Fifth Grade
MultiDigit Multiplication and Division (Whole Numbers)
(And practice with multiplication fact automaticity)
4 Weeks: August 1  26, 2016
Curricular Resource
Investigations  Unit 1:Number Puzzles and Multiplication Towers (Mult. and Div. 1)
Math Expressions  Unit 4: Multiplication with Whole Numbers and Decimals
Unit 5: Division with Whole Numbers and Decimals
Investigations  Unit 1:Number Puzzles and Multiplication Towers (Mult. and Div. 1)
Math Expressions  Unit 4: Multiplication with Whole Numbers and Decimals
Unit 5: Division with Whole Numbers and Decimals
Note: The team discussed wanting to start the year building on student proficiency with multiplication and division of whole numbers before jumping into the major work of fractions. We also want to support continued growth in adding and subtracting whole numbers which we will do through Number Talks and games. We feel a strong foundation with whole number operations will support sense making with fraction operations. The first unit in Investigations will support student conceptual understanding and procedural fluency with multiplication and division of whole numbers as the experiences build on models students were exposed to in fourth grade and provide an approach, time, space for students to make sense. Utilizing the "math workshop" structure will support an engaging math environment and allow us to build in time for math fact practice and to add in some addition and subtraction games. In order to utilize the related practice available in Math Expressions, we can use the first five lessons in each of Units 4 & 5 but will have to wait to use the remainder of those chapters as they focus on decimals. Be a critical connoisseur when looking at the 10 ME lessons in this area as they tend to be extremely procedural and often confusing (see my notes in the plan below).
In the plan below, the year is launched by revisiting Candy Boxes, a rectangular array investigation which they did in 4th grade. The purpose is to establish a math environment where students are deeply engaging in thinking, reasoning, looking for structure, making conjectures, and debating mathematics  regularly engagement in the math practices. It is also a familiar experience which the students will be able to take to a higher level than they were able to in previous years. It provides a review (and sometimes introduction) to multiplicative patterns and properties in the number system as well as key vocabulary.
In the plan below, the year is launched by revisiting Candy Boxes, a rectangular array investigation which they did in 4th grade. The purpose is to establish a math environment where students are deeply engaging in thinking, reasoning, looking for structure, making conjectures, and debating mathematics  regularly engagement in the math practices. It is also a familiar experience which the students will be able to take to a higher level than they were able to in previous years. It provides a review (and sometimes introduction) to multiplicative patterns and properties in the number system as well as key vocabulary.
California Common Core Standards
Curriculum and Pacing
Week 1
Pacing 
Establishing a Rich Math Environment 
Multiplication Fact Fluency 
August 1  3 
Anchor Exploration: Candy Boxes English Candy Boxes Spanish Candy Boxes Additional Exploration: Two Ways to Count to Ten 
Go to Math Fact Fluency icon on the Main Curriculum and Assessment Page for a collection of activities students can use to practice their facts. Recommended weekly math fact work:

Pacing 
Investigations Unit 4 
Multiplication Fact Fluency 
August 45 
Investigation 1: Finding Factors and Prime Factors Session 1.1: Building and Using Arrays Resource Masters: English: M112 Quick Images M1314 Family Letter M15 Centimeter Paper Spanish: R112 Quick Images M1314 Family Letter R15 Centimeter Paper Session 1.2 Identifying Properties of Numbers Resource Masters: Quick Images and Centimeter paper from Session 1.1 English: M16 Sample Number Puzzles M31 300 Chart Spanish: R16 Sample Number Puzzles R31 300 Chart Session 1.3: What Numbers Have Which Properties? Resource Masters English: T14 Multiplication Combinations 1 T15 Multiplication Combinations Recording Sheet M16 Sample Number Puzzle M17  M22 Number Puzzles M31 300 Chart M23  24 Family Letter Spanish: R16 Sample Number Puzzles R1722 Number Puzzles R31 300 Chart R23  24 Family Letter 
Go to Math Fact Fluency icon on the Main Curriculum and Assessment Page for a collection of activities students can use to practice their facts. Games Pathways Times Ten Mult. Tic Tac Toe Factor Captor Target 300 Factor (Salute!) 
