Double-Digit Dash: Script for Teachers

Warm-Up: Brain Scramble (5 minutes)

"Good morning/afternoon, math adventurers! Let's get our brains ready for some number fun today. I have a quick brain scramble for you. On your scratch paper or in your head, quickly solve these problems: "

• "What is 7 + 5?"
  
  
  (Wait for responses, affirm correct answers.)
• "How about 12 - 4?"
  
  
  (Wait for responses, affirm correct answers.)
• "What strategy did you use for that one?"
  
  
  (Encourage brief sharing. For students who struggled, gently prompt them to count on fingers or visualize. For IEPs, ensure manipulatives or number lines are available if this is a specified accommodation.)

"Great job! You're already showing off your math muscles. Today, we're going to build on those muscles and take on something a little bigger: double-digit addition and subtraction!"

Introduction: What's the Big Deal with Double Digits? (5 minutes)

"(Display Slide 1: Double-Digit Dash: Ready, Set, Add & Subtract!)

"Take a look at our goal for today! We're going to learn how to add and subtract numbers with two digits. Don't worry, it's just like what we already know, but with an extra step!"

"(Display Slide 2: Place Value Power!)

"Before we jump in, let's remember our friend, place value. Who can remind me what place value means?"


(Wait for student responses. Guide them to explain that the position of a digit gives it its value.)

"Exactly! Every number has a special job depending on where it sits. We have the ones place on the right, and the tens place on the left. Can you say that with me? Ones on the right, tens on the left!"

"(Point to examples on the slide or whiteboard, e.g., in the number 34, the 4 is in the ones place, and the 3 is in the tens place, meaning 3 tens or 30.)"

"Now, here's a super important rule for double-digit math: We ALWAYS start with the ones place! Think of it like building a tower; you start at the bottom. We'll add or subtract the ones first, then we move to the tens."

"(Display Slide 3: Adding Up Double Digits!)

"Let's try an addition problem together. Look at the example on the screen: 23 + 14. What's the very first thing we do?"


(Wait for 'add the ones'.)

"That's right! We look at our ones column: 3 + 4. What does 3 + 4 equal?"


(Wait for '7'.)

"Excellent! We write down 7 in the ones place of our answer. Now that the ones are done, what's our next step?"


(Wait for 'add the tens'.)

"You got it! Now we look at our tens column: 2 + 1. What does 2 + 1 equal?"


(Wait for '3'.)

"Fantastic! We write down 3 in the tens place. So, 23 + 14 equals... 37! See? We added the ones, then the tens. No regrouping needed here today, which means no carrying over numbers! (For students with learning disabilities, demonstrate with base ten blocks: 2 tens and 3 ones, plus 1 ten and 4 ones, physically combining the ones then the tens.)"

"(Display Slide 4: Subtracting Double Digits!)

"Subtraction works the same way! Look at the example: 45 - 21. What's our first step?"


(Wait for 'subtract the ones'.)

"You're quick today! We subtract the ones: 5 - 1. What's that?"


(Wait for '4'.)

"Perfect! Write 4 in the ones place. Now, what's next?"


(Wait for 'subtract the tens'.)

"Exactly! The tens column: 4 - 2. What's 4 - 2?"


(Wait for '2'.)

"Wonderful! Write 2 in the tens place. So, 45 - 21 equals... 24! Again, no regrouping, just straight subtraction down the columns. (For students with learning disabilities, use base ten blocks: start with 4 tens and 5 ones, then physically remove 1 one and 2 tens.)"

Guided Practice: Let's Do It Together! (5 minutes)

"(Display Slide 5: Your Turn to Practice!)

"You are all doing an amazing job! Now it's time to get a little more hands-on. I'm going to hand out your Double-Digit Dash Worksheet. Don't start just yet! We're going to do the first few problems together."

"(Distribute the worksheet.)"

"Let's look at problem number 1 on your worksheet. It's an addition problem. Who can read it for us?"


(Call on a student to read.)

"Great! Now, remembering our rule, what do we do first?"


(Guide them to start with the ones column.)

"What's the answer for the ones column?"


(Guide them to the correct sum.)

"And then the tens column?"


(Guide them to the correct sum.)

"Fantastic! We've solved problem 1. Let's try problem 2, which is a subtraction problem. (Repeat the guided process for problem 2.)"

"Now, I want to hear from you. What strategies are you using to make sure you get the right answer? Are you counting on your fingers? Drawing small circles? Thinking about place value? Turn and talk to a partner for about 30 seconds about your strategy."


