Montessori Stamp Game with Decimal Fractions: Solving 36% of 45

 Montessori Stamp Game with Decimal Fractions: Solving 36% of 45

COMMAND AND CONTROL CARD:

I'll create a comprehensive step-by-step guide for using the Montessori stamp game to solve 36% of 45, following the process of read, build, draw, and write. I'll include a word problem related to farming and an SVG representation of the process.

Word Problem

Farmer Miguel has 45 acres of land. He decides to plant sunflowers on 36% of his land. How many acres will be used for sunflowers?

Read-Build-Draw-Write Process

1. READ

• First, we need to understand that finding 36% of 45 means we're calculating: 36/100 × 45
• We need to express this as a decimal multiplication: 0.36 × 45

2. BUILD

Step 1: Set up the problem with the stamp game materials.

• We'll need stamps in the following colors:
  • Units (green)
  • Tens (blue)
  • Hundreds (red)
  • Thousands (green)
  • Tenths (pink)
  • Hundredths (blue)
  • Thousandths (green)

Step 2: Represent 0.36 with the stamps.

• Place 3 pink tenth stamps (representing 0.3)
• Place 6 blue hundredth stamps (representing 0.06)

Step 3: Represent 45 with the stamps.

• Place 4 blue tens stamps (representing 40)
• Place 5 green unit stamps (representing 5)

Step 4: Perform the multiplication using the stamp game.

• We'll multiply 0.36 × 45 by distributing:
  • First multiply 0.36 × 5 units
  • Then multiply 0.36 × 4 tens

Step 5: Calculate 0.36 × 5 (units)

• 0.3 × 5 = 1.5 (1 unit and 5 tenths)
• 0.06 × 5 = 0.3 (3 tenths)
• Total: 1.8 (1 unit and 8 tenths)

Step 6: Calculate 0.36 × 40 (tens)

• 0.3 × 40 = 12 (1 ten and 2 units)
• 0.06 × 40 = 2.4 (2 units and 4 tenths)
• Total: 14.4 (1 ten, 4 units, and 4 tenths)

Step 7: Combine the partial products

• Add 1.8 + 14.4 = 16.2
• This represents 1 ten, 6 units, and 2 tenths

3. DRAW

• Draw the stamps in their proper positions and colors
• Show the movement of stamps as the multiplication is performed
• Illustrate the combination of partial products

4. WRITE

• Write the equation: 36% of 45 = 0.36 × 45 = 16.2
• Therefore, Farmer Miguel will use 16.2 acres of his land for sunflowers.

Visual Representation