3.OA.B.5

Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

 
26 Lesson(s)
   

Decomposing Arrays, Day 1

3rd Grade Math » Unit: Using Multiplication to Find Area
3rd Grade Math » Unit: Using Multiplication to Find Area
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

Students need to practice deconstructing arrays with manipulatives in order to conceptualize the distributive property. This 3 day lesson takes the children through increasingly sophisticated activities to explore the "why" and "how" of this property.

 
Favorites (15)
 
Resources (11)
 
Reflections (1)
deconstructing an array
   

Distributive Property, Day 1

3rd Grade Math » Unit: Using Multiplication to Find Area
3rd Grade Math » Unit: Using Multiplication to Find Area
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

Children need to move from the manipulative expressions of the distributive property into the mathematical equations eventually. This lesson is the first step in leading them to that goal.

 
Favorites (9)
 
Resources (13)
 
Reflections (1)
3d rendered orbs blue studio floating depth abstract free stock photo
   

Multiplication Using The Commutative Property

3rd Grade Math » Unit: Multiplication 2
3rd Grade Math » Unit: Multiplication 2
Diane Siekmann
Phoenix, AZ
Environment: Urban
 
Big Idea:

Understanding the commutative property of multiplication helps students master math facts.

 
Favorites (10)
 
Resources (11)
 
Reflections (1)
rows
   

Associative Property

3rd Grade Math » Unit: Understanding Multiplication
3rd Grade Math » Unit: Understanding Multiplication
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

Children need to understand why the mathematical properties work and how they are applied. In this lesson, we explore modeling and "proving" the associative property.

 
Favorites (12)
 
Resources (13)
 
Reflections (1)
fabric pattern seamless free stock vector 04
   

Distributive Property, Day 2

3rd Grade Math » Unit: Using Multiplication to Find Area
3rd Grade Math » Unit: Using Multiplication to Find Area
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

The children have been practicing decomposing areas and now digits in order to understand and use the distributive property.

 
Favorites (3)
 
Resources (12)
 
Reflections (1)
3d rendered orbs green large studio floating depth abstract free stock photo
   

Decomposing Given Large Areas, Day 3

3rd Grade Math » Unit: Using Multiplication to Find Area
3rd Grade Math » Unit: Using Multiplication to Find Area
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

Students have been working with decomposing arrays in order to practice finding small areas and putting the totals together. In this third lesson, they will work on finding smaller areas that make the mental math more feasible.

 
Favorites (1)
 
Resources (15)
 
Reflections (1)
3 d pattern
   

Fun with Four: Decomposing to Known Factors of 1, 2, and 5

3rd Grade Math » Unit: Multiplication
3rd Grade Math » Unit: Multiplication
Jennifer Valentine
Tucson, AZ
Environment: Urban
 
Big Idea:

Students act as problem solvers to take an unknown fact and solve it by breaking it down into pieces that are known.

 
Favorites (11)
 
Resources (15)
 
Reflections (1)
fun with fours cover
   

Associative Property With Manipulatives

3rd Grade Math » Unit: Understanding Multiplication
3rd Grade Math » Unit: Understanding Multiplication
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

Children need to understand why the mathematical properties work and how they are applied. In this lesson, we explore modeling and "proving" the associative property.In this lesson, we explore modeling and "proving" the associative property.

 
Favorites (7)
 
Resources (15)
 
Reflections (2)
screen shot 2014 05 23 at 5 26 03 pm
   

The Multiplication and Division Connection

3rd Grade Math » Unit: Sharing Equally with Division
3rd Grade Math » Unit: Sharing Equally with Division
Sarah Maffei
Environment: Urban
 
Big Idea:

Students can solve multiplication and division problems quickly by recognizing the relationship between the two operations.

 
Favorites (18)
 
Resources (11)
 
Reflections (1)
student presentation
   

Arrays, Arrays, Arrays

3rd Grade Math » Unit: Multiplication
3rd Grade Math » Unit: Multiplication
Diane Siekmann
Phoenix, AZ
Environment: Urban
 
Big Idea:

Rearranging arrays to understand equivalent products.

 
Favorites (15)
 
Resources (17)
 
Reflections (1)
arrays and graph paper
   

Multiples in a Minute

5th Grade Math » Unit: Multiplication Madness
5th Grade Math » Unit: Multiplication Madness
Cathy Skinner
Scottsdale, AZ
Environment: Urban
 
Big Idea:

Understanding multiplication is repeated addition is the first step in understanding the concept.

 
Favorites (4)
 
Resources (16)
 
Reflections (1)
mme
   

Discovering Relationships: Multiplication & Division (1 of 2)

3rd Grade Math » Unit: The Relationship Between Multiplication and Division
3rd Grade Math » Unit: The Relationship Between Multiplication and Division
Sarah Maffei
Environment: Urban
 
Big Idea:

Fact families include the same amount of total objects but the groups and number in each group can be manipulated.

 
Favorites (14)
 
Resources (14)
 
Reflections (1)
fact families wg
   

Multiplication Properties

4th Grade Math » Unit: Multiplication and Division Meanings
4th Grade Math » Unit: Multiplication and Division Meanings
Rose Monroe
Memphis, TN
Environment: Urban
 
Big Idea:

Multiplication Properties are rules that can be used to help with math computation.

Standards:
 
Favorites (4)
 
Resources (16)
 
Reflections (1)
multiplication properties
   

Using the Multiplication and Division Relationship to Solve

3rd Grade Math » Unit: Sharing Equally with Division
3rd Grade Math » Unit: Sharing Equally with Division
Sarah Maffei
Environment: Urban
 
Big Idea:

Students can solve multiplication and division problems quickly by recognizing the relationship between the two operations.

 
Favorites (4)
 
Resources (13)
 
Reflections (1)
ts 3 8 wi 5
   

Decomposing Given Large Areas Day 2

3rd Grade Math » Unit: Using Multiplication to Find Area
3rd Grade Math » Unit: Using Multiplication to Find Area
Michelle Marcus
Troy, MI
Environment: Suburban
 
Big Idea:

In this second of a three-part lesson, students extend decomposing arrays to applying a strategy for mental computation of area by finding smaller areas.

 
Favorites (4)
 
Resources (11)
 
Reflections (1)
decomposing
Common Core Math
 
Something went wrong. See details for more info
Nothing to upload
details
close