Math Curriculum

K-12 Mathematics 

msth

Mission Statement: Our mission in the School District of Upper Moreland Township is to develop a community of learners who construct and communicate meaning from the mathematical world around them. Students will experience mathematics that encourages them to think critically, discover, and apply concepts to solve problems strategically.

Overview: Courses are aligned to the Core Standards, providing students with robust and relevant learning experiences connected to real world application. Content builds from year to year in a coherent progression, preparing students with the knowledge and skills needed for success in college and careers.

High School Planned Courses

Algebra 1

Students in this course will develop the skills and accuracy in algebraic techniques and their applications. The course content is aligned to the Common Core State Standards and consists of operations with real numbers and expressions, linear equations and inequalities, functions, coordinate geometry and data analysis. Real-world situations and applications are embedded in the development of mathematical concepts throughout the course. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Algebra 2

Students in this course will develop a higher degree of skill and accuracy in algebraic techniques and their applications. The course content is aligned to the Common Core State Standards and consists of the analysis of the complex number system, rational expressions and equations, data analysis and probability, and non-linear functions. Real-world situations and applications are embedded in the development of mathematical concepts throughout the course. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Algebra 2 Honors

Students in this course will develop a higher degree of skill and accuracy in algebraic techniques and their applications. The course content is aligned to the Common Core State Standards and consists of the analysis of the complex number system, rational expressions and equations, data analysis and probability, and non-linear functions. Students will have the opportunity for enriched mathematical study as they learn Algebra 2 concepts in greater depth and at faster pace.
Real-world situations and applications are embedded in the development of mathematical concepts throughout the course. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Concepts of Algebra 1-A/B

Students in this course will develop the skills and accuracy in algebraic techniques and their applications. The course content is aligned to the Common Core State Standards and consists of linear functions, coordinate geometry and data analysis. Real-world situations and applications are embedded in the development of mathematical concepts throughout the course. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course. (Note: The Concepts of Algebra 1-A/B is intended to be taken as the second and third year of a three year course progression, with Concepts of Algebra 1-A being the first year of the course progression. Students will need to complete all years of the progression to prepare for the Keystone Algebra Exam. This progression may be modified by the IEP team based on individual student need.)

This course is designed for students who have an IEP and require additional math support. This course parallels the material and content of Algebra 1-A and Algebra 1-B. It follows the scope and sequence of Algebra 1-A and Algebra 1-B while meeting the needs of each student as prescribed by their IEP. It integrates whole group instruction and small group instruction with the technology of individualized software to support the development of computation skills.

Calculus

This 12th Grade course involves the study of limits, differentiation and integration formulas with applications, and related topics. Students will work with functions represented graphically, numerically, analytically and verbally, including the study of derivatives and integrals. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Calculus Honors

This course involves the study of limits, differentiation and integration formulas with applications, and related topics. Students will work with functions represented graphically, numerically, analytically and verbally, including the study of derivatives and integrals. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Advanced Placement Calculus

This course is extremely rigorous and is meant to prepare students for the Advanced Placement Calculus AB Test. This course provides an intensive study of limits, continuity, derivatives and their application, methods of integration and their application, and related topics. Students who take this course are strongly encouraged to take the Advanced Placement Calculus Test. Students are also encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Calculus Honors

This course involves the study of limits, differentiation and integration formulas with applications, and related topics. Students will work with functions represented graphically, numerically, analytically and verbally, including the study of derivatives and integrals. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Geometry

This course’s content is aligned to the Common Core State Standards. It provides an integrated study of plane, solid and coordinate geometry. Students will use properties of circles, spheres, cylinders, polygons, polyhedra, congruence and similarity in problem solving settings involving 2- and 3- dimensional figures. Students will write formal or informal proof statements to construct or validate arguments. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Geometry Honors

This course’s content is aligned to the Common Core State Standards. It provides a study of plane, solid and coordinate geometry with an emphasis on proofs and constructions to validate arguments. Students will use properties of circles, spheres, cylinders, polygons, polyhedra, congruence and similarity in problem solving settings involving 2- and 3- dimensional figures. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Pre-Calculus with Trigonometry - Honors

