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27 years, 9 months

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January 15, 2025

Technical Mathematics Grade 10 | VirtualX MasterClass – Course Module 1 introduces students to Algebraic Language and Expressions, a fundamental topic in mathematics. This module focuses on developing students’ ability to manipulate algebraic expressions, understand exponents, and simplify mathematical expressions effectively.

Through interactive lessons, problem-solving activities, real-world applications, and assessments, students will gain critical thinking skills that will be essential for higher-level mathematics.

By the end of this module, learners will have a strong foundational understanding of algebraic expressions, factorization techniques, algebraic fractions, and exponent laws, which are crucial for technical and engineering applications.

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This course consists of five structured lessons, each focusing on essential algebraic principles.

Lesson 1: Introduction to Algebraic Language

  • Understanding      the importance of algebra in Technical Mathematics.
  • Defining      and classifying algebraic terms: variables, coefficients, and constants.
  • Identifying      algebraic expressions and equations.
  • Recognizing      real-world applications of algebra.

Lesson 2: Operations on Algebraic Expressions

  • Addition      and subtraction of like terms.
  • Multiplication      and division of algebraic terms.
  • Distributive      property and expanding expressions.
  • Practical      problem-solving applications.

Lesson 3: Factorization (Common Factors, Grouping, Trinomials, and Difference of Squares)

  • Identifying      common factors in algebraic expressions.
  • Factorization      using grouping methods.
  • Factoring      trinomials and special cases (difference of squares).
  • Solving      problems involving factorization techniques.

Lesson 4: Simplification of Algebraic Fractions

  • Understanding      algebraic fractions.
  • Simplifying      algebraic fractions using factorization.
  • Performing      addition, subtraction, multiplication, and division with algebraic      fractions.
  • Application      of algebraic fractions in real-world technical problems.

Lesson 5: Exponents and Surds – Basic Laws and Applications

  • Introduction      to exponent laws: product rule, quotient rule, power rule.
  • Working      with zero and negative exponents.
  • Simplifying      expressions with exponents and surds.
  • Applying      exponent laws in engineering and scientific calculations.

Each lesson includes interactive exercises, quizzes, problem-solving scenarios, and assessments to ensure active engagement and a deeper understanding of algebraic principles.

    • Lesson 1: Introduction to Algebraic Language Unlimited