I start each math lesson with a Problem of the Day. I use the procedures outlined here on Problem of the Day Procedures.
Today's Problem of the Day:
Sam has 5 books. Nick has 4 books. How many books do they have all together?
I set this problem up with some structures to help the students organize their thinking. On the Notebook file, there is a picture of a book set to Infinite Cloner. This way the student can use it represent the problem. If you do not have a SMART Board, you can use the PDF and manipulatives, pictures, or students' drawings.
Since we do this whole group, I have one students come up and work on this problem. I remind the student to check their work when they are finished and have the class tell if they agree or disagree by showing a thumbs up or thumbs down. Students also have the opportunity to share why they agree or disagree.
This lesson is almost exactly the same as Day 1 with the exception of different word problems. I like to take two days to work on this so that students are able to get a lot of practice and experience with writing the answer to a problem before we get into the symbols that are associated with addition. During this lesson, I work through the problems a little more quickly and try to give the students more time to work on their centers.
Today we are going to work on word problems in a very similar way that we did yesterday. We are going to again use the cubes to answer the question at the end of each story. While I tell you the story, you are going to use the cubes to show what is happening in the story. When we solve these kinds of problems, we usually don't just tell someone the answer, we write it down so that we remember it and other people can look at it. Today you are going to record the answer to our word problems on your paper.
I give each student a Word Problems Worksheet. I follow our Paper Procedures to distribute the papers. I also hand each student a cube train containing 10 cubes. I tell students that when they get back to their seats they need to take the cubes apart and lay them beside their paper. When they have done that and put their name on their paper, then put their hands on their head.
I say the following word problems aloud. As I say them, I model on my mat using the cubes and have the students model the problem on their mats. I ask for a student to orally give me the answer by raising a quiet hand. We then write down the answer on the line. I still want the students to focus on listening to the problem and using the cubes to find the answer, but I want them to start to get used writing the answer to a word problem. The process is just as important as whether the students get the correct answer. The students need to use several of the mathematical practices to do this. They need to make sense of the problem and engage in finding the answer (MP1). They need to use the cubes to model the problem (MP4), and they need to use the cubes as math tools (MP5). At this level, cubes and other manipulatives are math tools that students need to learn to use appropriately to solve problems. See example here.
Jaiden has two birthday presents on the table. His mom brings in one more. How presents does he have all together?
Six girls are in the library. Three boys are in the library. How many students are in the library all together?
Suzie brings four jump rope to recess. There are three jump ropes already at recess. How many jump ropes are there at recess now?
Chris gets five lollypops from his grandmother. His sister also gets five lollypops. How many lollypops do they have all together?
When we are finished, I ask each student to put their cubes back together into a train. They need to count and make sure that they have 10. They then need to make a pile of papers and cube trains in the middle of their table. I select one student to collect the papers and another student to collect the cube trains. When students are finished I call one representative from each table to come back and get the center for their table. All students start their center at the same time today.
The centers for this week are:
I quickly circulate to make sure students are engaged and do not have any questions about how to complete the centers.
Today I am working with the students at the counting bears addition center and the addition sports balls center. These two centers are giving the students a lot of difficultly because we are still early in our addition unit.
Prior to clean up, I check in with the other tables to see how the centers are going. My students have been struggling with getting cleaned up quickly and quietly after centers. Lately I have been using counting down from 20 slowly instead of a clean up song. Counting backwards is as critical as counting up. Students need to be able to know the number that comes before, as well as after, any given number (w/i 10, w/i 20, etc.). Counting back is a critical strategy for subtraction.
The students like to count backwards with me as they clean up and I can lengthen or reduce the clean up time based on how students are doing and how much time we have.
To close, I place one student's paper on the document camera and project it on the SMART Board and have that student show an addition word problem and explain their work. I mention positive things noticed during centers as well as something that needs to be better next time.
I review what we did during our whole group lesson. "Today we learned about solving problems that come from a story. These are called word problems. We also continued writing the answers to these problems. Tomorrow we will be looking at the symbol that we use to represent addition."