Saturday, October 27, 2012

Popping about the Properties of Multiplication

Properties, properties. So many to teach and so little time. Not to mention what an abstract concept it is for students to understand. Here are some tricks I use when teaching the properties of multiplication:

1. Commutative- Before I start I have students use a Thesaurus to find lots of synonyms for the word talk. We make a word web of all of the words. One of the words is always communicate. We talk about what communicate means. It means to say something by talking, writing, using sign language.... Then I show the problem 4 x 3= and I ask them what is another way we can say the same problem...3 x 4. We can show that the 2 problems communicate the same thing like this 4 x 3=3 x 4. Since the two are communicating the same things we say that they are the Commutative Property-the order in which you multiply two factors does not matter the product will always be the same.

2. Associative- We start by talking about friends. Friends are the people we choose to be with. When we are on the playground or in the lunchroom, we group ourselves with our friends. Another word for grouping is associating. We associate with our friends. Associate means to group. When we multiply 3 or more numbers, we can't multiply all of them at the same time so we group them or associate them. To show the grouping or associating, we use parentheses to show which numbers we are grouping together first: 3 x (5 x 6)=3 x 30=90. The Associative Property says that it does not matter which two numbers you group together or associate first, the answer will still be the same. We show the Associative Property like this: 3 x (5 x 6) = (3 x 5) x 6. When we are multiplying the factors 3, 5, and 6, it does not matter which two we group or associate together first. When we find the final product, the answer will always be the same.

3. Identity-I like to talk about secret identities. The kids really get into it: Spiderman is Peter Parker, Batman is Bruce Wayne, Superman is Clark Kent, Hannah Montana is Miley Cyrus....They are not two different people. They are the "1" and the same person. Their secret identities (Peter, Bruce, Clark, Miley) are their real identities. It is who they are and adding a costume or a wig does not change who they are. The Identity Property of multiplication shows that a number can stay the same when we multiply it by a certain factor. Then I show them the following facts: 4x0=0, 4x1=4, 4x2=8, 4x3=12. Which one allowed the 4 to keep its identity? 4x1=4. The identity property states that any number multiplied by a factor of 1 stays the same.

I use a PowerPoint presentation to teach students about the Properties of Multiplication. You can find it at my TpT store.
I also use this packet that has tons of printables, activities, games, student notes, an assessment, and so much more to teach students about the properties of multiplication.

 You can find the Popping about the Properties of Multiplication at my TpT store.

See how I use all of this in my classroom at my classroom website, Mrs. Hill's P.I.R.A.T.E.S.

 Mrs. Hill's Perfect P.I.R.A.T.E.S.

Saturday, October 20, 2012

Freebies for Upper Grades

Hocus Pocus with a Giveaway Focus!!  Halloween's just around the corner, and I have to admit it's one of my favorite holidays!  Ghost stories, pumpkins, candy corn and excitement fill the air. It can only mean that we teachers need to prepare for our classroom gremlins' dynamic desires to Trick-or-Treat this season AND fast! Why not get ready for celebrating this festive occasion by entering my HUGE Halloween giveaway?

It even includes a $25 gift card to the amazing black-and-orange company,!

Not to mention, you
have a chance to win 19 high-quality HALLOWEEN products specifically designed for upper grade students from some amazing
and very generous TpT sellers!

Thursday, October 11, 2012

The Mystery of Multiplication

Multiplication has come a long way since we were in elementary school. We were handed a list of facts and told to memorize. I don't think we even questioned why 4 x 9 equaled 36. We just accepted it.

Things are so different today. Kids not only have to know that 4 x 9 equals 36, they also have to know why. In other words, how do you know? Prove it to me. Which is perfect for my math motto: PROVE IT! DON'T JUST CHOOSE IT!

Our standards no longer just require students to answer the basic fact. The new standards require students to show what 4 x 9 looks like using groups of objects, arrays, and repeated addition. I have created the following products to help my students master these concepts:

I use this Meaning of Multiplication PowerPoint presentation over a week long period. I take each meaning one day at a time. I embed videos and online games into it, so that we can just click and go.

I also use The Mystery of Multiplication lesson and activity packet to provide lessons, printables, games, activities, graphic organizers, and more.