High School Online Program of Studies

Mathematics Department

 PHILOSOPHY

 

 

CAC PK-12 Mathematics Philosophy Statement 

Cairo American College celebrates the beauty of mathematics, inspiring students to make sense of the fascinating elements of content knowledge, while promoting perseverance and intellectual risk taking. Learners construct deep mathematical understanding through exploration of meaningful, complex problems - both independently and in collaboration with others. Using a variety of resources and strategies, learners build new understanding by expanding and refining previous learning experiences.

We believe that: 

  • developmentally appropriate mathematics is accessible to all learners.
  • learners develop mathematical understanding by exploring strategies, questioning, explaining, and reflecting.
  • learners use a variety of mathematical representations to organize, record, and communicate their understanding.
  • learners develop and demonstrate conceptual understanding, procedural proficiency and factual knowledge.

Mathematics Teaching and Learning at CAC:

  • is anchored in research that defines the mathematically proficient student as being able to balance Conceptual Understanding, Procedural Fluency, Strategic Competence, Adaptive Reasoning, and Productive Disposition (National Research Council, Adding it Up), 
  • is grounded in a range of research-based Effective Mathematics Teaching Practices, including a balance of teacher-directed and inquiry-based teaching methodologies, 
  • is differentiated based on levels of readiness in order to meet the needs of all learners,
  • is articulated using the  AERO-CCSS Content and Practice Standards, which also emphasizes learning in four process areas: Problem Solving, Reasoning and Proof, Communication, and Connections, and
  • is aligned with the framework of the International Baccalaureate. 

 

 

 

Mathematics Courses Offered 2023-2024

INTEGRATED MATHEMATICS 1

INTEGRATED MATHEMATICS 2

INTEGRATED MATHEMATICS 3

IB APPLICATIONS AND INTERPRETATIONS II (AI SL 2) 

IB ANALYSIS AND APPROACHES I (AA SL 1) 

IB APPLICATIONS AND INTERPRETATIONS I (AI SL 1)

IB ANALYSIS AND APPROACHES II (AA SL 2)

IB ANALYSIS AND APPROACHES HL I (AA HL 1) 

IB ANALYSIS AND APPROACHES HL II (AA HL 2) 

 

 

 


IB ANALYSIS AND APPROACHES HL II (AA HL 2) 
 

Course Description:

This course is designed for students that are both passionate about mathematics and possess a high level of mathematical aptitude. This is a very demanding course and students need to be ready for the challenge.  For those students who undertake this challenge, it is very rewarding. Students are exposed to a broad range of high level mathematical concepts and procedures, giving them an excellent foundation to pursue complex fields of study at university. These programs may include: engineering, theoretical physics, economic modeling, and mathematics. The course coves mathematics across five general topics:

  • Numbers and Algebra (including complex numbers),
  • Functions,
  • Geometry and Trigonometry (including vectors),
  • Statistics and Probability, and
  • Calculus.

There is a stronger emphasis on calculus and a lighter emphasis on statistics within this course. During year two of this course students will work on an individual exploration that will be submitted as a research paper and assessed as part of their IB score.

 
 

Prerequisites:

HL Analysis and Approaches Year 1

  
 

Credit:

1.0 credit

  
 

Length of Course:

1 year

  
 

Recommendations:

Students must have a graphing calculator (TI-84 calculator is preferred).

  
  Requirements: