In the Sawyer Scholastics system, the following courses are the core subjects for high school and are required to be taken by every student. Students may choose to replace Pre-Caluculus / Calculus with a Statistics course.
Mathematics
Algebra 1
Students will excel in linear equations and inequalities, mastering the art of solving them using substitution, elimination, and graphing techniques. They’ll apply these skills to real-world problems involving proportions and rates of change and learn to graphically represent and interpret linear inequalities. Building algebraic fluency, they’ll simplify and manipulate expressions with exponents, factor polynomials, and perform operations with rational expressions. They’ll also solve equations and inequalities involving polynomials using algebraic properties and strategies.
In functions and relationships, students will define and analyze linear and quadratic functions using equations, graphs, and tables, recognizing and interpreting transformations such as shifts and stretches. They’ll apply these functions to solve real-world problems. Systems of equations and inequalities will be tackled with various methods, including matrices, and students will graph and analyze these systems to solve practical problems.
Data analysis and statistics will involve interpreting data sets using measures of central tendency and dispersion, creating and interpreting graphs like histograms and box plots, and solving probability problems involving simple events. Geometric reasoning will be applied to solve measurement and spatial relationship problems, utilizing the Pythagorean theorem and calculating area and perimeter of basic shapes.
Effective problem-solving strategies will be developed across diverse math topics, constructing logical arguments, and learning from mistakes. Technology integration will enhance their learning experience through graphing calculators and online resources. Cultivating a positive math attitude, students will embrace challenges, collaborate effectively, and appreciate the beauty of mathematics.
Preparing for higher-level math, students will solidify foundational knowledge, develop strong study habits, and explore potential career paths related to math. They will be well-equipped for future success in advanced math courses and beyond.
Algebra 2
Deepening functions and their applications guides students through polynomial, exponential, and logarithmic functions, focusing on their properties, transformations, and graphical representations. They’ll model real-world phenomena in physics, engineering, economics, and social sciences.
Building algebraic fluency equips students to master complex numbers, matrices, polynomials, radicals, and inequalities, enabling them to solve intricate problems and equations, preparing them for higher mathematics and real-world applications.
Exploring sequences and series introduces students to mathematical patterns and infinite sums. They’ll define arithmetic and geometric sequences, compute their elements, and explore infinite series through convergence tests, applying these concepts in finance and probability.
Conquering trigonometry reveals geometric relationships and trigonometric identities. Students will master the unit circle and trigonometric functions, solving problems in vectors, complex numbers, and wave phenomena, applying these concepts in navigation, engineering, and physics.
Problem solving and modeling transforms theory into practical solutions. Students will develop strategies to solve algebraic puzzles and create mathematical models for real-world situations, sharpening their analytical skills.
Technology integration harnesses digital tools for visualization and analysis. Students will use graphing calculators, computer algebra systems, and coding to streamline tasks, connecting with a global community of learners.
Fostering mathematical communication and collaboration cultivates a community of learners adept at articulating ideas and discussing solutions. Through discussions, presentations, and debates, students will refine their communication and public speaking skills.
A positive math attitude and growth mindset foster resilience and curiosity. Embracing challenges and mistakes as growth opportunities, students will uncover the beauty and power of mathematics, preparing for future academic pursuits and careers in STEM fields.
Geometry
Students will master geometric proofs using logic, axioms, and postulates, proving theorems about lines, angles, triangles, and parallelograms. They’ll apply concepts like congruency, similarity, and angle relationships, enhancing critical thinking through indirect proofs and fallacy analysis.
In two-dimensional geometry, students will classify and analyze polygons, calculate area, perimeter, and volume, and prove triangle congruency and similarity, applying concepts in fields like architecture and design.
In three-dimensional geometry, students will visualize figures like spheres and cylinders, mastering surface area and volume calculations, and solve real-world spatial problems.
They’ll define and use right triangle trigonometric ratios (sine, cosine, tangent) and apply the Pythagorean theorem and identities in practical scenarios.
