Lesson Plan
Show Me 28!
Students will be able to represent the number 28 in two different ways using place value concepts (tens and ones).
Understanding different ways to represent numbers is crucial for developing strong number sense and building a foundation for more complex math operations. This lesson helps students visualize and manipulate numbers.
Audience
2nd Grade
Time
30 minutes
Approach
Hands-on exploration and guided practice with manipulatives and a worksheet.
Materials
Small whiteboards and markers, Base Ten Blocks (2 tens, 8 ones per student/pair), Show Me 28! Slide Deck, Show Me 28! Script, Show Me 28! Worksheet, and Show Me 28! Answer Key
Prep
Gather Materials & Review
10 minutes
- Gather small whiteboards and markers for each student/pair.
- Prepare enough Base Ten Blocks for each student or pair to have 2 tens rods and 8 unit cubes.
- Review the Show Me 28! Slide Deck and the Show Me 28! Script.
- Print copies of the Show Me 28! Worksheet.
- Review the Show Me 28! Answer Key.
Step 1
Warm-Up: What's 28?
5 minutes
- Display Slide 1 of the Show Me 28! Slide Deck.
- Ask students: "What do you know about the number 28?" (Use the Show Me 28! Script for guiding questions.)
- Have students share their ideas (e.g., it has a 2 and an 8, it's bigger than 20, etc.).
Step 2
Explore with Base Ten Blocks
10 minutes
- Distribute Base Ten Blocks to each student/pair.
- Display Slide 2 of the Show Me 28! Slide Deck.
- Instruct students to use the blocks to show the number 28. (Guide them to use 2 tens and 8 ones first, then challenge them to find another way, e.g., 1 ten and 18 ones, or 28 ones). Refer to the Show Me 28! Script.
- Facilitate discussion on the different representations.
Step 3
Worksheet Practice
10 minutes
- Distribute the Show Me 28! Worksheet.
- Display Slide 3 of the Show Me 28! Slide Deck.
- Instruct students to complete the worksheet, showing two different ways to represent 28.
- Circulate to provide support and check for understanding. Refer to the Show Me 28! Script.
Step 4
Share and Reflect
5 minutes
- Display Slide 4 of the Show Me 28! Slide Deck.
- Invite students to share their two different ways of showing 28 from their worksheets.
- Discuss why knowing different ways to show numbers is helpful.
- Collect worksheets. (See Show Me 28! Answer Key for grading support.)
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Slide Deck
What Do You Know About 28?
Let's explore the number 28!
Greet students and introduce the topic of the number 28. Ask open-ended questions to activate prior knowledge.
Building 28 with Blocks
Use Base Ten Blocks to show the number 28.
Can you find two different ways to show it?
Distribute Base Ten Blocks. Guide students to show 28 in a standard way (2 tens, 8 ones) and then challenge them to find another way (e.g., 1 ten, 18 ones; or 28 ones). Emphasize that the total value remains 28.
Draw Your Ways!
Now, let's draw two different ways to show the number 28 on your worksheet.
Distribute the worksheet. Explain that they will draw their two different ways to represent 28. Remind them to think about tens and ones.
Sharing Our Strategies
What were your two different ways to show 28?
Why is it helpful to know different ways to represent numbers?
Facilitate a short discussion, inviting students to share their work. Reinforce the concept of place value and why different representations are useful.
Script
Show Me 28! Script
Warm-Up: What's 28? (5 minutes)
Teacher: "Good morning, mathematicians! Today, we're going on a number adventure with the number 28! Take a look at the slide. What do you notice about the number 28? What comes to mind when you see it? Turn and talk to a partner for a moment, then we'll share."
(Allow students to discuss. Call on a few students to share.)
Teacher: "Those are great observations! Some of you noticed it has a 2 and an 8, and some said it's a 'teen' number, or bigger than 20. Today, we're going to become experts at showing 28 in more than one way!"
Explore with Base Ten Blocks (10 minutes)
Teacher: "Alright, everyone, I'm going to give each of you, or your partners, some special blocks called Base Ten Blocks. We have 'tens' sticks and 'ones' cubes. Your first challenge is to use these blocks to show the number 28. How would you represent 28 using these blocks?"
(Circulate and observe. Most students will likely use 2 tens and 8 ones.)
Teacher: "I see many of you have made 28 using two 'tens' sticks and eight 'ones' cubes. That's one excellent way! Now, here's the tricky part: Can you find another different way to show the number 28 using these same blocks? Think about what happens if we break apart one of our 'tens' sticks."
(Guide students to explore breaking a ten into ten ones. Look for representations like 1 ten and 18 ones, or even 28 ones. Encourage those who are stuck by asking, "What if you didn't use a 'tens' stick? How else could you make 10?")
Teacher: "Wow, look at all these different ways! Who can share one of their new ways to show 28? Why is it still 28, even though it looks different?"
(Facilitate a short discussion, emphasizing that the value remains the same even with different groupings of tens and ones.)
Worksheet Practice (10 minutes)
Teacher: "You all did a fantastic job exploring with the blocks! Now, we're going to put your thinking onto paper. I'm handing out a worksheet. On this sheet, you will draw two different ways to show the number 28. You can use circles for tens and small dots for ones, or draw sticks and cubes, just like our blocks."
*(Distribute the Show Me 28! Worksheet.)
Teacher: "Remember the different ways we just made 28 with our blocks? Try to draw two of those ways, or even come up with a new one! I'll be walking around to help if you need it."
(Circulate, provide individual support, and answer questions. Remind students to clearly label or explain their drawings if needed.)
Share and Reflect (5 minutes)
Teacher: "Alright, let's bring our attention back up here. Who would like to share one of the ways they drew 28 on their worksheet? And who has a different way to share?"
(Call on several students to share their drawings. Discuss any unique or creative representations.)
Teacher: "Fantastic work, everyone! You've shown that the number 28 can look different but still have the same value. Why do you think it's important for us to know how to show numbers in different ways? How might this help us in math?"
(Guide students to connect it to adding, subtracting, or understanding bigger numbers.)
Teacher: "Excellent job today, future mathematicians! You are now experts at showing the number 28 in more than one way. Great work! Please turn in your worksheets."
Worksheet
Show Me 28! Worksheet
Name: _________________________
Date: __________________________
Instructions:
Show two different ways to represent the number 28. You can use drawings of tens and ones (sticks and circles, or squares and dots).
Way 1:
Way 2:
Answer Key
Show Me 28! Answer Key
Example Solutions:
Students should demonstrate two different valid representations of the number 28 using place value concepts (tens and ones).
Acceptable representations include:
Way 1 (Standard Representation):
- Drawing: 2 tens (e.g., two sticks or two rectangles) and 8 ones (e.g., eight dots or eight small squares).
- Explanation: This shows 2 tens and 8 ones, which equals 20 + 8 = 28.
Way 2 (Alternative Representations - choose one):
- Drawing: 1 ten (e.g., one stick or one rectangle) and 18 ones (e.g., eighteen dots or eighteen small squares).
- Explanation: This shows 1 ten and 18 ones. Since 10 ones make a ten, 10 + 18 = 28.
OR
- Drawing: 28 ones (e.g., twenty-eight dots or twenty-eight small squares).
- Explanation: This shows 28 individual units, where 28 ones is equal to 28.
Grading Considerations:
- Accuracy: Do the drawings correctly represent the quantity of 28?
- Difference: Are the two representations genuinely different in their grouping of tens and ones?
- Clarity: Are the drawings clear enough to understand the student's intention?
- Understanding: Does the student demonstrate an understanding of place value by showing how tens can be regrouped into ones?