UNIVERSITY OF NEW HAVEN 2010 - 2011 Lesson Plan Format Student Teacher Grade Level 5 Date of lesson September 28, 2010 Subject Math Length of lesson 75 minutes Lesson Topic: Decimals Overall Goal: (Broad statement using non action verbs) “Students will understand that….” Students will understand the concept of place value in decimals to the thousandths place. Students will realize the value of individual digits in decimals in various contexts. Learner Background: (This addresses why the lesson is being taught.) Describe the students’ prior knowledge or skill related to the learning objective(s) and the content of this lesson, using data from pre-assessment as appropriate. How did the students’ previous performance in this content area or skill impact your planning for this lesson? For the past week and a half the students have been learning about place value in decimals. They have learned about the names of the places to the thousandths place, how to write the decimals in word and expanded form, and the value of each place. As seen in class and previous assignments, most of the class have learned these skills and are ready to master them with practice. Curricular Standards: Identify the primary state standard(s) this lesson is designed to help students attain. (If required, include the national and/or local standards as well.) National Council of Teachers of Mathematics Principals and Standards Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals. Recognize equivalent representations for the same number and generate them by decomposing and composing numbers. 2010 Connecticut Prekindergarten–Grade 8 Mathematics Curriculum Standards Standard: 2.1 Understand that a variety of numerical representations can be used to describe quantitative relationships. Construct and use models, number patterns and pictorial representations to extend place value concepts and patterns to decimals. For example: 0.1 is one-tenth of one and 0.01 is one onehundredth of one and one-tenth of one-tenth. Milford Public School Mathematics Curriculum Grade 5 Standard: 2.1 Understand that a variety of numerical representations can be used to describe quantitative relationships. Extend whole number place value patterns, models, and notations to include decimals, which are fractions that have denominators that are multiples of ten July 2010 University of New Haven 2010 - 2011 UNIVERSITY OF NEW HAVEN 2010 - 2011 Lesson Plan Format Student Learning Objective(s): Identify specific and measurable learning objectives for this lesson. Use action verbs. “Students will be able to….” Students will be able to recognize the tenths, hundredths, and thousandths places in decimals. Students will be able to identify the value of digits placed in each of the decimal places. Assessment: Part I: How will you check for student understanding during the lesson? (Formative) Students will be observed while doing their work during the lesson. Students will mainly be observed while doing work in small groups with the teacher, though they will be monitored while in the other two stations as well. Part II: How will you ask students to demonstrate mastery of the student learning objective(s)? Attach a copy of any assessment materials you will use, along with assessment criteria/rubric. (Formative or summative) The teacher will collect all of the worksheets completed during the lesson. These will be used to assess the students’ level of mastery of the subject. Materials/Resources: List the materials you will use in each learning activity including any technological resources. SMART Board activities for each group, SMART Board matching game for initiation, worksheet for low students, worksheet for middle students, decimal place value worksheet, hundredths blocks worksheet, directions for Group C Station 3, and directions for Group C Station 2. The Lesson Initiation: Part I - Briefly describe how you will introduce the lesson, engage students in the lesson and connect it to previous learning. (This is intended to motivate students.) Students will be invited to play a matching game on the SMART Board. The game will require students to match decimals in standard form to decimals in both word form and expanded form. Students have already been exposed to these forms of decimals, and should be able to match them when given options. Part II – (This is intended to bridge to the lesson: set expectations for learning, articulate to learners what they will be learning in this lesson and why this is important). The teacher will explain to the class that they will be separated into three groups for today’s lesson. Each group will rotate between three stations at fifteen minute intervals. Station 1 will be working with the teacher. Station 2 will be doing an activity on the SMART Board. Station 3 will allow the students to practice their acquired skills through the completion of worksheets. Students will then be told to think about the following question while they are working at the various stations: What is a useful strategy in identifying the value of a digit within a decimal? The students will be told that they will revisit this question later on. They should be creating an answer to the question during the lesson so that they can contribute to the discussion later on. July 2010 University of New Haven 2010 - 2011 UNIVERSITY OF NEW HAVEN 2010 - 2011 Lesson Plan Format The teacher will then split the class into three groups. Group A will consist of the lower achieving students. Group B will be made up of middle level students. Group C will include the higher achieving students. Students will then be sent to their first station. Lesson Development: Describe how you will develop the lesson: what you will do to model or guide practice and the learning activities students will be engaged in to gain the key knowledge and skills identified in the student learning objective(s). Include the questions you will ask, identify and explain the instructional grouping (whole class, small groups, pairs, individuals) for each lesson segment, and include the approximate times for each. Include reference to Bloom’s taxonomy to identify higher levels of thinking. In the first session (15 minutes), Group A will be at Station 1, Group B will go to Station 2, and Group C will work at Station 3. Group B will be playing a game of concentration on the SMART Board. The cards in the game will require the students to match decimals in standard form to those in either word or expanded form. Students will click on two cards to flip them over and try to match the decimals. This activity will allow the students to apply their knowledge of place value in an alternative setting (application). Group C will create five word problems each regarding place values in decimals (synthesis). These questions can be regarding converting decimals between standard, expanded, and word form, naming the value or certain digits in a decimal, rounding decimals, or shading in hundredths blocks to match decimals. The problems that they create will be used when Group C meets with the teacher. Group A will work with the teacher to review place value of decimals. This group will be given the decimal place value worksheet to help them line up their numbers when solving the problems. Using this worksheet, the teacher will review the various topics of decimal place value, focusing the students’ attention on understanding what each place represents. Examples of the topics to be covered will include identifying the place of underlined digits, converting decimals from standard