Spatial reasoning and visualization skills will be developed through transformations and geometric constructions. Students will explore circle properties, proving theorems about inscribed and circumscribed circles, and constructing tangent lines.
Problem-solving will involve creative strategies, clear communication, and technology integration with geometric software and coding.
Finally, students will cultivate a positive math attitude and collaborative skills, connecting geometry to real-world applications in engineering, architecture, and technology.
Pre-Calculus / Calculus
Students can choose to take a combined Pre-Calculus / Calculus course (1 semester each) or a full course in both. Students may also choose to take the AP Pre-Caluculus and Calculus courses.
- AP Pre-Calculus
- AP Calculus AB is an introductory college-level course in calculus that explores the concepts and applications of differential and integral calculus. This AP course culminates in an AP Exam that’s designed to test your understanding of the theoretical basis of course content and your ability to solve problems by applying your knowledge and skills.
- AP Calculus BC is similar to AP Calculus AB. It explores the same concepts and applications, only it adds a few new topics. In other words, AP Calculus BC covers more content than AP Calculus AB, though both courses require you to apply the same skills.
Mastering Functions and Transformations guides students through a comprehensive exploration of mathematical functions, from polynomial to exponential forms, and the profound impact of transformations such as stretching and reflecting on graph dynamics. Analyzing concepts like limits, continuity, and periodicity enhances their ability to model real-world scenarios across various disciplines.
Conquering Trigonometric Equations and Identities empowers students to navigate trigonometry with precision, solving equations and applying identities to simplify expressions and model periodic phenomena effectively.
Exploring Conic Sections and their Applications introduces students to parabolas, ellipses, and hyperbolas, emphasizing their practical use in optimization and design contexts.
Mastering Vectors and Matrix Operations delves into geometric interpretations and practical applications, enabling students to solve systems of equations and model transformations in space accurately.
Calculus Essentials introduces limits, derivatives, and integrals, laying the groundwork for advanced mathematical exploration and their application in solving real-world problems.
Problem Solving and Creative Thinking fosters innovative approaches to calculus challenges, promoting clear communication and collaborative learning.
Technology Integration and Exploration equips students with digital tools to visualize concepts and solve complex problems, connecting them with a global community of learners.
Fostering a Growth Mindset and Collaborative Learning encourages resilience and teamwork, preparing students for success in calculus and beyond in STEM fields.
Connecting Pre-Calculus to STEM Applications highlights the practical implications of mathematical concepts across diverse disciplines.
Preparing for Higher-Level Math solidifies foundational skills and prepares students for future academic and career pursuits in STEM.
English Language Arts
9th Grade ELA
Mastering language and literary analysis involves deepening vocabulary through etymology and nuanced synonyms, while exploring complex figurative language like metaphors and symbolism. Reading fluency is refined through expressive interpretation of texts, analyzing authorial voice and historical context. Research skills are elevated with precise questioning, efficient source evaluation, and synthesis of findings into diverse formats. Analytical writing focuses on crafting well-organized essays with strong arguments and varied styles, supported by grammar mastery. Literary appreciation expands through exploring diverse genres and cultural perspectives, fostering empathy and critical engagement. Technology integration enhances digital literacy, promoting responsible online behavior and media analysis. Collaboration skills are nurtured through effective group work and presentation of ideas. Independent learning is cultivated with goal setting and adaptive strategies, while fostering a lifelong love of reading and writing encourages advocacy for literacy and cultural understanding.
