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## Alexandra Greenberg

on 28 October 2013

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#### Transcript of Grade 4 Module 3

Multi-Digit Multiplication and Division

Module 3 Topic A
Multiplicative Comparison Word Problems

Objectives:
Investigate and use the formulas for area and perimeter of rectangles.
(Lesson 1)
Solve multiplicative comparison word problems by applying the area and perimeter formulas.
(Lesson 2)
Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.
(Lesson 3)
Module 3 Topic B
Multiplication by 10, 100, and 1,000
Objectives:
Interpret and represent patterns when multiplying by
10, 100, and 1,000
in
arrays and numerically.
(Lesson 4)
Multiply multiples of
10, 100, and 1,000
by single digits, recognizing patterns.
(Lesson 5)
Multiply
two-digit multiples
of
10
by two-digit multiples of
10
with the area model.
(Lesson 6)
Module 3 Topic D
Multiplication Word Problems
Objectives:
Solve
two-step
word problems, including multiplicative comparison.
(Lesson 12)
Use multiplication, addition, or subtraction to solve multi-step word problems.
(Lesson 13)

Mid-Module Assessment: Topics A–D

Module 3 Topic G
Division of Thousands, Hundreds, Tens, and Ones
Objectives:
Divide multiples of
10, 100, and 1,000
by single-digit numbers.
(Lesson 26)
Represent and solve division problems with up to a three-digit dividend numerically and with number disks requiring decomposing a remainder in the hundreds place.
(Lesson 27)
Represent and solve three-digit dividend division with divisors of
2, 3, 4, and 5 numerically
.
(Lesson 28)
Represent numerically four-digit dividend division with divisors of
2, 3, 4, and 5
, decomposing a remainder up to three times.
(Lesson 29)
Solve division problems with a
zero
in the dividend or with a
zero in the quotient
.
(Lesson 30)
Interpret division word problems as either number of groups unknown or group size unknown
. (Lesson 31)
Interpret and find
whole number quotients
and remainders to solve
one-step division word problems with larger divisors
of 6, 7, 8, and 9.
(Lesson 32)
Objective 8:
Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.
(Lesson 33)
Module 3 Topic H
Multiplication of Two-Digit by Two-Digit Numbers

Objective:
Multiply two-digit multiples of
10 by two-digit numbers
using a place value chart.
(Lesson 34)
Multiply two-digit multiples of
10 by two-digit numbers
using the area model.
(Lesson 35:)
Multiply two-digit by two-digit numbers using four partial products.
(Lesson 36)
Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.
(Lessons 37–38: )

End-of-Module Assessment: Topics A–H
Module 3 Topic C
Multiplication of up to Four Digits by Single-Digit Numbers
Objectives:
Use place value disks to represent
two-digit by one-digit
multiplication.
(Lesson 7)
Extend the use of place value disks to represent
three- and four-digit
by one-digit multiplication.
(Lesson 8)
Multiply
three- and four-digit numbers by one-digit numbers applying the standard algorithm.
(Lessons 9-10)
Connect the area model and the partial products method to the standard algorithm.
(Lesson 11)
Module 3 Topic E
Division of Tens and Ones with Successive Remainders

Objective:
Solve division word problems with remainders.
(Lesson 14)
Understand and solve division problems with a remainder using the array and area models.
(Lesson 15)
Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks.

(Lesson 16)
Represent and solve division problems requiring decomposing a remainder in the tens.
(Lesson 17)
Find whole number quotients and remainders
.
(Lesson 18)
Explain remainders by using place value understanding and models.
(Lesson 19)

