High School Course Syllabus Outline
I.B. Math Studies SL
Cindy Hammerbacher
I. Description of course: This course will review Algebra I, Geometry, and Algebra II. The course will investigate numerous real life examples where mathematics will be used to answer questions, make generalizations, and make predictions. The correlation between mathematics and other areas, general world occurrences, and topics of interest to students will be presented. Topics of study include: elementary coordinate and analytic geometry, equations and inequalities, functions (linear, piece, step, quadratic, polynomial, radical, and rational), exponential and logarithmic functions, conics, trigonometric functions, sequences and series, statistics and probability, and introduction to differential calculus. This course includes a mathematical project, the Internal Assessment, that allows students to compile, organize, and analyze a real-world situation in a mathematical context.
II. Objectives: Students will cover the following topics:
Topic 1: Introduction to the graphic display calculator.
Topic 2: Number and Algebra
§ Sets of Numbers
§ Approximation, Rounding, and Estimation
§ Use of Scientific Notation
§ SI and Other Basic System of Units
§ Arithmetic and Geometric Sequences, Series, and Applications
§ Solving Linear and Quadratic Equations
§
Topic 3: Sets, Logic, and Probability
§ Basic Concepts of Set Theory and Set Relations
§ Venn Diagrams and Applications
§ Sample Space
§ Basic Concepts of Symbolic Logic
§ Compound Statements
§ Truth Tables, Contradiction, and Tautology
§ Implication and Related Concepts
§ Introduction to Probability
§ Laws of Probability
§
Topic 4: Functions
§ Concept of Mapping
§ Linear Functions
§ Quadratic Functions
§ Exponential Functions
§ Sine and Cosine Functions
§ Polynomial Functions
§ Rational Functions
§ Logarithmic Functions
§ Using a GDC to Solve Equations Involving Above Functions
Topic 5: Geometry and Trigonometry
§ Coordinates, Points, and Lines in Two Dimensions
§ Lines: Properties and Relationships
§ Right Triangle Trigonometry, Sine, Cosine, and Tangent
§ Sine and Cosine Rules and Area of a Triangle
§ Geometry of Solids
Topic 6: Statistics
§ Discrete and Continuous Data
§ Frequency Tables and Polygons
§ Grouped and Continuous Data, Histograms, and Stem Plots
§ Cumulative Frequency, Box Plots, Percentiles, and Quartiles
§ Measures of Central Tendency for Discrete and Continuous Data
§ Measures of Dispersion
§ Scatter Diagrams and Linear Correlation
§ Bivariate Data
§ Linear Regression
§ The Chi-Squared Test
Topic 7: Introductory Differential Calculus
§ Gradient of a Line Through Two Points on a Curve and Tangent to a Curve
§ Derivatives of Polynomials and Negative Powers of the Variable
§ Gradient of a Curve and Equation of a Tangent to a Curve
§ Increasing and Decreasing Functions
§ Zero Gradient, Local Maxima and Minima
Topic 8: Financial Mathematics
§ Currency Conversions
§ Simple and Compound Interest
§ Depreciation
§ Loans and Investments
§ Inflation
III. Grading procedures:
Major Grades:
Tests, Practice Exam Questions, Activities 70%
Re-teaching of material will take place in tutoring before or after
school. The students may also listen to the online recorded lesson
in LMS.
Any non-zero, failing test grade may be retested. Retest must be
taken within five school days after the grade is posted in Grade Speed.
Maximum score allowed on a retest is 70%.
Minor Grades:
Quiz/Daily 20%
Homework 10%
Late policy: One day late will receive 50% of the completed homework.
Beyond one day late results in a grade of zero.
IV. Grade Repair procedures: None exists for this I.B. course.
V. EOC information: Not applicable for this I.B. course.
VI. Tutoring times/places: Every morning at 6:30 am and from 2:30-3:30 pm on
Monday, Tuesday, and Thursday unless I have duty, a parent meeting, or a campus
meeting.
VII. Test days:
Math test days are Tuesday and Friday.
Test makeup days are Wednesday at 6:30 am and Thursday at 2:40-3:30 pm.
VIII. Teacher contact information:
Cindy Hammerbacher
Phone: 832-484-4858
Conference period: 1:36—2:25
IX. Required and suggested supplies:
Tablets are used daily, so please bring your tablet, stylus, and charger everyday.