MATHEMATICS
MODERN LANGUAGES MODERN STUDIES SCIENCE TECHNICAL VOCATION V.A.P.A. |
MATHEMATICS FORM 4-5The CSEC Mathematics syllabus addresses the personal development and educational needs of Caribbean students by encapsulating a variety of skills integral to everyday life and prerequisites for entering environments of work and academia. These skills include critical and creative thinking, problem solving, logical reasoning, modelling ability, team work, decision making, research techniques, information communication and technological competencies for life-long learning. This syllabus aims to: 1. make Mathematics relevant to the interests and experiences of students by helping them to recognise Mathematics in the local and global environment; 2. help students appreciate the use of mathematics as a form of communication; 3. help students acquire a range of mathematical techniques and skills and to foster and maintain the awareness of the importance of accuracy; 4. help students develop positive attitudes, such as open-mindedness, resourcefulness, persistence and a spirit of enquiry; 5. prepare students for the use of Mathematics in further studies; 6. help students foster a ‘spirit of collaboration’, not only with their peers but with others within the wider community; 7. help students apply the knowledge and skills acquired to solve problems in everyday situations; 8. integrate Information Communication and Technology (ICT) tools and skills in the teaching and learning processes. ORGANISATION OF THE SYLLABUS: The syllabus is divided into nine (9) Sections:
SECTION 1 – NUMBER THEORY AND COMPUTATION SECTION 2 – CONSUMER ARITHMETIC SECTION 3 – SETS SECTION 4 – MEASUREMENT SECTION 5 – STATISTICS SECTION 6 – ALGEBRA SECTION 7 – RELATIONS, FUNCTIONS AND GRAPHS SECTION 8 – GEOMETRY AND TRIGONOMETRY SECTION 9 – VECTORS AND MATRICES |
SECTION 1 – NUMBER THEORY AND COMPUTATION
NOTE: Knowledge of computational and scientific methods used for investigating and solving problems in number theory are explored. Students are introduced to the theory and practical applications of factorization methods, scientific notation, square roots and more.
VIDEO
INTERACTIVE
WEBSITE
VIDEO
- Ratios and Percentages
- Scientific Notation
- Introduction to square roots
- CXC CSEC Simplifying Complex Fractions
INTERACTIVE
- Convert Fractions to Percents
- Fraction to Percent
WEBSITE
- GCSE Maths: Number
- Fas-Pass Maths Study Guide: Computation
- Fas-Pass Maths Study Guide: Number Theory
- NOSTT Number Theory
- NOSTT Computation
SECTION 2 – CONSUMER ARITHMETIC
NOTE: Learn about the concepts of simple interest, compound interest, interest on investments and use of percentages. See how they are applied in everyday scenarios like salaries and wages and business investments.]
PDF
VIDEO
WEBSITE
- Consumer Arithmetic
VIDEO
- CSEC Consumer Arithmetic
- Simple Interest Tutorial
- Consumer Interest Series: Compound Interest
WEBSITE
- Fas-Pass Maths: Consumer Arithmetic
- NOSTT: Consumer Arithmetic
- Consumer Arithmetic: Calculating Interest on Investment
- Consumer Arithmetic: Using Percentages
SECTION 3 – SETS
NOTE: The focus is on foundational binary math applications. Students are introduced to the theoretical and practical concepts of basic set theory arithmetic, inclusive of the union and intersection of sets and Venn diagrams.
VIDEOS
WEBSITE
VIDEOS
- Venn Diagram
- Introduction to Sets
- CSEC GCSE Maths Exam Review: Sets
- Set Theory: Types of Sets; Union and Intersection of Sets
- Intersection and Union of Sets
WEBSITE
- Fas-Pass Maths: Set Theory
- Introduction to Sets
- Learn Math step-by-step: Sets
SECTION 4 – MEASUREMENT
NOTE: Explore the pre-algebraic concepts of length, breadth and area. Learn about the geometric measurements of the Triangle, Cylinder and Circle as well as the methods used for converting units via conversion factors.
