Commutative Property: Memory Game Taught by: Sarah Jeske Lesson Number 4 Hans Larsen 1 st Grade November 3, 2009 Anticipatory Set: Hello Hans. How was your Halloween? What did you dress up as? Did you get a lot of candy this year? Today you and I are going to play a game that will help with our math facts more and do a few other activities. Lets start today off with a store. You are going to pretend that you are buying a variety of different things. Mostly candy, because it was just Halloween. You are going to look at this sheet that I have for you, and choose two things that you want to buy. (The sheet will be a list of different candies and there picture with an amount next to them. The student will choose two types of candy and have to add them up together. This way he will be working on his basic facts while also choosing objects or numbers he is familiar with.) Hans choose two types of candy that you want for Halloween. Ok, you choose skittles and Hershey. Do you see the number that is next to the picture of these candies? I want you to add up these two numbers to see how many pieces you will get from the store. (Continue having the student choose different types of candy to add together to find the sum. Do this activity for about five minutes. Also, have counters available to group together if needed.) Objective: Addition #6: The student can complete addition facts (sum 0‐18) We will also be working on learning the commutative property. I will explain how the property works and how it will make it easier when learning and mastering the basic facts. We will be going through a few different activities to help strengthen my understanding of how he is doing with his basic facts. Instructional Input/Modeling: Alright, now that we got ourselves ready for the lesson lets begin with using these Cuisenaire Rods. I want you to tell me what you see when I put this group of numbers together and this group of numbers together. (Place the number 6 rod next to the number 4 rod. Next to that, place a number 4 rod first and the number 6 rod second.) Hans what do you see with these numbers? (Allow for response) What is the sum of the first addition problem? (Point to the first set of Cuisenaire Rods.) Great job. Now, what is the sum of the second problem? (Allow for response) You are doing great Hans. Both of the problems had the same sum. Did they have the same addends? (Allow for response) An addend is one of the numbers in the problem if you forgot what it was. Since we know that both problems have the same addends, but in a different order, they equaled the same sum. This is called the Commutative property in math. When you have the same numbers added together, but in a different order, they still equal the same thing. Lets do a few more so we can understand it better. (Take the next ten or so minutes to show Hans a few more commutative properties with his basic facts. Use the Cuisenaire Rods as visuals to explain how both equations are really the same things. Stop and explain if student is not understanding the concept.) Nice work so far Hans. So if I were to give you a problem that is 3+7 and you know the answer, I should be able to give you the problem 7+3 and you also should be able to solve the problem. We are now going to have the first number in the problem not always be the largest, because you should know that you could flip the numbers around to solve the problem still. Check for Understanding/Guided Practice I want to now move on to our next activity. (Bring out a baggy with a stack of cards in it. The cards are part of the next game you will be playing. Start laying the cards on the table in rows and columns. Make it neat, because the game is a memory game.) We are going to be playing the memory game. Instead of trying to look for the different shapes or pictures on the back of the cards you are going to be trying to find the commutative of the first card you flip over. For example, if I choose this card (Point to a card on the table) I will flip it over and have to give the answer to the problem on the back. Next, I will flip over another card to see if it matches with the first. Remember it will not match exactly, but it will be the opposite of what is written on the first. The card should have the same sum as the first card you flip over. If you answer the problem on the back of the cards correctly, you get to keep the cards and have a second turn. If you do not answer it correctly, you have to wait for the next turn to play again. Understand the rules. (If needed repeat and clarify the rules of the game.) Lets see who can get the most cards in their stack. You can go first and flip over one cards. What is the sum of that card Hans? Great job Hans; now flip over another to see if you got the commutative of the first one. (Continue taking turns to find the pairs in the memory game. If the game is over too quickly shuffle the cards and play again. It will work on his understand of the basic facts and the cumulative property as well.) (If you end early work on the tangram worksheets) Closure: Great work today Hans. I think you are doing awesome with your basic facts. Lets review quickly what we learned today. What is the cumulative property? (Allow for response) Your right. It is when you have an equation with the same numbers but in a different order. Lets bring out our chart and fill in the remainder of it with this color. You know all of your basic facts now. I am sure that if I asked you any one of the problems on this sheet you could give me the answer right away. Right? Great job today Hans. Next time we meet, we are going to be working on subtraction. We are going to learn an easier way to take things away from a larger number. That is all I have for us today. We can head down stairs to meet up with our friends. Evaluation: Today I am going to evaluate Hans by seeing if he still knows his facts or if he was just starting to memorize them the last time we were together. I will be watching how well he understands the new concepts that I have given him at the beginning of the lesson. I will also be seeing how well he notices the concept of commutative. When we fill out the remainder of the Basic Fact sheet I will know if he really understand them or if he has just memorized or is still counting in his head. Materials: ‐ Basic Fact Sheet ‐ Store List with Candy pictures ‐ Cuisenaire Rods ‐ Memory Game pieces ‐ Counters (if needed) ‐ Colored pencils or markers Reflection: Today the time just flew by. Hans did very will with the review of the basic facts at the beginning of the lesson. You can really see that he is working on his basic facts either at home or in school. When ever I bring in a game his basic facts seem to improve even more. He likes to have a reason to give me the answer in a timely manner. He always wants a reward for getting the answer correct. We used the Cuisenaire Rods when I introduced the commutative property and it seemed to help him visualize what I was explaining. He caught on very quickly and starting making his own addition sentences with the Rods. The memory games worked very well with helping him understand the commutative property and how it really work. Overall, the day went very well. I was curious to see how my next lesson was going to work for him so I asked him a few subtraction problems. He is learning about subtraction in school right now, so he knows a lot more then I planned for. This next lesson will probably be too easy, but it will give me a good base to see where to start. He is excited about subtraction; he says he likes it more than addition. Today’s lesson was a success and we filled in his Basic Fact sheet. 6 4 7 3 8 5
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