Core Mathematics
Why take this course?
🎉 Welcome to Core Mathematics for Success in College! 📚
Rationale:
Core Mathematics is meticulously crafted to provide students with a robust foundation in mathematics, paving the way for success in higher-level mathematics courses. It's specifically designed to serve as an alternative to the CSEC (Caribbean Secondary Education Certificate) mathematics requirement. This course is delivered with a strong emphasis on competency-based teaching and learning principles.
Course Overview:
Objective: 🎯 To prepare students for a sound base in College Mathematics.
Learning Outcomes: 🚀 After completing this course, students will be able to:
- Solve worded and numerically expressed mathematical problems.
- Solve graphically and analytically mathematical problems.
- Discuss the importance of mathematics to national development.
- Apply mathematical concepts to effectively handle real-world situations.
Course Content Breakdown:
Unit 1: Computation
- Explore subsets of real numbers: natural, whole, integer, rational, and irrational.
- Grasp number properties like associative and commutative laws.
- Learn to round off decimals and represent them in scientific notation.
- Distinguish between prime and composite numbers.
- Tackle typical ratio/proportion problems.
Unit 2: Consumer Mathematics
- Compare simple interest and compound interest investments.
- Solve hire-purchase and profit/loss problems.
- Apply currency conversion techniques.
Unit 3: Statistics (focus on Computation and Consumer Mathematics)
- Understand the difference between discrete and continuous data.
- Interpret statistical diagrams, including pie charts, line graphs, and bar graphs.
- Calculate and interpret statistical averages for grouped and ungrouped data.
Unit 4: Algebra
- Simplify algebraic expressions by grouping like terms.
- Simplify algebraic fractions.
- Factorize algebraic expressions using various methods.
- Solve linear equations, including those with fractions.
- Address linear inequalities and represent them on number lines.
- Tackle linear simultaneous equations.
Unit 5: Sets
- Master set terminology like equal sets, equivalent sets, subsets, and set builder notation.
- Apply set symbols such as union, intersection, and complement.
- Interpret Venn diagrams to solve worded problems involving 2 sets.
Unit 6: Trigonometry & Matrices (focus on Algebra and Sets)
- Identify types of triangles: equilateral, isosceles, scalene, and right.
- Apply Pythagoras’ theorem to find unknown sides in right triangles.
Unit 7: Graphs
- Plot graphs for linear equations.
- Solve pairs of linear simultaneous equations graphically.
Learning Resources:
Get ready to dive into the course with essential textbooks and lecture notes designed to enhance your learning experience.
Recommended Text(s): 📖
- Toolsie, R. (2010). Mathematics a Complete Course with CXC Questions Vol. 1. Published by Caribbean Educational Publishers, San Fernando, Trinidad & Tobago.
Embark on your mathematical journey today and unlock the doors to further academic success! 🎓✨
Course Gallery
Loading charts...