Math Intervention 3–5 Grade

182 Multifaceted Number Concepts

Expanded Form

CONCEPT:

What is the Expanded Form Concept?

Expanded form involves expressing a number as a sum of the

products of each digit. The expanded form concept is deeply

rooted in place value. Expressing the value of any number by

highlighting the parts of that number helps students build

fl uency with numbers. Working with expanded form also

helps students understand how numbers are composed and

decomposed.

CCSS

Number and Operations in Base Ten

Formative Assessment

To fi nd out if a student understands expanded form, ask the

student to name the values for the following expanded form

expressions:

(4 x 10) + (8 x 1) (3 x 100) + (5 x 10) + (3 x 1)

(7 x 100) + (6 x 1) (2 x 1,000) + (3 x 100) + (9 x 10) + (1 x 1)

(7 x 1,000) + (8 x 100) + (3 x 1) (4 x 10,000) + (6 x 100) + (5 x 10)

Ask the student to give the expanded form of the following

numbers:

63 425

907 4,820

6,039 24,309

Find out the range of the student’s knowledge of the

expanded form concept by identifying to which place value

the student is successful.