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math

Math

swirls

 

Core Math Courses & Suggested Progression

Click to Learn About Mathematics Curriculum Tracks

 

Academic

College-Prep

Honors

9th

10th

11th

12th

 

Math Graduation
Requirement:

3 consecutive
credits

Including 1 credit of Algebra 1 and
completion of the Algebra Keystone Exam

½ credit (grades 11-12)

1 credit (grades 11-12)

 

 

core               

 


Pre-Algebra

 

math

Pre-Algebra will prepare students for success in Algebra 1.  This course will develop concepts aligned to the PA Mathematics Anchors and Eligible Content for eighth grade as well as the 8th grade PA Standards.  Content includes variables; expressions; integers; equations; multi-step equations; inequalities; fractions; exponents; rational numbers and equations; ratio; proportion; probability; percents; linear functions; real numbers; measurement; area, volume and surface area; data analysis; and angle relationships and transformations.

 

Students will be expected to complete 4-5 assignments per week.  Upon completion of this course students will be ready for Algebra 1. 

 

Materials:

Holt: Pre-Algebra

Home Facilitator Involvement Level: 3 (click here for levels) Assistance is required for 30-70% of schoolwork.

Difficulty: On-Level

Prerequisites: Middle School Mathematics

Grades Offered: 9

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Algebra 1

 

math

This course is designed for the student without strong mathematical skills. Content will include real numbers, linear equations and inequalities, linear functions and their graphs, systems of linear equations and inequalities (limited to two variables) and an introduction to polynomials. The course is aligned to Assessment Anchors and Eligible Content, PA Standards, and Algebra 1 Keystone Anchors.  Students will have the opportunity to explore functions with the graphing calculator.

 

Students will be expected to complete five assignments per week. Upon completion of the course the student will be ready for Geometry.

 

Materials:

Holt: Algebra I

Home Facilitator Involvement Level: 3 (click here for levels) Assistance is required for 30-70% of schoolwork.

Difficulty: On-Level

Prerequisites: Pre-Algebra

Grades Offered: 9-10

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College-Prep Algebra 1

 

math

This course is designed for the academic level student, and is aligned to Assessment Anchors and Eligible Content, PA Standards, and the Algebra 1 Keystone Anchors.  Content will include real numbers, linear equations and inequalities, linear functions and their graphs, systems of linear equations and inequalities (limited to two variables) and an introduction to polynomials.  Students will have the opportunity to explore functions with the graphing calculator.

 

Students will be expected to complete five assignments per week.  Upon completion of the course the student will be ready for College-Prep Geometry. 

 

Materials:

Holt: Algebra I

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: On-Level

Prerequisites: 70% or higher in Pre-Algebra

Grades Offered: 9

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Honors Algebra 1

 

math

This course is designed for the advanced level student in a college preparatory program. This course is an accelerated algebra curriculum with more challenging problems. The course is aligned to Assessment Anchors and Eligible Content, PA Standards, and the Algebra 1 Keystone Anchors.

 

Content will include real numbers, linear equations and inequalities, linear functions and their graphs, systems of linear equations and inequalities (limited to two variables) and an introduction to polynomials. Students will have the opportunity to explore functions with the graphing calculator. Application problems, modeling and project-based learning assignments will be required. Students will be expected to complete five assignments per week.  Upon completion of the course the student will be ready for Honors Geometry.

 

Materials:

Holt: Algebra I

Additional Teacher Developed Materials

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: Advanced

Prerequisites: 85% or higher in Pre-Algebra or Teacher Recommendation

Grades Offered: 9

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Geometry

 

math

This course is designed for the student without strong mathematical skills.  The course is aligned to the Assessment Anchors and Eligible Content, PA Standards, and the Geometry Keystone Anchors. Topics include distance and midpoint formula, geometric reasoning and proofs, angles formed by parallel line and transversals, triangle congruence, properties of triangles, special right triangles, Pythagorean Theorems, polygons and quadrilaterals, similarity in polygons, introduction to trigonometry, perimeter, circumference area, geometric probability, surface area and volume of 3-D figures, and properties of circles.  Students will use Geometer’s Sketchpad and the TI-83+ calculator.

 

Students will be expected to complete five assignments per week.  Upon completion of the course students will be ready for Intermediate Algebra or Algebra 2. 

 

Materials:

Holt: Geometry

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: On-Level

Prerequisites: Algebra I

Grades Offered: 10-11

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College-Prep Geometry

 

math

This course is designed for the academic level student, and is aligned to Assessment Anchors and Eligible Content, PA Standards, and the Geometry Keystone Anchors.  Topics include distance and midpoint formula, geometric reasoning and proofs, angles formed by parallel line and transversals, triangle congruence, properties of triangles, special right triangles, Pythagorean Theorems, polygons and quadrilaterals, similarity in polygons, introduction to trigonometry, perimeter, circumference area, geometric probability, surface area and volume of 3-D figures, and properties of circles.  Students will use Geometer’s Sketchpad in the course and a TI-83+ calculator. 

