## Item description

The Pythagoras Board is used:

- To reinforce the concept of multiplication.
- To aid with memorization of the multiplication tables.
- To help the child discover they know the basic multiplication tables from memory.
- To prepare the child for work on squaring and square root.

This resource includes:

- Pythagoras Board Option 1 (red): print on white cardstock
- Pythagoras Board Option 2 (black and white): print on red cardstock
- 1 set of products
- 1 Material Analysis with information about the board and an introductory lesson

Here you can print your own and go! Save yourself hours of work and lots of money.

This material is suitable for any child – whether in a traditional Montessori environment or not.

Please reach out if you have any questions. I love to receive feedback and always respond when I get some!

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### Standards

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = __ ÷ 3, 6 × 6 = ?.

Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.