Course: Mathematics, Standard Level (SL) 1 Year

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Longview High School International Baccalaureate Diploma Programme 2010 2011 Syllabus for 1 Year

1 Longview High School International Baccalaureate Diploma Programme Syllabus for 1 Year Mathematics SL Student: Grade: : Mathematics, Standard Level (SL) 1 Year Teacher: Larry Cunningham

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-1 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 One Year Math SL Student: Grade: : Mathematics Standard Level 1 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 pace of the one year course will be demanding. 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 to 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 One Year 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. Students will then study concepts of statistics, probability, and calculus. 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. Formulate a mathematical argument and communicate it clearly 9. 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 Last printed 2/25/ :40:00 AM Page 3 of

4 Assessment: 13. Use appropriate technological devices as mathematical tools 14. Demonstrate an understanding of and the appropriate use of mathematical modeling 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. 0% - 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 2009 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 4 of

5 Major Assignments: Assignment Description Deadline Mathematical Investigation Investigation for Portfolio November 19, 2010 Final product for Internal Assessment and IB External Moderation Mathematical Modeling Modeling Project for Portfolio Final product for Internal Investigation and IB External Moderation February 11, 2010 Outline: Week Dates Summary Readings Assignments 1 /23/2010 /27/ /30/2010 9/3/ /7/2010 9/20/2010 9/13/2010 9/17/ /20/2010 9/24/ /27/ /1/ /4/ // /11/ /15/2010 Class Syllabus Class Structure Chapter 1 Relations and Functions Chapter 2 Sequences and Series Chapter 2 Sequences and Series Chapter 3 Exponents Chapter 3 Exponents Chapter 4 Logarithms Chapter 6 Quadratic Functions First Six Weeks Test (cumulative) First Six Weeks Ends Chapter 7 The Binomial Expansion Chapter The Unit Circle and Radian Measure Chapter The Unit Circle and Radian Measure Chapter 9 Non-Right Angled Trigonometric Geometry Last printed 2/25/ :40:00 AM Page 5 of

6 9 10/1/ /22/ /25/ /29/ /1/ /5/ // /12/ /15/ /19/ /29/ /3/ /6/ /10/ /13/ /17/ /4/2011 1/7/ /10/2011 1/14/ /1/2011 1/21/ /24/2011 1/2/ /31/2011 2/4/ /7/2011 2/11/2011 Chapter 10 Advanced Trigonometry Chapter 11 Matrices Second Six Weeks Test (cumulative) Second Six Weeks Ends Third Six Weeks Begins Chapter 12 Vectors in 2 and 3 dimensions Mathematical Investigation Mathematical Investigation Portfolio Due Nov 19 Chapter 12 Vectors in 2 and 3 dimensions Chapter 13 Lines and Planes in Space Chapter 14 Descriptive Statistics Semester Review Semester Exam Chapter 15 Probability Chapter 16 Introduction to Calculus Chapter 17 Differential calculus Chapter 17 Differential calculus Chapter 1 Applications of Differential Calculus Applications of Differential Calculus Math Modeling Portfolio Math Modeling Portfolio Due Last printed 2/25/ :40:00 AM Page 6 of

7 23 2/14/2011 2/1/ /21/2011 2/25/ /2/2011 3/4/ /7/2011 3/11/ /21/2011 3/25/2011 Fourth Six Weeks Test (cumulative) Chapter 19 Derivatives of Exponential and Logarithmic Functions Fourth Six Weeks Ends Chapter 20 Derivatives of Trigonometric Functions Chapter 21 Integration Chapter 21 Integration Chapter 22 Applications of Integration o 3 2 3/2/2011 4/1/2011 Chapter 22 Applications of Integration 29 4/4/2011 4//2011 Chapter 23 Statistical Distributions of Discrete Random Variables 30 4/11/2011 4/15/2011 Fifth Six Weeks Test Chapter 23 Statistical Distributions of Discrete Random Variables Chapter 24 Statistical Distributions of Discrete Continuous Variables o 31 4/1/2011 4/21/ /25/2011 4/29/2011 (cumulative) Fifth Six Weeks Ends Chapter 24 Statistical Distributions of Discrete Continuous Variables IB Review IB Review TAKS Testing Week Last printed 2/25/ :40:00 AM Page 7 of

8 33 5/2/2011 5/6/ /9/2011 5/13/ /16/2011 5/20/2011 5/23/ /27/2011 5/31/ /2/2011 Wednesday, May 4 Mathematics SL Paper 1 Afternoon Thursday, May 5 Mathematics SL Paper 2 Morning The Year in Review The Year in Review Semester Exam Notes: Last printed 2/25/ :40:00 AM Page of

Honors Mathematics. Introduction and Definition of Honors Mathematics

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