 

Students will be expected to complete five assignments per week.  Upon completion of the course students will be ready for Algebra 2. 

 

Materials:

Holt: Geometry

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: On-Level

Prerequisites: 70% or higher in College-Prep Algebra I

Grades Offered: 10

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Honors Geometry

 

math

This course is designed for the advanced level student in a college preparatory program. It is a rigorous, logical development of the deductive system of reasoning. Emphasis is on the development of logic, formal proofs, and algebraic applications to geometry. The course is aligned to the Assessment Anchors and Eligible Content, PA Standards, and the Geometry Keystone Anchors.


Topics include distance and midpoint formula, geometric reasoning and proofs, angles formed by parallel line and transversals, triangle congruence, properties of triangles, special right triangles, Pythagorean Theorems, polygons and quadrilaterals, similarity in polygons, introduction to trigonometry, perimeter, circumference area, geometric probability, surface area and volume of 3-D figures, and properties of circles. Students will use Geometer’s Sketchpad in the course. Application problems, modeling and project-based learning assignments will be required.  Students will be expected to complete five assignments per week.  Upon completion of the course students will be ready for Honors Algebra 2.

 

Materials:

Holt: Geometry

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: Advanced

Prerequisites: 85% or higher in College-Prep Algebra I or Teacher Recommendation

Grades Offered: 9-10

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Intermediate Algebra

 

math

This course is designed for students who have passed and received credit for Algebra I and Geometry, but have not mastered the mathematical concepts sufficiently to move to Algebra 2. Intermediate Algebra will review the topics covered in Algebra I and Geometry, and work on building mathematical skills. Textbook based lessons will be supplemented with teacher created materials with an emphasis on problem solving.  This course is aligned to Assessment Anchors and Eligible Content and PA Standards. Students will be expected to complete 4-5 assignments per week.
            
Upon completion of this course students will be ready for Algebra 2, Consumer Math, or a math elective.

 

Materials:

Holt McDougal: Algebra 2 Concepts and Stragegies

 

Home Facilitator Involvement Level: 3 (click here for levels) Assistance is required for 30-70% of schoolwork.

Difficulty: On-Level

Grades Offered: 10-12

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College-Prep Algebra 2

 

math

This course is designed for the academic level student, and is aligned to Assessment Anchors and Eligible Content, PA Standards, and the Algebra 2 Keystone Anchors.  Topics include absolute value, compound inequalities, linear functions, rational exponents, families of quadratic functions, polynomial functions and operations, radical expressions, sequence, measures of central tendency, permutation and combinations, probability and odds, tables and graphs, matrix operations, direct and inverse variation, complex numbers and real world applications. 

 

Students will be expected to complete 4-5 assignments per week.  Upon completion of this course the student will be ready for Pre-Calculus. 

 

Materials:

Holt McDougal: Algebra 2

Additional Teacher Developed Materials

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: On-Level

Prerequisites: 70% or higher in College-Prep Geometry or Teacher Recommendation

Grades Offered: 11

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Honors Algebra 2

 

math

This second-year algebra course is designed for the advanced level student who desires a more rigorous course of study.  The course is aligned to the PA State Standards, PA Assessment Anchors and the Algebra 2 Keystone Anchors.  Students will develop a more in-depth study of the concept of numbers from arithmetic to the notion of discrete mathematics. The use of graphing calculators is an integral part of this course. Students will be expected to complete 4-5 assignments per week.  Topics include absolute value, compound inequalities, linear functions, rational exponents, families of quadratic functions, polynomial functions and operations, radical expressions, sequences, measure of central tendency, permutation and combinations, probability and odds, tables and graphs, matrix operations, direct and inverse variation, complex numbers and real world applications. Upon completion of this course the student will be ready for Pre-Calculus.  

 

Materials:

Holt McDougal: Algebra 2

Additional Teacher Developed Materials

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: Advanced

Prerequisites: 85% or higher in College-Prep Geometry or successful completion of Honors Geometry

Grades Offered: 10-11

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Pre-Calculus

 

math

This course is designed for the college bound student who plans to study calculus in high school or college. The course is aligned to the Pennsylvania Standards and Assessment Anchors and eligible content. Topics include Algebra 2 Review, concepts in trigonometry, trigonometric functions, parametric functions, exponential and logistics functions, polynomial functions, and solving equations and inequalities. Students will be expected to complete 3-4 assignments per week. Upon completion of this course the student will be prepared for the study of Calculus.

 

Materials:

Brooks/Cole: Calculus I with Pre-Calculus

 

Home Facilitator Involvement Level: 1 (click here for levels) Assistance is required for 1-10% of schoolwork.

