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ELSD RECOMMENDED RESOURCES FOR CSEC MATHEMATICS

ELSD RECOMMENDED RESOURCES FOR CSEC MATHEMATICS

These recommended free e-resources are specifically aligned with the Caribbean Secondary Education Certificate (CSEC) curriculum framework as suggested in the CSEC Mathematics Syllabus. Resources are provided under each of the following nine general topics of study as recommended by CXC:

 

Number Theory and Computation

Consumer Arithmetic

Sets

Measurement

Statistics

 Algebra

Relations, Functions and Graphs

Geometry and Trigonometry

Vectors and Matrices

 

The syllabus generally aims to:

  • Make Mathematics relevant to the interests and experiences of students by helping them to recognise Mathematics in the local and global environment; CXC 05/G/SYLL16 2
  • Help students appreciate the use of Mathematics as a form of communication
  • Help students acquire a range of mathematical techniques and skills and to foster and maintain the awareness of the importance of accuracy
  • Help students develop positive attitudes, such as open-mindedness, resourcefulness, persistence and a spirit of enquiry
  • Prepare students for the use of Mathematics in further studies
  • Help students foster a ‘spirit of collaboration’, with their peers and others within the wider community;
  • Help students apply the knowledge and skills acquired to solve problems in everyday situations; and,
  • Integrate Information Communications, and Technology (ICT) tools and skills in the teaching and learning processes.

 

NOTE: The student is able to “demonstrate multiple literacies, independent and critical thinking, and innovative application of science and technology to problem solving.” Such a person will demonstrate a positive work attitude and value and display creative imagination and entrepreneurship.

 

INTRODUCTORY MATHEMATICS

 

GENERAL RESOURCES 

Note: Provides introductory and detailed reading on many of the topics covered in the CSEC syllabus

 

E-BOOKS

  • Mathematical Studies and Applications: Mathematics, Business Studies

http://www.sess.ie/sites/default/files/Resources/Cirricular_Material/PP_Maths.pdf

  • The Math e-book of notes and Examples

http://www.mrbartonmaths.com/resources/keystage3/the-maths-ebook.pdf

INTERACTIVE

  • Mathematics Overview: Number & Algebra; Measurement & Geometry; Statistics & Probability

https://www.smsn.wa.edu.au/pdf/events/numeracy_overview.pdf

  • Project Maths for Students

https://www.projectmaths.ie/for-teachers/professional-development/tutorials-for-geometry/

  • CXC Demo E-Tests

https://www.cxc.org/demo-etests/

  • GCSE Maths Revision

https://revisionmaths.com/gcse-maths-revision

  • Home School Math

https://www.homeschoolmath.net/

WEBSITE

  • CSEC Math Tutor: Multiple Choice Questions

https://www.csecmathtutor.com/multiple-choice-practice.html

  • Khan Academy: Math

https://www.khanacademy.org/math

  • Basic Maths Skills

https://samples.jblearning.com/0763758434/58431_DiDona_CH01.pdf

  • Fas-Pass Maths Study Guide

https://www.faspassmaths.com/math-study-guide

  • The St. Maarten Academy- Mathematics

https://www.stmaartenacademy.net/mathematics

  • Worked Solutions for CSEC Examinations 2012 -2016: Mathematics

https://macmillancaribbeanebooks.com/media/ces-samplepdfs/9781380023537_preview.pdf

  • NRICH Secondary

https://nrich.maths.org/secondary

  • Wolfram Math World

https://mathworld.wolfram.com/

  • Free Maths Online Classroom

http://www.ilovelessons.com/week-off-work/

 

TOPIC 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

  • Ratios and Percentages

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percent-problems/v/finding-percentages-example?modal=1

  • Scientific Notation

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-scientific-notation/v/scientific-notation-old

  • Introduction to square roots

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/introduction-to-square-roots

  • CXC CSEC Simplifying Complex Fractions

https://www.youtube.com/watch?v=5nA4AyxmrR8

INTERACTIVE

  • Convert Fractions to Percents

https://www.mathsisfun.com/converting-fractions-percents.html

  • Fraction to Percent

https://www.onlinemathlearning.com/fraction-to-percent.html

WEBSITE

  • GCSE Maths: Number

https://revisionmaths.com/gcse-maths-revision/number

  • Fas-Pass Maths Study Guide: Computation

https://www.faspassmaths.com/math-study-guide

  • Fas-Pass Maths Study Guide: Number Theory

https://www.faspassmaths.com/math-study-guide

  • NOSTT Number Theory

https://wikieducator.org/images/7/7f/Lesson_1-number_theory.pdf

  • NOSTT Computation

https://wikieducator.org/images/2/22/Lesson_2-computation.pdf

 

