathematics Instruction. Microsoft Education Resources.
  • American Mathematical Society. (2019). Standards for Preparing Teachers of Mathematics. AMS Publications.

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