(Allow discussion, then bring the class back together. Prompt a few students to share their strategies. Refer to Double-Digit Discussion Prompts for additional ideas. For IEPs, encourage the use of specific strategies noted in their plan, such as using a calculator for checking work if appropriate, or using a reference sheet for addition/subtraction facts.)"

Independent Practice: Double-Digit Shuffle Activity (10 minutes)

"You're becoming double-digit dynamos! Now it's time for some independent practice and a fun game to really solidify what we've learned."

"First, I'm going to give you a set of Double-Digit Shuffle Activity Cards. Your task is to match each problem card with its correct answer card. You can work by yourself or with a partner. Take about 5 minutes for this."


(Distribute activity cards. Circulate, provide support, and offer hints. For students with learning disabilities, provide fewer cards or pre-sort some of the matches.)"

"Alright, gather your attention back here! Let's transition to our game. We're going to play the Math Fact Race Game Board. I'll explain the rules quickly, and then we'll get started!"

"(Explain game rules clearly, as per the game board instructions. Monitor gameplay, providing assistance as needed.)"

Cool Down: One Last Dash (5 minutes)

"Wow, what a dash through double digits! For our cool-down, I have a Double-Digit Quick Quiz for you. This is just a super quick check to see what you remember from today. Do your best!"

"(Distribute the quiz. Allow students to complete it independently. Collect upon completion.)"

"Great work today, everyone! You've shown incredible focus and mathematical thinking. We'll continue our double-digit adventure next time!"

Warm Up: Brain Scramble

Solve these problems as quickly as you can! Show your work or write your answer in the space provided.

1. 7 + 5 =
   
   
   

2. 12 - 4 =
   
   
   

3. 9 + 8 =
   
   
   

4. 15 - 6 =
   
   
   

Challenge Question:

If you have 10 apples and your friend gives you 10 more, how many apples do you have in total?

Double-Digit Dash: Practice Worksheet

Instructions: Solve each problem. Remember to start with the ones place first, then move to the tens place. Show your work!

Addition Problems

1.   15
   + 12
   ----
   

   
   
   
   
   
   
   

2.   21
   + 36
   ----
   

   
   
   
   
   
   
   

3.   40
   + 28
   ----
   

   
   
   
   
   
   
   

4.   53
   + 14
   ----
   

   
   
   
   
   
   
   

5.   32
   + 45
   ----
   

   
   
   
   
   
   
   

Subtraction Problems

6.   38
   - 16
   ----
   

   
   
   
   
   
   
   

7.   49
   - 23
   ----
   

   
   
   
   
   
   
   

8.   57
   - 30
   ----
   

   
   
   
   
   
   
   

9.   64
   - 12
   ----
   

   
   
   
   
   
   
   

10.   77
    - 44
    ----
    

    
    
    
    
    
    
    

Double-Digit Discussion Prompts

Let's talk about our double-digit math adventure! Share your thoughts with a partner or the class.

1. What was the most important rule to remember when adding or subtracting double-digit numbers today?
   
   
   
   

2. Why do we start with the ones place instead of the tens place when we solve these problems?
   
   
   
   

3. What strategy did you use today to help you solve the problems? Did you use your fingers, draw pictures, or something else?
   
   
   
   

4. If your friend was having trouble with 25 + 13, what advice would you give them?
   
   
   
   

5. How is solving double-digit problems like 20 + 30 different from solving problems like 25 + 32? (Hint: Think about what we learned today!)
   
   
   
   

Double-Digit Shuffle Activity: Match Up!

Instructions: Cut out all the cards below. Shuffle them well! Your goal is to match each Problem Card with its correct Answer Card. Work carefully and check your work!

Problem Cards (Cut these out!)

Card A

  13
+ 24
----

Card B

  47
- 15
----

Card C

  50
+ 38
----

Card D

  69
- 23
----

Card E

  31
+ 42
----

Card F

  85
- 40
----

Card G

  26
+ 11
----

Card H

  78
- 32
----

Answer Cards (Cut these out!)

Answer 1

37

Answer 2

32

Answer 3

88

Answer 4

46

Answer 5

73

Answer 6

45

Answer 7

37

Answer 8

46

Note: There are two sets of problem/answer cards that result in 37 and 46 to encourage careful calculation and attention to detail. This also provides an opportunity to discuss how different problems can have the same answer.

Math Fact Race: Double-Digit Edition!

