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Adding Two-Digit Numbers

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Lesson Plan

Adding Two-Digit Numbers

Students will be able to represent and solve addition problems (OA.1) through spiral review and use a variety of strategies to add a two-digit number to a one-digit number (NBT.4).

Understanding how to add two-digit and one-digit numbers is a fundamental building block for all future math. This lesson will equip students with diverse strategies, making math approachable and building confidence.

Audience

1st Grade Students

Time

2 sessions, 50 minutes each

Approach

Through a 'I Do, We Do, You Do' approach, students will build conceptual understanding and practice.

Materials

Day 1: Warm-Up: Add It Up!, Adding Two-Digit Numbers Slide Deck, Teacher Script: Adding Two-Digit Numbers Day 1, Worksheet: Tens and Ones Toss, Base-ten blocks or drawings, Whiteboards and markers, Dice, Paper clips, Pencils, Day 2: Warm-Up: Number Line Hopping, Adding Two-Digit Numbers Slide Deck, Teacher Script: Adding Two-Digit Numbers Day 2, Worksheet: Expand and Add, Base-ten blocks or drawings, Whiteboards and markers, and Pencils

Prep

Teacher Preparation

20 minutes

Step 1

Day 1: Introduction to Adding 2-Digit and 1-Digit Numbers

50 minutes

Warm-Up (5 minutes)

  • Distribute Warm-Up: Add It Up! to students.
  • Have students complete the simple addition problems to activate prior knowledge of OA.1.
  • Quickly review answers as a class.

Whole Group Lesson: 'I Do, We Do' (15 minutes)

Small Group Activity: 'You Do' (30 minutes)

  • Divide students into small groups.
  • Distribute Worksheet: Tens and Ones Toss, dice, and paper clips.
  • Explain the game: students roll dice to create a two-digit number, then spin a paper clip to get a one-digit number, and add them together. They record their work and answers on the worksheet. This reinforces NBT.4 in a fun, interactive way.
  • Circulate among groups, providing support and guidance.
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Slide Deck

Warm-Up: Add It Up!

Let's get our brains warmed up with some quick addition!

  1. 4 + 3 = ?
  2. 6 + 2 = ?
  3. 5 + 5 = ?

Show your work on your whiteboard!

Introduce the warm-up, remind students about addition, and encourage them to show their work.

I Do: Adding with Base-Ten Blocks

Today, we're going to learn how to add a two-digit number to a one-digit number!

Let's try 12 + 5.

  • How many tens in 12? How many ones?
  • How many ones are we adding?
  • Let's count them all together!

Introduce the main objective for NBT.4. Emphasize that we are adding a small number to a bigger number. Use base-ten blocks to model 12 + 5. First, show 1 ten and 2 ones for 12, then add 5 more ones. Count all the ones. Then show counting on from 12: 13, 14, 15, 16, 17.

I Do: Counting On

Another way to add 12 + 5 is to count on.

  • Start at 12.
  • Count on 5 more: 13, 14, 15, 16, 17.
  • So, 12 + 5 = 17!

Show how to count on. Start at 12 and count up 5 more fingers or taps.

We Do: Base-Ten Blocks Practice

Now, let's do one together!

Try 23 + 4.

  • Draw your base-ten blocks for 23.
  • Add 4 more ones.
  • What is your total?

Guide students through 23 + 4. Have them use their own base-ten blocks or draw them. Ask questions like: 'How many tens do we start with? How many ones? How many more ones do we add?'

We Do: Counting On Practice

Let's try counting on for 35 + 3.

  • Start at 35.
  • Count on 3 more.
  • What number do you land on?

Guide students through 35 + 3 using counting on. Ask them to verbalize counting on.

You Do: Quick Check

On your whiteboards, solve:

  1. 14 + 3 = ?
  2. 21 + 6 = ?

Show your strategy!

Quick check for understanding. Have students work independently on whiteboards.

Warm-Up: Number Line Hopping!

Let's hop on the number line to add!

