Lesson Study Group Members: Joanne Sweet, Judy Barker, Anel Rodriguez, Tasha Guess, Jeff Brotnov, and Amanpreet Gill. Grade Level: 3-5th Grade Title Lesson: Addition Properties Part I: Planning to Teach 1.) Research Goal: We will structure a learning situation that will develop students who are confident, engaged, and are willing to attempt to use multiple methods to accurately solve problems. 2.) Lesson Intent: Students will be able to represent and explain in multiple ways the Commutative Property of Addition. 3.) Rationale/ Standards met: 3rd Grade-Algebra Functions: Students select appropriate symbols, operations, and properties to represent, describe, simplify, and solve simple number relationships. 4th Grade: Algebra Functions: Students use and interpret various mathematical symbols and properties to write and simplify expressions and sentences. 5th Grade: Number Sense: Students compute with very large and very small numbers, positive integers, decimals, and fractions and understand the relationship between decimals, fractions, and percents. They understand the relative magnitude of numbers. 4.) Prerequisite Skills needed for lesson: a.) Vocabulary: addition, number, number sentence, equal, addend, sum, total, b.) Math concepts: Addition of numbers in different combinations and orders. 5.) Vocabulary learned in lesson: Commutative Property of Addition and commutative pairs 6.) Plan for Differentiation- Strips of 20 squares are available as support for any group listed below. * Benchmark Group: (Making Progress) Modifications: * Strategic Group: (Special needs, below grade level standards, Mid to advanced EL students) Modifications: * Intensive Group: (At risk students, intensive EL students) Modifications: 7. Materials/Manipulatives/Technology: • SmartBoard, Document Camera, 1 inch grid paper cut into strips of specific lengths and color coded, Poster Paper: Prep poster paper with designated areas of gluing number sentences. Each box should be a different color. Name and Date Area at top of poster. Teacher Note: Label the title area as “Title: ____________), markers, glue sticks, sentence strip(to glue on with a dot to show where to start gluing) 8. Plan for Assessment & Analysis of Student Learning: • Entry Level • Progress Monitoring – • Summative6.) References: Part II: Procedures for the Lesson Total time allotted for the lesson: 60 minutes T= Teacher Script PS: Possible Student Responses Time Breakdown A: Activities TS: Teacher Support Lesson Plan: *Teacher Dialogue/Script Possible Student Points of Evaluation: Responses/Teacher Support Entry Level, Progress Monitoring, Summative *Activities 10 minutes T: Tell your partner PS: what you know about addition. Choose volunteers to share their TS: thoughts. “By the end of today’s lesson, we are going to learn a property that will make it easier for you to add numbers.” “We will use the paper strips to explore the relationships between pairs of numbers. All of you have an orange and blue strip, and a sentence strip. (Teacher will model what each one looks like.) “Take your orange strip and glue it on the sentence strip covering the dot. Make sure the dot is on the LEFT side. Then count the orange squares and write the Teacher will monitor as needed. number under the strip.” (Teacher will model and students will follow.) 5-8 min “Next, take your blue strip and glue it so it touches the orange strip.” Then count the blue squares and write the number under the blue strip.” (Teacher will model.) PS: What’s a number sentence? TS: Teacher will model a number sentence. 7+9=16 “Write an addition number sentence showing the sum of your orange and blue strips.” (Teacher monitors using the 7+9 strip) Ask a student to answer how many total squares is it. They are the same Then ask what the total amount…etc. length is. Ask if they notice anything about the total squares and total length. “When I tell you to move, find a partner that has the same total length as you. Does anyone have any questions? Now you may find your partner and sit down together at any desk.” (Have the instructions on the SmartBoard displayed.) 5min. You now have 2 minutes to discuss similarities and differences with your set of strips. Let’s see if you can come up with an idea that no one else can think of. -We both have blue/orange strips Teacher will guide students as needed. -The total length is the same -The order of the numbers is different but the sum is the Pick volunteers who have same. something to share. (Teacher will just listen and not guide.) 5 min. T: Glue both of your number sentences in the Desired Outcome: top two blocks of the poster paper. (Use When you add the same Poster Paper as listed in two numbers, it doesn’t materials) When you are matter what order you done gluing, put your glue add it in (or what sticks away. number comes first). (Allow 2 minutes) T: Under your strips Possible answers same write a word sentence as above. explaining what you noticed about both of your colored strips. Decide which one of you will be writing and who will be presenting your word sentence. (Allow 2-3 minutes) Monitor students and have students who understand present their sentences T: Come post your posters at front of board. Students will present their number sentences. T: “Go back and sit with your partners.” Teacher will pick out correct answers and will reinforce them. We heard someone say that order doesn’t matter (ask if order matters if it is not mentioned beforehand), let’s see if that true with other problems. 2+3=5 3+2=5 So then that means 2+3=3+2 Let’s go back to my number sentence…what is the length? (Teacher flips the paper) Does the length change? 5 min. T: “All these ideas have a name. It is called the Commutative Property of Addition. (Teacher will write it on the board and have students repeat name of property.) T: “So the main idea of Commutative Property of Addition is that when we add the same numbers in a different order we get the same answer.” The teacher will use set of strips (used before to model how to glue and 9+7 strip) to model how to write a number sentence for it. 7+9=9+7 7+9=9+7…these are called Commutative Pairs 5-7 min. Have students pick up their posters and work on combining their number sentences at their desk. Have the students write Commutative Property on top of poster. (Have students post the posters back up while teacher passes out worksheets)*** 5-7 min. Who can tell me two numbers that equal to 20? If students say it is 20, teacher will say you’re Have students write the commutative pairs while you write it on the SmartBoard. (Teacher will use numbers given and use the strip of 20 to model.) They will complete the ___ +__=20 on their worksheet as teacher models. 5-7 min. Now using the commutative property what two numbers would go on the other side of the equal sign? (Students will fill in number sentence as teacher models.) (Each pair of students will be given a strip of 20 squares for support if needed.) T: Now your challenge is to continue finding (with the same partner) other commutative pairs that also equal to 20 and write them in number sentences. right that is the sum, but it doesn’t show the Commutative Property. 17+3 if this was said then say this does equal 20 but it’s not using the Commutative Property. Ask what is a commutative pair? Point them out on SmartBoard. (Students will write this on bottom of worksheet). (Allow 2-3 minutes)*** Teacher will ask students with correct responses to show their chosen commutative pairs on the document camera. 5 min. Indiv. Quick Write: What property of addition did you learn about today? Explain and show an example. Does the Commutative Property work with other operations such as subtraction or multiplication? Part III: Reflecting on Student Learning Outcomes after You Teach the Lesson