IB Math Studies SL
Humble High School IB Program
Syllabus
Instructor: Timothy Nichols, M.Ed.
Room: 4011
Phone:
Email: **************************.tx.us
Cour Description:
Students taking the IB Math Studies SL cour will follow curriculum outlined by the International Baccalaureate Diploma Programme. This cour is offered for students who intend to pursue university studies, which do not require a great deal of further mathematical study. The key objective of this cour is to introduce students to mathematical concepts and principles through the development
of various techniques, allowing for the possibilities of the practical and real-world applications of the subject.
Math Studies SL students are expected to analyze problems using the appropriate notation, terminology, techniques, and graphical prentations. An important focus of this cour is critical thinking and logic, allowing students to demonstrate their comprehension of both the significance and the reasonableness of their results. Students gain experience formulating mathematical arguments and effectively communicating their justifications through a variety of means, including tables, graphs, and diagrams. The applications of technology are also employed as appropriate mathematical tools for problem-solving, data analysis, and prentation of mathematical investigations and modeling.
To incorporate internationalism into the Math Studies curriculum, this cour address the regions of the world where discoveries in the mathematical community have been made. In addition to exploring the historical and social context of the discoveries, regional adaptations to different methods and techniques will be investigated.
A minimum of 130 hours of Math Studies SL theory and 20 hours of an internally assd project ar
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e completed for this cour. In addition to completion of the Math Studies project, further asssments in the form of tests, quizzes, homework, technology projects, and literature rearch, are ud to evaluate student progress throughout the cour and address individual weakness as needed.
Grading
Formative: 30% Summative: 70%
IB Math Studies SL Summary
乘加乘减教学反思IB Math Studies SL cour begins with an introduction to the graphic calculator display (GCD) and a review of student knowledge of numbers and Algebra. Other topics highlighted are functions and equations, analytical geometry and trigonometry, t theory, and probability. Semester II resumes with financial applications of mathematics, quences, ries, and statistics. This mester includes and introduction to differential calculus, and allows for a comprehensive review for external asssment.
财务IB Diploma Programme Topic of Study
Semester I Teaching Hours
Unit I: Introduction to the Graphic Display Calculator (IB Core Topic 1)
1.1 U of GDC to graph functions 1陈仕林
Arithmetic Calculations 1 Entering data into lists 1 Unit II: Numbers and Algebra (IB Core Topic 2)
2.1 Sets of natural numbers, integers, rational numbers and real numbers 1 2.2 Approximation: decimal places, significant figures; Estimation 1 2.3 Expressing numbers using exponents and scientific notation 1 2.4 SI system of measurement and other basic units 2 2.5 Arithmetic quences and ries 2 2.6 Geometric quences and ries 2 2.7 Solutions of systems of equations in two variables 2
Solutions of quadratic equations: algebraically and graphically 3 Unit III: Geometry and Trigonometry (IB Core Topic 5)
5.1 Coordinates in two and three dimensions (Points, lines, mid-points) 2 5.2 Equation of a line in two dimensions 3
Points of interction, parallel, and perpendicular 2 5.3 Right-angled trigonometry – u of Sine, Cosine and Tangent 3 5.4 Sine and cosine rules 4 5.5 Geometry of three dimensional shapes 3
Vertices; angles between lines 3
IB Diploma Programme Topic of Study Teaching
Hours Unit IV: Sets, Logic, and Probability (IB Core Topic 3)
3.1 Basic concepts of t theory: subts, interctions, union, complement 1 3.2 Venn diagrams and simple applications 1 3.3 Sample space; events and complementary events 2 3.4 Basic concepts of symbolic logic: definition of proposition 2
Symbolic notation of propositions 2 3.5 Compound statements: implication, negation, and, or. 1臧克家读音
Translation between verbal statements, symbolic form and diagrams. 2 3.6 Truth tables 2 3.7 Definition of implication: conver, inver, contrapositive 1 3.8 Probability of events 2 3.9 Probability using Venn diagrams, tree diagrams, table of outcomes 2 3.10 Laws of Probability 2 Unit V: Functions (IB Core Topic 4)
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4.1 Concept of a function as a mapping – domain, range 3 4.2 Linear functions and their graphs 3 4.3 Graph of the quadratic function (symmetry, vertex, intercepts) 3 4.4 Graphs and properties of exponential functions 4 4.5 Graphs and properties of the Sine and Cosine functions 4 4.6 Accurate graph drawing 3 4.7 Solving equations using combinations of simple functions 4
IB Diploma Programme Topic of Study
Semester II Teaching Hours
Unit VI: Financial Mathematics (IB Core Topic 8)
8.1 Current conversions 2 8.2 Simple Interest 2 8.3 Compound Interest 3 8.4 U of tables for various topics (loan repayment, interest, inflation) 3 Unit VII: Sequences, Series, and Statistics
6.1 Classification of data as discrete or continuous 1 6.2 Simple discrete data (frequency tables) 2 6.3 Grouped discrete or continuous data (mid-intervals, boundaries) 2
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Frequency histograms; stem and leaf diagrams 2 6.4 Cumulative frequency (percentiles and quartiles) 2
Box and Whisker plots 2 6.5 Measures of central tendency 2 6.6 Measures of dispersion (deviation) 2 6.7 Scatter diagrams (best-fit line); correlations 3 6.8 Linear regression 3 6.9 Chi-square test for independence 3 Unit VIII: Introductory Differential Calculus (IB Core Topic 7)
7.1 Gradient of the line through two points 2
Tangent to the curve 1 7.2 Derivatives of functions 4 7.3 Gradients for given values of x (equation of tangent at given point) 2 7.4 Increasing and decreasing functions 2 7.5 Solutions where the gradient of a curve is zero 2
美术家教
Local maximum and minimum points 2 Comprehensive Exam Review
Asssment
Internal Asssment
Each IB Math Studies SL student will assume responsibility for completion of a project involving the collection, analysis, and evaluation of data. Students can choo from a wide variety of project types such as modeling, investigations, applications, or statistical surveys. Math Studies students u mathematics learned from the curriculum to explore an area of study related to their own individual in
terests. Student work is assd internally and submitted to IBO for moderation. Project work should be thorough, and contain evidence of a student’s knowledge of notation and terminology, ability to communicate mathematical information verbally and graphically, and their ability to appropriately u technology to assist their studies in mathematics.
External Asssment
External asssment will consist of two exam papers given in the spring mester of the cour. Paper 1 consists of fifteen short answer questions that test knowledge across the scope of the Math Studies SL syllabus. Paper 2 is comprid of five extended respon questions, involving sustained mathematical reasoning with an emphasis on real-life applications. While Paper 1 requires the student to perform a mechanical approach to solve the problems, Paper 2 entails problem-solving strategies.
