Course: Mathematics, Standard Level (SL) 2 Year

Transcription

1 Longview High School International Baccalaureate Diploma Programme Syllabus for Year 1 Student: Grade: : Mathematics, Standard Level (SL) 2 Year Teacher: Larry Cunningham Last printed 2/25/ :40:00 AM Page 1 of

2 Longview High School International Baccalaureate Diploma Programme Syllabus Form Return to Mrs. Spearman by Friday, September 3, 2010 Name: ID Number: Grade: : Mathematics Standard Level 2 Year Teacher: Mr. Cunningham As the student completes this course, the following learner characteristics will be developed: Standards of academic integrity as outlined in the International Baccalaureate Academic Honesty publication: - Personal integrity - Misuse of intellectual property - Authenticity of student work - Understanding of collaboration as working together on a common aim with shared information and does not result in allowing one s work to be copied Respect for classmates Respect for teacher Respect for the classroom environment Respect for the classroom equipment Promptness Preparation Ability to have needed materials on hand Ability to meet deadlines As the teacher leads this course, the following will be developed: Student and teacher as a learning team Climate of caring Climate of support for the student as a learner Help available whenever requested by the student (Students should request help immediately. The teacher will be delighted to provide any support and help necessary.) When major* assignments are graded using an IB rubric, the following conversion will be used: IB Mark Percentage Grade Assignment will be resubmitted by student. *Major assignments graded by IB rubrics will be designated by the teacher. These are not daily grades. I have received and read the IB course syllabus for the course My student has received and read the IB course syllabus shown above. I understand the course requirements and agree to comply by for the course shown above. I have also read the syllabus. I the contents of the syllabus. understand the course requirements and agree to comply by the contents of the syllabus. Last printed 2/25/ :40:00 AM Page 2 of

3 Student Signature Date Parent Signature Date Longview High School International Baccalaureate Diploma Programme Syllabus for Year 1 Student: Grade: : Mathematics Standard Level 2 Year Teacher: Larry Cunningham Description: The IB Mathematics Standard Level is designed to educate students with a sound mathematical background that will prepare them to study university subjects which incorporate mathematics to a moderate level such as chemistry, economics, psychology, or business. The course will expose students to a wide variety of mathematical concepts and ask them to put those concepts together using logical methods. The course will demonstrate links between different areas of mathematics as well as show how math can be used as a tool t o our understanding of events in the natural world. Students will explore how mathematics can be applied in different situations, construct appropriate models, and offer suitable solutions. Students will be asked to explain and thoroughly justify their observations using words, charts, and graphs. Topics: Outcomes: Students in the Mathematics SL Year 1 Class will study functions and the algebra related to them. There will be detailed study of rational, quadratic, exponential, logarithmic, and trigonometric functions, including the unit circle and radian measure. Students will also study arithmetic and geometric sequences and series, the binomial expansion, matrices, and vectors in both 2 and 3 dimensions. Upon completion of the Mathematics SL course, students will be able to: 1. Think logically, critically, and creatively 2. Appreciate the elegance, usefulness, and power of mathematics 3. Demonstrate patience and persistence in solving problems 4. Appreciate the multicultural and historical perspectives of mathematics 5. Read, interpret and solve problems using appropriate mathematical terminology 6. Organize and present information and data in tabular, graphical, written, and/or diagrammatic forms 7. Know and use appropriate mathematical notation and terminology 8. Formulate a mathematical argument and communicate it clearly. Select and use appropriate mathematical strategies and techniques 10. Demonstrate an understanding of both the significance and the reasonableness of results 11. Recognize patterns and structures in a variety of situations and make generalizations 12. Recognize and demonstrate an understanding of the practical applications of mathematics 13. Use appropriate technological devices as mathematical tools 14. Demonstrate an understanding of and the appropriate use of mathematical modeling Last printed 2/25/ :40:00 AM Page 3 of

4 Last printed 2/25/ :40:00 AM Page 4 of

5 Assessment: IB Assessment 20% - Internal Assessment A collection of two pieces of work assigned by the teacher and completed by the student during the course. The pieces of work must be based on different areas of the syllabus and represent the two types of tasks: mathematical investigation mathematical modeling. The portfolio is internally assessed by the teacher and externally moderated by the IBO. This assessment will be practiced during year one and will be assessed in year two. 80% - External Assessment This assessment will be given at the end of the second year and will be externally graded by the IBO. Paper 1 40% (no calculator) Section A 20% Short response questions based on the whole syllabus Section B 20% Extended response questions based on the whole syllabus Paper 2 40% (Graphing Calculator Required) Section A 20% Short response questions based on the whole syllabus Section B 20% Extended response questions based on the whole syllabus Throughout the course there will be an emphasis on IB strategies and IB marking schemes. Grades may include quizzes, tests, homework, projects, research and presentations. The course will be designed so that students will have the best opportunity to be successful on the IB exam. Resources: Mathematics for the International Student, Mathematics SL, Second Edition, Haese and Harris Publications 200 Teaching Time: Year One 150 hours There are many factors that may influence this outline. It is a dynamic document and could change. Last printed 2/25/ :40:00 AM Page 5 of