  1. Start at 5, hop 3 times. Where do you land? (5 + 3 = ?)
  2. Start at 7, hop 2 times. Where do you land? (7 + 2 = ?)
  3. Start at 4, hop 4 times. Where do you land? (4 + 4 = ?)

Introduce the warm-up for Day 2. Focus on number line hopping for basic addition.

I Do: Adding with a Number Line

Today, we'll try adding a two-digit number and a one-digit number using a number line!

Let's try 16 + 3.

  • Find 16 on your number line.
  • Make 3 hops forward.
  • Where do you land?

Introduce the number line strategy for 16 + 3. Start at 16, make 3 hops. Point out how it's similar to counting on.

I Do: Expanded Form

Another strategy is using expanded form.

Let's add 24 + 5.

  • Break apart 24: 20 + 4.
  • Add the ones: 4 + 5 = 9.
  • Put it back together: 20 + 9 = 29.
  • So, 24 + 5 = 29!

Model expanded form for 24 + 5. Break 24 into 20 + 4, then add 5 to the 4. Then combine 20 + 9. Emphasize that we are only adding the ones.

We Do: Number Line Practice

Let's use a number line for 11 + 7.

  • Start at 11.
  • Hop 7 times.
  • What's your answer?

Guide students through 11 + 7 using a number line. Have them draw or visualize.

We Do: Expanded Form Practice

Now, let's try expanded form for 31 + 6.

  • Break apart 31.
  • Add the ones.
  • Put it back together!
  • What do you get?

Guide students through 31 + 6 using expanded form. Ask them to explain each step.

Cool-Down: Show Your Strategy!

On a piece of paper, solve 15 + 4.

Show me two different ways you can solve this problem!

What strategy did you like best and why?

Students practice independently for the cool-down. This helps assess their understanding of different strategies.

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Script

Teacher Script: Adding Two-Digit Numbers Day 1

Warm-Up: Add It Up! (5 minutes)

"Good morning, mathematicians! Let's get our brains ready for some super addition work today. On your whiteboards, I want you to quickly solve these three problems. Show me how you get your answer!"

(Display Warm-Up: Add It Up! on the slide deck or write on the board.)

  1. 4 + 3 = ?
  2. 6 + 2 = ?
  3. 5 + 5 = ?

"Alright, let's see some answers! Can someone tell me how they solved 4 + 3? What about 6 + 2? And 5 + 5? Fantastic! You all remember how to add small numbers, which is great because today we're going to make our numbers a little bigger!"

Whole Group Lesson: I Do (15 minutes)

"Today, we're going to learn how to add a two-digit number to a one-digit number. This is a super important skill that will help us with even bigger math problems later on!"

(Display Adding Two-Digit Numbers Slide Deck - Slide 2: I Do: Adding with Base-Ten Blocks)

"Let's look at the problem 12 + 5. I want to add these numbers together. I can use my base-ten blocks to help me. First, I have the number 12. How many tens are in 12? One! And how many ones? Two! So I have one ten block and two individual ones blocks."

(Model with actual base-ten blocks or draw on the board)

"Now, I need to add 5. Five is a one-digit number, so it's 5 ones. I'm going to add five more ones blocks to my group of blocks."

(Add 5 more ones blocks/drawings)

"Now, let's count all our ones together. We had 2 ones, and we added 5 more. So 2 + 5 is... 7! And how many tens do we still have? Just one! So, 1 ten and 7 ones makes... 17! So, 12 + 5 = 17."

(Display Adding Two-Digit Numbers Slide Deck - Slide 3: I Do: Counting On)

"Another way I can think about 12 + 5 is to count on. This means I start at the bigger number, 12, and then count up 5 more. Let's try it with our fingers. Start at 12. Put up one finger for each count: 13, 14, 15, 16, 17. See? We landed on 17 again! Both ways give us the same answer!"

Whole Group Lesson: We Do (15 minutes)

"Now that you've seen me do it, let's try some problems together! Get your whiteboards and markers ready. You can use your base-ten blocks if you have them, or you can draw them on your whiteboard."

