Lesson Plan

Name: Lauren Adams     Date:  November 10, 2004         Age/Grade Level:  1st

Subject:   Math                   # of Students: 16       # of IEP Students: N/A

Major content: Basic math Skills  Unit Title: Buttons

 

ACTIONS—

 Goals and Objectives-

Students will use buttons to explore logical and numerical relationships. The unit begins with two activities/mini-lessons that focus on the two basic logical thinking skills, classification and seriation, which are the foundation for understanding numbers and number relationships. These abilities in turn form the basis for understanding addition and subtraction. In the next 3 activities/mini-lessons, students explore the relationships between numbers and model addition and subtraction sentences with buttons.

 Connections-

Students ability to classify and seriate objects forms the basis for their understanding of number. In this unit, students use buttons to explore these logical processes. Then they apply these developing skills to the operations of addition and all three meanings of subtraction (take away, comparative, and missing addend). A set model is used for both operations.

Standards include:

  • count with understanding and recognize "how many" in sets of objects.
  • use multiple models to develop initial understandings of place value and the base-ten number system.
  • develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections.
  • develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.
  • connect number words and numerals to the quantities they represent, using various physical models and representations.
  • understand various meanings of addition and subtraction of whole numbers and the relationship between the two operations.
  • understand the effects of adding and subtracting whole numbers.
  • develop and use strategies for whole-number computations, with a focus on addition and subtraction.
  • develop fluency with basic number combinations for addition and subtraction.
  • use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators.

 

Context-

Lesson 1: Button Trains: Monday

In this lesson, students describe order by using vocabulary such as before, after, and between. They also review and use both cardinal and ordinal numbers.

Lesson 2: Many Sets of Buttons: Wednesday

Students classify buttons and make disjoint and overlapping Venn diagrams. In an extension, they make and record linear patterns.

Lesson 3: Numbers Many Ways: Friday

Students work with subtraction at the intuitive level as they explore number families and ways to decompose numbers to 10. They will also identify members of 'fact families.' [A fact family is a set of three (or two) numbers that can be related by addition and subtraction, for example: 7 = 4 + 3, 7 = 3 + 4, 7 ' 4 = 3, and 7 ' 3 = 4. When the number is a double, there are only two members of the fact family. An example would be 10 ' 5 = 5, and 5 + 5 = 10.]

 Resources-


Lesson 1:

 

 

Lesson 2:

 

Lesson 3:


 

 Procedures-

Lesson 1- Instructional Plan

Teach the students how to play the game London Bridge. [The lyrics and directions can be found here] After all the students have been “caught,” tell those in the left line to sit down and face the other line of students.

Ask the seated students such questions as: Who is next to Marcia? Who is in line just after Eric? Who is in line just before Carol? Who is between Tom and Karan?

Next ask the students who are standing to name their position in line using ordinal numbers (first, second, third, and so on). Then ask questions using these positions, such as: Who is in the sixth place in line?

Now have the students who are standing sit down and the students who are seated stand in line on the left side of the bridge. Pose similar questions about the students who are now standing.

[This lesson offers an opportunity for another song-related activity, this one focused on “Down by the Station.” Its words can be found here. If you wish, the students from each side of the bridge can become a separate train, naming their position in ordinal terms and moving around the room to the words of the song.]

Next distribute to each student a bag of buttons and a 10 strip. Display a numeral less than 10 and ask the students to make a button train by putting one button into that many spaces in the 10 strip, beginning with the far left space. [This space has been bordered in a heavy line to distinguish it as the first space on the train.] When they are ready, ask the students to count the filled spaces aloud.

Then call on various students to choose a number less than 10 and ask the other students to fill that many spaces in the 10 strip. Have students count the buttons aloud to check that they have used the correct number of buttons.

Now call on a student to display his or her train and ask the other students questions such as: What button is before the red one? What button is after the green one? Which button is in the second space? Which button is between the metal button and the striped one? Request the students to pose similar questions to their peers.