6 Major Assignments: Assignment Description Deadline Mathematical Investigation Practice Investigation December, 2010 Final product for IB External Moderation will come in year 2 Mathematical Modeling Practice Modeling Project Final product for IB External Moderation will come in year 2 March, 2011 Outline: Week Dates Summary Readings Assignments /23/2010 8/27/2010 8/30/2010 /3/2010 /7/2010 /20/ /13/2010 /17/2010 Class Syllabus Class Structure Assumed Knowledge Pretest Chapter 1 Relations and Functions Relations, Functions, and Function Notation Domain and Range Composite Functions Relations and Functions (cont) Composite Functions Sign Charts Rational functions Inverse Functions Chapter 2 Sequences and Series Number Patterns Chapter 1 Test (Functions and Relations) Sequences and Series Number Patterns Sequences of Numbers Arithmetic Sequences Geometric Sequences Series Relations, Functions, and Function Notation Domain and Range Last printed 2/25/ :40:00 AM Page 6 of

7 5 6 /20/2010 /24/2010 /27/ /1/ /4/ /8/ /11/ /15/2010 Chapter 2 Test (Sequences and Series) Chapter 3 Exponents Exponential Notation Evaluating Powers Laws of Exponents Rational Exponents Expansion and Factoring Exponential Equations and Graphs First Six Weeks Test (cumulative) First Six Weeks Ends Second Six Weeks Begins Growth and Decay The Natural e Chapter 3 Test (Exponents) Chapter 4 Logarithms Base Ten Logarithms Laws of Logarithms Natural Logarithms 10/18/ /22/2010 Exponential Equations and Logarithms Change of Base Rule Graphs of Logarithmic Functions Growth and Decay 10 10/25/ /2/2010 Chapter 4 Test (Logarithms) Chapter 5 Graphing and Transforming Functions Families of Functions Transforming Graphs Chapter 6 Quadratic Functions Quadratic Equations The Discriminant Last printed 2/25/ :40:00 AM Page 7 of

8 /1/ /5/ /8/ /12/2010 Second Six Weeks Test (cumulative) Quadratic Functions Graphs of Quadratic Functions Finding a Quadratic Function from its Graph Second Six Weeks Ends Third Six Weeks Begins Quadratic Functions Where Functions Meet Quadratic Problem Solving Optimization 13 11/15/ /1/2010 Chapter 5 (Graphing and Transforming Functions) and Chapter 6 (Quadratic Functions) Test Chapter 7 The Binomial Expansion Binomial Expansions The Binomial Theorem 14 11/2/ /3/ /6/ /10/ /13/ /17/ /4/2011 1/7/ /10/2011 1/14/2011 Chapter 7 Test (The Binomial Expansion) Mathematical Investigation Mathematical Investigation Third Six Weeks Test (cumulative) Semester Review Mathematical Investigation Due Semester Review Semester Exam Chapter 8 The Unit Circle and Radian Measure Radian Measure Arc length and Sector Area The unit circle and basic trigonometric ratios the equation of a line Last printed 2/25/ :40:00 AM Page 8 of

9 1 1/18/2011 1/21/2011 Chapter 8 Test (The Unit Circle and Radian Measure) Chapter Non-Right Angled Trigonometric Geometry Areas of Triangles Law of cosines Law of sines 20 1/24/2011 1/28/2011 Using the laws of sines and cosines Chapter Test (Non Right Angled Trigonometric Geometry) 21 1/31/2011 2/4/2011 Chapter 10 Advanced Trigonometry Observing periodic behavior The sine function Modeling using sine functions /7/2011 2/11/2011 2/14/2011 2/18/2011 2/21/2011 2/25/ /28/2011 3/4/2011 The cosine function The tangent function general trigonometric functions trigonometric equations using trigonometric models trigonometric relationships Fourth Six Weeks Test (cumulative) Fourth Six Weeks Ends double angle formulae trigonometric equations in quadratic form Chapter 10 Test (Advanced Trigonometry) Mathematical Modeling Project Mathematical Modeling Project Mathematical Modeling Project Due Last printed 2/25/ :40:00 AM Page of

10 26 3/7/2011 3/11/2011 Chapter 11 Matrices Matrix Structure Matrix operations and definitions Inverse of a 2 x 2 matrix 3 x 3 matrices 27 3/21/2011 3/25/ /28/2011 4/1/ /4/2011 4/8/ /11/2011 4/15/2011 Solving systems of linear equations Chapter 11 Test (Matrices) Chapter 12 Vectors in 2 and 3 dimensions Introduction Geometric operations with vectors 2-D vectors in component form 3-D coordinate geometry 3-D vectors in component form Algebraic operations with vectors Parallelism Unit vectors Fifth Six Weeks Test (cumulative) o o /18/2011 4/21/ /25/2011 4/2/2011 Fifth Six Weeks Ends Scalar product of two vectors Relationships between lines Chapter 12 Test (Vectors in 2 and 3 Dimensions) TAKS Testing Week 33 5/2/2011 5/6/ //2011 5/13/2011 Chapter 13 Lines and Planes in Space Lines in 2-D and 3-D Applications of a line in space Chapter 13 Test (Lines and Planes in Space) Sixth Six Weeks Test (cumulative) 35 5/16/2011 5/20/2011 The Year in Review Last printed 2/25/ :40:00 AM Page 10 of 10

11 5/23/ /27/2011 5/31/ /2/2011 The Year in Review Semester Exam Notes: Last printed 2/25/ :40:00 AM Page 11 of 11