Title Grade SBAC Assessment Claim Learning Goal Item Type Standards Practice(s) Depth of Knowledge Task Overview Baking and Bagging the Cookies 3 Problem Solving- Students can solve a range of complex wellposed problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies. Develop understanding of multiplication and division by solving problems using strategies that include creating equal groups of objects, arrays of objects, and comparisons. Performance Task OA.3: Interpret products of whole numbers OA.2: Interpret quotients of whole numbers OA.3: Use multiplication and division within 100 to solve word problems OA.4: Determine unknown whole number in multiplication and division equations 1, 2, 3, 4, 6 2,3 Students will engage in constructed response contextual tasks involving multiplication and division. Tasks include a variety of problem situations (eg., unknown product, group size unknown, number of groups unknown) of increasing complexity. Students will represent their thinking in multiple ways (eg., pictorially, symbolically, textually) to demonstrate conceptual understanding. Third Grade Operations and Algebraic Thinking Claim: Develop understanding of multiplication and division by solving problems using strategies that include creating equal groups of objects, arrays of objects, and comparisons. Evidence Statement: Student work is characterized by: Representing products and quotients concretely, pictorially, and abstractly. Noticing, exploring, and articulating generalizations (ex: patterns and structure) related to multiplication and division concepts and operations both verbally and in writing. Constructing and critiquing arguments to support problem solutions related to multiplication and division. Solving a variety of multiplication and division problems that present situations of unknown product, group size unknown, and number of groups unknown. Baking and Bagging Cookies Cookie Monster is baking cookies and needs to give some cookies away so that he can stop eating them all. He plans to share the cookies with his friends. Task One Answer the questions to help _______. 1. There are 3 bags with 8 cookies in each bag. How many cookies are there in all? Explain your thinking with a picture and a number sentence. 2. If 72 cookies are packed 8 to a bag, how many bags will Cookie Monster need? Explain your thinking with a picture and a number sentence. Task Two 3. A cookie sheet holds 24 cookies. There are 4 cookies in one row. How many rows are there on one cookie sheet? Draw the cookie sheet with the cookies. 4a. If Cookie Monster needs to bake 56 cookies, how many cookie sheets will he need? Explain your thinking with a picture or number sentence. 4b. Will all the cookie sheets be full? Why or why not? Explain your thinking and show your work. Task Three 5. How many bags of 8 cookies will one cookie sheet make? Show your work with a picture and a number sentence. 6a. If Cookie Monster received an order for 48 cookies, how many bags of 8 will he need? Draw and label the bags. 6b. How many cookie sheets will he need? Show your work with pictures and number sentences. Performance Task a.) Cookie Monster has different sized bags. From 1 cookie sheet, if each bag contains 1 cookie, how many bags will be needed? Explain your thinking in words. b.) If each bag holds 2 cookies, how many bags will be needed? Explain your thinking with a picture. c.) Give at least three examples of how to pack equal-size bags using all the cookies from one cookie sheet. Explain your thinking with a picture, number sentence, and words. Baking and Bagging Cookies Credit for specific aspects of performance should be given as follows: 1. 24 cookies (correct answer) Explain thinking (this may include a correct process but incorrect arithmetic) 2. 9 bags (correct answer) Explain thinking (this may include a correct process but incorrect arithmetic) 3. Picture of a cookie sheet with 6 rows of 4 cookies each 4. a. 3 cookie sheets (correct answer) Explain thinking (this may include a correct process but incorrect arithmetic) b. No (correct answer) Response should include some of these “look-fors” 2 trays will be full and 1 tray will not be full 24 + 24 = 48 48 is not equal to 56 56 – 48 = 8 Picture of 3 cookie sheets (2 are full and one is not) 5. 3 bags (correct answer) Explain thinking (this may include a correct process but incorrect arithmetic) 6. a. 6 bags (correct answer) Picture of 6 bags with either the number 8 written on each bag or a picture representation of 8 cookies in each bag b. 2 cookie sheets (correct answer) Explain thinking (this may include a correct process but incorrect arithmetic) Performance Task a. 24 bags (correct answer) Explain thinking in words (this may include a correct process but incorrect arithmetic) b. 12 bags (correct answer) Explain thinking with a picture (this may include a correct process but incorrect arithmetic) c. Correct answer (at least 3 correct responses) Work must be shown in at least 3 different methods - words, pictures, number sentences, charts (this may include a correct process but incorrect arithmetic) Points 1 point 1 point Total Points 2 points 1 point 1 point 2 points 1 point 1 point 1 point 1 point 3 points 1 point 1 point 1 point 2 points 1 point 1 point 4 points 1 point 1 point 6 points 1 point 1 point 1 point 1point 1 point 1 point Total Points 20 points