# Math Courses

**Algebra I:**

COURSE DESCRIPTION: In Algebra I, students begin to study number properties more generally and become fluent at manipulating symbols with multiple step methods. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Algebra I includes Properties of Rational and Irrational Numbers, Creating and Interpreting Expressions and Equations, Linear Equations and Inequalities, including Linear Systems, Solving Quadratic Equations using Multiple Methods, Interpreting and Building Functions using Proper Function Notation, and Summarizing, Representing, and Interpreting Data.

**Honors IB MYP Algebra I:**

COURSE DESCRIPTION: The International Baccalaureate Middle Years Programme (MYP) is a philosophy of teaching and an approach to instruction. Students in the MYP explore significant content, develop skills, and deepen conceptual understanding through their engagement with global contexts. Teachers will plan using the MYP objectives and assess using the MYP criteria. In Algebra I, students begin to study number properties more generally and become fluent at manipulating symbols with multiple step methods. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Algebra I includes Properties of Rational and Irrational Numbers, Creating and Interpreting Expressions and Equations, Linear Equations and Inequalities, including Linear Systems, Solving Quadratic Equations using Multiple Methods, Interpreting and Building Functions using Proper Function Notation, and Summarizing, Representing, and Interpreting Data. In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies.

**Math Lab I:**

COURSE DESCRIPTION: Math Lab 1 is a tutorial class that supports students with their mathematics learning. Students will receive tutoring that builds mathematical skills, supports the content in their core math classes, and covers content directly aligned to Illinois state standardized. Each student works with a full-time tutor along with 1-2 peers in the same math class. The tutor has a college degree and is skilled in mathematics. The tutor spends time addressing individual student needs and reviews concepts that the student may not have previously mastered. This helps students feel more prepared for and exceed in the math classes needed for graduation. In addition, the course will help students build confidence with standardized math test content by exposing them to practice test situations, reviewing test-type questions, and helping students utilize test taking strategies.

**Geometry:**

COURSE DESCRIPTION: In Geometry, students will reason inductively to construct geometric patterns, discover geometric relationships and formulate conjectures. Students will reason deductively to construct logical arguments and proofs using appropriate terminology. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Geometry includes Similarity and Congruence, Transformational Geometry, Right Triangles, Geometric Constructions and Proofs, Measurement and Dimension, Modeling, Coordinate Geometry, and Circles.

**Honors Geometry:**

COURSE DESCRIPTION: In Honors Geometry, students will reason inductively to construct geometric patterns, discover geometric relationships and formulate conjectures. Students will reason deductively to construct logical arguments and proofs using appropriate terminology. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Geometry includes Similarity and Congruence, Transformational Geometry, Right Triangles, Geometric Constructions and Proofs, Measurement and Dimension, Modeling, Coordinate Geometry, and Circles. In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies. Successful completion of Geometry H will prepare students for future honors and AP coursework in mathematics.

**Honors IB MYP Geometry:**

COURSE DESCRIPTION: The International Baccalaureate Middle Years Programme (MYP) is a philosophy of teaching and an approach to instruction. Students in the MYP explore significant content, develop skills, and deepen conceptual understanding through their engagement with global contexts. Teachers will plan using the MYP objectives and assess using the MYP criteria. In Geometry, students will reason inductively to construct geometric patterns, discover geometric relationships and formulate conjectures. Students will reason deductively to construct logical arguments and proofs using appropriate terminology. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Geometry includes Similarity and Congruence, Transformational Geometry, Right Triangles, Geometric Constructions and Proofs, Measurement and Dimension, Modeling, Coordinate Geometry, and Circles. In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies.

**Math Lab II:**

COURSE DESCRIPTION: The Math Lab course aligns with Common Core State Standards in Math because it directly supports the regular math classes (algebra, geometry, algebra 2) being offered in each school. The high school common core state standards for math are centered around the following major concepts: Number and Quantity, Algebra, Functions, Modeling, Geometry, and Statistics & Probability. Math Lab will cover these standards with every student throughout the year.

