PA Leadership Charter School 2011-2012 Course Descriptions : Mathematics
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 MATHEMATICS 

Mathematics Graduation Requirements: 3 consecutive credits

(click for complete graduation requirements)

 


 

Grade 9:
Pre-Algebra Concepts and Strategies
Algebra 1 Concepts and Strategies
Algebra 1

Honors Algebra 1
Geometry

Honors Geometry


Grade 10:
Algebra 1 Concepts and Strategies
Algebra 1

Honors Algebra 1
Geometry Concepts and Strategies
Geometry

Honors Geometry
Intermediate Algebra
Algebra 2
Honors Algebra 2

Grade 11:
Geometry Concepts and Strategies
Geometry

Honors Geometry
Intermediate Algebra
Algebra 2
Honors Algebra 2
Pre-Calculus
Survey of Calculus

Grade 12:
Intermediate Algebra

Algebra 2
Pre-Calculus
Survey of Calculus
Choice of Two Electives

Electives for Grades 11-12:
Statistics (Fall)
Probability (Spring) CLOSED
Consumer Mathematics

 


 

Mathematics Course Progression

  Basic Academic Advanced

9th

Pre-Algebra Concepts and Strategies Algebra 1 Honors Algebra 1
10th Algebra 1 Concepts and Strategies Geometry Honors Geometry
11th Geometry Concepts and Strategies Algebra 2 Honors Algebra 2
12th Intermediate Algebra

Pre-Calculus

Survey of Calculus

Pre-Calculus

Survey of Calculus

1/2 Credit Electives:

Probability

Statistics


 

Math Core (1 credit each)

 


 


Pre-Algebra Concepts and Strategies  

This course will prepare students for success in Algebra 1. Content includes algebraic expressions and integers, equations and inequalities, decimals, factors, fractions, exponents, ratio, proportion and percent, linear functions and graphing, area and volume, right triangles and data analysis. Students will be introduced to the graphing calculator. This course will be aligned to the Pennsylvania Assessment Anchors and eligible content.

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

Materials:

Holt: Pre-Algebra

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

Difficulty: On-Level

Prerequisite: Middle School Mathematics

Grades Offered: 9

 


Algebra 1 Concepts and Strategies  

This course is designed for the student without strong mathematical skills. Content will include number sense and operations, solving linear equations, an introduction to linear functions and their graphs, proportions, problem solving skills, and data analysis. The course is aligned to the 11th grade Assessment Anchors and eligible content. Students will be expected to complete 4-5 assignments per week. Upon completion of the course the student will be ready for Geometry.
            

Materials:

Holt: Algebra 1

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

Difficulty: On-Level

Prerequisite: Pre-Algebra

Grades Offered: 9-10

 



Algebra 1  

This course is designed for the academic level student, and is aligned to the 11th Grade Assessment Anchors and eligible content as well as the 11th Grade Standards.  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 4-5 assignments per week.  Upon completion of the course the student will be ready for Geometry. 
            

Materials:

Holt: Algebra 1

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

Difficulty: On-Level

Prerequisite: Grade of 70% or higher in Pre-Algebra

Grades Offered: 9-10

 


Honors Algebra 1  

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 the 11th Grade Assessment Anchors and eligible content as well as the 11th Grade Standards.

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 4-5 assignments per week.

Upon completion of the course the student will be ready for Honors Geometry. Students will have “Honors – Algebra 1” on their transcript and carry the additional quality points toward their GPA for the honors level course.
            

Materials:

Holt: Algebra 1

Additional Teacher Developed Materials

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

Difficulty: Advanced

Prerequisite: Grade of 85% or higher in Pre-Algebra or Teacher Recommendation

Grades Offered: 9-10

 


Geometry Concepts and Strategies  

This course is designed for the student without strong mathematical skills.  The course is aligned to the 11th Grade Assessment Anchors and eligible content. Topics include angles and their measurement, area, definitions in circles, terms and postulates, circumference and area, central and inscribed angles, properties of tangents and secants, applications of right triangles, classification of quadrilaterals, comparing similar figures, parallel lines and transversals , ratio and proportion, special right triangles, the Pythagorean Theorem, quadrilaterals and types of reasoning.  Students will use Geometer’s Sketchpad.