TOPIC 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

  • Consumer Arithmetic

http://ptitutoring.com/2017/04/19/consumer-arithmetic-cxc-csec-math-study-guide/

VIDEO

  • CSEC Consumer Arithmetic

https://www.youtube.com/watch?v=OesUscSiyA8

  • Simple Interest Tutorial

https://www.youtube.com/watch?v=ZWCXrbnMN-E

  • Consumer Interest Series: Compound Interest

https://www.youtube.com/watch?v=ta3RioeRHjo

WEBSITE

  • Fas-Pass Maths: Consumer Arithmetic

https://www.faspassmaths.com/math-study-guide

  • NOSTT: Consumer Arithmetic

https://wikieducator.org/images/e/e3/Lesson_5-consumer_arithmetic.pdf

  • Consumer Arithmetic: Calculating Interest on Investment

https://www.csecmathtutor.com/consumer-arithmetic---interest.html

  • Consumer Arithmetic: Using Percentages

https://www.csecmathtutor.com/consumer-arithmetic---percentages.html

 

TOPIC 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

  • Venn Diagram

https://www.youtube.com/watch?v=CkV_uRErIqk

  • Introduction to Sets

https://www.youtube.com/watch?v=tyDKR4FG3Yw

  • CSEC GCSE Maths Exam Review: Sets

https://www.youtube.com/watch?v=sIakTOSGo8A

  • Set Theory: Types of Sets; Union and Intersection of Sets

https://www.youtube.com/watch?v=6JkCmZAQaio

  • Intersection and Union of Sets

https://www.khanacademy.org/math/statistics-probability/probability-library/basic-set-ops/v/intersection-and-union-of-sets

WEBSITE

  • Fas-Pass Maths: Set Theory

https://www.faspassmaths.com/math-study-guide

  • Introduction to Sets

https://www.mathsisfun.com/sets/sets-introduction.html

  • Learn Math step-by-step: Sets

https://www.math-only-math.com/

 

TOPIC 4. MEASUREMENTS

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

  • Arc Length and Area of a Sector

https://www.youtube.com/watch?v=D9xX8ip7kRc

  • Area of a Triangle

https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/area-triangle/v/intuition-for-area-of-a-triangle

  • Perimeter and Area

https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-basics

  • Cylinder Volume and Surface Area

https://www.khanacademy.org/math/basic-geo/basic-geo-volume-sa/volume-cones/v/cylinder-volume-and-surface-area

  • Converting Units with Conversion Factors

https://www.youtube.com/watch?v=jqmIbcId3B0

WEBSITE

  • Fas-Pass Maths: Measurement

https://www.faspassmaths.com/math-study-guide

  • NOSTT: Measurement

https://wikieducator.org/images/4/48/Lesson_11-measurement.pdf

 

TOPIC 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

  • CSEC Maths: Statistics- Cumulative Frequency Curve

https://www.youtube.com/watch?v=gxWvBP8_JtQ

  • Measures of Spread Range: Variance and Standard Deviation

https://www.khanacademy.org/math/probability/data-distributions-a1/summarizing-spread-distributions/v/range-variance-and-standard-deviation-as-measures-of-dispersion

  • Create a histogram

https://www.khanacademy.org/math/ap-statistics/quantitative-data-ap/histograms-stem-leaf/v/histograms-intro

  • Mode Median Mean Range & Standard Deviation

https://www.youtube.com/watch?v=mk8tOD0t8M0

  • Identifying a Sample and Population

https://www.youtube.com/watch?v=VPM84_yfx5Q

  • CXC CSEC Ungrouped Raw Data

https://www.youtube.com/watch?v=EZEmoFuERsw

VIDEO

  • Cumulative Frequency

https://www.youtube.com/watch?v=D1s0XPMnHzo

WEBSITE

  • Fas-Pass Maths: Statistics and Probability

https://www.faspassmaths.com/math-study-guide

 

TOPIC 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

  • Origins of Algebra

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:algebra-overview-history/v/origins-of-algebra