Week 2
Pacing 
Investigations Unit 4 
Math Expressions 
Multiplication Fact Fluency 
August 812 
Session 1.4 Multiplying with More Than Two Numbers Resource Masters: English: M30 Multiplication Combination Recording Sheet M2728 Family Letter Spanish: R30 Multiplication Combination Recording Sheet R2728 Family Letter Session 1.5 Assessment: Number Puzzles and Finding Factors Resource Masters: English: M17  M22 Number Puzzles M31 300 Chart M32 Number Puzzle Recording Sheet M33 Number Puzzles 1314 M34 Assessment Checklist Spanish: R1722 Number Puzzles R31 300 Chart R32 Number Puzzle Recording Sheet R33 Number Puzzles 1314 R34 Assessment Checklist Session 1.6 Number Puzzles and Finding Factors (continued) Resource Masters: English: M17  M22 Number Puzzles M30 Multiplication Combination Recording Sheet M31 300 Chart M32 Number Puzzle Recording Sheet M33 Number Puzzles 1314 M34 Assessment Checklist Spanish: R1722 Number Puzzles R31 300 Chart R30 Multiplication Combination Recording Sheet R32 Number Puzzle Recording Sheet R33 Number Puzzles 1314 R34 Assessment Checklist Session 1.7 Prime Factorization Resource Masters: English: M30 Multiplication Combination Recording Sheet Spanish: R30 Multiplication Combination Recording Sheet Investigation 2: Multiplication Strategies Session 2.1 Naming Multiplication Strategies Resource Masters English: M15 Cm. Grid Paper M3543 Number Puzzle Clue Cards Spanish: R15 Centimeter Paper R3543 Number Puzzle Clue Cards Session 2.2 Comparing Representations Resource Masters English: M3543 Number Puzzle Clue Cards Spanish: R3543 Number Puzzle Clue Cards 
ME Unit 4 Keep in mind that we are pushing for conceptual understanding and much of what is in these lessons focuses on replicating procedures. All problems are presented vertically and we know horizontal presentation invites students to use a variety of models and strategies. Lesson 1 Activity 2 Patterns in Multiplying with Zeroes TE 300 SB 118 Activity 3 Powers of 10 TE301302 SB 119120 HW75 Lesson 2 Fives Patterns SB 121122 HW 77 Lesson 3 Models for Multiplication TE 311316 PB 123124 HW 79 
Go to Math Fact Fluency icon on the Main Curriculum and Assessment Page for a collection of activities students can use to practice their facts. Games Pathways Times Ten Mult. Tic Tac Toe Factor Captor Target 300 Factor (Salute!) 
Week 3
Pacing 
Investigations Unit 4 
Math Expressions Unit 4 
Multiplication Fact Fluency 
August 1519 
Session 2.3 Which Product Is Greater? Resource Masters: English: M4445 Compare Cards M46 Multiplication Compare Spanish: R4445 Compare Cards R46 Multiplication Compare Session 2.4 Multiplication Cluster Problems Resource Masters: English: M4445 Compare Cards M46 Multiplication Compare M47 Multiplication Compare Recording Sheet M48M50 Digit Cards Spanish: R4445 Compare Cards R46 Multiplication Compare R47 Multiplication Compare Recording Sheet R48M50 Digit Cards Session 2.5 Multiplication Cluster Problems (continued) Resource Masters: Same as 2.4 (above) Session 2.6 How Do I Start? Session 2.7 Assessment: What Is the Answer? Resource Masters: English: M51 Assessment: What's the Answer? Spanish: R51 Assessment: What's the Answer? Investigation 3: Division Strategies Session 3.1 Solving a Division Problem Resource Masters: English: M15 Centimeter Paper M31 300 Chart Spanish: R15 Centimeter Paper R31 300 Chart Session 3.2 Multiple Towers Resource Masters: None 
ME Unit 4 Lesson 4 Multiply TwoDigit Numbers (extremely procedural and confusing) SB 128 HW 81 Lesson 5 More Practice with Multiplication SB 129130 
Go to Math Fact Fluency icon on the Main Curriculum and Assessment Page for a collection of activities students can use to practice their facts. Games Pathways Times Ten Mult. Tic Tac Toe Factor Captor Target 300 Factor (Salute!) 
Week 4
Pacing 
Investigations Unit 4 
Math Expressions Unit 5 
Multiplication Fact Fluency 
Aug. 2226 
Session 3.3 Solving More Division Problems Resource Masters: None Session 3.4 Multiplication and Division Relationships on the Multiple Tower Resource Masters: None Session 3.5 Division Cluster Problems Resource Masters: None Session 3.6 Practicing Division Strategies Resource Masters: English: M52 Division Compare M53 Division Compare Recording Sheet Spanish: R52 Division Compare R53 Division Compare Recording Sheet Session 3.7 Practicing Division Strategies (continued) Resource Masters: English: M52 Division Compare M53 Division Compare Recording Sheet Spanish: R52 Division Compare R53 Division Compare Recording Sheet Session 3.8 End of Unit Assessment Resource Masters: English: M5455 EndofUnit Assessment Spanish: R5455 EndofUnit Assessment 
Note: This unit has a pretty heavy procedural focus, often to the point of being flat out confusing. Nonetheless, there are some problem sets and homework pages that might be useful as long as you focus on students making sense and applying what they learned through the Investigations experiences. Lesson 1 Divide by 1digit # I recommend not doing this lesson at all  confusing for students. partial quotients and the area model are much more understandable for students. Lesson 2 Divide by 2digit # TE 397402 Do not do PB 167! (very confusing) PB168  the estimation focus here could be useful Lesson 3 Estimation (a pretty procedural approach to estimation  I recommend building estimation into your Number Talks and skipping this approach. Lesson 4 Interpret Remainders TE 409 PB 171173 (a reasonable set of problems) Lesson 5 Division Practice PB 175176 
Go to Math Fact Fluency icon on the Main Curriculum and Assessment Page for a collection of activities students can use to practice their facts. Games Pathways Times Ten Mult. Tic Tac Toe Factor Captor Target 300 Factor (Salute!) Leftovers with 100 