Today, I will read and represent numbers in expanded form.
Vocabulary
Teacher Resources
Whole number: any number including 0 (e.g., 0, 1, 2, 3, …); the number 113 is a whole number. Base ten blocks (used to represent/draw whole numbers) hundreds
tens
ones
Considerations: Emphasize that another way to write the whole number 113 is 100 + 10 + 3. When writing a number in expanded form, the number is decomposed. This term will be referenced when using strategies to add and subtract.
Steps: 1. 2. 3. 4.
100
+
10
+
3
The expanded form of 113. Standard form: the way we usually write numbers
Count the ones cubes; write it’s value. Count the tens rods; write it’s value. Count the hundred squares; write it’s value. Write the whole number.
Application of MPs: MP2: How do you know your answer is reasonable? MP7: Did you notice any patterns when expanding numbers? MP8: What strategies did you use to help solve the problems?
Decompose: taking apart a number into hundreds, tens, and ones
5. The answer is incorrect because the problem asked for the answer to be in expanded form and the answer is shown in standard form. The correct answer is 200+30+4.
6. Yes, the answer is correct because there are 0 tens in
6. 868; picture model:
I I I I I I
the number 802. Therefore, when expanding the number the tens
1. Write the following number in expanded form and standard form.
2. The whole number 107 is written in expanded form. Represent it using base ten blocks.
100 + 7
Extension
*MP4: How can you relate this to something in real life?
Explain why the numbers are added together when written in expanded form.
Reaching Consensus
*MP3: Do you agree/disagree with what
said?
Student Presentations
*MP6: How do you know your answers are correct/reasonable?
Recap today’s lesson with one or more of the following MP questions:
MP2: How did you know your answer was reasonable? MP7: Did you notice any patterns when expanding numbers? MP8: What strategies did you use to help solve the problems?