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Honors Grade 6 Mathematics

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Eligibility: CTY-level or Advanced CTY-level math score required

Prerequisites: Successful completion of Grade 5 Mathematics or equivalent

Course Format: Individually Paced

Course Length: Typically 6 months

Recommended School Credit: One academic year

Course Code: HG6

Course Description


This is a full-length online Honors Grade 6 mathematics course for accelerated students. This course reviews concepts from grade 5 mathematics, is aligned to Grade 6 Common Core Mathematics, and exposes students to additional above grade mathematical topics. In this course, students will be introduced to the theory and applications of rational numbers. Modeling and real-world problems are emphasized throughout the course. This course develops problem solving skills through numeric manipulation and visual representation of the topics presented, and prepares students for Honors Pre-Algebra.

Online course materials, such as videos, lessons, interactive web pages, and practice problems with solutions, are provided. Students progress through the course at their own pace and are expected to watch videos and review notes regularly. Each student is assigned to a CTY instructor to help them during their course. Students can contact their instructors via email with any questions or concerns at any time. Live one-on-one online review sessions can be scheduled as well to prepare for the graded assessments, which include homework, tests, written assignments, and cumulative exams.

Instructors use virtual classroom software allowing video, voice, text, screen sharing, and whiteboard interaction. Students are strongly encouraged to work on the course at least 1 hour a day, 5 days a week (for a 6-month enrollment) and communicate frequently with their instructors.

Topics include:

  • Expressions and Equations
  • Operations with Equations and Inequalities
  • Integers
  • Rational Numbers
  • Ratios and Rates
  • Measurements and Percentages
  • Statistics
  • Geometry
  • Explorations in Mathematics

For a detailed list of topics, click the "List of Topics" tab.

This course has synchronous virtual class meetings, but participation is optional. Students may also schedule one-on-one virtual meetings directly with the instructor to answer questions or concerns. View the schedule on the Help Room tab for class meeting times. Meetings will be recorded for students who are unable to attend due to scheduling conflicts.

Virtual classrooms, and student activities in the classroom, may be recorded and added to the course as an ongoing asset for all class students to review. Students may be invited to interact in CTY community spaces that include students and instructors and potentially specially invited guests that are not enrolled in their course. Student contributions (e.g., projects, forum posts, etc.) may remain in the course after the student completes the course. These artifacts may be preserved to showcase student work or to continue important conversations.

Materials Needed

There are no required materials for this course.

List of Topics


  • Whole Number Division and Divisibility Rules
  • Decimals
  • Fractions and Mixed Numbers
  • Percents
  • Factors and Multiples

Expression and Equations

  • Expressions
  • Properties with Expressions
  • Equations
  • Independent and Dependent Variables

Operations with Equations and Inequalities

  • Addition Equations
  • Subtraction Equations
  • Multiplication Equations
  • Division Equations
  • Inequalities


  • Understanding Integers
  • Adding Integers
  • Subtracting Integers
  • Multiplying Integers
  • Dividing Integers

Rational Numbers

  • Introduction to Rational Numbers
  • Comparing and Ordering Rational Numbers
  • Absolute Value
  • Rational Numbers on the Coordinate Plane
  • Algebra with Rational Numbers

Ratios and Rates

  • Ratios
  • Equivalent Ratios
  • Rates and Unit Rates

Measurement and Percentages

  • Measurement and Conversions with Ratios
  • Finding Percentages
  • Using Percentages to Find a Number


  • Data Collection and Displays
  • Measures of Center
  • Variability


  • Area of Parallelograms, Triangles, Trapezoids
  • Area of Composite Figures
  • Volume of Prism
  • Surface Area

Explorations in Mathematics

  • Sequences
  • Set Theory and Venn Diagrams
  • Clock and Modular Arithmetic
  • Caesar Ciphers
  • Multiplicative Cipher


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Elementary Math Help Room

Help Room

Each week, all students are invited to an open Upper Elementary Math Help Room (Honors Grades 5 and 6), run by CTY Staff. Students are encouraged to come learn about an exciting topic and interact with other online students. Topics reviewed vary each week.

The Upper Elementary Help Room meets Thursdays from 7-8 p.m. ET.


Technical Requirements

This course requires a properly maintained computer with high-speed internet access and an up-to-date web browser (such as Chrome or Firefox). The student must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.

Zoom online virtual classroom
This course uses an online virtual classroom which can be used for instructor-student communication if the student has any questions about the course or curriculum. The classroom works on standard computers with the Zoom desktop client and also tablets or handhelds that support the Zoom Mobile app. Students will need a computer with the Zoom desktop client installed to watch any recorded meetings. The Zoom desktop client and Zoom Mobile App are both available for free download.

This course uses Respondus LockDown Browser proctoring software for designated assessments. LockDown Browser is a client application that is installed to a local computer. Visit the Respondus website for system requirements.

While Chromebook can be used to progress through the course, all exams must be completed on a PC or Mac.