This course’s content is aligned to the Common Core State Standards. It includes the study of triangle trigonometry, trigonometry and its relation to the unit circle, trigonometric equation solving, sequences and series, all characteristics of functions, conic sections, polar coordinates, parametric equations, vectors, matrices, exponential growth and decay, binomial expansion, limits and an introduction to differentiation. Real-world situations and applications are embedded in the development of mathematical concepts throughout the course. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Pre-Calculus with Trigonometry

This course’s content is aligned to the Common Core State Standards. It includes the study of triangle trigonometry, trigonometry and its relation to the unit circle, trigonometric equation solving, sequences and series, all characteristics of functions, conic sections, polar coordinates, parametric equations, matrices, exponential growth and decay, and binomial expansion. Realworld situations and applications are embedded in the development of mathematical concepts throughout the course. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Middle School Math Planned Courses

Accelerated Mathematics 6

This course is aligned to the Common Core State Standards for Mathematics and is designed to develop an understanding of essential sixth and seventh grade mathematical concepts at an accelerated pace. Instructional time will focus on seven critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) developing understanding of and applying proportional relationships; (3) further developing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (4) writing, interpreting, and using expressions and equations; (5) developing understanding of operations with rational numbers and working with expressions and linear equations; (6) solving problems involving scale drawings and informal geometric constructions, and working with two-and three-dimensional shapes to solve problems involving area, surface area, and volume; and (7) developing understanding of statistical thinking and drawing inferences about populations based on samples.

MS Mathematics 6

This course is aligned to the Common Core State Standards for Mathematics and is designed to develop an understanding of essential sixth grade mathematical concepts. Instructional time will focus on four critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) further developing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing understanding of statistical thinking.

MS Mathematics 7

This course is aligned to the Common Core State Standards and is designed to develop an understanding of essential seventh grade mathematical concepts. Instructional time will focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two-and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples.

MS Pre-Algebra

This course is aligned to the Common Core State Standards and is designed to develop an understanding of essential eighth grade concepts. Instructional time will focus on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; and (3) analyzing two-and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.

MS Pre- Algebra 6

This course is aligned to the Common Core State Standards for Mathematics and is designed to develop an understanding of essential sixth, seventh, and eighth grade mathematical concepts at an accelerated pace. Instructional time will focus on ten critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) developing understanding of and applying proportional relationships; (3) further developing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (4) writing, interpreting, and using expressions and equations; (5) developing understanding of operations with rational numbers and working with expressions and linear equations; (6) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (7) grasping the concept of a function and using functions to describe quantitative relationships; (8) solving problems involving scale drawings and informal geometric constructions, and working with two-and three-dimensional shapes to solve problems involving area, surface area, and volume; (9) analyzing two-and three-dimensional space and figures using distance, angle similarity, and congruence, and understanding and applying the Pythagorean Theorem; and (10) developing understanding of statistical thinking and drawing inferences about populations based on samples.

MS Pre- Algebra 7

This course is aligned to the Common Core State Standards for Mathematics and is designed to develop an understanding of essential seventh and eighth grade mathematical concepts at an accelerated pace. Instructional time will focus on seven critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (4) grasping the concept of a function and using functions to describe quantitative relationships; (5) solving problems involving scale drawings and informal geometric constructions, and working with two-and three-dimensional shapes to solve problems involving area, surface area, and volume; (6) analyzing two-and three-dimensional space and figures using distance, angle similarity, and congruence, and understanding and applying the Pythagorean Theorem; and (7) drawing inferences about populations based on samples.

MS Algebra 1

Students in this course will develop the skills and accuracy in algebraic techniques and their applications. The course content is aligned to the Common Core State Standards and consists of operations with real numbers and expressions, linear equations and inequalities, functions, coordinate geometry and data analysis. Real-world situations and applications are embedded in the development of mathematical concepts throughout the course. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

MS Geometry

This course’s content is aligned to the Common Core State Standards. It provides a study of plane, solid and coordinate geometry with an emphasis on proofs and constructions to validate arguments. Students will use properties of circles, spheres, cylinders, polygons, polyhedra, congruence and similarity in problem solving settings involving two- and three- dimensional figures. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Video - Welcome to an Upper Moreland Grades 6-12 Math Classroom