Players: 2-4

Materials:

• Math Fact Race Game Board (this document)
• Game pieces for each player (buttons, small erasers, etc.)
• One die
• Scratch paper and pencils
• Answer Key for Worksheets and Assessments (for checking answers)

Objective: Be the first player to reach the "FINISH" space by correctly solving double-digit addition and subtraction problems.

How to Play:

1. Each player chooses a game piece and places it on the "START" space.
2. The youngest player goes first. Play then proceeds clockwise.
3. On your turn, roll the die and move your game piece that many spaces along the path.
4. When you land on a space, you must solve the double-digit math problem on that space (or the problem indicated by the space).
   • Write the problem and your answer on your scratch paper.
   • If you land on a blank space, draw a card from a pre-made pile of extra double-digit problems (teacher can prepare these or use extra problems from the worksheet/activity).
5. Have another player (or the teacher, if available) check your answer using the Answer Key for Worksheets and Assessments.
6. If your answer is correct: You stay on that space.
7. If your answer is incorrect: You must move back to your previous space.
8. The first player to land exactly on the "FINISH" space and correctly solve the problem on it wins!

Game Board (Draw your path here or use a printed board!)

START

---> Space 1: 11 + 23 =

---> Space 2: 45 - 12 =

---> Space 3: 30 + 17 =

---> Space 4: 58 - 24 =

---> Space 5: 22 + 36 =

---> Space 6: 79 - 35 =

---> Space 7: 14 + 61 =

---> Space 8: 88 - 53 =

---> Space 9: 43 + 25 =

---> Space 10: 92 - 71 =

---> Space 11: 33 + 33 =

---> Space 12: 67 - 40 =

FINISH


Adaptation for IEPs: For students who need more support, allow them to use a number line or base ten blocks during the game. Provide a smaller game board with fewer spaces, or allow them to move forward even with an incorrect answer but without earning points, focusing on participation and effort.

Answer Key for Double-Digit Dash Materials

Warm Up: Brain Scramble

1. 7 + 5 = 12
   • Thought Process: Start with 7, count up 5: 8, 9, 10, 11, 12.
2. 12 - 4 = 8
   • Thought Process: Start at 12, count back 4: 11, 10, 9, 8.
3. 9 + 8 = 17
   • Thought Process: Make a ten strategy: 9+1=10, 10+7=17.
4. 15 - 6 = 9
   • Thought Process: Subtract to 10: 15-5=10, 10-1=9.
5. Challenge Question: If you have 10 apples and your friend gives you 10 more, how many apples do you have in total? 20 apples
   • Thought Process: 10 + 10 = 20. This is a simple double-digit addition without regrouping, reinforcing the concept.

Double-Digit Dash Worksheet

Addition Problems

1. 15 + 12 = 27
   • Thought Process: Ones: 5+2=7. Tens: 1+1=2. Result: 27.
2. 21 + 36 = 57
   • Thought Process: Ones: 1+6=7. Tens: 2+3=5. Result: 57.
3. 40 + 28 = 68
   • Thought Process: Ones: 0+8=8. Tens: 4+2=6. Result: 68.
4. 53 + 14 = 67
   • Thought Process: Ones: 3+4=7. Tens: 5+1=6. Result: 67.
5. 32 + 45 = 77
   • Thought Process: Ones: 2+5=7. Tens: 3+4=7. Result: 77.

Subtraction Problems

6. 38 - 16 = 22
   • Thought Process: Ones: 8-6=2. Tens: 3-1=2. Result: 22.
7. 49 - 23 = 26
   • Thought Process: Ones: 9-3=6. Tens: 4-2=2. Result: 26.
8. 57 - 30 = 27
   • Thought Process: Ones: 7-0=7. Tens: 5-3=2. Result: 27.
9. 64 - 12 = 52
   • Thought Process: Ones: 4-2=2. Tens: 6-1=5. Result: 52.
10. 77 - 44 = 33
    • Thought Process: Ones: 7-4=3. Tens: 7-4=3. Result: 33.

Double-Digit Shuffle Activity Cards

• Card A (13 + 24): 37
  • Thought Process: Ones: 3+4=7. Tens: 1+2=3. Result: 37.
• Card B (47 - 15): 32
  • Thought Process: Ones: 7-5=2. Tens: 4-1=3. Result: 32.
• Card C (50 + 38): 88
  • Thought Process: Ones: 0+8=8. Tens: 5+3=8. Result: 88.
• Card D (69 - 23): 46
  • Thought Process: Ones: 9-3=6. Tens: 6-2=4. Result: 46.
• Card E (31 + 42): 73
  • Thought Process: Ones: 1+2=3. Tens: 3+4=7. Result: 73.
• Card F (85 - 40): 45
  • Thought Process: Ones: 5-0=5. Tens: 8-4=4. Result: 45.
• Card G (26 + 11): 37
  • Thought Process: Ones: 6+1=7. Tens: 2+1=3. Result: 37.
• Card H (78 - 32): 46
  • Thought Process: Ones: 8-2=6. Tens: 7-3=4. Result: 46.

