## Mathematics

The Mathematics Department curriculum challenges and supports the student to recognize, appreciate and use the science of mathematics as a base for ongoing relationships with society and God. The mathematics curriculum adheres to the standards established by the Archdiocese of Philadelphia and are aligned with state and national standards of mathematics. Three secondary level math courses are required. A math elective in the senior year is strongly recommended.

**The Texas Instrument (TI-83 + or TI-84) graphing calculator is required for all students.**

Placement for 9th grade courses is determined by 7th & 8th grade marks and standardized test scores. Tracking for 10th through 12th is based on proficiency in current math course, teacher recommendation and standardized test scores.

### PARLO

The PARLO project, **P**roficiency-based **A**ssessment and **R**eassessment of **L**earning **O**utcomes is a learning and assessment system that emphasizes students attaining “proficiency or better” on a limited set of high value learning outcomes as defined by teachers in the mathematics department. The study involves most 9th grade math courses. PARLO does not replace Algebra or Pre-Algebra.

In this new classroom dynamic, students will assume more responsibility for and be active agents in their own learning. Teachers adopt instructional strategies and techniques that support their students’ ongoing and continuous learning, including defining learning outcomes and providing frequent and individualized feedback.

When a level of proficiency (or high performance) is not yet attained, remediation is provided in different forms with the expectation that students resubmit pieces of evidence and reassess until they achieve proficiency or high performance.

- Evaluation of coursework consists of three levels:
- P – proficient when she grasps the major concepts;
- N – not yet proficient when she demonstrates minimal understanding; and
- H – high performance when she demonstrates advanced understand ing.

An algorithm is designed to translate these proficiency ratings into a numerical grade for report cards. Grades reflect a progression of attained skills not an average value.

### Course Listing and DIOCESAN CORE CURRICULUM:

Based on the Common Core Standards, students enrolled in Algebra I will examine structure in equations, and will create equations that describe numbers or relationships. Students will reason with equations and inequalities abstractly and quantitatively, will solve systems of equations and will represent and solve equations and inequalities graphically. Students will construct viable arguments for their reasoning and critique the reasoning of others.

Based on the Common Core Standards, students enrolled in Algebra II will interpret and build functions, will perform arithmetic with polynomials and rational functions, will analyze functions using various representations and will construct and compare linear and exponential models and solve problems. Students will reason abstractly and quantitatively, will construct viable arguments and critique reasoning of others and will use appropriate tools of mathematics strategically.

Based on the Common Core Standards, students enrolled in Geometry will experiment with transformations in the plane, will prove geometric theorems and will make geometric constructions. Students will understand similarity, right triangles and trigonometric ratios. Students will understand and apply theorems about circles, will express geometric properties with equations, and will use geometric measurement and dimension to solve problems. Students will reason abstractly and quantitatively and will construct viable arguments and critique the reasoning of others.

**The track 1 Honors Program** is designed to challenge the highly motivated and/or advanced math student. The four year program culminates with the study of Advance Placement Calculus. Students entering with an accredited Honors Algebra I score are placed in Honors Geometry. Traditional students will study Algebra I in 9th grade while Geometry and Algebra II are studied concurrently in the second year.

#### 311 HONORS ALGEBRA

Gr: 9 Trk: 1 Cr: 1

#### 321 HONORS GEOMETRY

Gr: 9, 10 Trk: 1 Cr: 1

#### 320 HONORS ALGEBRA II

Gr: 10 Trk: 1 Cr: 1

#### 330 HONORS PRE-CALCULUS

Gr: 11 Trk: 1 Cr: 1

This course is designed to prepare the student for Calculus. It includes the continued study of polynomial, rational, exponential and logarithmic functions and their graphs, analytic geometry, trigonometry, techniques of equation solving, sequences and series and probability with statistics. An analytical and graphical approach is taken with an emphasis on problem solving and incorporation of the graphing calculator.

Prerequisite: Honors Algebra 2/Trigonometry

**The courses in track 2** are designed for students who have demonstrated average to above average mathematical skills. Students who achieve high performance levels in Algebra 1 in multiple Learning Outcomes may be invited to participate in the Honors Math Program in the sophomore year.

#### 312 ALGEBRA I

Gr: 9 Trk: 2 Cr: 1

#### 322 GEOMETRY

- Gr: 10, 11 Trk: 2 Cr: 1

#### 332 ALGEBRA II

Gr: 11, 12 Trk: 2 Cr: 1

**The courses in track 3 **are designed for the learner with average to low average achievement in mathematics. Incorporated into the Learning Outcomes is a Pre-Algebra component to reinforce learned skills. Students who achieve high performance levels in Algebra I in multiple Learning Outcomes may be advanced to track 2 Geometry.

#### 313 ALGEBRA I

Gr: 9 Trk: 3 Cr: 1

#### 323 GEOMETRY

- Gr: 10,11 Trk: 3 Cr: 1

#### 333 ALGEBRA II

- Gr: 11, 12 Trk: 3 Cr: 1

#### 342 PRE-CALCULUS/TRIGONOMETRY

Gr: 12 Trk: 2 Cr: 1

The course is designed to prepare the college-bound student for the rigor of post secondary mathematics. Topics include manipulation and solutions of polynomial, absolute value, piece-wise, rational, trigonometric, exponential and logarithmic functions. Emphasis is given to triangular and circular trigonometry with applications in the second semester. Graphing calculators are an integral part of the class work.

Prerequisites: Algebra 1, Geometry, Algebra 2 (Track 1 or 2)

#### 343 ALGEBRA III/TRIGONOMETRY

Gr: 12 Trk: 3 Cr: 1

The course complements topics introduced in Algebra 2 with an emphasis on polynomial, rational, radical functions and graphs. Data analysis, matrices, conic sections, exponents, logarithms and an introduction to circular and right triangle trigonometry complete the course work. Graphing calculators are an integral part of the class work.

#### 345 Advanced Placement Calculus AB

Gr: 12 Trk: 5 Cr: 1

This course adheres to the College Board guidelines for the Calculus AB level and culminates in the student’s taking the AB level Advanced Placement Calculus Exam for college credit in May. The course includes the study of limits and continuity, differentiation and its applications, slope fields, maxima and minima, and integration with applications. Graphing calculators are an integral part of the class work. Students are required to take the AP Calculus test at the completion of the course.

Prerequisite: Honors Pre-Calculus and recommendation of the Pre-Calculus teacher.