Repeated Addition Race!

Instructions: Solve each problem using repeated addition. Be ready to share your answers and how you solved them!

1. You have 3 baskets. Each basket has 2 apples. How many apples in total?
   
   
   
   
   
   
   

2. There are 4 boxes of crayons. Each box has 5 crayons. How many crayons in total?
   
   
   
   
   
   
   

3. A baker made 2 trays of cookies. Each tray has 6 cookies. How many cookies in total?
   
   
   
   
   
   
   

4. You see 5 cars. Each car has 4 wheels. How many wheels in total?
   
   
   
   
   
   
   

Array Action Worksheet

Name: ________________________

Instructions: For each problem, draw an array to represent the multiplication problem. Then, write the repeated addition sentence and the multiplication sentence.

1. Problem: 2 groups of 3
   Draw your array here:
   
   
   
   
   
   
   
   Repeated Addition: ________________________
   Multiplication Sentence: ________________________

2. Problem: 4 groups of 2
   Draw your array here:
   
   
   
   
   
   
   
   Repeated Addition: ________________________
   Multiplication Sentence: ________________________

3. Problem: 3 groups of 5
   Draw your array here:
   
   
   
   
   
   
   
   Repeated Addition: ________________________
   Multiplication Sentence: ________________________

4. Problem: 5 groups of 1
   Draw your array here:
   
   
   
   
   
   
   
   Repeated Addition: ________________________
   Multiplication Sentence: ________________________

5. Challenge Problem: You have 3 rows of flowers, and each row has 6 flowers. Draw an array and write the multiplication sentence.
   Draw your array here:
   
   
   
   
   
   
   
   
   
   
   
   
   
   Multiplication Sentence: ________________________

Array Action Answer Key

Repeated Addition Race Warm-Up Answers

1. Problem: 3 baskets, 2 apples each. How many apples in total?

   • Thought Process: This means 2 + 2 + 2. We are adding 2 three times.
   • Answer: 6 apples

2. Problem: 4 boxes, 5 crayons each. How many crayons in total?

   • Thought Process: This means 5 + 5 + 5 + 5. We are adding 5 four times.
   • Answer: 20 crayons

3. Problem: 2 trays, 6 cookies each. How many cookies in total?

   • Thought Process: This means 6 + 6. We are adding 6 two times.
   • Answer: 12 cookies

4. Problem: 5 cars, 4 wheels each. How many wheels in total?

   • Thought Process: This means 4 + 4 + 4 + 4 + 4. We are adding 4 five times.
   • Answer: 20 wheels

Array Action Worksheet Answers

1. Problem: 2 groups of 3

   • Array:

     X X X
     X X X
     

   • Repeated Addition: 3 + 3 = 6
   • Multiplication Sentence: 2 x 3 = 6

2. Problem: 4 groups of 2

   • Array:

     X X
     X X
     X X
     X X
     

   • Repeated Addition: 2 + 2 + 2 + 2 = 8
   • Multiplication Sentence: 4 x 2 = 8

3. Problem: 3 groups of 5

   • Array:

     X X X X X
     X X X X X
     X X X X X
     

   Repeated Addition: 5 + 5 + 5 = 15
   Multiplication Sentence: 3 x 5 = 15

4. Problem: 5 groups of 1

   • Array:

     X
     X
     X
     X
     X
     

   • Repeated Addition: 1 + 1 + 1 + 1 + 1 = 5
   • Multiplication Sentence: 5 x 1 = 5

5. Challenge Problem: You have 3 rows of flowers, and each row has 6 flowers. Draw an array and write the multiplication sentence.

   • Array:

     F F F F F F
     F F F F F F
     F F F F F F
     

   • Multiplication Sentence: 3 x 6 = 18

Multiply This! Script

Introduction & Warm-Up (5 minutes)

Teacher: "Good morning, mathematicians! Today, we're going to dive into a super cool topic that will make counting and solving problems much faster. But first, let's get our brains warmed up with a little challenge!"

"I'm going to hand out a quick activity called Repeated Addition Race Warm-Up. Your task is to solve each problem using repeated addition. Remember what repeated addition is? It's adding the same number over and over again. You have about 3 minutes to work on this, then we'll share!"

