#### Material

Seven wooden solids representing the following hierarchical values:

1: a green cube of 1/2 cm x 1/2 cm x 1/2 cm

10: a blue prism of 1/2 cm x 1/2 cm x 5 cm, divided into equal parts by free lines to that each section represents the preceding value (one)

100: a red prism of 1/2 cm x 5 cm x 5 cm, divided into equal parts by blue lines so that each section represents the preceding value (ten)

1,000: a green cube of 5 cm x 5 cm x 5 cm divided into equal parts by red lines so that each section represents the preceding value (hundred)

10,000: a blue prism of 5 cm x 5 cm x 50 cm divided into equal parts by green lines so that each section represents the preceding value (unit of thousand)

100,000: a red prism of 5 cm x 50 cm x 50 cm divided into equal parts by blue lines so that each section represents the preceding value (ten of thousand)

1,000,000: a green cube of 50 cm x 50 cm x 50 cm divided into equal parts by red lines so that each section represents the preceding value (hundred of thousand)

#### Presentation

##### Quantity

- Invite the child to the lesson.
- Ask the child to lay 2 large rugs next to each other, forming a large square.
- Show the child the Wooden Hierarchical Material.
- Ask the child to say “wooden hierarchical material.”
- Bring the small tray of Wooden Hierarchical Material to the rug.
- Bring the golden bead introduction tray.
- Pick up the unit bead.
- Ask the child “What is this? Right, a unit!”
- Place the small green cube next to the unit bead.
- “This is also a unit.”
- Repeat this process, comparing the blue prism with the 10 bar, the red prism with the 100 square, and the larger green cube with the 1000 cube.
- After all the beads are compared, return the golden beads to the shelf.
- Count the unit cube and say “One. This is one.”
- “Let’s see how many ones go into this.”
- Slide and count the unit cube next to the blue prism.
- “One, two, three…nine, ten. This is ten.”
- “Let’s see how many tens go into this.”
- Slide and count the ten-prism next to the red prism.
- “Ten, twenty, thirty…ninety, one hundred. This is one hundred.”
- “Let’s see how many one hundreds go into this.”
- Lift the one hundred prism and compare it to each row of the cube.
- “One hundred, two hundred, three hundred…one thousand. This is one thousand.”
- Perform a 3 period lesson with the wooden hierarchical materials that are on the rug.
- Once the child is secure with this knowledge, invite the child to see the large Wooden Hierarchical Material.
- Show the child how to hold the large blue prism and ask him to bring it to the rug.
- Ask the child to help you bring the large red prism to the rug.
- Ask the child to help you bring the large green cube to the rug.
- Repeat this process the same as before, comparing 1000 cube to blue prism.
- “One thousand, two thousand, three thousand…ten thousand. This is ten thousand.”
- Repeat this process for the rest of the prisms.
- Do another three-period lesson with all seven of the prisms.
- After the three-period lesson, group the material by color: 1 with 1,000 and 1,000,000; 10 with 10,000; and 100 with 100,000.
- Help the child clean up the material.

##### Symbol

- On another day, invite the child to the lesson.
- Take the box of white cards to the table.
- Open the box and take the cards out.
- Place the cards into a stack.
- Ask the child what the first card says:

“Right, one!” - Move the card to the side of the stack, revealing the next card in the stack.
- “What is this? Yes, ten!”
- Move the card to the side.
- “What is this? Right, one hundred!”
- Move the card to the side.
- “What is this? Yes, one thousand! What does this comma mean? The comma just separates the family.”
- Repeat this process for 10,000 and 100,000 and 1,000,000; emphasizing the comma, such as: “This is one hundred” pause and point at the comma “thousand. One hundred thousand!”
- Proceed with a three-period lesson.
- Ask the child how many zeroes are in the numbers.

##### Quantity and Symbol

- On another day, invite the child to the lesson.
- “Let’s get out the wooden hierarchical material, and bring the cards to the rug too!”
- Randomize the wooden hierarchical material on the rug.
- Ask the child to place the cards with the corresponding prisms.
- Admire the child’s work once all cards are placed.
- Remove the cards and order the wooden hierarchical material based on family.
- Ask the child to place the cards back with their prisms again.
- With the child, think about what even larger quantities would look like.

#### Exercises

Child works independently.

#### Purpose

To give familiarity with categories above 1000 and give practice in reading, including commas.

To reinforce the idea of families, such as hundreds, thousands, and millions.

#### Control of Error

None.

#### Age

5 1/2 to 6 1/2