
Mathematics Curriculum Overview
Middle School Course Offerings
Chairperson: Robert Bell
Email: rbell@northallegheny.org
Building: NASH
Phone: 7249347200 ext. 7301Level 4th Grade 5th Grade 6th Grade 7th Grade 8th Grade 9th Grade 10th Grade 11th Grade 12th Grade M4+ 5th Grade Elementary Math Advanced Math 6 Advanced PreAlgebra Advanced Algebra 1 Honors Geometry Honors Algebra 2 Honors PreCalculus with Trigonometry AP Calculus BC
AP Calculus AB
Honors Calculus
Math ElectivesM4 4th Grade Elementary Math 5th Grade Elementary Math Advanced Math 6 Advanced PreAlgebra Advanced Algebra 1 Honors Geometry Honors Algebra 2 Honors PreCalculus with Trigonometry AP Calculus BC
AP Calculus AB
Honors Calculus
Math ElectiveM3 4th Grade Elementary Math 5th Grade Elementary Math Academic Math 6 Academic PreAlgebra Academic Algebra 1 Academic Geometry Academic Algebra 2 Academic PreCalculus with Trigonometry Foundations of Calculus (Academic) Academic Algebra 3 Honors PreCalculus with Trigonometry
Trigonometry with Functions
Math ElectiveM3 Academic Algebra 1 Academic Geometry Academic Algebra 2 Honors PreCalculus with Trigonometry
Trigonometry with Functions
Math ElectiveM2 Essentials Math 6 Essentials PreAlgebra Essentials Algebra 1 (Part 1) Essentials Algebra 1 (Part 2) Essentials Geometry Essentials Algebra 2 Part 1 Essentials Algebra 2 Part 2 Sixth Grade Mathematics
Full Year/Full Time
Essentials of Course 2 (6M2)
Students enrolled in this course will take The Big Ideas Math program which addresses all of the 6th grade standards as outlined by the PA Core Standards. The students will receive a solid foundation in multiplying and dividing decimals and fractions, understanding number sense with whole numbers and integers, area of twodimensional shapes, surface area and volume of prisms, and working with expressions, equations, and inequalities which are the necessary concepts needed to be successful in prealgebra. The program utilizes a researchbased, balanced instructional approach that includes both inquirybased learning and direct instruction lessons.
A smaller class setting is utilized to provide more individualized instruction and remediation. Additional attention is given to assist students in the acquisition of more abstract topics. The purpose of this course is to meet the needs of students requiring more assistance.
Academic Course 2(6M3)
Students enrolled in this course will take The Big Ideas Math program which addresses all of the 6th grade standards as outlined by the PA Core Standards. The students will receive a solid foundation in multiplying and dividing decimals and fractions, understanding number sense with whole numbers and integers, area of twodimensional shapes, surface area and volume of prisms, and working with expressions, equations, and inequalities which are the necessary concepts needed to be successful in prealgebra. This course will provide a foundation in calculus which deals with change and how the change in one quantity affects other quantities: finding the mean, median, mode, and range of data, creating and interpreting bar, line, circle, and histograms, writing, comparing, and solving problems using ratios, rates, and percents, finding probability using outcomes, tree diagrams, and the counting principles.
The program utilizes a researchbased, balanced instructional approach that includes both inquirybased learning and direct instruction lessons.
Advanced Course 2(6M4)
Students enrolled in this course will take The Big Ideas Math program which addresses all of the 6th grade standards as outlined by the PA Core Standards. The students will receive a solid foundation in multiplying and dividing decimals and fractions, understanding number sense with whole numbers and integers, area of twodimensional shapes, surface area and volume of prisms, and working with expressions, equations, and inequalities which are the necessary concepts needed to be successful in prealgebra. This course will provide a foundation in calculus which deals with change and how the change in one quantity affects other quantities: finding the mean, median, mode, and range of data, creating and interpreting bar, line, circle, and histograms, writing, comparing, and solving problems using ratios, rates, and percents, finding probability using outcomes, tree diagrams, and the counting principles.
The program utilizes a researchbased, balanced instructional approach that includes both inquirybased learning and direct instruction lessons.
The pacing of the course will also be faster than the academic course. Finally, assessments will be designed to measure students’ mastery of the material at the synthesis and application levels.
Seventh Grade Mathematics — PreAlgebra
Full Year/Full Time
Essentials of PreAlgebra(7M2)
Students enrolled in this course will be taught using the Big Ideas Math program which addresses all of the 7th grade standards outlined by the PA Core Standards. This program utilizes a researchedbased, balanced instructional approach that includes both inquirybased learning and direct instruction lessons. This program also exposes students to highly motivating and relevant problems that are woven with careerreadiness and collegereadiness preparation. The students will receive a solid foundation in algebraic concepts.