10th Grade ELA
Embark on a transformative journey of language and literature where you’ll master the intricate nuances of advanced vocabulary and rhetoric. Dive deep into etymology, context clues, and subtle meanings to wield language with precision and sophistication. Explore complex figurative language and literary devices like irony and satire, gaining a nuanced understanding that enriches your analysis and interpretation. Elevate your research and inquiry skills to expert levels as you formulate nuanced questions, evaluate diverse sources critically, and synthesize information into compelling arguments. Refine your persuasive and analytical writing through well-structured essays, diverse writing styles, and rigorous analysis of viewpoints. Deepen your appreciation of literature through diverse readings and active engagement in literary discussions, expanding your cultural and thematic insights. Embrace media literacy to navigate digital landscapes responsibly, distinguishing credible sources from misinformation with confidence. Foster collaborative learning and communication skills through group projects and presentations, honing your ability to articulate ideas effectively and provide constructive feedback. Cultivate self-directed learning habits and set personal goals, nurturing a lifelong love for reading and writing that celebrates diverse voices and perspectives. Gain interdisciplinary insights by connecting literary themes with history, science, and the arts, fostering creativity and innovative expression across various mediums.
11th Grade ELA
In the 11th Grade, students may choose to take the AP English Language and Composition.
Join us on an immersive exploration of language and literature where you’ll master the nuances of advanced vocabulary and style. Delve into the intricacies of etymology and root words, uncovering subtle shades of meaning through independent study and academic inquiry. Analyze complex figurative language and literary devices like allusion and symbolism with precision, gaining a deep understanding that enhances your interpretation of texts. Refine your communication skills as you apply a sophisticated vocabulary in oral presentations and written compositions, adapting seamlessly to diverse audiences and purposes. Elevate your research prowess to independent scholar level, crafting original inquiries and synthesizing findings through meticulous analysis and varied presentation formats. Engage deeply with diverse literature, forging connections across cultures and historical periods, and participating actively in literary discourse and creative projects that celebrate the rich tapestry of human expression. Gain expert-level media literacy skills to navigate digital landscapes responsibly, distinguishing fact from fiction and advocating for informed dialogue in an interconnected world. Foster collaborative learning environments where respectful dialogue and constructive feedback flourish, empowering you to shape your academic journey and contribute meaningfully to global conversations.
12th Grade ELA
In 12th Grade, students may choose to take the AP English Literature and Composition.
Master the nuances of language and literary expression, while you expand your vocabulary to include advanced academic and literary terminology, uncovering the subtle shades of meaning and exploring figurative language. Dive deep into complex linguistic and literary devices, analyzing intertextuality, metafiction, ambiguity, and sophisticated rhetorical strategies. Hone your research skills by formulating original and intricate questions, identifying credible sources, and synthesizing information into compelling research presentations and papers. Elevate your writing to an expert level, crafting well-organized essays and arguments, and developing a distinct and authentic voice across diverse styles and techniques. Delve into the rich world of literature, analyzing diverse works with a profound understanding of historical context and literary theory, while participating in dynamic discussions and independent literary projects. Cultivate advanced media literacy to navigate and critically evaluate information across digital landscapes, recognizing bias, manipulation, and misinformation. Foster collaborative learning through effective participation in seminars, discussions, and group projects, honing public speaking skills and providing valuable peer feedback. Embrace self-directed learning by setting and monitoring personal academic goals, utilizing resources effectively, and managing academic pressures with resilience. Celebrate the joys of reading and writing, exploring diverse genres and creative expressions, and advocating for literacy and literary engagement within the community. Nurture personal and social responsibility by analyzing literature’s reflection on cultural norms, social issues, and global perspectives, and utilizing your language skills to advocate for social justice and global change. Finally, embrace interdisciplinary learning by connecting literary themes to other disciplines, engaging in innovative projects, and exploring the interplay between language and various artistic forms.
Science
Chemistry
Students may choose to take the AP Chemistry course.
Biology
Students may choose to take the AP Biology course.
Physics
Students may choose to take one or more AP Physics courses.
Environmental Science
Students may choose to take the AP Environmental Science course.
Social Studies
World Geography
Students may choose to take the AP Human Geography course.
World History 1
Students may choose to take the AP World History course.
Economics
Students may choose to take the AP Microeconomics course or the AP Macroeconomics course. Or, they may choose to take both economics courses if they are pursuing a business or commerce related career path.
