Free Graph and Lattice Paper!

1. Graph Paper v1
2. Graph Paper v2
3. Lattice Paper v1
4. Lattice Paper v2

Feel free to download and print for your own or for your classroom. There are many uses for graph paper besides graphing lines. It can be used for arithmetic and geometry. Lattice paper can be used for lattice multiplication and synthetic division.

Graph Paper v1(PDF)

Full page, 1 square is about 1 sq cm.

Graph Paper v2(PDF)

Full page, 1 square is about 2 sq cm.

Lattice Paper v1 (PDF)

Full page, 1 square is about 1 sq cm. It has lattice pattern.

Lattice Paper v2(PDF)

Full page, 1 square is about 2 sq cm. It has a lattice pattern.

If you have any other suggestions for a different type of math paper, put them in the comments below.

Videos for Numerical and Polynomial Synthetic Division

I recently completed the videos based on my guest article on Numerical and Polynomial Synthetic Division. The playlist includes both full-length videos and shorts. All related to my discovery or rediscovery of numerical synthetic division.

Article Link

"Numerical and Polynomial Synthetic Division with Negative Digits - IABS Publishing Corp (iabs-publishing.com)"

Video Playlist

Outline of Video series

• Ep 1. Numerical and Polynomial Synthetic Division Article
• Overview of the guest article
• An example of polynomial synthetic division
• An example of numerical synthetic division
• Ep 2. Introducing Negative Digits
• Negative digits are used with numerical synthetic division
• What they are
• How to convert our numbers and numbers with mixed digits
• Ep 3. Vedic Division
• Similar, but limited to synthetic division
• Two styles of Vedic division
• Ep 4. Extended Form of Polynomial Synthetic Division
• Examples showing synthetic division can be used with any polynomial
• "Remove and replace" property of synthetic division
• Note: different from most (or all) textbooks
• Ep 5. Numerical Synthetic Division
• 26,763 divided by 58
• Same division problem, shown through 3 different ways
• Ep 6. More Examples of Numerical Synthetic Division
• Ex1. 8889÷37
• Ex2. 999,999÷285
• Ex3. 34568÷7825
• Ep 7. Verifying Irrational and Complex Zeros with Synthetic Division
• Ex1. Check if 1 ± √5 are zeros of 2𝑥^3 − 5𝑥^2 − 6𝑥 + 4
• Ex2. Check if 1 + √5 is a zero of 2𝑥^3 − 5𝑥^2 − 6𝑥 + 4
• Ex3. Verify that −2 + 3𝑖 is a solution of 𝑥^2 + 4𝑥 + 13
• Ep 8. Synthetic Division of Multivariable Polynomials
• Ex1. (6𝑥^4−7𝑥^3 𝑦+5𝑥^2 𝑦^2+7𝑥𝑦^3−11𝑦^4)÷(3𝑥^2−2𝑥𝑦+3𝑦^2)
• Ex2. (𝑥^2+2𝑥^2 𝑦−2𝑥𝑦+4𝑥𝑦^2−3𝑦^2)÷(𝑥+𝑦)

Ep 1 gives an overview of the article. Ep. 2-4 gives the foundation for the discovery of numerical synthetic division. Ep 5-6 introduce numerical synthetic division and demonstrate the algorithm with various examples. Ep 7-8 discuss interesting ways synthetic division can be used, based on Ep 4.

In the future, I may produce more videos related to synthetic division as I research other ways in which polynomial and numerical synthetic division can be used.