📚Mastering the Three-Digit World: Place Value to 1,000

Lesson plan

Objectives

• Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.
• Read and write numbers to 1,000 using base-ten numerals, number names, and expanded form.
• Represent a three-digit number using concrete manipulatives like base-ten blocks.
• Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits.

Materials

• Sets of base-ten blocks (hundreds flats, tens rods, ones units)
• Individual student whiteboards and dry-erase markers
• Large place value pocket chart for the front of the room
• Number cards (0-9) for building numbers
• Place value mats (Hundreds, Tens, Ones columns)
• Printed 'Secret Code' cards for expanded form practice

Warm-up

Begin by showing the students a pile of 10 tens rods. Ask the class to help you count them by tens: 10, 20, 30... 100. Trade the 10 rods for one hundred flat and explain that today we are moving beyond 100 into the hundreds place. Write the number 100 on the board and ask students what each digit represents, leading into a discussion about how ten 'tens' make one 'hundred'.

Direct instruction

1. Introduce the Place Value Chart with three columns: Hundreds, Tens, and Ones.
2. Model building the number 235 using base-ten blocks. Place 2 flats in the hundreds, 3 rods in the tens, and 5 units in the ones.
3. Explain the value of each digit: The '2' isn't just a 2, it is 200. The '3' is 30, and the '5' is 5.
4. Demonstrate Expanded Form: Show that 235 = 200 + 30 + 5. Call this 'stretching' the number out.
5. Practice zeros as placeholders: Write 407. Explain that because there are no tens, we must put a 0 to keep the 4 in the hundreds place.
6. Model reading the numbers aloud, emphasizing that we don't say 'and' between hundreds and tens (e.g., 'four hundred seven' not 'four hundred and seven').

Guided practice

Distribute place value mats and blocks to student pairs. The teacher calls out a number, such as 342. Students work together to place 3 flats, 4 rods, and 2 units on their mats. Once verified, the teacher asks: 'How many tens are in this number?' Students respond '4'. The teacher then asks: 'What is the value of that 4?' Students respond '40'. Repeat this with 508 (highlighting the empty tens column) and 999.

Independent practice

Students will complete a 'Number Constructor' worksheet where they must look at pictures of base-ten blocks, write the standard number, and then write the expanded form. For the second half, they will be given the expanded form (e.g., 700 + 20 + 1) and must draw the simple sketch representation (squares for hundreds, lines for tens, dots for ones).

Closure

Review the concept by asking students to stand up if they can tell you what digit is in the hundreds place of 812. Ask for an Exit Ticket: 'Write the number 643 in expanded form and draw a quick sketch of it.' Students hand this in before transitioning to the next subject.

Assessment

Mastery will be measured through the accuracy of the independent practice worksheet, observation during the guided block-building activity, and the correctness of the Exit Ticket responses.

Differentiation

For struggling learners, provide a 'Place Value Slider' tool and limit numbers to under 500 until they master the transition from tens to hundreds. For advanced learners, challenge them to build numbers using non-standard decompositions, such as representing 235 using 1 hundred, 13 tens, and 5 ones.

The Power of Three Digits

For each problem, identify the value of the digits or write the number in the requested form.

1. What is the value of the digit 7 in the number 732?
2. Write 400 + 50 + 8 in standard form.
3. How many tens are in the number 291?
4. Write the number 'six hundred fourteen' using digits.
5. Expand the number 902.
6. Draw a quick sketch of 125 (Squares for hundreds, lines for tens, dots for ones).
7. Which is greater: 452 or 425?
8. What number is represented by 3 hundreds, 0 tens, and 4 ones?
9. If you add one more ten to 395, what number do you get?
10. Write the value of the 0 in 804.

