## Mathematics

## Algebra I (Regular & Honors)/ 9th Grade

2 semesters,1 credit total

No prerequisites

COURSE DESCRIPTION

Algebra I is a gateway course for higher level mathematics courses. It is crucial for most jobs and further study in many different disciplines. In Algebra I, student 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. Successful completion of Algebra I H will prepare students for future honors and AP coursework in mathematics.

Algebra I is a gateway course for higher level mathematics courses. It is crucial for most jobs and further study in many different disciplines. In Algebra I, student 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. Successful completion of Algebra I H will prepare students for future honors and AP coursework in mathematics.

## Advanced Algebra with Trigonometry/ 11th grade

2 Semesters, 1 credit total

Prerequisites: Algebra 1

COURSE DESCRIPTION

The purpose of this Advanced Algebra course is to increase the students’ knowledge and application of mathematical ideas. While taking this course, students will review Algebra 1 concepts and learn how to apply these concepts in more complex situations. Students will discover new types of functions, such as logarithmic or periodic functions.

The objectives of this class are in line with the Illinois State Board of Education, the ACT College Readiness Standards and Common Core State Standards. Additional information about this can be found at: http://www.isbe.state.il.us/ils/ and is also available upon request. The College Readiness Standards that will be address are aligned with topics covered in on the ACT. Information on the standards can be found at: http://www.act.org/standard/planact/math/index.html. As the state and the district attempt to increase rigor, the Al Raby math department is incorporating and transitioning to common core state standards. We will use both content standards as well as the practice standards. The CCSS standards can be found at: http://www.corestandards.org/the-standards/mathematics/

The purpose of this Advanced Algebra course is to increase the students’ knowledge and application of mathematical ideas. While taking this course, students will review Algebra 1 concepts and learn how to apply these concepts in more complex situations. Students will discover new types of functions, such as logarithmic or periodic functions.

The objectives of this class are in line with the Illinois State Board of Education, the ACT College Readiness Standards and Common Core State Standards. Additional information about this can be found at: http://www.isbe.state.il.us/ils/ and is also available upon request. The College Readiness Standards that will be address are aligned with topics covered in on the ACT. Information on the standards can be found at: http://www.act.org/standard/planact/math/index.html. As the state and the district attempt to increase rigor, the Al Raby math department is incorporating and transitioning to common core state standards. We will use both content standards as well as the practice standards. The CCSS standards can be found at: http://www.corestandards.org/the-standards/mathematics/

## Geometry (Regular & Honors)/ 10th Grade

2 Semesters, 1 credit total

Prerequisites: Algebra 1

COURSE DESCRIPTION

The purpose of the Geometry course is to increase students’ knowledge of mathematical ideas through the concept of describing objects and their orientation to each other. This course will examine the mathematical study of the properties of points, lines, planes, polygons, circles, solids, and other geometric shapes.

Students will be introduced to geometric definitions, postulates, and theorems as well as learn how to justify mathematical conjectures and measure geometric objects.

The purpose of the Geometry course is to increase students’ knowledge of mathematical ideas through the concept of describing objects and their orientation to each other. This course will examine the mathematical study of the properties of points, lines, planes, polygons, circles, solids, and other geometric shapes.

Students will be introduced to geometric definitions, postulates, and theorems as well as learn how to justify mathematical conjectures and measure geometric objects.

## Precalculus/ 11th Grade

2 Semesters, 1 credit total

Prerequisites: Advanced Algebra/ Trig

COURSE DESCRIPTION

Precalculus combines the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus, and strengthens students’ conceptual understanding of problems and mathematical reasoning in solving problems. Facility with these topics is especially important for students intending to study calculus, physics, and other sciences, and/or engineering in college.

For this Precalculus course, instructional time will focus on four critical areas: (1) extend work with complex numbers; (2) expand understanding of logarithms and exponential functions; (3) use characteristics of polynomial and rational functions to sketch graphs of those functions; and (4) perform operations with vectors.

Precalculus combines the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus, and strengthens students’ conceptual understanding of problems and mathematical reasoning in solving problems. Facility with these topics is especially important for students intending to study calculus, physics, and other sciences, and/or engineering in college.

For this Precalculus course, instructional time will focus on four critical areas: (1) extend work with complex numbers; (2) expand understanding of logarithms and exponential functions; (3) use characteristics of polynomial and rational functions to sketch graphs of those functions; and (4) perform operations with vectors.

## Probability and Statistics/ 12th Grade

2 Semesters, 1 credit total

Prerequisites: Algebra

COURSE DESCRIPTION

The purpose of the Probability and Statistics Curriculum is to encourage student awareness of the importance of mathematics in the modern world. This course is an introduction to the study of probability, interpretation of data, and fundamental statistical problem solving. The course will cover basic statistical concepts that will prepare the student to take a college-level statistics course in the future. Students will explore and analyze data by observing patterns or the absence of patterns, interpret information from graphical and tabular displays, apply appropriate statistical models to infer information from data, and learn to use technology in solving statistical problems.

The purpose of the Probability and Statistics Curriculum is to encourage student awareness of the importance of mathematics in the modern world. This course is an introduction to the study of probability, interpretation of data, and fundamental statistical problem solving. The course will cover basic statistical concepts that will prepare the student to take a college-level statistics course in the future. Students will explore and analyze data by observing patterns or the absence of patterns, interpret information from graphical and tabular displays, apply appropriate statistical models to infer information from data, and learn to use technology in solving statistical problems.

## AP Calculus/ 12th Grade

2 Semesters, 1 credit total

Prerequisites: Precalculus

COURSE DESCRIPTION

AP Calculus is designed as a college level course. Many new topics and aspects of previously explored topics will be covered in this course. It is crucial that students take notes, ask questions and participate regularly in discussions.

While in class students will have many opportunities to work in groups, ask critical questions and present material that they have discovered. Students will be encouraged to contribute daily in class. Participation helps instill and reiterate the knowledge and material presented. Often students will be assigned to groups in class; they will also be encouraged to form study groups outside of the classroom.

Testing and evaluation are an integral part of class as we work toward passing the AP exam. Because the test has a calculator and non-calculator portion, as well as short answer questions, students will be quizzed and assessed in a similar manner – both traditional multiple choice as well as rigorous short answer questions. Student will be asked to solve problems algebraically, look at data and explain patterns and attributes draw and interpret graphs and verbally explain various processes and problems.

AP Calculus is designed as a college level course. Many new topics and aspects of previously explored topics will be covered in this course. It is crucial that students take notes, ask questions and participate regularly in discussions.

While in class students will have many opportunities to work in groups, ask critical questions and present material that they have discovered. Students will be encouraged to contribute daily in class. Participation helps instill and reiterate the knowledge and material presented. Often students will be assigned to groups in class; they will also be encouraged to form study groups outside of the classroom.

Testing and evaluation are an integral part of class as we work toward passing the AP exam. Because the test has a calculator and non-calculator portion, as well as short answer questions, students will be quizzed and assessed in a similar manner – both traditional multiple choice as well as rigorous short answer questions. Student will be asked to solve problems algebraically, look at data and explain patterns and attributes draw and interpret graphs and verbally explain various processes and problems.