RAY’S NEW PRIMARY ARITHMETIC
This is the first book in the series.
(For grades 1-2)
Download the complete book here:
Like any good textbook, it contains a brief Preface, which you can read here.
If you are teaching the Primary Math, read this first.
Ray’s Primary Arithmetic has 89 lessons in all.
Below are the lessons listed in order, with a brief description of each.
Click on the Lesson to go to its lesson page and view the video.
Scroll down below each video to see the full lesson from the book.
Numbers and Figures
Lesson I – Counting objects, numbers one to ten.
Lesson II – Counting objects, numbers eleven to forty.
Lesson III – Counting objects, numbers forty-one to seventy.
Lesson IV – Counting objects, numbers seventy-one to one hundred.
Review, Lessons I – IV – Review of counting and numbers from one to one hundred.
Lesson V – Reading the figures for numbers one to one hundred.
Lesson VI – Writing the figures for numbers one to one hundred.
Oral Exercises
NOTE–These exercises are intended for use with the Numeral Frame or with counters of some kind–marbles, pebbles, kernels of corn, beans or bits of pasteboard. The objects should be arranged in distinct groups to represent each number indicated. (RPA, p. 9)
Lesson VII – Counting and performing simple operations (adding, subtracting, multiplying) using objects, numbers one to five.
Lesson VIII – Counting and performing simple operations (adding, subtracting, multiplying) using objects, numbers six to eight.
Lesson IX – Counting and performing simple operations (adding, subtracting, multiplying) using objects, numbers nine to ten.
Review, Lessons V – IX – Review of counting exercises and adding, subtracting and multiplying using objects, numbers one to ten.
ADDITION
Lesson X – Counting from a picture; addition problems using numbers between two and twelve.
Lesson XI – Addition problems including the number ONE; story problems including the number ONE.
Lesson XII – Addition problems including the number TWO; story problems including the number TWO.
Lesson XIII – Addition problems including the number THREE; story problems including the number THREE.
Review Lessons X – XIII-Review of addition problems in previous four lessons.
Lesson XIV – Addition problems including the number FOUR; story problems including the number FOUR.
Lesson XV – Addition problems including the number FIVE; story problems including the number FIVE.
Lesson XVI – Addition problems including the number SIX; story problems including the number SIX.
Lesson XVII – Addition problems including the number SEVEN; story problems including the number SEVEN.
Review Lessons XIV – XVII – Review of addition problems in previous four lessons.
Lesson XVIII – Addition problems including the number EIGHT; story problems including the number EIGHT.
Lesson XIX – Addition problems including the number NINE; story problems including the number NINE.
Lesson XX – Addition problems including the number TEN; story problems including the number TEN.
ADDITION REVIEW
Lesson XXI – Addition problems using numbers TWO through TEN; adding three numbers at a time.
Lesson XXII, pt. 1 – Adding three numbers at a time using numbers TWO through NINE.
Lesson XXII, pt. 2 – Adding three numbers at a time; exercises with counting multiples of numbers up to TWENTY.
Lesson XXIII – Story problems with addition using numbers between ONE and TEN.
SUBTRACTION
Lesson XXIV – Counting from a picture; subtraction questions using numbers between one and nine.
Lesson XXV – Subtracting with the number ONE, using numbers one through ten.
Lesson XXVI – Subtracting with the number TWO, using numbers one through eleven.
Lesson XXVII – Subtracting with the number THREE, using numbers one through twelve.
Review Lessons XXIV – XXVII – Review of previous four lessons: selected subtraction problems and story problems.
Lesson XXVIII – Subtracting with the number FOUR, using numbers one through thirteen.
Lesson XXIX – Subtracting with the number FIVE, using numbers one through fourteen.
Lesson XXX – Subtracting with the number SIX, using numbers one through fifteen.
Lesson XXXI – Subtracting with the number SEVEN, using numbers one through sixteen.
Review Lessons XXVIII -XXXI – Review of previous four lessons, with selected subtraction and story problems.
Lesson XXXII – Subtracting with the number EIGHT, using numbers from one through seventeen, plus story problems.
Lesson XXXIII – Subtracting with the number NINE, using numbers from one through eighteen, plus story problems.
Lesson XXXIV – Subtracting with the number TEN, using numbers from one through nineteen, plus story problems.
SUBTRACTION REVIEW
Lesson XXXV – Subtraction problems using numbers between two and nineteen.
Lesson XXXVI, part 1 – ADDITION AND SUBTRACTION with two-part problems.
Lesson XXXVI, part 2 – ADDITION AND SUBTRACTION with two-part problems.
Lesson XXXVII – Subtracting multiples of numbers, plus story problems.
At this point, the way I teach this in a full-year format, Grade 1 Math ends here.
If you want to see what a complete 180-lesson Grade 1 Mathematics course looks like (with a free 40-lesson trial), click HERE.
You can order my Ray’s Arithmetic-based Math 1 course HERE. (IMPORTANT: There is an annual family enrollment fee of $250 required to be able to take this course via Ron Paul Curriculum.)
Grade 2 Math would begin with a review of numbers, figures, addition and subtraction, then move into multiplication.
If you’re ready for MULTIPLICATION, then click on the following link to proceed: Multiplication and Division
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Ray's Arithmetic 
Thank you SO MUCH for posting these wonderful videos! It has really helped me figure out how to use Ray’s with my children. I’m sure these videos took quite a bit of time to put together. Thank you, thank you, thank you!
I’m a little late in responding to you but you are VERY welcome! Thank you for your kind comments. It’s gratifying to know that the video lessons are helpful to you and your children.
How long do they stay on a lesson? Should we do one a day?
There is a book I recommend to all parents using Ray’s Arithmetics. It is called Parent-Teacher’s Guide to Ray’s Arithmetic by Ruth Beechick. Beechick gives excellent advice on how to cover the lessons in all of the books, how much time to spend, etc. Early on it’s about one a week. This progresses to two a week and more as they advance.