(Display Adding Two-Digit Numbers Slide Deck - Slide 4: We Do: Base-Ten Blocks Practice)

"Let's try 23 + 4. How would we show 23 with base-ten blocks? Yes, two tens and three ones! Now, add four more ones to your drawing or your blocks. How many ones do you have now in total? Three plus four is seven! So we have two tens and seven ones. What number is that? 27! Great job!"

(Display Adding Two-Digit Numbers Slide Deck - Slide 5: We Do: Counting On Practice)

"Okay, let's try counting on for this next one: 35 + 3. Remember, we start at the bigger number, 35, and count on 3 more. Let's do it out loud together: 35... 36, 37, 38! So, 35 + 3 = 38! You're getting the hang of it!"

(Display Adding Two-Digit Numbers Slide Deck - Slide 6: You Do: Quick Check)

"Here are two problems for you to try on your whiteboards by yourselves. Show me your strategy!"

  1. 14 + 3 = ?
  2. 21 + 6 = ?

(Circulate and provide support. Briefly review answers and strategies.)

Small Group Activity: You Do (30 minutes)

"You all did a wonderful job with those! Now, we're going to move into our small groups for an activity called Worksheet: Tens and Ones Toss. In your groups, you will need dice, a paper clip, and your worksheet."

"Here's how we play: One person will roll two dice to make a two-digit number. For example, if you roll a 3 and a 5, you can make 35 or 53. Choose one! Then, you'll use a paper clip and a pencil to spin the spinner on your worksheet to get a one-digit number. Add your two-digit number and your one-digit number together, and record your work and answer on your worksheet."

"You'll take turns, and each of you will get to practice adding two-digit and one-digit numbers using the strategies we just learned. I'll be walking around to help anyone who needs it. Work together, and have fun adding!"

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Warm Up

Warm-Up: Add It Up!

Solve the addition problems below. Show your work or explain your thinking!

  1. 4 + 3 =


  2. 6 + 2 =


  3. 5 + 5 =


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lenny

Worksheet

Tens and Ones Toss!

Instructions:

  1. Roll two dice to make a two-digit number. Write it in the first box.
  2. Spin the spinner (use a paper clip and pencil) to get a one-digit number. Write it in the second box.
  3. Add the two numbers together. You can draw base-ten blocks, count on, or use any strategy you like!
  4. Write your answer.

Spinner for One-Digit Numbers:

  • Spin 1: 2
  • Spin 2: 4
  • Spin 3: 1
  • Spin 4: 5
  • Spin 5: 3
  • Spin 6: 6

(Students can draw a simple spinner with these numbers, or the teacher can provide one.)


Let's Play!

  1. My two-digit number:



    My one-digit number:



    My work/drawing:












    My answer:


  2. My two-digit number:



    My one-digit number:



    My work/drawing:












    My answer:


  3. My two-digit number:



    My one-digit number:



    My work/drawing:












    My answer:


  4. My two-digit number:



    My one-digit number:



    My work/drawing:












    My answer:


  5. My two-digit number:



    My one-digit number:



    My work/drawing:












    My answer:


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Script

Teacher Script: Adding Two-Digit Numbers Day 2

Warm-Up: Number Line Hopping! (5 minutes)

"Welcome back, mathematicians! Let's get our brains moving with a quick warm-up using a number line today!"

(Display Adding Two-Digit Numbers Slide Deck - Slide 7: Warm-Up: Number Line Hopping!)

"On your whiteboards, I want you to draw a small number line for each of these problems and show your hops to find the answer. Remember, when we add, we hop forward!"

  1. Start at 5, hop 3 times. Where do you land? (5 + 3 = ?)
  2. Start at 7, hop 2 times. Where do you land? (7 + 2 = ?)
  3. Start at 4, hop 4 times. Where do you land? (4 + 4 = ?)

"Alright, let's share our answers! Who can tell me how they solved 5 + 3 using their number line? How about 7 + 2? And 4 + 4? Excellent work! You're all experts at using number lines for addition, which is a great strategy we'll use more today!"

Whole Group Lesson: I Do (15 minutes)

"Yesterday, we learned how to add two-digit numbers to one-digit numbers using base-ten blocks and counting on. Today, we're going to explore two more helpful strategies: using a number line and expanded form!"

