Unlocking Multiplication: Groups and Repeated Addition!
Lesson Description
Video Resource
Intro to multiplication | Multiplication and division | Arithmetic | Khan Academy
Khan Academy
Key Concepts
- Multiplication as repeated addition
- Groups of objects representing multiplication
- Visualizing multiplication with arrays
Learning Objectives
- Students will be able to represent multiplication as repeated addition.
- Students will be able to identify groups of objects as a representation of multiplication.
- Students will be able to solve simple multiplication problems using visual aids.
Educator Instructions
- Introduction (5 mins)
Begin by asking students if they know what multiplication is. Ask for examples of when they might use multiplication in everyday life. Introduce the Khan Academy video and explain that it will teach them a new way to think about multiplication. - Video Viewing (7 mins)
Play the Khan Academy video: 'Intro to multiplication | Multiplication and division | Arithmetic | Khan Academy'. Encourage students to pay attention to how the video uses star patches to represent groups and repeated addition. - Guided Practice (10 mins)
After the video, review the concept of multiplication as repeated addition. Use different objects in the classroom (pencils, erasers, books) to create groups and have students write out the multiplication problem as both groups and as an addition problem (e.g., 3 groups of 2 pencils = 2+2+2 = 6 pencils, so 3 x 2 = 6). - Independent Practice (10 mins)
Provide students with worksheets containing simple multiplication problems represented as groups of objects. Students should write the corresponding multiplication equation and solve it by using repeated addition. Example: 4 groups of 4 apples, 4+4+4+4 =16 apples, so 4x4=16. - Wrap-up (3 mins)
Review the key concepts of the lesson. Have students share their understanding of multiplication as repeated addition. Preview the next lesson, which will build upon this understanding.
Interactive Exercises
- Object Grouping
Provide students with a collection of small objects (e.g., counters, beads, small toys). Call out a multiplication problem (e.g., 2 x 5). Students create the groups of objects to represent the problem and then determine the answer using repeated addition. - Drawing Arrays
Have students draw arrays to represent multiplication problems. For example, for 3 x 4, students would draw 3 rows of 4 objects.
Discussion Questions
- What is one way multiplication helps you solve problems faster than addition?
- Can you think of a time when you used groups of things to figure something out?
Skills Developed
- Visualizing mathematical concepts
- Connecting addition and multiplication
- Problem-solving
Multiple Choice Questions
Question 1:
What does 3 x 4 mean?
Correct Answer: 3 groups of 4
Question 2:
Which addition problem is the same as 2 x 6?
Correct Answer: 6 + 6
Question 3:
If you have 5 groups of 2 toys, how many toys do you have in total?
Correct Answer: 10
Question 4:
Which of the following shows 4 x 3 using groups?
Correct Answer: 3 + 3 + 3 + 3
Question 5:
What is the answer to 6 x 2?
Correct Answer: 12
Question 6:
If you have 2 groups of 5 cookies, how many cookies do you have?
Correct Answer: 10
Question 7:
Which addition sentence shows the same thing as 3 x 5?
Correct Answer: 5 + 5 + 5
Question 8:
What does it mean to have 'groups of' something?
Correct Answer: to add them together
Question 9:
What is 5 x 3?
Correct Answer: 15
Question 10:
Which is the same as 4 groups of 2?
Correct Answer: 2 + 2 + 2 + 2
Fill in the Blank Questions
Question 1:
Multiplication is the same as repeated ___________.
Correct Answer: addition
Question 2:
3 x 2 means 3 groups of ________.
Correct Answer: 2
Question 3:
If you have 4 groups of 3, you have a total of ________.
Correct Answer: 12
Question 4:
2 x 5 is the same as 5 + _________.
Correct Answer: 5
Question 5:
6 x 3 = _________.
Correct Answer: 18
Question 6:
4 groups of 4 is equal to _________.
Correct Answer: 16
Question 7:
5 groups of 1 is equal to _________.
Correct Answer: 5
Question 8:
7 x 2 = _________.
Correct Answer: 14
Question 9:
3 x 3 can also be written as _________ + _________ + _________.
Correct Answer: 3,3,3
Question 10:
If you have 2 groups of 4, you have _________ in total.
Correct Answer: 8
Educational Standards
Teaching Materials
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