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The following is a sample lesson plan that I created for my Methods & Materials for Teaching Elementary Math class while I was pursuing a Masters degree in Elementary Education with Teaching Certification through Lesley University in 1999.

Autumn Leaves

Duration: Allow at least four math periods.

Materials:
Leaf samples from school grounds
Autumn Leaves by Ken Robbins
Bar Chart Outline (on graph paper)
Crayons/Markers
Colored Paper
Glue
Math Journals
Scissors

Overview:
In this activity the children will explore the various shapes and patterns of leaves from the school grounds. Based on the samples collected, the class will determine four groups into which the pile of leaves will be sorted. The class is then broken into small groups of 2 or 3 students. Each group will sort their allocated leaves into the four categories. Each group will make a bar chart of their sorted leaf samples.

The whole class will come together and make a bar chart of all leaf samples on an overhead, board or wall chart. The small group charts will be compared to the class chart to see any similarities or differences. The lesson will end with the children discussing the results of the bar graph, making entries into their journals on their findings and creating a collage of fall leaves from construction paper.

Vocabulary:
Bar Chart
Category
Characteristics
Differences
Patterns
Properties
Samples
Similarities
Sorted

Literature Connection:
Autumn Leaves by Ken Robbins. "...This sumptuous picture book is a primer on tree and leaf identification. Close-up pictures reveal leaf details, a simple text provides easy clues for identifying trees ..." This book will help children to see likenesses, differences, and patterns which are an essential part to mathematical thinking.

Description:
Period #1: Whole group. Begin by telling the children that they will be going out as a class onto the school grounds to collect leaves. They are to collect at least five leaves each, and the leaves should be as different as possible. Before going out, read the book Autumn Leaves by Ken Robbins to the class. The information provided in the book will help the students to select different types of leaves. This activity will take approximately half-hour to 40 minutes. While the children are outside point out some of the other aspects of nature -- such as animals, insects, the weather etc. Bring the children inside and ask them what they saw outdoors that relates to nature. (The discussion can continue for whatever time remains in the period.) Have the children place their leaves in one box. This concludes period #1. After class, place the leaves between the pages of a heavy book to keep them from curling.

Period #2: Small Groups. Start the second period off reading the book Autumn Leaves again. The book focuses on origin, types, shapes of leaves etc. Show and describe to the children the various types of leaves featured in the book; pointing out the different patterns (characteristics.) Talk about the origin (i.e., what type of tree the leaves likely came from.) Discussion Question: Do the trees these leaves came from exist in Massachusetts? Work with the children and help them to determine the four groups they will use to chart their samples. What properties will they use to sort the leaf samples? This part of the lesson is allocated twenty minutes to complete.

Break the whole group into small groups of two-three students each. Have one child get the group's leaf allocation. Instruct the group to sort each of their leaves into one of the four groups and have another child keep track of the number of leaves that fall into each category, while another child records the data in the bar chart outline, on the graph paper. This part of the activity will take about twenty five minutes and will conclude the second period.

Period #3: Whole group. At the start of period three, the entire class will make a bar chart of all the leaf samples. You (the teacher) will construct this chart on an overhead transparency, on the board or on a wall chart. Once the class bar chart is constructed, the individual group charts will be compared to the class chart. Have each group state the number of leaves they sorted into each category. See if there are same or different numbers throughout the class. Ask the class the following discussion questions:
· What do you notice about the chart?
· What might the bar chart tell you about the trees in our neighborhood?
· How are the leaves similar?
· How are the leaves different?
· Which type of leaf appears the most from the class sample of leaves?

This activity should take the entire period.

Period #4: Whole group. The final period will be spent constructing a collage of fall leaves from construction paper. Distribute the paper, glue and scissors for the whole group. Each student will create his own collage. This activity will take the entire period.

Assessment:
Have the children answer the following open-ended questions in their math journals.
· What similarities do you see between the whole group chart and your small group chart?
· What differences do you see?
· What patterns and relationships do you see?