Math Fact Race Game Board Problems

• Space 1 (11 + 23): 34
  • Thought Process: Ones: 1+3=4. Tens: 1+2=3. Result: 34.
• Space 2 (45 - 12): 33
  • Thought Process: Ones: 5-2=3. Tens: 4-1=3. Result: 33.
• Space 3 (30 + 17): 47
  • Thought Process: Ones: 0+7=7. Tens: 3+1=4. Result: 47.
• Space 4 (58 - 24): 34
  • Thought Process: Ones: 8-4=4. Tens: 5-2=3. Result: 34.
• Space 5 (22 + 36): 58
  • Thought Process: Ones: 2+6=8. Tens: 2+3=5. Result: 58.
• Space 6 (79 - 35): 44
  • Thought Process: Ones: 9-5=4. Tens: 7-3=4. Result: 44.
• Space 7 (14 + 61): 75
  • Thought Process: Ones: 4+1=5. Tens: 1+6=7. Result: 75.
• Space 8 (88 - 53): 35
  • Thought Process: Ones: 8-3=5. Tens: 8-5=3. Result: 35.
• Space 9 (43 + 25): 68
  • Thought Process: Ones: 3+5=8. Tens: 4+2=6. Result: 68.
• Space 10 (92 - 71): 21
  • Thought Process: Ones: 2-1=1. Tens: 9-7=2. Result: 21.
• Space 11 (33 + 33): 66
  • Thought Process: Ones: 3+3=6. Tens: 3+3=6. Result: 66.
• Space 12 (67 - 40): 27
  • Thought Process: Ones: 7-0=7. Tens: 6-4=2. Result: 27.

Double-Digit Quick Quiz

1. Solve: 13 + 15 = 28
   • Thought Process: Ones: 3+5=8. Tens: 1+1=2. Result: 28.
2. Solve: 48 - 23 = 25
   • Thought Process: Ones: 8-3=5. Tens: 4-2=2. Result: 25.
3. Which answer is correct for 21 + 32? 53
   • Thought Process: Ones: 1+2=3. Tens: 2+3=5. Result: 53.
4. Which answer is correct for 67 - 34? 33
   • Thought Process: Ones: 7-4=3. Tens: 6-3=3. Result: 33.
5. Explain in your own words how to add two-digit numbers without regrouping.
   • Expected Answer: First, add the numbers in the ones column. Then, add the numbers in the tens column. Write the answers below each column. (Variations are acceptable as long as the core concept of adding ones then tens is present.)

Double-Digit Mastery Test

1. Solve: 24 + 35 = 59
   • Thought Process: Ones: 4+5=9. Tens: 2+3=5. Result: 59.
2. Solve: 76 - 42 = 34
   • Thought Process: Ones: 6-2=4. Tens: 7-4=3. Result: 34.
3. Which of these problems shows addition without regrouping? 45 + 23
   • Thought Process: In 45+23, 5+3=8 (no regrouping) and 4+2=6 (no regrouping). Other options would require regrouping.
4. What is the sum of 51 and 28? 79
   • Thought Process: Ones: 1+8=9. Tens: 5+2=7. Result: 79.
5. Solve: 62 + 17 = 79
   • Thought Process: Ones: 2+7=9. Tens: 6+1=7. Result: 79.
6. Solve: 89 - 53 = 36
   • Thought Process: Ones: 9-3=6. Tens: 8-5=3. Result: 36.
7. What is 95 minus 31? 64
   • Thought Process: Ones: 5-1=4. Tens: 9-3=6. Result: 64.
8. When subtracting 36 from 78, which column do you solve first? Ones column
   • Thought Process: Basic rule of multi-digit arithmetic: always start with the ones place.
9. Maria has 34 stickers. Her friend gives her 25 more. How many stickers does Maria have in total? Show your work. 59 stickers
   • Thought Process: 34 + 25 = ? Ones: 4+5=9. Tens: 3+2=5. Result: 59.
10. There are 57 birds in a tree. 14 birds fly away. How many birds are left in the tree? Show your work. 43 birds
    • Thought Process: 57 - 14 = ? Ones: 7-4=3. Tens: 5-1=4. Result: 43.