Rating
Students
4
Duration
Unlimited Duration
Lectures
1
Videos
27 years, 9 months
Updated
January 15, 2025
Technical Mathematics Grade 11 | VirtualX MasterClass – Course Module 1 introduces students to Exponents and Surds, a fundamental topic in mathematics. This module focuses on reinforcing exponent laws, solving exponential equations, working with rational (fractional) exponents, and understanding surds.
Through interactive lessons, problem-solving activities, real-world applications, and assessments, students will develop critical analytical skills essential for technical and engineering applications.
By the end of this module, learners will have mastered the manipulation of exponents, simplification of surds, and solving exponential equations—concepts that will be applied in future mathematics topics such as logarithms, functions, and calculus.
VirtualX MasterClass
0
46
Courses
3795
Students
This course consists of five structured lessons, each focusing on essential principles of exponents and surds.
Lesson 1.1: Laws of Exponents and Exponential Equations
- Review of exponent laws:
- Product rule, quotient rule, power rule
- Zero and negative exponents
- Solving exponential equations using exponent rules
- Application of exponent laws in real-world technical problems
Lesson 1.2: Simplifying Expressions with Variable Bases
- Working with expressions involving variable bases
- Applying exponent laws in complex expressions
- Simplifying expressions with mixed integer and fractional exponents
Lesson 1.3: Rational (Fractional) Exponents and Cube Roots
- Understanding the relationship between exponents and radicals
- Expressing roots in exponent form (e.g., √x = x^(1/2))
- Simplifying cube roots and higher-order roots
- Applying fractional exponents in scientific and engineering contexts
Lesson 1.4: Expressions of the Form a^(1/n) and Their Properties
- Understanding nth roots and their applications
- Simplifying expressions involving rational exponents
- Evaluating expressions with bases raised to fractional powers
- Applying rational exponent concepts in real-world problem-solving
Lesson 1.5: Surds and Solving Equations with Surds
- Defining surds and their properties
- Simplifying surds and rationalizing denominators
- Performing operations with surds (addition, subtraction, multiplication, division)
- Solving equations involving surds
- Real-world applications of surds in geometry and physics
Each lesson includes interactive exercises, quizzes, problem-solving scenarios, and assessments to ensure active engagement and a deeper understanding of exponents and surds.
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- Lesson 1.1: Laws of Exponents and Exponential Equations Unlimited