#### Material

Chart 2 (Control Chart 2), eliminating the reverse combinations.

Chart 3, showing all the answers for the table.

Chart 4, showing only half of the answers (eliminating the reversals).

Chart 5, blank, for receiving answer tiles.

For each chart, a set of multiplication combinations (tickets), without the answer.

For each chart, a receptacle for completed problem tickets.

For Chart 5, a box of wooden squares with the answers.

Chart 1 for checking the answers.

Squared paper, pencil holder, pencil.

#### Presentation

##### Chart 3

- Invite the child to the lesson.
- Introduce multiplication chart 3.
- Ask the child to bring the materials to a table.
- Bring one piece of grid paper along with an underlay and a pencil.
- Point out the numbers at the top and on the left.
- Perform a few examples such as 5 x 7.
- Place subdominant finger on the 5 on the left.
- Place dominant finger on the 7 on the top.
- Slide fingers together, subdominant slides to the right, dominant slides down, until they meet in a square, such as 35.
- Give child examples to do.
- Ask the child to do a number multiplied by one.
- “There it is! It is just itself!”
- Ask the child to do 10 multiplied by ten.
- Open the box of prepared slips.
- Ask the child to take out a random slip and read it.
- Ask the child to write the problem on the grid paper.
- Place the slip face down in the box’s lid.
- Ask the child to solve the problem and write the answer.
- Ask the child to repeat this process until he fills the grid paper.
- “You can use multiplication chart one to check your answers.”

##### Chart 4

- Invite the child to the lesson.
- Introduce multiplication chart 4.
- Ask the child to bring the materials to a table.
- Bring one piece of grid paper along with an underlay and a pencil.
- Point out that there are no blue numbers at the top.
- “I’ll show you how to use this chart.”
- Give an example such as 10 x 4.
- Place subdominant finger on 10 and dominant finger on 4.
- Slide dominant finger the right 4 spaces, and then slide it down until it is in the 10 row.
- Slide subdominant finger to the right until it meets the dominant finger, in this case the 40 box.
- Do a few more examples for the child.
- Give a few examples for the child to do.
- Give a tricky example for the child, such as 8 x 8.
- Open the box of prepared slips.
- Ask the child to take out a random slip and read it.
- Ask the child to write the problem on the grid paper.
- Place the slip face down in the box’s lid.
- Ask the child to solve the problem and write the answer.
- Ask the child to repeat this process until he fills the grid paper.
- “I’ll show you how to check your work with a new chart once you are done.”
- “If you don’t see the problem, just switch the numbers around; they will be on the board!”

##### Chart 5

- Invite the child to the lesson.
- Introduce multiplication chart 5.
- Ask the child to bring the materials to a table.
- Look at the board with the child:

“There are no numbers here!” - Bring the box of prepared slips and the box of tiles.
- Put the tiles on the table.
- Pick out tiles to make a row that is:

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 49, 50, 54, 56, 60, 63, 64, 70, 72, 80, 81, 90, 100. - Ask the child to organize the tiles with you, in columns based on their number.
- Once all the tiles are organized, admire them.
- “We’re going to put these tiles where they are supposed to go!”
- Take out a prepared slip and read it.
- “You know the answer, right?”
- Slide the tile down to isolate it.
- Place your fingers in the same positions as with Chart 3, and slide them together in the same way.
- Place the tile on the square where your fingers meet.
- Create excitement and do a few more problems with the child.
- “Alright, you can keep reading the slips and placing the tiles!”
- “When you are done, I bet you know what chart to use to check! Right, Chart 1!”

#### Exercises

Child works independently.

#### Purpose

To memorize the multiplication tables.

#### Control of Error

Chart 3’s control is Chart 1.

Chart 4’s control is Chart 2.

Chart 5’s control is Chart 3.

#### Age

5 1/2 to 6 1/2