Math

Principles of Middle School Math 1 is a year-long course aligned with the Grade 6 Maryland College and Career Ready Standards (MDCCRS), designed to bridge elementary arithmetic with secondary mathematical reasoning. The curriculum begins by expanding students' understanding of the rational number system, where they master multi-digit decimal operations and fraction division while exploring integers and distances on the coordinate plane. As the year progresses, students transition into formal algebraic thinking by writing and evaluating expressions with exponents, solving one-step equations and inequalities, and analyzing relationships between independent and dependent variables. Students also develop their proportional reasoning by using visual models like tape diagrams and double number lines to solve real-world ratio, unit rate, and percentage problems. The course concludes with applications in geometry—calculating the area, surface area, and volume of various figures—and statistics, where students learn to summarize and interpret data distributions using measures of center and variability.

Honors Principles of Middle School Math 2 is a year-long course aligned with the Grade 7 Maryland College and Career Ready Standards (MDCCRS), designed to deepen students' fluency with rational numbers and expand upon the algebraic and geometric reasoning in Principles of Middle School Math 1. The curriculum begins with a comprehensive study of operations with signed numbers, where students master addition, subtraction, multiplication, and division of integers, decimals, and fractions through multi-step contextual problems. Students then explore proportional relationships, identifying the constant of proportionality across various representations and applying this reasoning to real-world scenarios involving scale drawings, percent of change, and financial applications like simple interest, tax, and commissions. This algebraic foundation is further strengthened as students simplify expressions and solve multi-step equations and inequalities, interpreting their solutions within the context of the problem. The course concludes with applications in geometry—focusing on circles and the surface area and volume of polyhedrons—along with data analysis and probability, where students use sampling techniques and probability models to make informed inferences and predictions.

Principles of Middle School Math 2 is a year-long course aligned with the Grade 7 Maryland College and Career Ready Standards (MDCCRS), designed to deepen students' fluency with rational numbers and expand their algebraic and geometric reasoning learned in Principles of Middle School Math 1. The curriculum begins with a comprehensive study of operations with signed numbers, where students master addition, subtraction, multiplication, and division of integers, decimals, and fractions through multi-step contextual problems. Students then explore proportional relationships, identifying the constant of proportionality across various representations and applying this reasoning to real-world scenarios involving scale drawings, percent of change, and financial applications like simple interest, tax, and commissions. This algebraic foundation is further strengthened as students simplify expressions and solve multi-step equations and inequalities, interpreting their solutions within the context of the problem. The course concludes with applications in geometry—focusing on circles and the surface area and volume of polyhedrons—along with data analysis and probability, where students use sampling techniques and probability models to make informed inferences and predictions.

Honors Pre-Algebra is a year-long course aligned with the Grade 8 Maryland College and Career Ready Standards (MDCCRS), designed to serve as the final bridge to high school Algebra 1 by moving students into sophisticated abstract reasoning and functional thinking. The curriculum begins with an expansion of number sense, where students master square and cube roots, explore the properties of integer exponents, and learn to distinguish between rational and irrational numbers. Building directly on foundational skills learned in Principles of Middle School Math 2, students learn how to solve multi-step equations and inequalities with rational coefficients, exploring the logic behind problems with one, no, or infinitely many solutions. Students will further apply algebraic techniques in the context of geometry applications, learning about angle relationships, properties of triangles, and the Pythagorean Theorem in both 2D and 3D contexts.

A major focus of the curriculum is the study of linear functions; students develop a strong grasp of functional thinking by interpreting the rate of change and y-intercept to describe how two quantities change together. Using graphs and equations in slope-intercept form (y=mx+b), students learn to model relationships and compare functions across various representations and contexts. Students will also deepen their understanding by modeling with linear functions and analyzing bivariate data through the creation of scatter plots and the utilization of linear models to make predictions. This leads into the study of linear systems, where students learn to solve two linear equations simultaneously using both graphical and algebraic strategies.

The course concludes by having students construct two-way tables to analyze patterns in data and simulate the probability of compound events. The CCPS Pre-Algebra curriculum will provide a comprehensive foundation for future Algebra 1 success.

Pre-Algebra is a year-long course aligned with the Grade 8 Maryland College and Career Ready Standards (MDCCRS), designed to serve as the final bridge to high school Algebra 1 by moving students into sophisticated abstract reasoning and functional thinking. The curriculum begins with an expansion of number sense, where students master square and cube roots, explore the properties of integer exponents, and learn to distinguish between rational and irrational numbers. Building directly on foundational skills learned in Principles of Middle School Math 2, students learn how to solve multi-step equations and inequalities with rational coefficients, exploring the logic behind problems with one, no, or infinitely many solutions. Students will further apply algebraic techniques in the context of geometry applications, learning about angle relationships, properties of triangles, and the Pythagorean Theorem in both 2D and 3D contexts. 

A major focus of the curriculum is the study of linear functions; students develop a strong grasp of functional thinking by interpreting the rate of change and y-intercept to describe how two quantities change together. Using graphs and equations in slope-intercept form (y=mx+b), students learn to model relationships and compare functions across various representations and contexts. Students will also deepen their understanding by modeling with linear functions and analyzing bivariate data through the creation of scatter plots and the utilization of linear models to make predictions. This leads into the study of linear systems, where students learn to solve two linear equations simultaneously using both graphical and algebraic strategies.

The course concludes by having students construct two-way tables to analyze patterns in data and simulate the probability of compound events. The CCPS Pre-Algebra curriculum will provide a comprehensive foundation for future Algebra 1 success.

Honors Algebra 1 deepens and extends the understanding of linear and exponential relationships by comparing and contrasting them with each other and with quadratic functions and by applying linear models to data. Students will engage in methods for analyzing, solving, and applying quadratic functions, as well as solve systems of equations involving linear, exponential, and quadratic functions. In addition, students will create and solve equations and inequalities and examine data sets in one and two variables. Students will expand their experience with functions to include more specialized functions – absolute value, step, and piecewise defined functions. The Standards for Mathematical Practices will be applied throughout the course to help students experience mathematics as a coherent, useful, and logical subject that requires students to make sense of problem situations. This curriculum is aligned to the Maryland College and Career Ready Standards. Students will take the Maryland Assessment for Algebra I at the completion of this course.

Prerequisite: Pre-Algebra