In this unit, students will begin to gain an understanding of multiplication by building on 2nd grade knowledge of and practice with repeated addition and arrays. They will learn the importance of seeing a group of items as a single unit and that a group contains a given number of objects. Students will connect the operations of multiplication and division.
Key Concepts:
 Products of whole numbers can be interpreted as a number of groups of a number of objects. (Lesson 1)
 Quotients of whole numbers can be interpreted as either a number of shares (partitive or distribution division) or a number of groups (quotative or measurement division). (Lesson 3)
 We can use drawings and equations to represent and solve multiplication and division situational problems involving equal groups and arrays. (Lesson 6)
 We can use strategies such as the relationship between multiplication and division or properties of operations to multiply and divide. (Lesson 8)
Prior Knowledge Needed:
 Determine whether a group contains an odd or even number of items and represent even numbers as the sum of two equal addends; (Grade 2, Unit 12; 2.OA.C.3)
 Use addition to find the total number of objects arranged in rectangular arrays up to 5 by 5 and write equations to express the total as a sum of equal addends; (Grade 2, Unit 13; 2.OA.C.4)
 Count within 1,000 and skipcount by 5’s and 10’s; (Grade 2, Units 4 and 6; 2.NBT.A.2)
 Count within 1,000 and skipcount by 100’s; (Grade 2, Unit 8; 2.NBT.A.2)
Units on the Horizon:
 Understanding the relationship between multiplication and division (Grade 3, Unit 7)
 Developing strategies for multiplication and division (Grade 3, Unit 9)
 Solving problems involving area (Grade 3, Unit 12)
Lessons 12 (2 days)
Key Concept 1: Products of whole numbers can be interpreted as a number of groups of a number of objects.

Lesson objective: Understand that multiplication is an operation that uses a number of equal groups to show the total number of objects. Students bring prior knowledge of repeated addition of equal groups from 2.O.A.4. This prior knowledge is extended t...

Lesson objective: Students will practice their understanding of multiplication. They will recognize the importance of seeing a group of items as a single unit and that a group contains a given number of objects. Students bring prior knowledge of repeate...
Lessons 35 (3 days)
Key Concept 2: Quotients of whole numbers can be interpreted as either a number of shares (partitive or distribution division) or a number of groups (quotative or measurement division).

Lesson objective: Students will understand and apply the meanings of division to represent models and solve word problems. Students bring prior knowledge of models for math (arrays) from 2.OA.3. This prior knowledge is extended to the representation of ...

Lesson objective: Divide and apply the meanings of division to represent models and solve word problems. This lesson helps to build procedural skill with representation of division. Models of equal groups, repeated subtraction and the number line are us...

Lesson objective: Students will apply their knowledge of using models to represent division and multiplication. This lesson provides an opportunity for students to apply their knowledge and understanding of using models to a mathematical situation. Stud...
Lessons 67 (2 days)
Key Concept 3: We can use drawings and equations to represent and solve multiplication and division situational problems involving equal groups and arrays.

Lesson objective: to extend understanding that drawings and equations can be used to represent and solve multiplication and division situational problems. Students bring prior knowledge of unitizing and definitions of division from 3.OA.1. This prior kn...

Lesson objective: Students will multiply or divide to solve word problems involving equal groups or arrays. This lesson helps to build fluency with multiplicaton and division. Unitizing is used here because it supports the students developing understand...
Lessons 810 (3 days)
Key Concept 4: We can use strategies such as the relationship between multiplication and division or properties of operations to multiply and divide.

Lesson objective: Extend understanding of operation relationships by solving problems using patterns and the relationship between multiplication and division. Students bring prior knowledge of division and multiplication from 3.OA.1 and 3.OA.2. This pri...

Lesson objective: Multiply and divide using patterns, properties of operations and inverse relationship of multiplication and division This lesson helps to build fluency with multiplication and division. Patterns and properties are used here because "it...

Lesson objective: Apply strategies such as the relationship between multiplication and division or properties of operations to multiply and divide. This lesson provides an opportunity for students to apply their knowledge and understanding of using stra...