Next have them place one button in each of the 10 spaces. Then call on various students to describe their button strips using ordinal language. For example, a student might say, “I put a big blue button in the first space and a little red button in the second space. Then I put a button with two holes in the third space.” As a first entry in a unit portfolio, you may wish to have the students record one way that they filled the 10 strip.

Questions:

  1. What number words did we use today that tell us how many we have of something?
  2. What words did we use that tell about order?
  3. Make a train with 10 buttons or less. How many buttons are in Judy's train? In Mark's?
  4. Here is Sam's button train. Which button is in the third place? The 10th place?
  5. Look at your train. Who has a red button in the fifth place?
  6. What place comes after the sixth place in line? After the third place?
  7. What place comes before the fourth place? Before the 10th place?
  8. How many buttons will come before the sixth button in a train?
  9. What place is between the second and fourth place?

Lesson 2- Instructional Plan

Teach the students the song, "If You’re Happy and You Know It" using the available song lyrics

Give each student a small plastic bag containing about fifteen buttons. Ask the students to dump their buttons onto their table or desk and tell them to find buttons in their set of buttons that fit each description that you will give.

First name an attribute such as “red.” Now lead the students in singing the song, substituting, “If you found a red button, hold it high” for “If you’re happy and you know it, clap your hands.” Sing several verses with other attributes, for example, big, square, broken, and four-holed-button.
Now hold up one button and ask the students to describe it in as many ways as they can. Record the descriptive words on the board.

Choose two descriptive words that are mutually exclusive (such as blue and white) and write them on separate file cards. Next form two circles with yarn and put one file card face up in each yarn circle. Tell the children the figure is called a Venn diagram.

 Now hold up a button and ask where it should be put. [If the button is neither blue nor white, place it outside the circles.] Repeat with several more buttons, then remove both cards and all the buttons and repeat with other attributes.

Next, on separate file cards, write words that might describe a single button (for example, big and red). This time, overlap the yarn circles and place one file card in each circle. Place a button in the correct position and elicit reasons why it goes in that place.Place a button in the correct position and elicit reasons why it belongs in that place. Now hold a button and ask where it should be placed in this new Venn diagram. Then call on volunteers to place other buttons on the diagram. [Buttons that have both attributes should be placed in the overlapping section.]

Next remove the buttons and the cards from the circles, and place two different file cards upside down, one in each yarn circle. Without revealing the sorting rule, place several buttons in the circles, then ask for volunteers to try to place additional buttons. If a student places a button incorrectly, move it to the proper position without explaining why.

When several buttons have been correctly placed, ask a volunteer to tell how he or she figured out what was written on the file cards. Then display the cards right side up so the students’ hypotheses can be verified. Repeat the activity with other attributes, using a different pair each time. To record the activity, ask each student to draw two overlapping circles, label them, and draw buttons in the circles.

Questions:

  1. Can you find two buttons that are alike in some way? How are they alike? How are they different?
  2. How did you know where to place a button when you could not see the labels?
  3. Look at these buttons. What labels could you use to describe them?
  4. Choose two ways to describe this button. If you made a Venn diagram with these attributes, would the circles overlap?
  5. How would you tell another student how to place buttons?

 

Lesson 3:

Provide pairs of students with two dice, buttons, and the red and blue strip of paper from the previous lesson. If these strips are not available, give the students a strip of paper and ask them to color one half of the paper red and the other half blue. Next ask them to count out seven buttons and write that number in purple on a separate sheet of paper. Then ask them to find as many ways as they can to separate the seven buttons into two sets, putting some (or no) buttons on the red side of the paper and some (or no) on the blue side. Ask them to record each way using red and blue numerals to match what they have done. Some of the possible sorts are shown below. There will be five more sorts when the set is complete.

7

3
5
0

4
2
7

When they have decomposed seven in several ways, help them enter two or three of their findings on a class record chart. Once all their sorts made have been recorded, ask the students whether there are any sorts missing. [There are eight possible sorts of seven objects. Students may need to be reminded to use 0 on each of the sides.]

