Using Base Ten Blocks to Represent Decimals

Base ten blocks (hundreds, tens, and ones)
Decimal place value chart (optional)
Markers or colored pencils
Worksheet for practice (optional)
Introduction (10 minutes): Explain the traditional use of base ten blocks (ones, tens, hundreds). Introduce the new concept of using these blocks to represent decimals (wholes, tenths, hundredths).

Demonstration (10 minutes):

Show a hundreds block and explain that it now represents one whole (1).
Show a tens block and explain that it now represents one-tenth (0.1) because it is ten times smaller than the whole.
Show a ones block and explain that it now represents one-hundredth (0.01) because it is one hundred times smaller than the whole.
Hands-On Practice (20 minutes):

Distribute base ten blocks to each student along with a decimal place value chart.
Have students practice representing different decimal numbers using the base ten blocks. For example, represent 1.23 by using 1 whole block, 2 tenths blocks, and 3 hundredths blocks.
Encourage students to explore and manipulate the blocks to form various decimal numbers.
Guided Activities (20 minutes):

Provide a series of decimal numbers and have students represent each number using the base ten blocks. For example, 0.45 would be represented with 4 tenths blocks and 5 hundredths blocks.
Use the decimal place value chart to reinforce the concept and help students visualize the placement of each decimal digit.
Group Discussion and Reflection (10 minutes):

Facilitate a discussion about how using base ten blocks helps in understanding decimals. Ask questions like: “How do the blocks help you see the value of each decimal place?” and “What challenges did you face while using the blocks?”
Summarize the activity and reinforce the understanding that each type of block represents a different place value in decimals.
Additional Practice (Optional): Provide a worksheet with decimal problems for students to solve using base ten blocks. This can include tasks like converting fractions to decimals or adding and subtracting decimals using the blocks.