4th Grade Connecting Multiplication and Division
Note: Mult. & Div: Part 1 and 2 is presented in a total of 7 weeks. Multi.& Div. Part 1 includes weeks 1 4 and Multi. & Div. Part 2 includes weeks 5 to 7.
(links need to be fixed)
(Investigations Unit 3/Math Expressions Units X)
Week 1 Week 2 Week 3 Week 4
Investigations Teacher Manual Unit 3

Math Expressions Units 2, 3, & 4
Investigations Teacher Manual Unit 8

A MonthtoMonth Guide
Chapter 5: Connecting multiplication and Division 
Common Core Standards
Generalize place value understanding for multidigit whole numbers.
CCSS.MATH.CONTENT.4.NBT.A.1
Recognize that in a multidigit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
CCSS.MATH.CONTENT.4.NBT.A.2
Read and write multidigit whole numbers using baseten numerals, number names, and expanded form. Compare two multidigit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
CCSS.MATH.CONTENT.4.NBT.A.3
Use place value understanding to round multidigit whole numbers to any place.
Use place value understanding and properties of operations to perform multidigit arithmetic.
CCSS.MATH.CONTENT.4.NBT.B.4
Fluently add and subtract multidigit whole numbers using the standard algorithm.
CCSS.MATH.CONTENT.4.NBT.B.5
Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
CCSS.MATH.CONTENT.4.NBT.B.6
Find wholenumber quotients and remainders with up to fourdigit dividends and onedigit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
1 Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
Generalize place value understanding for multidigit whole numbers.
CCSS.MATH.CONTENT.4.NBT.A.1
Recognize that in a multidigit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
CCSS.MATH.CONTENT.4.NBT.A.2
Read and write multidigit whole numbers using baseten numerals, number names, and expanded form. Compare two multidigit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
CCSS.MATH.CONTENT.4.NBT.A.3
Use place value understanding to round multidigit whole numbers to any place.
Use place value understanding and properties of operations to perform multidigit arithmetic.
CCSS.MATH.CONTENT.4.NBT.B.4
Fluently add and subtract multidigit whole numbers using the standard algorithm.
CCSS.MATH.CONTENT.4.NBT.B.5
Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
CCSS.MATH.CONTENT.4.NBT.B.6
Find wholenumber quotients and remainders with up to fourdigit dividends and onedigit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
1 Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
Math Expressions: Unit 2  Multiplication with Whole Numbers Investigations:
Investigation Unit 8 TA: How many Packages? How Many Groups?) Multiplication with 2Digit Numbers
4.NBT.5. Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Rich Math Task  Breaking Rectangles Apart Investigation
Math Expressions: Lesson 4  Model OneDigit by Two Digit Multiplication
Lesson 5  Estimate Products Investigations
Session 4.1: Making Estimates Students make estimates for twodigit multiplication problems. u8_M7M8.pdf (Letter to Parents)
Session 4.2: Breaking Numbers Apart Students estimate and solve 2digit by 2digit multiplication problems. Use Math talk Strategies
Investigations Session 4.3.: Multiplication Cluster Problems Students solve problems by discussing how to decompose and pull apart numbers.
u8_M9M10.pdf (Family Letter)
u8_M11.pdf Centimeter Grid paper.pdf
Math Expressions: Lesson 6  Use Place Value to Multiply Investigations
Session 4.4.: Assessment: Solving Multiplication Problem
(Students play a game where students identify factor for multiples of ten).
u8_M14.pdf Factor Bingo Gameboards Cards AD.pdf
u8_M15.pdf Factor Bingo Gameboards.pdf
u8_M16.pdf Number Cards for Factor Bingo.pdf
u8_M17.pdf Factor Bingo Game Instructions.pdf
u8_M18.pdf Assessment Checklist.pdf
Investigations Session 4.5.: Solving 2Digit Numbers Students continue identifying factors and multiples of 10 and 100 discussing conjectures. Students continue playing Factor Bingo. u8_M14.pdf Factor Bingo Gameboards Cards AD1.pdf
u8_M15.pdf Factor Bingo Gameboards1.pdf
u8_M17.pdf Factor Bingo Game Instructions1.pdf
Strategies for Multiplication
Session 5.1.: Making An Easier Problem Students solve a multiplication problem by changing one of the factors to a number that is a multiple of 10 (halving or doubling a factor, using friendly numbers) multiples of 10.
Some example strategies for students Video
Strategy Teaching Video: Teacher talks and moves
Fun for the Kids Video: Teachers rapping the strategy!
Session 5.2. Session 5.3 : How Did You Start? Students practice solving a variety of multiplication problems.
Session 5.4.: Practicing Multiplication Students continue solving multiplication problems.
Session 5.5.: Assessment : 34 x 68 M19
Solving Division Problems
Session 6.1.: How Many Groups Can You Make? Students solve and represent division problems.
Session 6.2 and 6.3.: Solving Division Problems Students use their knowledge of factors and multiples to solve division problems.
Centimeter Grid Paper M11 300
Chart M20
Session 6.4.: Sharing Division Strategies Students discuss their strategies for solving division problems.
Session 6.5.: Solving Problems in Context Students solve both multiplication and division problems in story contexts.
Session 6.6.: End of Unit Assessment Students solve a 2digit by 2digit multiplication problem and division problem with a small 2digit divisor. M21M22
Additional Games and Rich tasks to continue... See part two (bigger numbers)