form to word form, and identifying the value of certain digits in a decimal (knowledge and application). The teacher will give the group various examples of these questions to model how to use the place value chart and how to apply it to the questions. The teacher will show students how to do so at first, and will allow the students to try some examples on their own by the end of the session. Once 15 minutes have passed the teacher will ask students to stop what they are doing and switch to their next station. In this session, Group A will move to Station 3, Group B will move to Station 1, and Group C will move to Station 2. In this session, Group A will be doing independent work. They will be given a worksheet that covers the topics that were discussed during their meeting with the teacher. The time spent in this session will allow the students to apply the method of using the place value chart to complete the questions on the worksheet (application). Group C will be doing an activity on the SMART Board. They will be playing a pre-made game of Decimal Relay. They will need to split up so that there are two through four teams. In this game, the students will roll a dice six times per turn and record the numbers in a place value chart ranging from the hundreds place through the thousandths place. The object of the game is to create the largest number out of the six numbers they rolled (synthesis). The first player to reach the finish box on the game board wins. Group B will work with the teacher in this session. During this time, they will be given the option of whether or not they want to use the place value chart to complete their work. The July 2010 University of New Haven 2010 - 2011 UNIVERSITY OF NEW HAVEN 2010 - 2011 Lesson Plan Format teacher will review with the students how to convert decimals from standard form to expanded form. Students will be able to show the teacher that they have mastered this skill by converting the numbers on the whiteboard (knowledge). The teacher will then show students how the value of a decimal changes if one of the digits is replaced with a new number. An example of this type of problem is: The value of 14.23 would change by how much if the 3 were replaced with a 7? The teacher will model for the students how to answer this type of question, and then allow the students to answer examples with help of the teacher (comprehension). The teacher will field any questions the students may have during the session. After 15 minutes, the teacher will ask the students to move on to the final session. Group A will move to Station 2, Group B will move to Station 3, and Group C will move to Station 1. Group A will play a matching game on the SMART Board. They will be playing a game of concentration where they will need to click on two cards to turn them over and match similar cards. The game will require the students to match decimals in standard form to those in word form (application). Group B will work on a worksheet to develop the skills they worked on while meeting with the teacher in the previous session. The worksheet will ask the students to convert decimals from standard form to expanded form as well as determine how the value of a decimal changes when one digit is replaced by a new one (application). If the students finish the worksheet early, they will correct it together. Group C will work with the teacher in the final session. This group will use the word problems that they created in the first session. Each student will be asked to share a few of their created questions with the group. They will test the others in the group with their questions (evaluation, application). The students will be able to ask each other questions about the problems, or ask the teacher any questions they might have. Closure: Briefly describe how you will close the lesson, help students understand the purpose of the lesson, and show how it will connect to future learning. (Rather than an administrative closure, interact with learners to elicit evidence of student understanding of purpose(s) for learning and mastery of objectives) After the final session has ended, the teacher will ask the students to return to their desks with any papers or worksheets they used during the sessions. The students will then be redirected to the question asked in the beginning of the lesson: What is a useful strategy in identifying the value of a digit within a decimal? Students will do a think-pair-share to discuss the question. The teacher will direct students to talk to a partner about the strategy they use, and will then share their thoughts with the class. Individuals Needing Differentiated Instruction: Describe students with learning differences. These students may be special or general education students and need not be the same students for each lesson. Students may represent a range of ability and/or achievement levels, including students with IEPs, gifted and talented students, struggling learners, and English language learners. Note: Differentiated instruction may not be necessary in every lesson. However, for formal, scripted observations and in lessons included in the portfolio, it is expected that each student teacher will demonstrate the ability to plan and implement differentiated instruction in order to meet the needs of students at both ends of the learning spectrum. Remember: differentiation means “different”, not more; differentiation should focus on learning, not behavior. Which students do you anticipate may struggle with the activities and/or learning objectives of this lesson? Student initials Evidence that the student needs How will you differentiate instruction in this lesson to support student differentiated instruction learning? July 2010 University of New Haven 2010 - 2011 UNIVERSITY OF NEW HAVEN 2010 - 2011 Lesson Plan Format Students in Group A Learning need related to this lesson: Students in Group A have trouble identifying the value of digits in decimals. Evidence: Students in Group A struggle to identify the value of a digit without the help of a place value chart. Although they have the ability to identify the value of certain digits, they need help breaking the decimals down into their individual parts. Students in Group A will be given direct instruction in a small group on how to use the place value chart effectively. For the purposes of the worksheet they will complete for Station 3, their group will meet with the teacher first so that they can use what they learned about the chart on the worksheet. Which students will need opportunities for enrichment and/or higher level of challenge? Student initials Evidence that the student needs How will you differentiate instruction in this lesson to support student differentiated instruction learning? Students in Group C Learning need related to this lesson: Students in Group C have mastered the skill of identifying the value of digits in a decimal. Evidence: Students in Group C have been the first students to finish their work when assigned in class. Once their work is complete, they are encouraged to offer help to the students around them who are struggling with the work. Students in Group C will be creating their own word problems when doing independent work. They will not only be assessed on their ability to answer the questions asked of them, but also on the quality of the questions they create. Notes from conferences July 2010 University of New Haven 2010 - 2011 UNIVERSITY OF NEW HAVEN 2010 - 2011 Lesson Plan Format July 2010 University of New Haven 2010 - 2011