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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.
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- Lesson 1: Introduction to Algebraic Language Unlimited