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 APPLICATIONS AND INTERPRETATIONS I (AI SL 1)
 

Course Description:

Mathematics: Applications and Interpretations SL I is appropriate for students who successfully completed IM2, IM3, or an equivalent course. This course focuses on the uses of mathematics more than the process of mathematics.  As such students will have access to a calculator for every aspect of this course.  As such this course is aimed at students who will go on to study social sciences, natural sciences, statistics, business, economics, psychology, and design.  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 statistics in this course and a lighter emphasis on calculus.

  
 

Prerequisites:

Integrated Mathematics 2 or 3 and teacher recommendation

 
 

Credit:

1.0 credit

  
 

Length of Course:

1 year

  
 

Recommendations:

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

 
  Requirements: