Dividing by Decimal Models

Name:

Date:

🎯 Learning Goals

I can... use models to divide a 1-digit number by a decimal up to hundredths.

I can... represent division with decimals using base-10 blocks and grids.

Success Criteria:

✓ I can identify what each model represents
✓ I can use models to solve division problems
✓ I can explain my thinking using mathematical language

📊 Part 1: Understanding Decimal Division Models

1. Look at this model showing 3 ÷ 0.5. If each whole square represents 1, what does the division show?

How many halves are in 3 wholes

How many wholes are in 3 halves

3 plus 0.5

3 minus 0.5

2. When dividing 2 ÷ 0.25, you would need to find how many groups of _______ fit into 2 wholes.

25 hundredths

2 tenths and 5 hundredths

1 fourth

25 tenths

3. Using base-10 blocks, 4 ÷ 0.2 means:

Split 4 wholes into 2 equal groups

Find how many 2-tenths fit in 4 wholes

Add 4 and 0.2

Take away 0.2 from 4

✏️ Part 2: Solving with Models

4. Draw or describe how you would use a model to solve 6 ÷ 0.3. What is the answer?

Answer: 6 ÷ 0.3 = _______

5. Use the grid model strategy to solve 5 ÷ 0.25. Explain your steps.

Answer: 5 ÷ 0.25 = _______

6. Maria says that 8 ÷ 0.4 = 2 because "8 divided by 4 equals 2." Use a model to show if Maria is correct or incorrect. Explain your reasoning.

7. Extension Challenge: Create your own division problem using a 1-digit whole number divided by a decimal (up to hundredths). Draw a model to solve it and explain your solution.

My problem: _______ ÷ _______ = _______

🔑 Answer Key

1. How many halves are in 3 wholes (Answer: 6)

2. 25 hundredths (or 1 fourth)

3. Find how many 2-tenths fit in 4 wholes

4. 6 ÷ 0.3 = 20 (Twenty 3-tenths fit in 6 wholes)

5. 5 ÷ 0.25 = 20 (Twenty 25-hundredths fit in 5 wholes)

6. Maria is incorrect. 8 ÷ 0.4 = 20, not 2. The decimal point matters!

7. Answers will vary - check that model matches the problem and solution is correct

Differentiation Notes:

Support: Provide physical base-10 blocks or pre-drawn grids
Challenge: Ask students to solve using multiple model types
Extension: Have students create word problems for their division equations