VIDEO
WEBSITE
VIDEO
- Arc Length and Area of a Sector
- Area of a Triangle
- Perimeter and Area
- Cylinder Volume and Surface Area
- Converting Units with Conversion Factors
WEBSITE
- Fas-Pass Maths: Measurement
- NOSTT: Measurement
SECTION 5 – STATISTICS
NOTE: The statistical concepts of data collection, analysis, interpretation, organization, summarization and presentation of data are introduced. Topics of study include, mode, median and mean; deviance and standard deviation, population sampling, raw data and probability
VIDEOS
VIDEO
WEBSITE
VIDEOS
- CSEC Maths: Statistics- Cumulative Frequency Curve
- Measures of Spread Range: Variance and Standard Deviation
- Create a histogram
- Mode Median Mean Range & Standard Deviation
- Identifying a Sample and Population
- CXC CSEC Ungrouped Raw Data
VIDEO
- Cumulative Frequency
WEBSITE
- Fas-Pass Maths: Statistics and Probability
SECTION 6 – ALGEBRA
NOTE: Students are introduced to the basic principles of algebra. The rules and methods of computation for Algebraic fractions, factorization by grouping, formulae and algebraic expressions; equations and inequalities and simultaneous equations are examined through practical applications.
VIDEOS
INTERACTIVE
WEBSITE
VIDEOS
- Origins of Algebra
- CSEC Maths: Simplifying Algebraic Fractions
- CSEC Maths: Simplifying Algebra Factorizing by Grouping
INTERACTIVE
- Travel Graphs (Working) Algebra videos and worksheets
WEBSITE
- Fas-Pass Math: Introducing Algebra
- Fas-Pass Math: Equations and Inequalities
- Fas-Pass Math: Algebraic Factorization and Formulae
- NOSTT: Manipulating algebraic expressions equations and inequalities
- Factorization of Algebraic Expressions
- Simultaneous Equations
- Algebra 1
SECTION 7 – RELATIONS, FUNCTIONS AND GRAPHS
Discover the basic concepts of relations and functions as applied in mathematics. Learn about relations and functions and graphs, quadratic equations, solving linear inequalities and linear programming.
POWER POINT
PDF
VIDEOS
WEBSITE
POWER POINT
- CSEC Mathematics Review: Introduction to Functions and Relations [SLIDES]
- Introduction to Relations and Functions
- Relations and function
VIDEOS
- Relations, Functions and Graphs: a review
- CSEC Maths Linear Programming
- CSEC Maths Solving Linear Inequalities
- CSEC Maths A Function and its Inverse
- Relations and Functions
WEBSITE
- Fas-Pass Maths: Relations and Functions
- Fas-Pass Maths: Quadratic Equations
- NOSTT: Working with Functions and Relations
SECTION 8 – GEOMETRY AND TRIGONOMETRY
NOTE: Introduces the basics of Geometry and Trigonometry with special emphasis on the applications of Pythagoras Theorem, Trigonometric Ratios, Plain and Coordinate Geometry and Plain Trigonometry.
VIDEOS
INTERACTIVE
WEBSITE
VIDEOS
- Geometry and Measures
- CSEC and GCSE Maths: Lessons on Trigonometry
- Trigonometry
- Pythagoras Theorem
- Trigonometric Ratios
- CSEC Maths: Lessons on Geometry 1
INTERACTIVE
- Caribbean Exams: BBC Bitesize Quizzes: Geometry and Trigonometry
WEBSITE
- Fas-Pass Maths: Plain Geometry
- Fas-Pass Maths: Coordinate Geometry
- Fas-Pass Maths: Plain Trigonometry
SECTION 9 – VECTORS AND MATRICES
NOTE: Explores the basic concepts of Vectors and Matrices as well as Inverse matrices, 2X2 Matrices, Matrix transformations and Vector components in Algebra.
VIDEOS
WEBSITE
VIDEOS
- Vectors
- CSEC Maths: Matrices- Determinant and Inverse
- Determinant of a 2x2 Matrix
- Vector Components from Magnitude and Direction
- Introduction to Matrices
WEBSITE
- Fas-Pass Maths: Matrices & Matrix Transformations
- Fas-Pass Maths: Vectors
- Vector Algebra Magnitude and Direction
- Matrices: Determinants and Singularity
- Matrices and their Inverses
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San Fernando East Secondary School does NOT reserve the rights to these e-resources. Therefore no part of these publications may be reproduced, stored in a retrieval system, transmitted in any form or by any means, electronic, photocopying, recording or otherwise, without the prior permission from the creators of the work. It is to be used strictly for educational and NOT for commercial purposes. If you own the copyright to any of these resources and it is wrongfully on our website, please contact us at [email protected] and it will be taken down immediately.