**Advanced Algebra with Trigonometry:**

COURSE DESCRIPTION: In Advanced Algebra with Trigonometry, students will extend their knowledge of functions to create and apply mathematical models to represent and interpret real-world contexts. The development and comparison of multiple solution methods and mathematical representations builds a level of fluency and conceptual understanding essential for the study of more advanced mathematics. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Algebra II includes Non-linear Relationships and Functions, Solving Complex Equations using Multiple Methods, Interpreting, Building, and Modeling with Functions, Making Inferences and Conclusions from Data, and Probability.

**Honors Advanced Algebra with Trigonometry:**

COURSE DESCRIPTION: In Honors Advanced Algebra with Trigonometry, students will extend their knowledge of functions to create and apply mathematical models to represent and interpret real-world contexts. The development and comparison of multiple solution methods and mathematical representations builds a level of fluency and conceptual understanding essential for the study of more advanced mathematics. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Algebra II includes Non-linear Relationships and Functions, Solving Complex Equations using Multiple Methods, Interpreting, Building, and Modeling with Functions, Making Inferences and Conclusions from Data, and Probability. In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies. Successful completion of Algebra II will prepare students for future honors and AP coursework in mathematics.

**Honors Pre-Calculus:**

COURSE DESCRIPTION: In Pre-Calculus, students will study advanced concepts in preparation for Calculus and/or other college level mathematics courses. Students should leave the course fluent in the manipulation of complex equations, understanding of mathematical relationships, and the ability to communicate and justify their thinking. All students should regularly be engaged in the Standards for Mathematical Practice as defined by the Common Core. Mathematical content should be addressed through the study of big ideas allowing students to see the connections between multiple concepts. The mathematical content of Pre-Calculus includes Operations with Complex Numbers, Vectors and Matrices, Inverse Functions, Composition of Functions, Trigonometric Functions and Identities, and Probability. In an honors class, students will be expected to develop more advanced problem-solving methods and precisely communicate their in-depth understanding of the mathematical concepts covered. Students will also be asked to make connections across mathematical ideas while justifying their thinking and strategies. Successful completion of Pre-Calculus H will prepare students for future AP or college level coursework in mathematics.

**Financial Algebra:**

COURSE DESCRIPTION: Mathematics plays a fundamental role in today’s world, including our complex financial environment. Using practical business problems and real-world personal financial issues, this course will explore areas of mathematics that help us understand, predict, and control our financial world. Topics may include: investments, the stock market, business planning, banking, consumer credit, insurance, taxation, student loans, home buying versus renting, budgeting and retirement planning. Students will explore and master mathematical concepts and skills such as data analysis (scatter plots, averages, frequency distributions); fitting data to equations; linear, quadratic, exponential, and piecewise models; interest formulas (simple, compound, and continuous); and present and future value.

**Dual Credit Pre-Calculus 143:**

COURSE DESCRIPTION: Pre-calculus Emphasizes the notion of a function as a unifying concept for the topics of college algebra and trigonometry. Families of functions and their characteristics include: polynomial functions; rational functions; exponential and logarithmic functions; and trigonometric functions; and applications involving problem-solving skills. Writing assignments, as appropriate to the discipline, are part of the course. Prerequisite: ACT Math > = 21 or COMPASS Placement Test Score range within PRE-ALGEBRA (17-99) AND ALGEBRA (43-99) and College ALGEBRA (1-50).

**Dual Credit Calculus:**

COURSE DESCRIPTION: DC Calculus is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The courses emphasize a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important.

**IB SL Math Applications and Interpretation I and II:**

COURSE DESCRIPTION: The course concentrates on mathematics that can be applied to contexts related as far as possible to other subjects being studied, to common real-world occurrences and to topics that relate to home, work and leisure situations.This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modeling. To give this understanding a firm base, this course includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics. Students are encouraged to solve real-world problems, construct and communicate this mathematically and interpret the conclusions or generalizations. Students should expect to develop strong technology skills, and will be intellectually equipped to appreciate the links between the theoretical and the practical concepts in mathematics. All external assessments involve the use of technology. Students are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments.