I want to suggest a lovely post by somebody else. It is written by a math teacher who converses with his niece (who is 7 years old) about rectangles and multiplication. As an example, the rectangle below shows that 6x3 is 18.
Eunmi Yang's insight:
I love that this activity not only helps the students with solving multiplication problems, but it also helps the students to see how and why 6x3 and 3x6 have the same product. This can also help the students to learn about area at the same time and how multiplication can be used to help find the amount that something covers. I also like that the students can use the boxes to re-arrange the rectangle to have the same number of boxes but look different. This activity can also be used for division to help the students understand how multiplication and division are related. The boxes can also be divided into two equal groups and the students can talk about the relationship between the split square and the original rectangle. I believe that this activity and the materials can be used to learn about multiple concepts and see the relationship between them.
3rd arrays Third graders in Ms. Parkinson's class at Davis Elementary are starting to learn about multiplication, and one of the ways they learn how to multiply is by making arrays. So today I taught them how to make animated multiplication ...
Eunmi Yang's insight:
In my 3rd grade classroom, the students began learning arrays to help them with multiplication. In addition, the students had the opportunity to engage in a math activity in which they make their own arrays with objects that they like. I believe that arrays are very helpful in helping the students understand what multiplication really means. In addition, arrays provide students with a visual, which can be very helpful to the ELL students.
I would love to use this in my 3rd grade classroom when the students are learning about arrays and multiplication. It would be a very engaging activity that is educational and it makes math accessble. In addition, I love that this activity is open-ended and the students can share their arrays with their peers. I actually did a math activity that is related to this and instead of just letting the students give random equations, I gave the students a specific number that represents the product. Then the students had to make arrays and write a multiplication equation that was represented by the array that they created. This was interesting because the students were also able to see how different arrays and equations can result with the same product. I love that this activity also includes a visual for the students as they are solving the math problem.
Mrs. Baumgartner's class is working on multiplication. They are working on making arrays using egg cartons! 20131205-081330.jpg · 20131205-081337.jpg · 20131205-081345.jpg · 20131205-081352.jpg .... 3rd grade Teacher.
Eunmi Yang's insight:
I love this idea that the students are using a material that they see everyday to help them solve multiplication problems! I also liked that the teacher provided the students with the egg cartons because sometimes when students draw arrays they make mistakes when trying to make the dots in straight lines. So the egg cartons will help the students make equal groups without mixing things up. I also believe that manipulatives and hands-on activities are very engaging and effective for elementary school students.
This link is for a math game for kindergarten, but I can change it to make it appropriate for 3rd graders. I would love to have my students play this game in pairs to practice their multiplication skills.
I love that this is a fun hands-on activity that is open ended. There are many entry and exit points for this math activity. In addition, this allows the students to have a visual that can help them with the multiplication, which mostly benefits the ESOL students. I also believe that this is a good math activity because it helps the students to see equal groups and it helps the students to see how addition is also related to multiplication. Through this open-ended activity, the students also have the opportunity to engage in discussion about the different multiplication equations that the students created or about any patterns between the students' answers. I will try to use this with my 3rd graders when I want to have an engaging activity for multiplication or multiplication review.
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