Call on a volunteer to read one row of the chart. Now demonstrate how to rewrite that entry on the chart as a pair of addition sentences. Then challenge the students to write the same row as a pair of subtraction sentences. [You may wish to model how this is done if the students have not previously encountered the subtraction sign.]

Call on volunteers to read their subtraction sentences aloud. Then write the sum (7) and the four sentences that can be derived from a pair of its addends (say, 5 and 2.) [It will help the students to see the relationships regardless of whether they continue the convention of writing the addends in blue and red and the sum in purple.] Tell the students that this is called a fact family. [The fact family for 7, 5 and 2 is: 5 + 2 = 7, 2 + 5 = 7, 7 – 5 = 2, and 7 – 2 = 5.]

Now ask the students to count out eight buttons on the red side of their strip and repeat the activity, recording all the possible two-addend combinations for eight. [This time there will be nine ways to sort the buttons. You may wish to encourage them to look for a pattern as they make the sets.]

Repeat with other numbers. [The number of ways to sort the buttons will be one more than the number of buttons used. To be sure all the sorts are found, the students might be encouraged to start with all the buttons on one side of the strip, then move them one at a time to the other side of the strip, recording each addend pair as it is displayed.]

Finally, ask the students to choose a number from zero to 10 and write one fact family that has that sum. When the students are ready, ask several volunteers to demonstrate the fact family using buttons and a red and blue strip of paper. Then ask them to find the addends and sum for that fact family on their Sums to 10 chart.

You may wish to ask the students to select two addends and their sum to record for their portfolio by drawing a picture illustrating that fact family.

 

 

 Student Assessment-

Lesson 1: Questions:

  1. What number words did we use today that tell us how many we have of something?
  2. What words did we use that tell about order?
  3. Make a train with 10 buttons or less. How many buttons are in Judy's train? In Mark's?
  4. Here is Sam's button train. Which button is in the third place? The 10th place?
  5. Look at your train. Who has a red button in the fifth place?
  6. What place comes after the sixth place in line? After the third place?
  7. What place comes before the fourth place? Before the 10th place?
  8. How many buttons will come before the sixth button in a train?
  9. What place is between the second and fourth place?
  • Rubric

Lesson 2: Questions:

  1. Can you find two buttons that are alike in some way? How are they alike? How are they different?
  2. How did you know where to place a button when you could not see the labels?
  3. Look at these buttons. What labels could you use to describe them?
  4. Choose two ways to describe this button. If you made a Venn diagram with these attributes, would the circles overlap?
  5. How would you tell another student how to place buttons?
  • Rubric

 

Lesson 3: Questions:

  1. How many buttons are on the red side of this sheet? On the blue side? How many in all? What addition sentences could you write to show that? What subtraction sentences?
  2. What was one sum that we used? What pairs of addends had that sum?
  3. What pairs of addends make a sum of four? Of one?
  4. Would you get the same sum if you had two buttons on the blue side and three on the red side as you would if you had three on the blue side and two on the red side? Can you write the addition sentences that show that? What are the related subtraction facts for this family?
  • Rubric

 

 

 

REFINEMENT- Prepared after the lesson and the post observation conference.

 

IMPACT—Prepared after the lesson and post-observation conference

 Reflection/Analysis of Teaching and Learning-

Discuss student progress in relation to the sated objectives (i.e., what they learning with indicators of achievement.)  Discuss success of instruction as it relates to assessment of student progress.  Include three student samples (high, average, low) and an analysis of their performance based on assessment results.

 

REFINEMENT—Prepared after the lesson and post-observation conference

 Lesson Extension/Follow up: 

Based on your reflection, discuss plans for subsequent lessons to reinforce and extend understanding particularly for students who did not make satisfactory progress.

 

 

 

 

 

 

 

 

 

 

 

Lesson provided by: http://illuminations.nctm.org/index_d.aspx?id=27

 

 

 

 

 

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