Summer Programs

List of 5 frequently asked questions.

• Algebra I

  Algebra 1 deals with the fundamental operations of algebra, introducing variables, algebraic expressions, equations, inequalities, functions, and multiple representations. In this class, students will develop the ability to explore and solve real-world application problems, demonstrate the appropriate use of graphing calculators, and communicate mathematical ideas clearly. This course lays the foundation for mathematical literacy that will help students succeed in every subsequent mathematics course.  

  
  

  Major topics of study include the evaluation of algebraic equations, exponent rules and manipulation, polynomials, solving and graphing linear equations, solving and graphing two variable inequalities, solving systems of equations, radicals, word problems, solving and graphing quadratic equations, and factoring.

• Geometry

  Geometry is a course comprising the sequential and cumulative study of geometric definitions, postulates, theorems, and corollaries implemented through mathematical modeling. The course emphasizes developing reasoning skills through the exploration of geometric relationships, including properties of geometric figures, trigonometric relationships, and mathematical proofs. In this course, deductive reasoning and logic are used in direct proofs.  Direct proofs are presented in different formats (typically two columns or paragraphs) and employ definitions, postulates, theorems, and algebraic justifications, including coordinate methods.

  
  

  Major topics of study will include logical reasoning and formal proofs; properties of triangles, quadrilaterals, and circles; triangle similarity, triangle congruence, and right triangle relationships; analysis of area and volume; properties of two and three-dimensional geometric figures and solids; and geometric constructions and transformations. Prerequisite: Successful completion of Algebra I.

• Algebra II

  Algebra II continues to develop the fundamental algebraic skills needed for success in higher-level mathematics. Algebra II thoroughly studies functions, including parent functions, families of functions, and transformations. Students will develop the ability to create and apply models to situations represented by functions. The continued study of equations, systems of equations, inequalities, quadratics, factoring, and solving quadratic equations builds on Algebra I concepts in greater depth as students work to define new functions. 

  
  

  Major study topics will include linear and quadratic expressions, equations, and functions; polynomial, rational, and exponential functions; logarithmic functions, equations, and expressions; complex and imaginary numbers, sequences, and series; conic sections; basic trigonometry. 

  
  

  Prerequisite: Successful completion of Algebra I and Geometry.

• Precalculus

  Precalculus completes the formal study of the functions begun in Algebra I and Algebra II and extends those ideas into advanced applications that require more complex calculations.  Students will develop a deeper understanding of the fundamental concepts and relationships of functions while strengthening mathematical skills in preparation for Calculus. In addition to content mastery, students will further develop their problem-solving and critical-thinking skills.  

  
  

  Major topics of study will include fundamental concepts of algebra, polynomial equations of higher degrees, complex numbers, solving equations and inequalities, functions and graphs, polynomial functions, rational functions and functions involving radicals, exponential and logarithmic functions, trigonometric functions, sequences and series, conic sections, and probability and stats.

  
  

  Prerequisite: Successful completion of Algebra 1, Geometry, Algebra II.

• Health

  Pass/Fail  

  A 10th grade non-credit course. 
  
  

  This tenth-grade required class is designed to address common challenges high school students face and provide information about fundamental topics to be a successful Portledge student. It is Portledge’s belief that adolescents can make appropriate and healthy decisions when they are afforded the space for self-reflection when confronted with difficult situations and ethical dilemmas. Classes will be taught through various formats around topics including, but not limited to: mental health, nutrition, substance use, and human sexuality. This class enables students to think critically, converse, and reflect on these issues with their peers in a safe and engaging manner of discussions, lectures, activities, and media content, which will set them up for a successful and healthy teenage and Portledge high school experience.

  
  

  This is a 3-week course. Students may select session one or session two.