Difficulty: On-Level

Prerequisites: 85% or higher in Algebra 2

Grades Offered: 11-12

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Survey of Calculus

 

math

This course is designed for the college bound student who wishes to continue the study of calculus in college. This is a college level preparatory class; not an Advanced Placement class. The course is aligned to the Pennsylvania State Standards and Assessment Anchors and eligible content. Topics include functions and their graphs, limits, derivatives, integration and other introductory calculus concepts. The TI 83+ calculator is provided. Students will be expected to complete 4-5 assignments per week. Upon completion of this course the student will be prepared for a first college level calculus course or AP Calculus.

 

Materials:

Brooks/Cole: Calculus I with Pre-Calculus

TI-83+ Graphing Calculator

 

Home Facilitator Involvement Level: 1 (click here for levels) Assistance is required for 1-10% of schoolwork.

Difficulty: On-Level

Prerequisites: 85% or higher in Pre-Calculus

Grades Offered: 11-12

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AP Calculus AB

 

math

This synchronous course is designed for the advanced college bound student.  In this course students will prepare for the College Board AP Calculus AB exam by exploring topics including limits, differentiation, integration, logarithmic and exponential functions, differential equations, and applications of integration and differentiation.  Students should expect to spend sixty to ninety minutes each school day working on the material presented during the synchronous chat due to the intensity of the content and assignments. Student understanding will be extended through discovery and the use of technology.  The course emphasizes a multi-representational approach to calculus—with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally.

 

Students will be expected to complete 3-4 assignments per week and attend ALL chats. Students in synchronous courses are held to high expectations and will be given late penalties for late work. Upon completion of the course the student will be ready to take the AP Calculus AB exam.  A score of 3 or higher on the AP exam could lead to earning college credit.

 

Materials:

Brooks/Cole: Calculus (AP Edition), 6th Edition

TI-83+ Graphing Calculator

 

Home Facilitator Involvement Level: 1 (click here for levels) Assistance is required for 1-10% of schoolwork.

Difficulty: On-Level

Prerequisites: 85% or higher in Pre-Calculus

Grades Offered: 11-12

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electives               

 

 


Trigonometry

½ credit - Fall/Spring

math

Trigonometry is designed as a semester course. It begins by revisiting the basic concepts of trigonometry learned in Geometry. As the course continues, topics include: trigonometric identities, polar coordinates, vectors, complex numbers, and approximate values. Graphing calculators are used throughout the course as a tool for better understanding. The instructional design is based on state standards and research stemming from the National Mathematics Advisory Panel’s Final Report. This course includes scaffolding in the form of animation, feedback, hints and a glossary. Embedded critical mistakes and common misconceptions guidance lead students to understand the reasoning behind correct and incorrect responses. There is also an emphasis on repetition and practice. Projects, located on the Resource page, can be completed offline and help students move into higher-level thinking based on Bloom’s Taxonomy.

 

Materials:

Teacher Developed

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: On-Level

Prerequisites: Algebra 1 and Geometry

Grades Offered: 11-12

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Statistics

½ credit - Fall

math

This half credit elective course will study the collection, tabulation, analysis and reliability of data generated from surveys, polls, market research and standardized testing.  Topics include data collection, measures of central tendency, survey design and trends in data analysis.  Students will use Fathom to record, tabulate and analyze data. This course is suitable for the student who desires additional courses in mathematics but does not need or want Pre-Calculus or Calculus.  This course is offered in the fall only.  Students will be expected to complete 4-5 assignments per week.

 

Materials:

Houghton Mifflin:  Understandable Statistics

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: On-Level

Prerequisites: 85% or higher in Algebra 2

Grades Offered: 11-12

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Probability

½ credit - Spring

math

This half credit elective course allows students to study probability in depth.  Topics include probability theory, permutations, combinations, distributions, random numbers, odds and elementary concepts of discrete probability functions. Students will use Fathom to simulate outcomes given different input conditions. This course is suitable for the student who desires additional courses in mathematics but does not need or want Pre-Calculus or Calculus.  This course is offered in the spring only.  Students will be expected to complete 4-5 assignments per week.

 

Materials:

Houghton Mifflin:  Understandable Statistics

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: On-Level

Prerequisites: 85% or higher in Algebra 2

Grades Offered: 11-12

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Consumer Mathematics

 

math

This course is designed for 11th and 12th grade students who have passed and received credit for Algebra 1 and Geometry, but have not mastered the mathematical concepts sufficiently to move to Algebra 2.  Consumer Mathematics is designed to develop and reinforce the applications of mathematics necessary for every day life.  Students will investigate topics that include income, recordkeeping, checking and savings accounts, loans, housing costs, insurance, and investments.  The goal of this class is to give students the background and problem solving skills to make good financial decisions.

 

Materials:

Glencoe: Mathematics for Business and Personal Finance

 

Home Facilitator Involvement Level: 2 (click here for levels) Assistance is required for 10-30% of schoolwork.

Difficulty: On-Level

Grades Offered: 11-12

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