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) 

 

 

 


INTEGRATED MATHEMATICS 1
 

Course Description:

This course provides students with rich instruction that will advance their critical, procedural and conceptual understanding of mathematical practices. Students will be given additional support and guidance as needed. All students are expected to work collaboratively and independently throughout the course. IM1 is designed to build fluency in mathematics and solidify understanding of foundational algebraic concepts. At the end of IM1, students will be proficient in the following concepts:

Solving Equations & Inequalities

At the start of the year, students will refine their skills in solving basic linear equations and inequalities. Students will build fluency in using inverse operations to isolate a given variable, solving equations with variables on both sides, combining like terms, and using the distributive property.

Linear Functions & Features

Students will use linear functions to model real-world conditions. Slope will be used to identify the rate of change between variables as well as help students master their understanding of the following: domain, range, intercepts, and increasing & decreasing intervals.

Systems of Equations & Inequalities

Students will extend previous knowledge to solve a system of two equations or inequalities. Students will use real-world situations to explore the idea of a "solution" to a system while analyzing what it means in context.

Coordinate Geometry 

This unit will build upon previous knowledge of geometry. Students will explore and analyze geometric properties while making new connections using higher-level math.

Exponential Relations

Students will learn about the foundational laws of exponents. Students will use previous knowledge to build basic exponential growth functions. Students will explore and work with exponential growth and decay, in both abstract and contextual conditions.

 

  
 

Prerequisites:

None

  
 

Credit:

1.0 credit

  
 

Length of Course:

1 year

  
 

Recommendations:

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

  
  Requirements: