Mathematics in the Modern World

Classroom Rules

• Punctuality is crucial; arriving 30 minutes late results in being marked absent.
• Respect is mandatory for both students and teachers.
• Active listening is required when others are speaking.
• Raise hands to contribute in discussions.
• Bring necessary supplies including a calculator (non-phone), yellow and bond paper, a specialized math notebook, and black/red pens.
• Mobile phone use is prohibited unless otherwise specified, with violators facing confiscation.
• Students can leave for bathroom breaks without permission, but must request permission for other exits; only one at a time when leaving.
• Eating and drinking are restricted to water within the classroom.
• Maintain cleanliness by not littering; contribute to classroom hygiene.
• Full participation in activities is expected; effort is encouraged.
• Students must gather all belongings and dispose of trash before leaving class.

Submission Rules

• Seatwork is collected during class and late submissions are not accepted unless an approved excuse is provided.
• Weekly assessments must be submitted by deadlines set by the instructor, with no acceptance of late work unless there is an excuse slip.
• Quizzes must be submitted on time with special quizzes offered only with prior approval.

Course Description

• Focuses on the nature and significance of mathematics and its application in everyday life.
• Encourages repetition of practices to build mastery and derive pleasure from learning math.
• Understanding and enjoyment of mathematics grow from frequent engagement and the formation of beneficial habits.

Characteristics of Mathematics

• Classification: Organizing objects based on shared traits through specific criteria (shape, color, etc.).
• Logical Sequence: Concepts and ideas must follow a logical progression for clarity and coherence.
• Structure: Refers to how mathematical objects relate to each other and establish further study.
• Precision and Accuracy: Accuracy indicates how close a value is to the true value, while precision measures consistency across measurements.
• Abstractness: Distill underlying principles of concepts minimally associated with real-world objects.
• Symbolism: Mathematical language relies on symbols for clear communication among mathematicians.
• Applicability: Mathematics applies across a broad spectrum, valuable in numerous fields.
• Generalizations: Essential skill in mathematics, promoting critical thinking relevant to societal functions.

Introductory Activities

• Recognizing patterns in sequences enhances problem-solving skills.
• Example sequences include:
  • Rainbow colors (R, O, Y, G, B, I, V).
  • Alphabetical intervals (A, E, I, M, Q, U).
  • Square numbers (1, 4, 9, 16, 25, 36, 49).
  • Triangular numbers (1, 3, 6, 10, 15, 21, 28).
  • Fibonacci sequence (0, 1, 1, 2, 3, 5, 8).

Concepts of Sequence

• Defined as an ordered list of elements based on a specific pattern.
• Understanding the rule governing the sequence aids in identifying subsequent terms.

Week 1 Assessments

• Includes questions on Fibonacci sequences, patterns, and arithmetic/geometric sequences.
• Emphasizes the importance of preparation for future assessments covering mathematical languages, symbols, and expressions.

Study Preparation

• Review critical concepts such as arithmetic and geometric sequences, and Fibonacci relationships for quizzes and assessments.
• Engage with mathematical language and signs to strengthen understanding for upcoming tests.