• # Mathematics

Our Grade 5 Mathematics Curriculum addresses topics within the areas of Number and Operations in Base Ten and Fractions, Operations and Algebraic Thinking, Geometry, and Measurement and Data.  Within our units of study, students will focus on Place Value, Multiplying and Dividing Whole Numbers, Adding, Subtracting, Multiplying and Dividing Decimals and Fractions, Expressions and Patterns, and Measurement, and Geometry.

• Pre-Algebra

This course is designed to prepare students for success in Pre-Algebra and Algebra. It integrates mathematical reasoning and communication into problem solving situations. It helps students develop the ability to become effective problem solvers by selecting appropriate methods and employing a variety of strategies. The course will make connections between math concepts in other disciplines, and real-world experiences. This course will include the appropriate use of technology.

The course studies algebraic concepts such as integer operations, solving equations and inequalities, as well as the properties and relationships of geometric shapes.  Students also study proportional relationships and study consumer math, learning to calculate discounts, markups, sales tax, tips, and simple interest. Finally, students will learn to determine the probability and chance of events happening (and not happening) and will learn to apply these concepts to real-world situations. In order to prepare them for future math courses, 7th grade Pre-Algebra places a heavy emphasis on students showing their work and providing evidence for their solutions.

Scope and Sequence

• Middle School Algebra

This course provides a rigorous preparation for advanced mathematics, stressing both structure and development of problem solving skills.  Students will develop mastery of the real number system and the language and symbolism of Algebra, including equations, inequalities, polynomials, functions, and graphing with special emphasis on problem solving techniques.  The course requires student to analyze mathematical information, problem-solve, and communicate real world answers using appropriate technology.  Students will also be required to recognize patterns and make generalizations applying algebraic principles to real world situations. This course also incorporates middle school level geometry and data analysis.  Students will demonstrate their understanding of these principles through successful completion of the Pennsylvania Keystone exam in Algebra.

Scope and Sequence

The 6th grade curriculum provides students with diverse opportunities to develop problem-solving and communication skills through deductive reasoning and exploration. Students master content through inductive reasoning opportunities, engaging activities that provide deeper understanding, concise, stepped-out examples, rich, thought-provoking exercises, and a continual building on what has previously been taught.  Our domains of focus are ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability. This course provides a solid foundation for pre-algebra and algebra which are future courses in middle school and high school.

Scope and Sequence

• Principles of Algebra

This course is designed to prepare students for success in Algebra 1.  Principles of Algebra integrates mathematical reasoning and communication into problem solving situations.  This course helps students develop the ability to become effective problem solvers by selecting appropriate methods and employing a variety of strategies. The course will connect concrete math concepts with real-world situations to solidify the mathematical practices.  This course will include the appropriate use of technology.  The course studies the concepts and skills associated with the understanding of algebraic principles. This includes expressions and equations, numbers and operations, basic geometric principles including transformations, linear equations, functions, and systems, and data and modeling.

Scope and Sequence

• Geometry

The fundamental purpose of this course is to formalize geometric experiences in previous mathematical learning and prepare students for success in advanced-level math courses.  Students are expected to grasp geometric principles with ease and use independent study skills to develop mastery on complex concepts.  Students will apply spatial reasoning skills to gain a deeper understanding of theory and geometric applications.  The course will focus on teaching students to formalize and defend their mathematical conclusions.  Inductive and deductive reasoning skills are used in problem solving and real-world applications.  The course focuses on logic and reasoning, transformations, properties of polygons, trigonometric ratios, unit circles, and applies algebraic concepts to geometric figures.  The course will also supplement learning in numbers and operations, algebraic thinking, linear equations and functions, and data analysis and modeling.  This is the most rigorous course available at the middle school level and successful completion will prepare students to participate in a wide array of advanced math courses at the high school.

Scope and Sequence