Academics » Mathematics

Mathematics

MATHEMATICS DEPARTMENT MISSION STATEMENT
At Back of the Yards College Preparatory High School, our mathematical mission is to provide a safe and supportive environment where students can develop as critical thinkers and logical problem solvers. Through investigations and rigorous applications, students will become adept communicators and collaborators as they learn to appreciate the power and elegance of mathematics. We strive to provide graduates with command of the content, financial literacy, and robust mathematical tools to be competent, contributing members of our global society.
 
Mathematics Transfer Goals
Students will be able to independently use their learning to:
  1. Interpret and persevere in solving complex mathematical problems using strategic thinking and expressing answers with a degree of precision appropriate for the problem context.
  2. Express appropriate mathematical reasoning by constructing viable arguments, critiquing the reasoning of others, and attending to precision when making mathematical statements.
  3. Apply mathematical knowledge and appropriate tools to analyze and model mathematical relationships in the context of a situation in order to make decisions, draw conclusions, and solve problems.
MATHEMATICS DEPARTMENT COURSES
 
9TH GRADE MATHEMATICS COURSES

Integrated Mathematics I
In Mathematics I, students begin to formalize their learning from the middle grades to make connections across mathematical concepts. Students study both algebraic and geometric patterns to discover relationships and justify their reasoning. 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 Mathematics I includes Creating and Interpreting Expressions and Equations, Linear Equations and Inequalities, including Linear Systems, Interpreting and Building Functions using Proper Function Notation, Summarizing, Representing, and Interpreting Data, Congruence, Transformational Geometry, and Geometric Proofs.
 
Honors Integrated Mathematics I
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 Mathematics I H will prepare students for future honors and DP/AP coursework in mathematics.
 
10TH GRADE MATHEMATICS COURSES
Integrated Mathematics II
In Mathematics II, students extend their learning of algebraic and geometric concepts to include more complex ideas that include both inductive and deductive reasoning processes. 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 Mathematics II includes Properties of Rational and Irrational Numbers, Solving Quadratic Equations using Multiple Methods, Similarity, Right Triangles, Geometric Proofs, Measurement and Dimension, and Probability.
 
Honors Integrated Mathematics II
In Mathematics II, students extend their learning of algebraic and geometric concepts to include more complex ideas that include both inductive and deductive reasoning processes. 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 Mathematics II includes Properties of Rational and Irrational Numbers, Solving Quadratic Equations using Multiple Methods, Similarity, Right Triangles, Geometric Proofs, Measurement and Dimension, 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 Mathematics II H will prepare students for future honors and DP/AP coursework in mathematics
 
 
11TH and 12TH GRADE MATHEMATICS COURSE OPTIONS
 
DP SL Mathematics Analysis & Approaches
New course! Description coming soon.

DP SL Mathematics Applications & Interpretation
New course! Description coming soon.

Integrated Mathematics III
In Mathematics III, students will create and apply mathematical models in order 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 Mathematics III includes Non-linear Relationships, Solving Complex Equations, Interpreting, Building, and Modeling with Functions, Making Inferences and Conclusions from Data, Geometric Constructions, Modeling with Geometry, Coordinate Geometry, and Circles.
 
Honors Integrated Mathematics III
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 Mathematics III H will prepare students for future honors and AP coursework in mathematics.

AP Calculus AB
Calculus AB and Calculus BC are primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The courses emphasize a multirepresentational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The connections among these representations also are important.

PreCalculus
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.
 
Honors PreCalculus
In addition to above description: 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.

Integrated Mathematics IV
In Mathematics IV, students will emphasize the connections between algebra, geometry and statistics using a problem centered approach. 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 Mathematics IV includes operations with complex numbers, vectors and matrices, inverse functions, composition of functions, trigonometric functions and identities and probability.