  • CSEC Maths: Simplifying Algebraic Fractions

https://www.youtube.com/watch?v=xHe369ITC40

  • CSEC Maths: Simplifying Algebra Factorizing by Grouping

https://www.youtube.com/watch?v=mMitcHZyhSU

INTERACTIVE

  • Travel Graphs (Working) Algebra videos and worksheets

https://mashupmath.com/high-school-math-lessons

WEBSITE

  • Fas-Pass Math: Introducing Algebra

https://www.faspassmaths.com/math-study-guide

  • Fas-Pass Math: Equations and Inequalities

https://www.faspassmaths.com/math-study-guide

  • Fas-Pass Math: Algebraic Factorization and Formulae

https://www.faspassmaths.com/math-study-guide

  • NOSTT: Manipulating algebraic expressions equations and inequalities

https://wikieducator.org/images/4/4a/Lesson_7-algebra.pdf

  • Factorization of Algebraic Expressions

https://byjus.com/maths/factorisation-of-algebraic-expression/

  • Simultaneous Equations

https://www.bbc.co.uk/bitesize/guides/z9y9jty/revision/1

  • Algebra 1

https://www.mathplanet.com/education/algebra-1

 

TOPIC 7. RELATIONS, FUNCTIONS & 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

  • CSEC Mathematics Review: Introduction to Functions and Relations [SLIDES]

https://www.slideshare.net/BajanLearner/csec-mathematics-review-introduction-to-functions-relations

PDF

  • Introduction to Relations and Functions

https://people.ucsc.edu/~miglior/chapter%20pdf/Ch04_SE.pdf

  • Relations and function

http://ncert.nic.in/ncerts/l/keep202.pdf

VIDEOS

  • Relations, Functions and Graphs: a review

https://www.youtube.com/watch?v=AvUlyCzhYBs

  • CSEC Maths Linear Programming

https://www.youtube.com/watch?v=sBRN6OeYxoI

  • CSEC Maths Solving Linear Inequalities

https://www.youtube.com/watch?v=4EaoDdGyCgE

  • CSEC Maths A Function and its Inverse

https://www.youtube.com/watch?v=IqPBfm0SGns

  • Relations and Functions

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-function-intro/v/relations-and-functions

WEBSITE

  • Fas-Pass Maths: Relations and Functions

https://www.faspassmaths.com/math-study-guide

  • Fas-Pass Maths: Quadratic Equations

https://www.faspassmaths.com/math-study-guide

  • NOSTT: Working with Functions and Relations

https://wikieducator.org/images/a/a3/Lesson_15-functions_%26_Relations.pdf

 

TOPIC 8. GEOMETRY & 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

  • Geometry and Measures

https://www.youtube.com/watch?v=iDwoSqwvyig

  • CSEC and GCSE Maths: Lessons on Trigonometry

https://www.youtube.com/watch?v=_BUMEUcQSK8

  • Trigonometry

https://www.youtube.com/watch?v=F21S9Wpi0y8

  • Pythagoras Theorem

https://www.khanacademy.org/math/basic-geo/basic-geometry-pythagorean-theorem/geo-pythagorean-theorem/v/the-pythagorean-theorem

  • Trigonometric Ratios

https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-trig-ratios-intro/v/basic-trigonometry

  • CSEC Maths: Lessons on Geometry 1

https://www.youtube.com/watch?v=7iPihaZnfvA

INTERACTIVE

  • Caribbean Exams: BBC Bitesize Quizzes:  Geometry and Trigonometry

https://caribexams.org/node/1913

WEBSITE

  • Fas-Pass Maths: Plain Geometry

https://www.faspassmaths.com/math-study-guide

  • Fas-Pass Maths: Coordinate Geometry

https://www.faspassmaths.com/math-study-guide

  • Fas-Pass Maths: Plain Trigonometry

https://www.faspassmaths.com/math-study-guide

 

TOPIC 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

  • Vectors

https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/vectors/v/vector-introduction-linear-algebra

  • CSEC Maths: Matrices- Determinant and Inverse

https://www.youtube.com/watch?v=oMSeLftMPm8

  • Determinant of a 2x2 Matrix

https://www.youtube.com/watch?v=0S5VfMNqgaM

  • Vector Components from Magnitude and Direction

https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:vectors/x9e81a4f98389efdf:component-form/v/vector-components-from-magnitude-and-direction

  • Introduction to Matrices

https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:mat-intro/v/introduction-to-the-matrix

WEBSITE

  • Fas-Pass Maths: Matrices & Matrix Transformations

https://www.faspassmaths.com/math-study-guide

  • Fas-Pass Maths: Vectors

https://www.faspassmaths.com/math-study-guide

  • Vector Algebra Magnitude and Direction

https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/vectors/e/adding-vectors-in-magnitude-and-direction-form

  • Matrices: Determinants and Singularity

https://scholar.google.com/scholar?q=Matrices+Determinants+and+Singularity&hl=en&as_sdt=0&as_vis=1&oi=scholart

  • Matrices and their Inverses

https://mathworld.wolfram.com/MatrixInverse.html

 

DISCLAIMER:

NALIS 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.

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