Students will be expected to complete 4-5 assignments per week.  Upon completion of the course students will be ready for Algebra 2 Concepts and Strategies. 
            

Materials:

Holt: Geometry

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

Difficulty: On-Level

Prerequisite: Algebra 1

Grades Offered: 10-11

 


Geometry  

This course is designed for the academic level student, and is aligned to the 11th grade Pennsylvania State Standards, Assessment Anchors and eligible content.  Topics include angles and their measurements, area, basic definitions in circles, central and inscribed angles, properties of arcs and chords, properties of tangents and secants, segments, surface area and volume of three dimensional figures, applications of right triangles, basic postulates, similarity, plane figures, congruency, the Pythagorean Theorem, quadrilaterals and trigonometric functions.  Students will use Geometer’s Sketchpad in the course. 

Students will be expected to complete 4-5 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

Prerequisite: 70% or higher in Algebra 1

Grades Offered: 9-11

 


Honors Geometry  

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 11th grade Pennsylvania State Standards, Assessment Anchors and eligible content.

Topics include angles and their measurements, area,  circles, central and inscribed angles, properties of arcs and chords, properties of tangents and secants, segments, surface area and volume of three dimensional figures, applications of right triangles, postulates, similarity, plane figures, congruency, the Pythagorean Theorem, quadrilaterals and trigonometric functions. 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 4-5 assignments per week. 

Upon completion of the course students will be ready for Honors Algebra 2. Students will have “Honors – Geometry” on their transcript and carry the additional quality points toward their GPA for the honors level course.
            

Materials:

Holt: Geometry

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

Difficulty: On-Level (10) / Advanced (9)

Prerequisite: 85% or higher in Algebra 1 or Teacher Recommendation

Grades Offered: 9-11

 


Intermediate Algebra  

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. The course will combine teacher led sessions with weekly online lab assignments. This approach will individualize instruction of the basic skills yet permit exposure to open ended problem solving techniques prepared by a classroom teacher. Students will be expected to complete 4-5 assignments per week.
            

Materials:

Teacher Developed

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

Difficulty: On-Level

Grades Offered: 10-12

 

 


Algebra 2  

This course is designed for the academic level student, and is aligned to the 11th grade Pennsylvania State Standards, Assessment Anchors and eligible content.  Topics include absolute value, compound inequalities, 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, systems of equations, 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: Algebra 2

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

Difficulty: On-Level

Prerequisite: 80% or higher in Geometry or Teacher Recommendation

Grades Offered: 10-11

 


Honors Algebra 2  

This second-year algebra course is designed for the advanced level student who desires a more rigorous course of study. 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.  Honors – Algebra 2 will be listed on a student’s transcript and carry the additional quality points toward their GPA for the honors level course.
            

Materials:

Holt: 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

Prerequisite: 85% or higher in Geometry

Grades Offered: 10-11

 


Pre-Calculus  

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 11th grade Standards and Assessment Anchors and eligible content. Topics include Algebra 2 Review, concepts in trigonometry, trigonometric functions, parametric functions, exponential and logistics functions, and solving equations and inequalities. Students will be expected to complete 4-5 assignments per week. Upon completion of this course the student will be prepared for the study of Calculus.
            

Materials:

Prentice-Hall: Pre-Calculus

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

Difficulty: On-Level

Prerequisite: 85% or higher in Algebra 2

Grades Offered: 11-12

 


Survey of Calculus  

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 AP class. The course is aligned to the Pennsylvania 11th grade 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+/84+ 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.
            

Materials:

Prentice-Hall: Calculus

TI 83+/84+ Graphing Calculator

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

Difficulty: On-Level

Prerequisite: 85% or higher in Pre-Calculus

Grades Offered: 11-12

 


 

Math Electives

 


 


Statistics 1/2 credit - Fall 

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.
        

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

Prerequisite: 70% or higher in Algebra 2

Grades Offered: 11-12

 


Probability CLOSED 1/2 credit - Spring  

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.
        

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

Prerequisite: 70% or higher in Algebra 2

Grades Offered: 11-12

 


Consumer Mathematics  

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 involved in managing money and expenses and making good financial decisions.  The goal of this class is to guide students in building a strong foundation in logical thinking and problem solving that will enable them to make good financial decisions in their daily lives.
            

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

 

 

PA Leadership Charter School 2011-2012 Course Descriptions : Mathematics
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