In this interactive activity, students will be led through steps to learn how to use the distributive property to solve multiplication problems. Although students at this grade level do not need to recall the formal term for these properties, they can use conceptual understanding as a strategy to solve multiplication problems. There are teaching activities as well as practice activities available. A handout that describes strategies taught during the interactive is available to be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

Content Standard(s):

Mathematics MA2019 (2019) Grade: 3

5. Develop and apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for the properties)

Unpacked Content

Evidence Of Student Attainment:

Students:

Use their understanding of multiplication and division to develop and apply a variety of properties to various situations.

Examples: given 4 x 9 = 36 is known, then 9 x 4 = 36 is also known. (commutative property).
If 3 x 5 x 2 can be found by 3 x 5 =15, then 15 x 2 = 30 or 5 x 2 = 10, then 3 x 10 = 30. (associative property). If 8 x 5 = 40 and 8 x 2 = 16 are known, then 8 x 7 can be found by 8 x (5 + 2) = (8 x 5) + (8 x 2) = 40 + 16 = 56. (distributive property.)

Identify an equivalent expression where the properties of operations has been applied.

Describe the properties of multiplication related to visual models.

Write multiplication equations to represent visual models.

Apply properties of operations as strategies to multiply and divide.

Note: Students need not use formal terms for the properties of operations.

Teacher Vocabulary:

Product

Sum

Property of operations

Multiplication expression

Decompose

Array

Area model

Knowledge:

Students know:

When any factor, x, is multiplied by a factor of 1, the product is the value of x.

If one factor is zero, then there are zero groups or zero items in a group and the product is zero.

The commutative property of multiplication shows a x b = c and b x a = c.

The associative property of multiplication shows that when multiplying three or more numbers, the product is always the same regardless of the grouping.

The distributive property will help in finding products of more difficult multiplication facts.

Skills:

Students are able to:

Develop properties as strategies for multiplication and division.

Apply properties of operations as strategies to multiply and divide.

Understanding:

Students understand that:

applying properties of operations can help develop strategies to find solutions to multiplication and division problems.

Diverse Learning Needs:

Essential Skills:

Learning Objectives: M.3.5.1: Define properties of operations.
M.3.5.2: Apply basic multiplication facts.
M.3.5.3: Apply properties of operations as strategies to add and subtract.
M.3.5.4: Count to answer "how many?" questions about as many as 30 things arranged in a rectangular array.

Prior Knowledge Skills:

Match the numeral in the ones and tens position to a pictorial representation or manipulative of the value.

Count forward in multiples from a given number.

Represent addition and subtraction with objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, expressions, or equations.

Represent numbers with objects or drawings.

Alabama Alternate Achievement Standards

AAS Standard: M.AAS.3.3 Use strategies (arrays, equal groups, manipulatives, etc.) to model multiplication and division equations to find an unknown number.