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Honors Grade 6 Mathematics

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 grade 7 mathematics.

Online course materials, such as videos, notes, interactive webpages, 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, chapter tests, and a cumulative midterm and final.

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:

  • rational numbers 
  • equations and relationships
  • ratio and proportional relationships
  • applications to music
  • statistics and probability
  • the coordinate plane
  • linear functions
  • mathematical discoveries

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

Materials Needed

There are no required materials for this course.

List of Topics


  • Number Theory
  • Decimals
  • Fractions and Mixed Numbers
  • Percents
  • Properties of Integers
  • Prime Factorization

Rational Numbers

  • Introduction to Rational Numbers
  • Comparing and Ordering Rational Numbers
  • Properties of Rational Numbers
  • Exponents

Equations and Relationships

  • Expressions and Equations
  • Equations and Inequalities
  • Independent and Dependent Variables

Ratio and Proportional Relationships

  • Ratios and Proportions
  • Rates and Unit Rates
  • Measurement and Dimensional Analysis
  • Similar Figures and Scale Drawings

Math and Music

  • Introduction to Math and Music
  • Musical Notation
  • Rhythm
  • Set Theory
  • Applications of Ratios

Statistics and Probability

  • Organizing and Displaying Data
  • Representing and Analyzing Data
  • Introduction to Probability
  • Experimental Probability
  • Theoretical Probability
  • Independent and Dependent Events
  • Combinations and Permutations


  • Area
  • Introduction to the Pythagorean Theorem
  • Volume
  • Surface Area
  • Euler’s Polyhedra Formula

The Coordinate Plane

  • The Coordinate Plane
  • Tables and Graphs
  • Line Graphs and Scatter Plots
  • Polygons and the Coordinate Plane
  • Translations, Reflections, and Rotations
  • Dilations

Linear Functions

  • Functions, Tables, and Graphs
  • Graphing Linear Functions
  • Slopes and Rates of Change
  • Slope-Intercept Form

Explorations in Mathematics

  • Sequences
  • Reasoning and Logic
  • More about Primes
  • Modular Arithmetic
  • Caesar Ciphers Multiplicative Cipher

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Sample Video

Sample Video

Honors Grade 6 sample video

Honors Grade 6 sample video


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.

This course uses an online virtual classroom for discussions with the instructor. The classroom works on standard computers with the Adobe Connect Add-in or Adobe Flash plugin, and also tablets or handhelds that support the Adobe Connect Mobile appStudents who are unable to attend live sessions will need a computer with the Adobe Connect Add-in or Adobe Flash plugin installed to watch recorded meetings. The Adobe Connect Add-in, Adobe Flash plugin, and Adobe Connect Mobile app are available for free download. Students who do not have the Flash plug-in installed or enabled on their browsers will be prompted to download and install the Adobe Connect add-in when accessing the virtual classroom.