Solve division problems without remainders using the area model.
(Lesson 20)
Solve division problems with remainders using the area model.
(Lesson 21)
Module E Topic F
Reasoning with Divisibility
Objectives:
Find factor pairs for numbers to
100
and use understanding of factors to define prime and composite.
(Lesson 22)
Use division and the
associative property
to test for factors and observe patterns.
(Lesson 23)
Determine whether a whole number is a multiple of another number.
(Lesson 24)
Explore properties of prime and composite numbers to
100
by using multiples.
(Lesson 25)
Module 3 Lesson 3
Objective: Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.
Module 3 Lesson 2
Objective: Solve multiplicative comparison word problems by applying the area and perimeter formulas.
Objective: Investigate and use the formulas for area and perimeter of rectangles.
Module 3 Lesson 1
SPRINT
Let's look at the Topics in Detail!
Topic B is next!
Topic B Lesson 4
Topic B Lesson 5
Topic B Lesson 6
Objective: Multiply
two-digit multiples
of
10
by two-digit multiples of
10
with the area model.
Objective: Interpret and represent patterns when multiplying by
10, 100, and 1,000
in
arrays and numerically.
Objective: Multiply multiples of
10, 100, and 1,000
by single digits, recognizing patterns.
Topic C is next!
Topic C Lesson 8
Objective: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.
Topic C Lesson 11
Connect the area model and the partial products method to the standard algorithm.
Topic C Lesson 7
Objective: Use place value disks to represent two-digit by one-digit multiplication
Topic C Lesson 9-10
Objective: Extend the use of place value disks to represent
three- and four-digit
by one-digit multiplication.
SPRINT
Topic D is next!
Topic D Lesson 12
Topic D Lesson 13
Objective:
Solve
two-step
word problems, including multiplicative comparison
Objective:
Use multiplication, addition, or subtraction to solve multi-step word problems
Mid-Module Assessment
Mid-Module
Assessment

Topic E is next!
Topic E Lesson 14
Topic E Lesson 15
Objective: Understand and solve division problems with a remainder using the array and area models
Topic E Lesson 17
Objective: Represent and solve division problems
requiring decomposing a remainder in the tens.
Topic E Lesson 21
Objective: Solve division problems with remainders using the area model.
Topic E Lesson 16
Objective: Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks.
Topic E Lesson 20
Objective 20: Solve division problems without remainders using the area model.
Topic E Lesson 19
Objective: Explain remainders by using place value understanding and models.
Topic E Lesson 18
Objective: Find whole number quotients and remainders.
Objective: Solve division word problems with remainders.
SPRINT
SPRINT
Topic F is next!
Topic F Lesson 25
Objective 4: Explore properties of prime and composite numbers to 100 by using multiples.
Topic F Lesson 24
Topic F Lesson 23
Objective 2: Use division and the associative property to test for factors and observe patterns.
Topic F Lesson 22
Objective 1: Find factor pairs for numbers to 100 and use understanding of factors to define prime and composite.
Objective 3: Determine whether a whole number
is a multiple of another number.
Topic G is next!
Unit G Lesson 26
Objective 1: Divide multiples of 10, 100,
and 1,000 by single-digit numbers.
Unit G Lesson 27
Objective 2: Represent and solve division problems with up to a three-digit dividend numerically and with number disks requiring decomposing a remainder in the hundreds place.
Unit G Lesson 28
Objective 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.
Unit G Lesson 29
Objective 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.
Unit G Lesson 30
Objective 5: Solve division problems with a zero in the dividend or with a zero in the quotient. (Lesson 30)
Unit G Lesson 31
Objective 6: Interpret division word problems as either number of groups unknown or group size unknown. (Lesson 31)
Unit G Lesson 32
Objective 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.
Unit G Lesson 33
Objective 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.
SPRINT
SPRINT
SPRINT
Topic H is next!
Topic H Lesson 36
Objective 3: Multiply two-digit by two-digit numbers using four partial products.
Topic H Lessons 37-38
Objective 4: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.
Topic H Lesson 35
Objective 2: Multiply two-digit multiples of 10 by two-digit numbers using the area model.
Topic H Lesson 34
Objective 1: Multiply two-digit multiples of 10 by two-digit numbers using a place value chart.
End-Module Assessment
End-Module
Assessment

Designed by: Alexandra Greenberg
Coordinator of Curriculum Development
Southern Westchester BOCES
Harrison, NY 10528
914-345-8500 ext 3151
agreenberg@swboces.org

Standards
Full transcript