Domain/Standard Code: 1.OA.2 Author Name: Lexee, Kit, Sasha, Polly Page 1 Title of Task: __Farm Animals _____________________________________________________________________________________________________________________ Adapted from: Smith, Margaret Schwan, Victoria Bill, and Elizabeth K. Hughes. “Thinking Through a Lesson Protocol: Successfully Implementing High-Level Tasks.” Mathematics Teaching in the Middle School 14 (October 2008): 132-138. PART 1: SELECTING AND SETTING UP A MATHEMATICAL TASK (PREPARE) Mathematical Goal What are your mathematical goals Students will be able to add 3 whole numbers with a sum that is less than or equal to 20. for the lesson? (i.e., what do you want students to know and understand about mathematics as a result of this lesson?) What are your expectations for Students will find one or more combinations of the 3 kinds of animal legs to equal the sum of 20 students as they work on and legs. (hens, cows, horses). complete this task? Strategies What resources or tools will Counting on students have to use in their Drawing—pictorial representation work that will give them Objects entry into, and help them Using known math facts reason through, the task? How will the students work— independently, in small groups, or Tools Animal pictures or figures in pairs—to explore this task? Problem on Paper with 3 addend sentences template, pencil How will students record and Cubes report their work? Number line Hundreds chart Students will work independently at first, pair share, then discuss as a class. Students will record their work on the story problem paper and report to a partner. Students are required to draw and label a picture of their animals and write a number sentence. For example ___cow legs + __hen legs + ___horse legs= 20 animal legs. The teacher will select students to report during the discussion phase of the lesson. Other students will respond to and question each other. Domain/Standard Code: 1.OA.2 Author Name: Lexee, Kit, Sasha, Polly Page 2 Title of Task: __Farm Animals _____________________________________________________________________________________________________________________ How will you introduce students to the activity so as to provide access to all students while maintaining the cognitive demands of the task? LAUNCH You live on a farm. In your barn you have hens, cows and horses. There are 20 animal legs in the barn altogether. How many of each kind of animal is in the barn to equal 20 legs? Domain/Standard Code: 1.OA.2 Author Name: Lexee, Kit, Sasha, Polly Page 3 Title of Task: __Farm Animals _____________________________________________________________________________________________________________________ PART 2: SUPPORTING STUDENTS’ EXPLORATION OF THE TASK (EXPLORE) Domain/Standard Code: 1.OA.2 Author Name: Lexee, Kit, Sasha, Polly Page 4 Title of Task: __Farm Animals _____________________________________________________________________________________________________________________ Launch Questions: As students work independently or in When I was a little girl I would go and visit my grandpa and his barn. He had all sorts of animals. small groups, what questions will What kind of animals would you see in a barn? Today you are going to create a barn with you ask to— different animals…launch question. You can also Youtube or read a farm book. help a group get started or make progress on the task? Clarifying Task Questions: focus students’ thinking on the What do you know? What are you trying to figure out? How can you get started? What tools can key mathematical ideas in the you use? task? assess students’ understanding of key mathematical ideas, problem- Focus Questions: How do you know? What two numbers did you add first? Why did you add those first? Can you solving strategies, or the try another way? Can you add two other numbers first? Can you tell me more about it? representations? advance students’ understanding Assessing Questions: of the mathematical ideas? How did you come to that answer? Will you explain that to me? What does that mean? How can you use labels to show your thinking? Advanced Questions: Are there other combinations that you could make? Can you explain that to your partner? How will you ensure that students remain engaged in the task? What assistance will you give or what questions will you ask a student (or group) who becomes quickly frustrated and requests more direction and guidance is solving the task? What will you do if a student (or group) finishes the task almost immediately? How will you extend the task so as to provide additional challenge? Assistance: Take your low group back to your desk the day before and do a similar problem together. Give manipulatives Do it with a partner Start a strategy and have the student finish it Extension: Increase the number of animal legs or add a new kind of animal Have student show it in a different way Have student use a different strategy Domain/Standard Code: 1.OA.2 Author Name: Lexee, Kit, Sasha, Polly Page 5 Title of Task: __Farm Animals _____________________________________________________________________________________________________________________ PART 3: SHARING AND DISCUSSING THE TASK (DISCUSS/DEBRIEF) Solution Path: How will you orchestrate the class discussion so that you accomplish your mathematical goals? First have students share strategies with a partner. Pick 3 students to share their work with the whole group on the document camera. Which solution paths do you want Choose students who represent different strategies. to have shared during the class discussion? In what order will Specific Questions: the solutions be presented? Why? Questions & Compliments for student reporting What specific questions will you ask Would this work for all groups of numbers? so that students will— How is this strategy similar or different from your strategy? 1. make sense of the Which strategy is most efficient (quick and smart)? mathematical ideas that you Can you explain your thinking? want them to learn? 2. expand on, debate, and question What will you see or hear? the solutions being shared? Pre-selected students show work on the document camera. 3. make connections among the Students questioning, commenting, and complimenting to create mathematical different strategies that are arguments presented? Students examining strategies and proving them to determine accuracy. 4. look for patterns? 5. begin to form generalizations? What will you see or hear that lets you know that all students in the class understand the mathematical ideas that you intended for them to learn? Domain/Standard Code: 1.OA.2 Author Name: Lexee, Kit, Sasha, Polly Page 6 Title of Task: __Farm Animals _____________________________________________________________________________________________________________________