
In the Classical Liberal Arts Academy, we provide students with the opportunity to study the excellent Ray’s Arithmetic series, which was arranged and publish by Dr. Joseph Ray in the 1800s. Our online courses make the content of this series available for free to students, and offer online quizzes, graded assignments and support as well.
I. Primary Arithmetic
The first study in the series is Primary Arithmetic, which covers the basics of counting and arithmetic facts. This text is intended for students getting started in Arithmetic, ages 5 and above. This study is available in the Academy’s Modern Arithmetic I course.
- Enroll in Modern Arithmetic I
- Download a copy of Ray’s Primary Arithmetic.
- Purchase a copy of Ray’s Primary Arithmetic
II. Intellectual Arithmetic
The second study in the series is Intellectual Arithmetic. This text is intended for students ages 8 and above and is available in our Modern Arithmetic II course.
- Enroll in Modern Arithmetic II
- Download Ray’s Intellectual Arithmetic
- Purchase a copy of Ray’s Intellectual Arithmetic
III. Practical Arithmetic
The third study in the series is Practical Arithmetic. This text is intended for students ages 10 and above and is available in our Modern Arithmetic III course.

IV. Higher Arithmetic
The fourth study in the series is Higher Arithmetic. This text is intended for students ages 12 and above and is available in our Modern Arithmetic IV course.
V. Elementary Algebra
The fifth study in the series is Elementary Algebra. This text is intended for students ages 12 and above and is available in our Algebra I course.
VI. Advanced Algebra
The sixth study in the series is Advanced Algebra. This text is intended for students ages 14 and above and is available in our Algebra II course.
VII. Plane & Solid Geometry

The seventh study in the series is Plane & Solid Geometry. This text is intended for students ages 14 and above and is available in our Plane & Solid Geometry course.
VIII. Geometry & Trigonometry
The seventh study in the series is Geometry & Trigonometry. This text is intended for students ages 16 and above and is available in our Geometry & Trigonometry course.
IX. Analytical Geometry
The seventh study in the series is Ray’s Analytical Geometry. This text is intended for students ages 16 and above, who have finished Geometry & Trigonometry.
- Enroll in Analytical Geometry
- Download Ray’s Analytical Geometry
This free content is provided for independent study. Students who wish to pursue formal instruction, assessments, academic records, and accredited coursework may enroll in the Classical Liberal Arts Academy.