#### Material

Chart 3, showing answers for all the addition combinations.

Chart 4, showing half the answers, eliminating the reversals.

Chart 5, further reduced to show only the answers 1 to 18.

Chart 6, blank, for placement of wooden answer tiles.

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

For each chart, a receptacle for completed problem tickets.

For chart 6, a box of wooden squares with the answers.

Chart 1 for checking.

Squared paper, pencil holder, pencil.

#### Presentation

##### Addition Chart 3

- Invite the child to the lesson.
- Show him the addition Chart 3.
- Ask him to bring the material to a table.
- Bring one paper, underlay and pencil on a tray.
- Point out the numbers on the left side and on the top of the chart.
- “I’ll show you how to use this board.”
- For example, “I’ll find six up here.”
- Place dominant finger on six at the top.
- “And I’ll find 5 over here.”
- Place sub dominant finger on five on left.
- Slide dominant finger down and sub dominant finger to right.
- Slide them until they meet, and stop in the square in which they meet.
- Emphasize where they meet.
- “Five and six make eleven!”
- “Would you like to try with five and six?”
- Give a couple more examples and ask the child to do the examples, too.
- Once the child is secure, open the box.
- Pull out a random card.
- Ask the child to write the problem on the paper.
- Place the card in the lid of the box.
- “I know you can find the answer!”
- Repeat this process a couple more times, then let the child work independently.
- “When you are done, you can use Chart 1 to check your work!”

##### Addition Chart 4

- Invite the child to the lesson.
- Show him the addition Chart 4.
- Ask him to bring the material to a table.
- Bring a pencil, paper, and underlay on a tray.
- Emphasize that this chart is different, there are no blue numbers at the top.
- “Watch this.”
- Think of a problem, such as 4 plus 6.
- Place your dominant finger on the smaller addend; in this example, on the 4.
- Say “Four.”
- Place your subdominant finger on the larger addend; in this example, on the 6.
- Say “Six.”
- Slide your dominant finger to the last box of the row.
- Slide your dominant finger down in a column, until it lands in a box that is in the same row as your sub dominant finger.
- Slide your sub dominant finger in its row to the right, until it meets in the same box as your dominant finger, in this case the 10 box.
- “Ten! That’s what four and six makes!”
- Do another example.
- Give the child a couple examples to do.
- Open the box of prepared slips.
- “You can write the problems and answers on your paper, then check your answers with control Chart 1!”
- Let the child work independently with the slips.

Addition Chart 5

- Invite the child to the lesson.
- Show him the addition Chart 5.
- Ask him to bring the material to a table.
- Bring a pencil, paper, and underlay on a tray.
- “Watch this.”
- Think of a problem, such as 4 plus 8.
- Place your sub dominant finger on the smaller addend:

sub dominant finger on the 4 on the left. - “Four.”
- Place your dominant finger on the larger addend:

dominant finger on the 8 on the left. - “Eight.”
- Slide both fingers to the right, until they are in the last box of their rows.
- Move your fingers diagonally, towards each other, one box at a time:

your dominant fingers goes down one box diagonally while your sub dominant fingers simultaneously goes up one box diagonally. - Continue this simultaneous finger jumping until you land in the same box.
- “Oh, it’s 12!”
- Ask the child to do it.
- Do another example, and ask the child to do it after you.
- Give the child an example that results in an odd number:

“Can you do 4 and 7?” - Allow the child to discover that his fingers have to jump down together, to the box in-between his two fingers.
- “Yes, that’s it! There is only one place to go! It’s eleven!”
- Open the box of prepared slips.
- “You can write the problems and answers on your paper, then check your answers with control chart 1!”
- Let the child work independently with the slips.

##### Addition Chart 6

- Invite the child to the lesson.
- Show him the addition chart 6.
- Ask him to bring the material to a table.
- “We don’t need paper or pencil this time.”
- Look at the board with the child:

“There are no numbers here!” - Bring the box of prepared slips and the box of tiles.
- Show the child the slips, but then close the box again.
- Open the box of tiles and look at the child to emphasize the tiles.
- Put the tiles on the table.
- Pick out tiles to make a row that goes from 2 to 18.
- Point out the difference between the six and the nine:

“See, the 6 curves a little more.” - Ask the child to organize the tiles with you, in columns based on their number.
- Once all the tiles are organized, admire them:

“Wow, it looks like an upside-down stair!” - “We’re going to put these tiles where they are supposed to go!”
- Take out a prepared slip and read it:

“Five plus eight.” - “You know the answer, right? Yes, thirteen!”
- Slide a 13 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 stay with the child as he solves a few more problems.
- “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 3!”

#### Exercises

Child works independently for all my presentations.

#### Direct Purpose

The memorization of addition combinations.

#### Control of Error

Control Chart 1 for addition charts 3, 4 and 5.

Control Chart 2 for addition chart 6

#### Age

5