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Honors Grade 4 Mathematics

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

Prerequisites: Successful completion of Grade 3 Mathematics or equivalent

Course Format: Individually Paced

Course Length: Typically 6 months

Recommended School Credit: One academic year

Course Code: HG4

Course Description


The Honors Grade 4 Mathematics sequence covers concepts typically offered in one full year in an honors mathematics curriculum and is aligned with the Common Core State Standards. This course begins with a review of grade 3 concepts and covers a full-year honors curriculum to prepare students for Grade 5 Mathematics. Lessons are provided through interactive videos, online interactives, graded assessments and projects. Students develop mathematical reasoning, learn critical thinking skills, and acquire problem solving techniques to investigate and explore Grade 4 mathematics.

Online course materials, such as videos, notes, interactive webpages, and practice problems with solutions, are provided for the student. 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 exams, 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 email their instructors at least once per week.

Topics include:

  • whole numbers operations
  • algebraic thinking and basic number theory
  • decimals
  • fraction concepts
  • fraction operations
  • ratios
  • integers
  • measurement
  • data and statistics
  • geometry
  • sets and sequences

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

Whole Number Operations

  • Multiplying Whole Numbers
  • Dividing Whole Numbers
  • Exponents
  • Simplifying Expressions
  • Properties of Whole Numbers

Algebraic Thinking and Basic Number Theory

  • Translating Expressions
  • Rules of Divisibility
  • Factors and Multiples
  • Prime and Composite Numbers and Prime Factorization
  • Greatest Common Factor (GCF) and Least Common Multiple (LCM)


  • Comparing and Ordering Decimals
  • Adding and Subtracting Decimals
  • Multiplying Decimals
  • Dividing Decimals
  • Scientific Notation

Fraction Concepts

  • Equivalent Fractions and Simplifying Fractions
  • Comparing and Ordering Fractions
  • Converting Between Fractions and Decimals
  • Percents

Fraction Operations

  • Adding and Subtracting Fractions
  • Adding and Subtracting Mixed Numbers
  • Multiplying Fractions and Mixed Numbers
  • Dividing Fractions and Mixed Numbers


  • Finding Ratios
  • Equivalent Ratios
  • Ratios and Rates

Measurement and Integers

  • Customary Units of Measure
  • Metric Units of Measure
  • Introduction to Integers
  • Elapsed Time

Data and Statistics

  • Coordinate Plane
  • Bar Graphs, Line Graphs and Histograms
  • Mean, Median, Mode, Range


  • Lines and Angles
  • Properties of Polygons
  • Perimeter and Area of Parallelograms and Triangles
  • Properties of Three Dimensional Figures
  • Volume

Sets and Sequences

  • Set Notation
  • Operations with Sets
  • Sequences
  • Roman Numerals

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Elementary Mathematics Help Room Grades 3 and 4

Help Room

Each week, all students are invited to an open Elementary Math Help Room for grades 3 and 4 run by a rotating staff of instructors. Students are encouraged to come with questions or just to meet other online students. Topics reviewed vary each week.

Grades 3 and 4 meet each Tuesday from 7–8 p.m. E.T.

Sample Video

Sample Video

Please use Chrome or Safari to view the video below:

Honors Grade 4 Math 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.

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.