Subject/Grade or Course: 3rd grade Math Major (m) Common Core Standards for the Unit: 3.OA.1 3.0A.2 3.OA.3 3.OA.4 3.OA.6 Unit Name: Introduction to Multiplication/Division Supporting and Additional (s/a) Common Core Standards for the Unit: (mathematical practices) MP.1 MP.2 Pacing: 4-6 weeks Bridging Common Core Standards from Previous Grade(s): 2.OA.3 2.OA.4 Subject/Grade or Course: 3rd grade Math Common Core Major (m) Standard # from above: 3.OA.1: Interpret products of whole numbers 3.OA.2: Interpret whole-number quotients of whole numbers 3.OA.3: Use multiplication and division within 100 to solve word problems 3.OA.4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers 3. OA.6: Understand division as an unknown-factor problem Unit Name: Introduction to Multiplication/Division Common Core Supporting / Additional (s/a) Standards # from above: (mathematical practices) MP.1: Make sense of word problems and Common Core Bridging Standards from Previous Grade(s) # from above: 2.OA.3: Determine whether a group of objects (up persevere in solving them MP.4: Model with mathematics Structure of Math / Overarching Understanding(s): Learn multiplication facts within 100. Understand multiplication as a number of groups with an equal number of objects in each group. Learn multiplication/division number bonds. Understand division as a number of objects partitioned into equal groups. Understand division as an unknown factor problem. Pacing: 4-6 weeks to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2’s; write an equation to express an even number as a sum of two equal addends. 2.OA.4: Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends. Essential Questions: In what situations do we use multiplication and division to solve problems? What is the relationship between multiplication and division? STUDENT-FRIENDLY LEARNING TARGET STATEMENTS Learning Targets 3. OA.1: Interpret products of whole numbers. 3. OA.2: Interpret whole-number quotients of whole numbers. 3. OA.3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays and measurement quantities. I know that in multiplication, the x symbol means “groups of”. So 5x3 means 5 groups of 3 things. I can use division to find out how many objects are in one group. Ex. There are 15 cupcakes. If I put the cupcakes into 3 boxes, how many cupcakes will be in each box? I can use division as repeated subtraction to find out how many groups I can make. Ex. There are 15 cupcakes. If I put 5 cupcakes into each box, how many boxes will I need? I can use many different strategies to figure out multiplication and division word problems. Ex. Tables, arrays, pictures, number lines, fact families, missing numbers. I know that the = symbol means “the same as”. Subject/Grade or Course: 3rd grade Math Unit Name: Introduction to Multiplication/Division Pacing: 4-6 weeks 3. OA.4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers. 3.OA.6: Understand division as an unknownfactor problem. I can use fact families and my knowledge that multiplication is the opposite of division to figure out missing numbers. I can use part-part-whole and fact families to solve a division problem. Assessment Tasks that Provide Evidence for Claims including DOK Materials/Resources Teacher Notes Claim #1/DOK 2, 3 Given a set of color tiles, student will be able to make an array on a piece of grid paper. Through their own discovery they can understand the relationship of an array to multiplication. Claim #2/DOK 2, 3 Students will be able to explore the creation and use of factors and products through the use of cups and beans. Claim #3/DOK 1, 2, 3 Using the book Six Dinner Sid and Two Dinner Tom by, Inga Moore, students will be able to understand and draw conclusions about the identity property of one. Claim #4/DOK 4 Students will be able to synthesize their knowledge of arrays and their relationship to multiplication/division by creating a “real life” array from a photograph, drawing or manipulative. #1: Color tiles, grid paper #2: Cups, beans, and dice #3: Six Dinner Sid and Two Dinner Tom by, Inga Moore, #4: Photographs, drawings or manipulatives The idea for this third grade common core unit came from: http://schools.nyc.gov/Academics/CommonCoreLibrary/TasksUnitsStudentWork/default.htm