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 II (AA SL 2)
 

Course Description:

Mathematics: Analysis and Approaches SL II is appropriate for students who successfully completed AA SL Year 1, or an equivalent course. This course focuses on understanding mathematical procedures and algorithms.  Students will be expected to demonstrate the ability to solve mathematical problems both with and without technology.  The course will prepare students for most university programs of study.  With a few exceptions that may require higher level mathematics, this course will meet the needs of most students.  The course covers mathematics across five general topics:

  • Numbers and Algebra,
  • Functions,
  • Geometry and Trigonometry,
  • 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:

SL Analysis and Approaches (AA) Year 1

  
 

Credit:

1.0 credit

  
 

Length of Course:

1 year

  
 

Recommendations:

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

  
  Requirements: