Research Lesson Grade 4th Date: Feb 3, 2010 (Wed) Title of Lesson: Cookie Dough Equivalence Standard: NS 1.19 Objective: By the end of the lesson the students will be able to demonstrate their understanding of equivalent fractions via student work. Lesson Background: Knowledge of fractions, measuring while cooking experiences Lesson Process: Phase 1 Teacher Introduction (5-7 min): Talk about prior work with fractions and the meaning of fractions. Ask students to brainstorm what they know about fractions. Write ideas from students on board. Vocabulary: fractions Student Students brainstorm what they know about fractions. Where have you used fractions at home? How many of you have ever helped your mom or dad cook? Vocabulary: measure “I” DO Students share experiences using fractions at home, cooking and measuring. Teacher Modeling (3-5 minutes): (if needed) Explain materials available to use: measuring cups and sugar. Show the students a measuring cup and demonstrate how to measure out ½ cup of sugar. Explain that ½ is the amount needed. Ask student to draw picture of the *students don’t know what a measuring cup is Ask “ does anyone know what this is? Can you tell me what this is used for”? *students won’t know how to measure out ingredients Show students how to level out the ingredient Challenge (20 minutes): I have to bake cookies for students in grades 3, 4, 5, and 6? Each grade level must have a different type of cookie. My problem is: I only have 1 measuring cup that is labeled ¼, ½, ¾, and 1 cup. But the 4 recipes require sugar as follows: ¼ cup, 2/4 cup, 4/8 cup, and 6/8 cup. How can I measure out the proper amount of sugar for each recipe? Anticipated Outcomes Teacher Questions *students may be confused that ½ and 2/4 are equal. Ask a student to explain why1/2 and 2/4 are the same. Have them demo. Have a student read the challenge to whole class. Students work in groups of 3. 12 Groups Have students read challenge in groups and identify what they need to find out. Each *students are unable to student must participate. measure out ingredients. Go back to 1/2 and have the students measure it out as well. Phase 2 Teacher Teacher monitors student thinking, asking probing questions, checking for understanding. Once most groups are done, have each group post paper on board for sharing. Ask students to review posters and decide which ones used similar thinking. Have students explain why they think solutions were similar. Group similar solutions. Choose unique or misconception solutions for explanation. “WE” DO Student Student groups demonstrate their thinking on poster paper. Post work on board. Students review posters and think about similarities. Students respond to teacher questioning about similarities. Student groups share solutions either through explanation or demonstration. Describe your thinking? Ask if any other students thought the same way? What relation does ¼ and ½, ½ and 2/4 have, ¼ and 2/4, ½ and ¾, ¾ and 6/8, ¾ and 1 cup, etc.? What does ____ mean? How does it connect with the problem? Promote student questions and clarifications. Show me. Anticipated Outcomes Teacher Questions *If teacher notices students are unable to accomplish task, have one group demonstrate how they figured out the ¼ and 2/4 cup. *students present quickly and there is extra time. The class is given twelfths and asked to find the equivalents in their groups. Students discover equal values: 2/4 = ½=4/8 ¾ = 6/8 2/8=1/4 Need 2 ¼ to equal ½. Need 3 ¼ to equal ¾ Equivalent fractions: fractions with the same value *students may not be able to convert the measurements Ask the student to measure out 1/2 and have them demonstrate how to pour that into the eighths cup to fins the equivalent fraction As children finish, as early finishers to complete the extension problem. Extension 1: If students understand, ask them to help you figure out how to measure out 2/8 cup, 1/8 cup, 3/8 cup, 7/8 cup. Phase 3 Teacher Extension 2: suppose the recipes called for 3/12 cup, 6/12 cup, 9/12 cup? “YOU” What did you find to be the easiest? Most difficult? Why? Student Independent or Guided Practice: Extension 1 and 2 Anticipated Outcomes Teacher Questions DO Close: Thank you for helping me with this challenge. Students respond to questions. What did you discover? How do you know? What did you notice? T writes comments on board. Summarize: equivalent fractions, objective Materials: 12 measuring cups with ¼, ½, ¾, and 1 Cup marked on them, poster paper and markers. Evaluation of the Lesson: I have to bake cookies for students in grades 3, 4, 5, and 6? Each grade level must have a different type of cookie. My problem is: I only have one measuring cup labeled ¼, ½, ¾, and 1 cup. The 4 recipes require sugar in the following amounts: ¼ cup, 2/4 cup, 4/8 cup, and 6/8 cup. How can I measure out the correct amount of sugar for each recipe?
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