## Another Great Resource of Ideas about Teaching Multiplication and Division

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Happy Mathing,

Dr. Nicki

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## Multiplicative Comparison Problems

Multiplicative Comparison type problems are explored in 4th and 5th grade. Here are some great resources explaining these problem types. There are several different types within the multiplicative comparison genre. Remember that the research says that it is important for students to understand the type of problem they are solving rather than “key words.”

Resource 1 (Be sure to look at all the related resources at the bottom of the page)

Resource 5 – Math Video

Resource 6 – Math Video

Resource 7 – Math Video

Multiplicative Comparison Video!

Happy Mathing,

Dr. Nicki

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## Overview of Progression in Division

I love this concept of a Passport to Division 1! Other resources to help on the journey through the land of division!

Resource 3 (I like the way they break the concepts down)

Happy Mathing,

Dr. Nicki

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## Teaching the Area Model for Division

The CCSS Math Practice 5 talks about different tools that students will use to solve problems. Here is a great digital tool from the National Library of Virtual Manipulatives that helps students to learn and practice division using the area model.

Happy Mathing,

Dr. Nicki

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## The Open Array for Division

The Math CCSS states that 4th and 5th grade students should have a variety of strategies for doing multiplication and division. In my work around the country, many teachers don’t have as many strategies for division as they do for multiplication. The **4th grade math** Core (2010) says that students will “Find whole-number **quotients and remainders with up to four-digit dividends and one-digit divisors**, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.”

The **5th grade math** Core (2010) says that students will “Find whole-number **quotients of whole numbers with up to four-digit dividends and two-digit divisors**, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.”

Here is the Open Array for Division!

Happy Mathing,

Dr. Nicki

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## Teaching Division with a Great Picture Book: A whole class or guided math activity

Here is a great book to teach division – Divide and Ride! I really like this book.

First, I get the students to act it out.

Second, we get into groups of 4. I read the story and the students have 4 roles:

1) illustrator draws pictures

2) equation maker- writes the equation

3) manipulatives manager – acts it out with the counters (I use the people counters from Lakeshore-they look just like the students in the book)

4) checker – first retells the situation and then checks everyone’s work

The students sit in groups of four and we read it as a class and they take on their various roles. They love it and they get to see the situation represented in various ways.

Happy Mathing,

Dr. Nicki

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## More Ideas for Teaching Division

Division is hard for many students. They need to do lots of concrete and visual activities instead of just jumping to abstract activities. Be sure to have anchor charts that support their learning. See the following examples:

Great anchor chart showing 3 ways to represent division

Another great anchor chart

Happy Mathing,

Dr. Nicki

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## Number Sense Power Points

I found a really great resource today. Be sure to check out these two power points about numbers and operations.

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Here is a song for teaching dividing fractions.

http://www.youtube.com/watch?v=fGLmAs6YdQM&feature=related

How does this add to our teaching? How does putting this in our toolkit tap into spaces that digital learners inhabit? This is simply a song that serves as a mnemonic device to the procedure. You must make certain that along with things such as this that you teach students conceptually what they are doing. Students should be given real contexts of dividing fractions and have to represent their thinking and explain it. Along with that, then this type of song is an additional aspect of teaching and learning about dividing fractions. Remember to always make space for guided conversations in small guided math groups so that you can hear and see what individual students are doing!

Happy Mathing,

Dr. Nicki

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## Division Strategies and Algorithms: Great Guided Math Lessons

Can you show your thinking about 250/50 in more than one way? What about your students? Can they discuss this problem with numbers, words and pictures?

Division with Virtual Manipulatives

More Division with Virtual Manipulatives (I would use real base ten blocks and then show the process with virtual manipulatives).

Short Division (Notice the use of her language? How could you help describe this process by using language that is descriptive of the actual place of the numbers?)

Be sure to look at all the Schultz videos on different strategies and algorithms for division (scroll all the way down). Also take a look at the other posts on strategies and algorithms in this series on operations. I always encourage teachers to do this type of work in small guided math groups so that students can get a chance to explain their thinking and listen to the ideas of others. Also remember that the new math common core is encouraging us to build a repertoire of strategies and algorithms for the basic operations. Of course, teach the traditional algorithm as well, but teach it with conceptual understanding as well as procedural fluency!

Happy Mathing,

Dr. Nicki

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