Algebra I
Goals
This course introduces basic algebraic skills and techniques. Students will work with numbers and variables as they learn to simplify and evaluate increasingly complex numerical expressions. Equation solution techniques and word problems are studied throughout the year and are encorporated into each unit. Students are encouraged to explain, justify, verify, interpret, draw and label as problem-solving tools. In short, they are encouraged to think critically at all times.
Objectives
Students will:
- solve linear and quadratic equations
- solve systems of equations
- graph on the cartesian plane
- solve inequalities
- analyze data and make projections
- reinforce and maintain foundations for understanding the structure of the real number system
- verbalize concepts and share ideas using the vocabulary and concepts of mathematics
- understand and manipulate radical expressions and equations
- write linear equations
- understand and use exponents
- factor and solve polynomial equations
Geometry
Goals
Geometry is a course that emphasizes both deductive and inductive reasoning. The aim of the course is to prepare students to think about mathematics in a critical fashion, while providing them with the vocabulary and skills required to articulate those thoughts. Objects in the Euclidian plane provide the basis for their investigations, although objects in three-dimensional space will also be studied. Students are encouraged to discover the properties of and relationships between objects and defend their conjectures through deductive reasoning and formal proofs.
Objectives
Students will:
- identify, name and classify geometric shapes, properties and relationships
- analyze geometric relationships using inductive and deductive reasoning
- understand the concept of proof and master the ability to plan and write a proof
- integrate the understanding of geometric principles into everyday life
- explore real-world applications of trigonometry
- consistently review the concepts of Algebra One