DP Mathematics: Applications and Interpretation Year II

Course Syllabus: IB Mathematics: Applications and Interpretation

Teacher: Mrs. Chelsea Moorman Email: [email protected]

Office Hours / Tutoring: Wednesdays from 3:30-4:30 or by appointment (I don’t have either lunch period off.)

Link: https://meet.google.com/lookup/BOYCPMoormanOfficeHours

Google Classroom Important Links:

Course Description

This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used in applications or in mathematical modeling. To give this understanding a firm base, this course also includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics. This course makes extensive use of technology to allow students to explore and construct mathematical models. Mathematics: Applications and Interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures.

Diploma Programme (DP) Exams in this Course:

This is an IB Diploma level course which means it can count as college credit. In order to be eligible for this opportunity, you need to complete this full two-year course and then test in the May term of your senior year (similar to AP). Over the course of the next two years, this course will prepare you for the following DP exams needed to attain college credit for this class:

Assessment Component

Weighting

External Assessment (3 hours)

Paper 1 (1 hour 30 minutes)

15 compulsory short-response questions based on the whole syllabus. (90 marks)

Paper 2 (1 hour 30 minutes)

6 compulsory extended-response questions based on the whole syllabus. (90 marks)

80%

40%

Internal Assessment (Year 2)

This component is internally assessed by the teacher and externally moderated by the IB at the end of the course

Project

The project is an individual piece of work involving the collection of information or the generation of measurements, and the analysis and evaluation of the information or measurements. (20 marks)

20%

Topics that will be taught in the DP Program

Topic 1: Number and Algebra (YEAR 1)
Topic 2: Functions (YEAR 1)
Topic 3: Geometry and Trigonometry (YEAR 1)
Topic 4: Statistics & Probability (YEAR 2)
Topic 5: Calculus (YEAR 2)

Course Outline - Year 1

Quarter 1:

Unit 1: Dividing up Space: Coordinate Geometry, Lines, and Voronoi Diagrams

Unit 2: Unit 2: Arithmetic and Geometric Sequences and Finance

Rounding and Significant Figures
Coordinate Geometry
Equations of Lines
Voronoi Diagrams
Arithmetic and Geometric Sequences and Series
Financial Applications

Quarter 2:

Unit 3: Modeling Relationships with Functions

Exponential Functions
Quadratic Functions

Cubic Functions
Polynomial Functions
Logarithmic Functions

Quarter 3:

Unit 4: Modeling Periodic Phenomena

Trigonometric Functions
Right Angled Trigonometry
Non-Right Angled Trigonometry
Periodic Functions
Sinusodial Functions

Quarter 4:

Unit 5: Measuring and Representing Space: 2D & 3D Geometry

3D Geometry
Area and Volume

Course Outline - Year 2

Quarter 1:

Unit 1: Unit 1: Representing and Describing Data: Descriptive Statistics

Unit 2: Modelling Relationships: Linear Correlation of Bivariate Data

Data sources
Measures of central tendency
Measures of dispersion
Linear correlation of bivariate data
Pearson's product-moment correlation coefficient, r
Regression line

Quarter 2:

Unit 3: Quantifying Uncertainty: Probability, Binomial, and Normal Distributions

Probability
Venn diagrams
Binomial distributions
Normal distributions

Quarter 3:

Unit 4: Testing for Validity: Spearman's Hypothesis Testing and Chi-Squared Test for Independence

Internal Assessment

Spearman's rank correlation coefficient
Chi-squared test
t-test

Quarter 4:

Unit 5: Analyzing Rates of Changes: Differential Calculus

Unit 6: Approximating Irregularly Spaces: Integration

Limits
Derivatives
Integrals
Optimisation

Grading Policy

Year 1 Students will earn traditional letter grades: A 90 – 100% B 80 – 89% C 70 – 79% D 60 – 69% F 0 – 59%	Grade Categories	Weight
	Criterion A: Knowing and Understanding	25%
	Criterion B: Inquiry/Cognitive Activators	15%
	Criterion C: Interpretation/Communication	15%
	Criterion D: Application	20%
	Problem Solving (warm-up, exit slips, homework)	10%
	External Assessment (Paper One & Paper Two Style Final Exam)	15%

Year 2 Students will earn traditional letter grades: A 90 – 100% B 80 – 89% C 70 – 79% D 60 – 69% F 0 – 59%	Grade Categories	Weight
	Criterion A: Knowing and Understanding	25%
	Criterion B: Inquiry/Cognitive Activators	15%
	Criterion C: Interpretation/Communication	15%
	Criterion D: Application	15%
	Problem Solving (warm-up, exit slips, homework)	10%
	External Assessment (Paper One & Paper Two Style Final Exam)	20%

Attendance

Required Materials

Academic Honesty

All BOYCP students must adhere to the school's Academic Honesty policy. We define Academic Honest as, "Behaving and working honestly in researching and presenting school work. This includes respecting the ownership of the ideas and material of other people and behaving appropriately when sitting for class."

This policy prohibits: plagiarism, collusion, duplication and cheating on all assignments, homework, projects, assessments, essays, and papers. Please re