(Distribute Repeated Addition Race Warm-Up. Circulate and assist as needed.)

Teacher: "Alright, pencils down! Who would like to share their answer for the first problem? How did you solve it?"

(Call on a few students. Guide them to articulate the repeated addition. Transition to the idea that there's a faster way.)

Teacher: "You all did a fantastic job with repeated addition! Now, imagine if you had 10 baskets with 12 apples each. Would repeated addition still be the fastest way? Probably not! That's where our new topic comes in. Let's find a faster way to count equal groups!"

Direct Instruction: What is Multiplication? (10 minutes)

(Display Multiply This! Slide Deck - Slide 1)

Teacher: "Our lesson today is called 'Multiply This!' and it's all about finding quick ways to add groups of things. Let's jump right into it!"

(Display Multiply This! Slide Deck - Slide 2)

Teacher: "So, what is multiplication? It's a speedy way to do repeated addition. It's like counting groups of equal things much, much faster! Think about our warm-up. If you had 3 baskets with 2 apples in each, how did you count them? (Pause for answers like '2+2+2'). Yes! 2 + 2 + 2. Multiplication helps us say that in a shortcut way."

(Display Multiply This! Slide Deck - Slide 3)

Teacher: "Look at this example: 3 groups of 5 apples. With repeated addition, we do 5 + 5 + 5, which equals 15. The multiplication way is simply 3 x 5 = 15. See how we get the same answer, but multiplication is much quicker to write and solve!"

(Display Multiply This! Slide Deck - Slide 4)

Teacher: "In multiplication, we have some special words. The numbers we multiply together are called factors. The answer to a multiplication problem is called the product. So, in our example 3 x 5 = 15, what are the factors? (Wait for answers: 3 and 5). And what is the product? (Wait for answer: 15). Excellent!"

(Display Multiply This! Slide Deck - Slide 5)

Teacher: "Now, how can we see multiplication? We can use something called an array. An array is a way to show equal groups in rows and columns. It's a fantastic visual to understand what multiplication looks like. If we have 3 x 4, that means 3 rows of 4 objects. Look at the apple example on the slide. You can clearly see 3 rows, and each row has 4 apples."

(Draw a simple array on the board, like 2x3 using dots, and label the rows and columns.)

Teacher: "Notice how the rows go across, and the columns go up and down. Each row has the same number of items, and each column has the same number of items. This shows us 'equal groups.'"

Guided Practice: Building Arrays (10 minutes)

Teacher: "Now it's your turn to practice visualizing multiplication with arrays! I'm going to hand out the Array Action Worksheet. For each problem, I want you to draw an array to show the multiplication, then write the repeated addition sentence, and finally, the multiplication sentence. Let's do the first one together."

(Distribute Array Action Worksheet.)

Teacher: "Look at problem number 1: '2 groups of 3'. How would we draw an array for that? (Guide students to suggest 2 rows of 3 items). Let's draw it together. (Draw 2 rows of 3 on the board). What would the repeated addition be? (3 + 3). And the multiplication sentence? (2 x 3 = 6). Fantastic!"

(Allow students to work on the remaining problems. Circulate around the room, providing individual support, checking arrays, and offering manipulatives like counters if students are struggling to draw.)

Wrap-Up & Cool Down (5 minutes)

(Display Multiply This! Slide Deck - Slide 6)

Teacher: "Wonderful work everyone! Let's quickly review what we've learned today about multiplication. We discovered that multiplication is really just repeated addition, but way faster! We also learned about factors, the numbers we multiply, and the product, which is our answer."

"And what was that cool way we learned to see multiplication? (Wait for answers: Arrays!). Yes, arrays help us visualize equal groups in rows and columns."

Teacher: "For your cool-down today, please complete the very last problem on your Array Action Worksheet, the 'Challenge Problem'. If you don't finish the other problems now, you can take them home as homework. This challenge problem will be a good way for me to see what you've learned about arrays today."

(Collect worksheets or signal for students to complete the cool-down question.)

Teacher: "Great job today, everyone! You're all becoming multiplication masters!"