**DIVISION CHARTS 1 AND 2**

**Purpose***:*

To teach the child division combinations.

Exercise 2 is a preparation for finding the Highest Common Factor and the Lowest Common Multiple.

**Materials***:
*Division Charts 1 and 2.

Boxes or baskets for each Chart, containing blue tickets on which are written all short division problems with a dividend of 81 or less that are exactly divisible.

A blue box of answer tiles for Chart 2 with the division sign on the box.

Squared paper and pencil.

**Control***:*

Multiplication Control Chart 1 or child’s own chart.

For Chart 2 – Chart 1.

**Age***:*

5.5 – 6.5 years

**CHART 1**

Presentation:

At a table, examine the board with the child who identifies the numbers along the top row.

Note the two colors, the prime numbers are in white.

The child also reads the numbers along the diagonal and notes the division signs.

The child selects, reads, writes and guesses the solution to a problem.

Fingering –

Find the dividend along the top row and mark it with the right index finger.

Find the divisor along the diagonal numbers with the division signs and mark it with your left index finger.

Move the right finger down until it is in the same row as the left finger.

Move the left finger across until it meets the right finger.

Where they meet is the answer. Record the answer.

Repeat two more times then invite the child to try the fingering.

Check the work with the child’s own chart or Multiplication Control Chart #1.

*Exercise:* As in the presentation.

**CHART 2**

Presentation:

Examine the chart which is the same as Chart 1 except it is blank.

Introduce the tiles.

Lay out the tiles in an ordered arrangement progressing from 1 to 9 with like numbers together.

Note the arrangement.

The child selects and reads a problem and finds the answer in the tiles and isolates it.

Fingering is done in the same manner as for Chart 1.

Place the tile where the fingers meet.

Repeat until the chart is complete.

Check work with Division Chart 1.

Exercise: As in the presentation.

**EXTENSION:**

The teacher explains prime numbers and factoring.

When the child inquires about the numbers in white explain they are ‘prime numbers’.

“That means they can be only divided by 1 and themselves.”

The child gets the chart he compiled and paper and pencil.

Select a quotient, ie. 56, the child writes it in the center of the page.

Look it up on the chart and record the two numbers which make it up, ie. 7 and 8, below and a bit apart with arrows pointing down from 56.

Look on the chart again to find out the numbers which make up 7 and then 8.

Continue on (showing factoring).

Since 7 and 2 are prime numbers they do not have any factors.

Repeat according to the interest of the child.