(Display Adding Two-Digit Numbers Slide Deck - Slide 8: I Do: Adding with a Number Line)

"Let's look at 16 + 3. We can use a number line to solve this. First, I find 16 on my number line. Since I'm adding 3, I'm going to make 3 hops forward on the number line. Watch me! Start at 16, then hop 1... (land on 17), hop 2... (land on 18), hop 3... (land on 19)! So, 16 + 3 = 19."

(Model drawing a number line and showing hops on the board or projector.)

(Display Adding Two-Digit Numbers Slide Deck - Slide 9: I Do: Expanded Form)

"Now, for a super smart strategy called expanded form. This means we break apart the two-digit number into its tens and ones. Let's try 24 + 5.

First, I take the number 24. In expanded form, 24 is 20 + 4, right? It has two tens and four ones.

Now, I'm adding 5. The 5 is a one-digit number, so it's 5 ones. I only add ones to ones! So, I'll add the 4 ones from 24 to the 5 ones. What's 4 + 5? It's 9!"

"So now I have 20 (from the tens in 24) plus 9 (from the ones). What's 20 + 9? That's 29! So, 24 + 5 = 29! This strategy helps us see the tens and ones clearly."

Whole Group Lesson: We Do (15 minutes)

"You've seen me use a number line and expanded form. Now, let's try some together! Get your whiteboards ready."

(Display Adding Two-Digit Numbers Slide Deck - Slide 10: We Do: Number Line Practice)

"Okay, for 11 + 7, let's use a number line. Draw a number line on your whiteboard. Find 11. Now, make 7 hops forward. Talk with your shoulder partner: Where do you land? What's 11 + 7? Shout it out when you know! (Expected: 18) Fantastic!"

(Display Adding Two-Digit Numbers Slide Deck - Slide 11: We Do: Expanded Form Practice)

"Now, for 31 + 6, let's try expanded form. How would you break apart 31? Yes, 30 + 1. Now, what do you add the 6 to? The 1! What's 1 + 6? Seven! So, we have 30 + 7. What does that make? 37! Amazing job, everyone!"

Small Group Activity: You Do (30 minutes)

"You are doing great with these different strategies! For our small group activity today, we're going to work on a Worksheet: Expand and Add. This worksheet will give you practice breaking numbers apart and adding the ones, just like we did with expanded form."

"In your groups, you'll work together to solve the problems. Remember to first break apart the two-digit number, then add the ones, and finally put the numbers back together to find your total. I will be around to support you and answer any questions. You can also use base-ten blocks or a number line if that helps you visualize the numbers!"

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Warm Up

Warm-Up: Number Line Hopping!

Draw a number line for each problem and show your hops to solve.

  1. Start at 5, hop 3 times forward. Where do you land?






  2. Start at 7, hop 2 times forward. Where do you land?






  3. Start at 4, hop 4 times forward. Where do you land?






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Worksheet

Worksheet: Expand and Add!

Instructions:
Break apart the two-digit number into tens and ones. Then, add the ones together. Finally, put the tens and new ones back together to find your answer!

Example:
12 + 5 = ?

  • Break apart 12: 10 + 2
  • Add the ones: 2 + 5 = 7
  • Put it back together: 10 + 7 = 17
  • Answer: 17

Let's Practice!

  1. 13 + 4 = ?

    • Break apart 13:


    • Add the ones:


    • Put it back together:


    • Answer:


  2. 21 + 7 = ?

    • Break apart 21:


    • Add the ones:


    • Put it back together:


    • Answer:


  3. 35 + 2 = ?

    • Break apart 35:


    • Add the ones:


    • Put it back together:


    • Answer:


  4. 40 + 8 = ?

    • Break apart 40:


    • Add the ones:


    • Put it back together:


    • Answer:


  5. 26 + 3 = ?

    • Break apart 26:


    • Add the ones:


    • Put it back together:


    • Answer:


  6. 18 + 1 = ?

    • Break apart 18:


    • Add the ones:


    • Put it back together:


    • Answer:


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