Course Overview

Explorations in Mathematics A is the first part of a two-course sequence designed to build a strong foundation in essential mathematical concepts and problem-solving skills. This course helps students strengthen their number sense, develop confidence with rational numbers, and apply algebraic reasoning to prepare for higher-level mathematics.

Key Learning Focus

Students will:

• Explore properties of rational numbers, including divisibility patterns, prime factorization, greatest common factor (GCF), and least common multiple (LCM).
• Perform operations with rational numbers: addition, subtraction, multiplication, and division.
• Identify, write, and solve expressions and equations using variables.
• Apply fundamental mathematical properties—including the Associative, Commutative, and Distributive Properties—to simplify and solve equations.

Instructional Approach

Instruction emphasizes both conceptual understanding and procedural fluency. Students engage with problems that highlight patterns, structures, and strategies, helping them connect abstract concepts with practical applications.

Outcome

By the end of Explorations in Mathematics A, students will have a solid understanding of rational numbers, operations, and introductory algebraic concepts. This course prepares students for Explorations in Mathematics B, where they will continue to expand their mathematical reasoning and problem-solving skills.