Course Description: In this course, students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students also learn concepts central to the abstraction and generalization that algebra makes possible.
- Use number properties to simplify expressions or justify statements
- Describe sets with set notation and find the union and intersection of sets
- Simplify and evaluate expressions involving variables, fractions, exponents, and radicals
- Work with integers, rational numbers, and irrational numbers
- Graph and solve equations, inequalities, and systems of equations
- Determine whether a relation is a function and describe the domain and range of a function
- Use factoring, formulas, and other techniques to solve quadratic and other polynomial equations
- Formulate and evaluate valid mathematical arguments using various types of reasoning
- Translate word problems into mathematical equations, and then use the equations to solve the original problems
- Solve many types of real-world problems
Course Description: In this course, students learn to recognize and work with geometric concepts in various contexts. They build on ideas of inductive and deductive reasoning, logic, concepts, and techniques of Euclidean plane and solid geometry and develop an understanding of the mathematical structure, method, and applications of Euclidean plane and solid geometry.
- Spatial reasoning, and
- Geometric modeling to solve problems.
Topics of study include:
- Right triangles
- Quadrilaterals and other polygons
- Coordinate geometry
- Three-dimensional solids
- The use of transformations, and
- Non-Euclidean geometrics.