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
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 2 |
|||
Course Description: |
IM2 is appropriate for students who have completed IM1 or for 8th grade students who have completed the 8th grade course with a high level of success and comfort. Topics covered in the course include the following: Linear Functions and Linear Systems Students are introduced to the concept of functions, then review linear functions and linear inequalities. Lines of best fit are introduced, as is the use of technology to perform linear regression calculations. Linear systems are reviewed. Coordinate Geometry and Right Triangle Trigonometry Students will use analytical geometry to algebraically "prove" various properties of geometric figures. Trigonometry will be introduced to solve for sides and angles in triangles. Exponential and Quadratic Functions Graphical features of both functions are studied. The algebraic processes involving exponents are reviewed: zero and negative exponents, fractional bases, exponent laws, scientific notation. The algebraic processes of expanding and factoring quadratic equations are taught. The connections between the features of the graphs and the algebraic equations are emphasized. Descriptive Statistics Topics include distributions of univariate data and their shapes, as displayed in dot plots, histograms, and box plots; measures of center including mean and median, and their properties; measures of variability including interquartile range and standard deviation, and their properties; and percentiles and outliers.
|
||
Prerequisites: |
Integrated Mathematics 1 or teacher recommendation from Math 8 |
||
Credit: |
1.0 credit |
||
Length of Course: |
1 year |
||
Recommendations: |
Students must have a graphing calculator (TI-84 calculator is preferred). |
||
| Requirements: | |||