1. Mathematics Lesson: Comparing Decimals to Solve Real-World Situations
5.NBT.3 Read, write, and compare decimals to thousandths.
a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., = 3 x x x x (1/10) + 9 x (1/100) + 2 x (1/1000).
b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

2. Essential Question
How does the placement of the decimal impact the value of a number?

3. Model Airplane
Monte is building a model airplane with his grandfather. The instructions tell them they need wheels with a diameter between 1.45 and Will a wheel with a diameter of work?
Solve the problem using the following steps: 
Reread the problem and determine what the problem is asking you to find.
Predict/Estimate the solution.
Determine the solution to the problem and write an explanation of your thinking in words.
Support your answer to the problem using the 2 different representations of a number line and a place value chart.
Review your solution and determine if it is reasonable.

4. Explanation in Words
In order for a wheel with a diameter of to work in the model, I know that needs to be greater than 1.45 and less than  
First, I compared to I compared each digit, starting with the numbers to the left, since they are the largest. Since both numbers have 1 in the ones place, I moved to the tenths place. Since both numbers have 4 in the tenths place, I moved to the hundredths place. I know that 6 hundredths is larger than 5 hundredths, so I know that is greater than 1.45.
Next, I compared to Again, I compared each digit, starting with the numbers to the left. Since both numbers have 1 in the ones place, I moved to the tenths place. Since both numbers have 4 in the tenths place, I moved to the hundredths place. I know that 7 hundredths is larger than 6 hundredths, so I know that is greater than
Since is greater than 1.45 and less than 1.475, the wheel will work in the model.

5. Number Line:

6. Place Value Chart:
Ones .
Tenths
Hundredths
Thousandths 1 4 5 6 3 7
Students can use the place value chart to compare the digits from left to right to determine that 6 hundredths is between 5 hundredths and 7 hundredths.

7. Comparing Decimals to Solve Real-World Situations-Practice
Laura compared 0.37 and in the following way: > Explain how Laura knew this to be true. Use the UPSE format in your Math Notebook.