Place Value Check-Up

1. In the number 528, which digit is in the hundreds place?
   • 5
   • 2
   • 8
   • 0
   Answer: 5
2. What is the expanded form of 360?
   • 3 + 6 + 0
   • 300 + 6
   • 300 + 60
   • 30 + 60 + 0
   Answer: 300 + 60
3. What number is the same as 7 hundreds and 4 ones?
   • 74
   • 740
   • 704
   • 407
   Answer: 704
4. Which digit has the greatest value in the number 198?
   • 1
   • 9
   • 8
   • All are equal
   Answer: 1
5. What is 100 more than 822?
   • 832
   • 922
   • 823
   • 722
   Answer: 922
6. How do you write 'five hundred nineteen'?
   • 50019
   • 590
   • 519
   • 591
   Answer: 519
7. Which of these is 245?
   • 20 + 40 + 5
   • 200 + 4 + 5
   • 200 + 40 + 5
   • 2 + 4 + 5
   Answer: 200 + 40 + 5
8. If you have 10 tens, what do you have?
   • 10
   • 100
   • 1,000
   • 1
   Answer: 100

Place Value Adventure at Home

This week, we are exploring three-digit numbers. This homework helps your child visualize how numbers are built using hundreds, tens, and ones. Please encourage your child to explain how they found each answer. Standard form is just writing the number normally, like 123.

• Find 3 items in your house that have numbers on them (like a clock, a cereal box, or a page number). Write those numbers down.
• Choose one of the numbers you found and draw a picture of it using squares for hundreds, lines for tens, and small dots for ones.
• Write three numbers that are greater than 500 but less than 600.
• Complete the pattern: 200, 300, 400, ___, ___, ___.
• Solve this riddle: 'I have 4 hundreds, 0 tens, and 8 ones. What number am I?'
• Explain to a family member why the number 203 is different from the number 230.

Vocabulary

Hundreds Place · noun

The position of the third digit from the right in a whole number.

"In the number 456, the 4 is in the hundreds place."

Tens Place · noun

The position of the second digit from the right in a whole number.

"The 5 in 456 is in the tens place."

Ones Place · noun

The position of the first digit from the right in a whole number.

"The 6 in 456 is in the ones place."

Digit · noun

Any of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

"A three-digit number has three symbols in it."

Expanded Form · noun

A way to write a number that shows the value of each digit.

"The expanded form of 123 is 100 + 20 + 3."

Standard Form · noun

The common way to write a number using digits.

"The standard form of 'one hundred' is 100."

Place Value · noun

The value of a digit depending on its position in a number.

"The place value of the 2 in 28 is twenty."

Base-Ten · adjective

A number system based on the number ten.

"We use base-ten blocks to show how numbers are built."

Flat · noun

A base-ten block that represents 100.

"Put one flat on your mat to show 100."

Placeholder · noun

A digit (usually 0) used to keep other digits in their correct places.

"In 502, the zero is a placeholder for the tens."

Activities

• Build-a-Number Race · 10 minutes

  Students work in pairs. One student flips over three number cards to create a 3-digit number. The second student must race to build that number using base-ten blocks on their mat. Once built, they both say the number in expanded form. They switch roles after each turn to ensure both practice building and reading.

• Expanded Form Slap · 10 minutes

  Teacher writes a standard number on the board (e.g., 472). On the students' desks are cards showing various expanded forms (e.g., 400+70+2, 40+70+2, 400+7+2). Students must find and 'slap' the correct card that matches the number on the board, then explain their choice to their partner.

• Mystery Number Riddles · 10 minutes

  The teacher gives clues like: 'I have 5 in my tens place, my hundreds digit is 2 more than 1, and I have 0 ones.' Students use whiteboards to write the number (350). After a few rounds, students are invited to come to the front and whisper a riddle to the teacher to share with the class.

• Place Value Walk · 15 minutes

  Stations are set up around the room with different representations of numbers (word form, expanded form, block drawings). Students rotate through stations with a clip board, translating each representation into standard form (digits). This gets students moving while practicing the translation between different number formats.