Middle School Curriculum Guide

Mathematics

The Middle School mathematics program provides a transition from the Lower School’s heterogeneous classrooms to the Upper School’s leveled course structure. Instruction emphasizes mathematical communication, with students regularly engaging in discussions, collaborative problem‑solving, and activities that promote flexible thinking and persistence. Across all courses, students are encouraged to listen actively, participate thoughtfully, and clearly articulate their reasoning and questions as part of their daily mathematical practice. Courses are paced to support steady progress so that all students can learn confidently and experience success.

As a 1:1 school, technology is intentionally integrated to elevate teaching and learning. Students and teachers engage with interactive, adaptable resources that promote exploration, deepen understanding, and connect mathematical thinking to meaningful, real‑world experiences.

The program is designed to help students build a strong mathematical foundation while fostering curiosity and a lasting interest in the subject. Teachers monitor student growth closely and adjust instruction as needed. In addition to traditional assessments, teachers consider student engagement, creativity, and willingness to take on intellectual challenges.

MIDDLE SCHOOL MATHEMATICS DEPARTMENT COURSE BYPASS POLICY
Mathematics at RCDS is taught as a sequential program, with each course designed as a full‑year experience that allows students to develop skills alongside their peers. In general, students are not expected to bypass courses in order to excel in mathematics.

In limited circumstances, a student may demonstrate readiness to complete the content of a full‑year course independently over the summer and advance in the sequence. Course bypasses require approval from the Mathematics Department, may only occur at the Honors level, and are permitted only between sixth grade and Algebra 2/Trigonometry.

Families wishing to pursue this option must submit the Mathematics Bypass Form before the end of the current school year. The form, available from the Mathematics Department, must outline the student’s planned summer coursework or tutoring. The Department will review all submissions and communicate decisions by the end of the school year.

If a request is approved, the student must complete the required summer work by mid‑August and take an RCDS placement test in mid to late August. A score of 90% or higher is required to bypass the course and enroll in the next Honors‑level class. Placement tests are offered only during this mid‑August window and may be taken once.

Students who do not meet the required score will remain enrolled in the course assigned during the regular course selection process.

FIFTH-GRADE MATHEMATICS

The fifth‑grade mathematics program continues the Singapore Math approach used in the Lower School. Students strengthen their skills with whole numbers, fractions, and decimals, and deepen their understanding of number sense, place value, estimation, fractional equivalents, and percents. Throughout each unit, students practice a range of problem‑solving strategies through both independent and collaborative work. They also develop organizational skills and effective study habits. By the end of fifth grade, students should demonstrate solid proficiency in:

Whole‑number operations
Computation with fractions and decimals
Fraction, decimal, and percent equivalents
Finding the percent of a quantity
Calculating the perimeter and area of rectangles
Geometry concepts, including measuring angles, classifying triangles and quadrilaterals, and understanding angle sums in triangles and quadrilaterals

SIXTH-GRADE MATHEMATICS

The sixth‑grade mathematics program builds strong computational skills while introducing more complex problem‑solving and foundational pre‑algebra concepts. Throughout the year, students learn and apply effective study strategies, with an emphasis on producing clear, organized, and accurate work. Each unit incorporates a range of problem‑solving approaches as students engage with diverse word problems and real‑world applications. By the end of sixth grade, students should demonstrate solid proficiency in:

Number theory and operations with decimals
Fractions
Integers
Pre‑algebra concepts, including expressions and equations
Percents, ratios, and proportions
Business math applications (e.g., discounts, sales tax)
Geometry
Measurement

SEVENTH-GRADE MATHEMATICS

Seventh‑grade mathematics is offered in three levels—Pre‑Algebra, Advanced Pre‑Algebra, and Honors Pre‑Algebra. Students are placed in the course that best supports their growth, provides an appropriate level of challenge, and prepares them for the next step in the math sequence.

Pre-Algebra

Pre‑Algebra strengthens students’ understanding of core mathematical concepts while introducing foundational algebraic ideas. The course is paced to ensure students have the time they need to process new material and build confidence. While many topics extend prior learning, new concepts are introduced throughout the year to broaden students’ mathematical foundation.

Advanced Pre-Algebra

Advanced Pre‑Algebra continues the study of arithmetic within a more theoretical framework and emphasizes increasingly sophisticated problem‑solving strategies. Students deepen their algebraic reasoning and prepare for Algebra I in eighth grade. Academic independence is expected, with students demonstrating the ability to work with limited teacher support.

Honors Pre-Algebra

Honors Pre‑Algebra challenges students to apply algebraic concepts to a wide range of problem types, often requiring them to discover solution pathways independently. The course moves at an accelerated pace and places significant emphasis on complex word problems and algebraic reasoning. By year’s end, students should demonstrate strong mastery of both arithmetic and introductory algebra.

Core Skills and Concepts

Across all three levels, seventh‑grade students are expected to demonstrate proficiency in:

Word problems involving algebra, percents, and geometry
Operations with integers and real numbers
Simplifying and evaluating algebraic expressions
Solving linear equations
Solving and graphing multistep inequalities
Operations with monomials and polynomials
Basic factoring of algebraic expressions
Perimeter, area, volume, and surface area

EIGHTH-GRADE MATHEMATICS

Eighth‑grade mathematics is offered in three levels—Introduction to Algebra 1, Advanced Algebra 1, and Honors Algebra 1. Students are placed in the course that best supports their growth, provides an appropriate level of challenge, and prepares them for the next stage of the math sequence.

Introduction to Algebra 1

Introduction to Algebra 1 follows a traditional Algebra 1 curriculum and builds on the skills developed in Pre‑Algebra. Students strengthen their ability to work with integers and variables while developing critical thinking and problem‑solving skills. After completing this course, students typically move into Geometry or Advanced Geometry; for some, repeating Algebra 1 may be the most appropriate next step.

Advanced Algebra 1

Advanced Algebra 1 completes the Algebra 1 program begun in seventh grade, extending through quadratic functions. The course provides comprehensive exposure to the concepts and operations found in any Algebra 1 curriculum. While less theoretical than the Honors level, it offers a strong foundation in algebraic reasoning. Students are expected to be highly motivated and demonstrate strong mathematical skills. Upon completion, students are prepared to enter Advanced Geometry.

Honors Algebra 1

Honors Algebra 1 completes the accelerated Algebra 1 sequence begun in Honors Pre‑Algebra. This course offers a rigorous and in‑depth exploration of algebraic concepts and requires technical fluency, analytical thinking, independence, and strong reading skills. The pace is fast‑moving and designed for students with high motivation and advanced mathematical ability. Students who successfully complete the course typically enter Honors Geometry in Grade 9.

Core Skills and Concepts

By the end of eighth grade, students across all levels are expected to demonstrate proficiency in:

Number properties and axioms
Solving linear and quadratic equations
Operations with integers
Operations with rational and irrational numbers and expressions
Exponents
Inequalities
Operations with polynomials
Factoring using all major methods
Graphing linear and quadratic functions

In This Section

Useful Links

MS Curriculum

Middle School Curriculum Guide

FIFTH-GRADE MATHEMATICS

SIXTH-GRADE MATHEMATICS

SEVENTH-GRADE MATHEMATICS

Pre-Algebra

Advanced Pre-Algebra

Honors Pre-Algebra

Core Skills and Concepts

EIGHTH-GRADE MATHEMATICS

Introduction to Algebra 1

Advanced Algebra 1

Honors Algebra 1

Core Skills and Concepts