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Which subject	Mathematics
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Number of lessons	10
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Course Plan: Mathematics Mastery

Course Title: Mathematics Mastery
Course Duration: 10 Lessons
Target Audience: High School Students (Years 10-12)
Location: Australia

Introduction

Mathematics is not just a subject but a foundational skill essential for numerous fields including science, engineering, economics, and everyday problem-solving. This course, "Mathematics Mastery", aims to deepen students' understanding, enhance practical skills, and foster a positive attitude towards mathematics.

Through a series of ten interactive lessons, students will engage in problem-solving activities, individual and group work, and real-life applications of mathematical concepts, fostering a sense of confidence and competence in their mathematical abilities.

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Goals and Aims

Goals:

1. To develop a comprehensive understanding of advanced mathematical concepts.
2. To improve problem-solving and critical thinking skills necessary for higher education and employment.
3. To enhance students' confidence and motivation towards mathematics.

Aims:

• Encourage collaborative learning through group problem-solving activities.
• Provide real-world applications of mathematical theories.
• Foster self-assessment and reflection on individual learning progress.

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Course Structure

Module 1: Algebra and Functions

• Lesson 1: Introduction to Algebra

  • Overview of algebraic expressions, equations, and functions.
  • Key concepts: variables, constants, coefficients, and the order of operations.

• Lesson 2: Solving Equations and Inequalities

  • Techniques to solve linear equations and inequalities.
  • Graphical representations of inequalities on the number line.

Module 2: Geometry and Measurement

• Lesson 3: Introduction to Geometry

  • Fundamental concepts of points, lines, angles, and shapes.
  • Properties of different geometric figures (triangles, quadrilaterals, and circles).

• Lesson 4: Area, Volume, and Surface Area

  • Formulas to calculate area and volume.
  • Application of geometry in solving real-world problems.

Module 3: Statistics and Probability

• Lesson 5: Introduction to Statistics

  • Types of data and methods of data collection.
  • Measures of central tendency: mean, median, and mode.

• Lesson 6: Probability Principles

  • Basic principles of probability (theoretical vs. empirical).
  • Simple and compound events, and their applications.

Module 4: Trigonometry and Calculus

• Lesson 7: Introduction to Trigonometry

  • Fundamental trigonometric ratios and their applications.
  • Solving right-angled triangles using trigonometric functions.

• Lesson 8: Introduction to Calculus

  • Overview of limits, derivatives, and integrals.
  • Application of calculus in real-world scenarios (e.g., rate of change).

Module 5: Advanced Topics and Revision

• Lesson 9: Mathematical Modelling

  • Introduction to mathematical models and real-life applications.
  • Application of previously learned concepts to solve complex problems.

• Lesson 10: Review and Assessment

  • Comprehensive review of the course material.
  • Hands-on assessment and feedback session.

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References

1. Australian Curriculum, Assessment and Reporting Authority (ACARA). (2020). Mathematics Curriculum. Retrieved from www.acara.edu.au
2. Schaum’s Outline of Mathematics for Engineers by John C. McGregor.
3. Mathematics: A Very Short Introduction by Timothy Gowers.
4. Calculus Made Easy by Silvanus P. Thompson and Martin Gardner.
5. Statistics for Business and Economics by Anderson, Sweeney, and Williams.
6. Mathematics for Computer Science by Eric Lehman, F. Thomson Leighton, and Albert R. Meyer. Retrieved from MIT OpenCourseWare.

This structured approach ensures that students are not only equipped with the knowledge necessary for their examinations but also gain skills that are applicable in various aspects of life and future education.