Expanded Form
Expanded Form
Watch the clips below to learn more about expanded form.
Now select the answers for these past paper questions.
(1) Which shows the value of each digit in 149?
(a) 100 + 40 + 9
(b) 100 + 4 + 9
(c) 100 + 4 = 90
(2) Which represents 562?
(a) 5 + 6 + 2
(b) 500 + 6 + 2
(c) 500 + 60 + 2
(3) Which is the same as 42?
(a 4 tens 2 ones
(b) 2 tens 4 ones
(c) 42 tens 0 ones
(4) Which of the following is the same as 653?
(a) 6 + 5 + 3
(b) 60 + 50 + 3
(c) 600 + 50 + 3
(5) Which is the same as 324?
(a) 300 + 20 + 4
(b) 200 + 40 +
(c) 400 + 30 + 2
(6) Which represents 7 thousands + 1 hundred + 8 tens + 4 ones?
(a) 8741
(b) 7184
(c) 4817
(7) What is 975 written in expanded form?
(a) 9,000 + 700 + 50
(b) 900 + 70 + 5
(c) 90 + 700 + 5
Follow-up Practice Exercises
ACTIVITY 8 tens rods with expanded form
ACTIVITY 9 multiple activities
ACTIVITY 12 type in correct answers
ACTIVITY 14 value of underlined digit
Subject:
Mathematics
Grade
Level: 3
Topic:
Expanded Form
Objective:
By the end of the lesson, students will be able to write and read numbers up to
4 digits in expanded notation.
Standards:
- Number and Operations in Base Ten: Understand place
value.
Materials Needed:
- Whiteboard and markers
- Place value mats (thousands, hundreds, tens, ones)
- Digit cards or dice (optional)
- Worksheet for practice
- Manipulatives such as base ten blocks
- Projector
- Students’ Chromebooks
- Teacher’s blogsite
(janicebowes3.blogspot.com )
Lesson
Plan Outline (5E Model)
Engage
(5 minutes)
Objective: Introduce the concept and activate prior knowledge.
- Begin with a quick review of place value (thousands,
hundreds, tens, and ones).
- Ask students, "What does each digit represent in
the number 3,456?"
- Show a number on the board (e.g., 2,345) and ask
students what they notice about the digits.
- Introduce expanded notation using an example like 2,345
= 2,000 + 300 + 40 + 5.
Explore
(10 minutes)
Objective: Allow students to manipulate and explore numbers in
expanded notation.
- Hand out base ten blocks or place value charts.
- Write a few 4-digit numbers on the board (e.g., 1,234;
5,678).
- Ask students to represent each number using base ten
blocks.
- Guide them as they expand the number by saying aloud
each component (e.g., 5,678 = 5,000 + 600 + 70 + 8).
- Watch a video clip from teacher’s blogsite which
further clarifies topic in question.
- Complete an oral activity from the blogsite.
Explain
(15 minutes)
Objective: Formal explanation and guided practice on expanded
notation.
- Write a few examples on the board, such as:
- 3,254 = 3,000 + 200 + 50 + 4
- 7,681 = 7,000 + 600 + 80 + 1
- Ask students to break the numbers down with the help of
place value charts or base ten blocks.
- Write numbers and ask students to say the expanded form
aloud as a class.
- Introduce an interactive activity where students work
in pairs to write 3-4 examples of 4-digit numbers in expanded form.
- Provide examples from the blogsite for further support.
Elaborate
(15 minutes)
Objective: Students independently apply their knowledge to new
problems.
- Hand out a worksheet with several 4-digit numbers.
- Students will write the expanded form of each number.
- For differentiation, give some students numbers up to 3
digits to practice.
- Circulate around the classroom to check on
understanding and provide support.
Challenge Activity (for early
finishers):
- Have students create their own 4-digit number and write
the expanded form on a mini whiteboard or notebook. Then, they can swap
with a partner to check each other’s work.
- Complete activities from teacher’s blogsite on their
own and check their scores.
Evaluate
(10 minutes)
Objective: Assess students' understanding through tiered evaluation.
- Tier 1 (Basic):
- Give students a 4-digit number and ask them to write
its expanded notation on their exit ticket (e.g., 4,567).
- Expected response: 4,000 + 500 + 60 + 7
- Tier 2 (Intermediate):
- Provide numbers with missing parts of expanded
notation (e.g., 3,000 + ___ + 70 + 6). Ask students to fill in the
blanks. (3376)
- Expected response: 300
- Tier 3 (Advanced):
- Provide the expanded form of a number and ask students
to write the standard number (e.g., 7,000 + 200 + 50 + 3).
- Expected response: 7,253
Closing:
- Briefly review the day's objective and key takeaways.
- Ask students to share one thing they learned about
expanded notation.
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