A smaller class setting is utilized to provide more individualized instruction and remediation. Additional attention is given to assist students in the acquisition of more abstract topics. The purpose of this course is to meet the needs of students requiring more assistance and provide the opportunity for them to return to an academic pathway. In seventh grade PreAlgebra, students develop the concepts needed to prepare for Algebra 1. The PreAlgebra curriculum provides a strong foundation in algebra while also preparing students for future study in areas of geometry, probability, and data analysis. The curriculum has a strong focus on algebraic concepts and reasoning, solving of equations and inequalities, and geometry.
Academic PreAlgebra(7M3)
Students enrolled in this course will be taught using the Big Ideas Math program which addresses all of the 7th grade standards outlined by the PA Core Standards. This program utilizes a researchedbased, balanced instructional approach that includes both inquirybased learning and direct instruction lessons. This program also exposes students to highly motivating and relevant problems that are woven with careerreadiness and collegereadiness preparation. The students will receive a solid foundation in algebraic concepts.
Emphasis will be given to topics that are considered to be the foundation for an academic Algebra 1 course. In seventh grade PreAlgebra, students develop the concepts needed to prepare for Algebra 1. The PreAlgebra curriculum provides a strong foundation in algebra while also preparing students for future study in areas of geometry, probability, and data analysis. The curriculum has a strong focus on algebraic concepts and reasoning, solving of equations and inequalities, and geometry.
Advanced PreAlgebra(7M4)
Students enrolled in this course will be taught using the Big Ideas Math program which addresses all of the 7th grade standards outlined by the PA Core Standards. This program utilizes a researchedbased, balanced instructional approach that includes both inquirybased learning and direct instruction lessons. This program also exposes students to highly motivating and relevant problems that are woven with careerreadiness and collegereadiness preparation. The students will receive a solid foundation in algebraic concepts.
This course is designed to lead into the advanced Algebra 1 course and later into the honors and advanced placement sequence in mathematics at the high school level. Consequently, the course content will be substantial and more rigorous than the academic course. The pacing of the course will also be considerably faster than the academic course. There will also be additional content taught (radicals, integer exponents, solving linear equations and inequalities, and advanced work with proportional relationships and probabilities). Finally, assessments will be designed to measure students’ mastery of the material at the synthesis and application levels.
Eighth Grade Mathematics
Full Year/Full Time
Essentials of Algebra 1(8M2)
Students enrolled in this course will be utilize the Foundations of Algebra 1 program which addresses all of the content outlined in the PA Core Standards. This program utilizes a researchbased instructional approach that includes both inquirybased learning and direct instruction lessons. This program exposes students to a solid foundation in Algebra 1.
A smaller class setting is utilized to provide more individualized instruction and remediation. Additional attention is given to assist students in the acquisition of more abstract topics. The purpose of this course is to meet the needs of students requiring more assistance. The content of Algebra 1 is organized around families of functions, with special emphasis on linear functions. As students learn about each family of functions, they will learn to represent them in multiple ways. They will also learn to model reallife situations using functions in order to solve problems arising from those situations.
Academic Algebra 1(8M3)
Academic Algebra 1 is the first formally structured course of the Academic sequence. The content is organized around the families of functions, with special emphasis on linear and quadratic functions, along with representing functions in multiple ways through inquirybased learning in real world situations. In addition to its Algebra content, the course offers lessons on probability and data analysis as well as numerous examples and exercises involving mathematical connections to Geometry. Algebra 1 provides instruction and practice on standardized test questions in a variety of formats including multiplechoice, short response, and extended response.
Advanced Algebra 1(8M4)
Advanced Algebra 1 is the first formally structured course of the Honors sequence. The content is organized around the families of functions, with special emphasis on linear and quadratic functions, along with representing functions in multiple ways through inquirybased learning in real world situations. In addition to its Algebra content, the course offers lessons on probability and data analysis as well as numerous examples and exercises involving mathematical connections to Geometry. Algebra 1 provides instruction and practice on standardized test questions in a variety of formats including multiplechoice, short response, and extended response.
This course is designed to lead into the Honors Geometry course and later into the honors and advanced placement sequence in mathematics at the high school level. Consequently, the course content will be substantial and more rigorous than the academic course. The pacing of the course will also be considerably faster than the academic course. Finally, assessments will be designed to measure students’ mastery of the material at the synthesis and application levels.
Honors Geometry
This is a rigorous course for students who had Advanced Algebra 1 in grades 6, 7, or 8. This is the second year of an Honors Mathematics sequence. In this course, students will develop reasoning and problemsolving skills in the areas of congruence, similarity, properties of lines, properties of triangles, properties of quadrilaterals, and properties of circles. The course will also include work with transformations, perimeter, area, circumference, surface area, and volume to solve realworld problems. In addition to the Geometry content, this course includes numerous examples and exercises involving Algebra and trigonometry. Honors Geometry provides inquirybased learning and practice on standardized test questions in a variety of formats including multiple choice, short response, and extended response. Technology support will be used for both learning Geometry and for preparing for standardized tests.