# Distributive Property - Array Model

Videos to help Grade 3 students learn how to model the distributive property with arrays to decompose units as a strategy to multiply.

Common Core Standards: 3.OA.1, 3.OA.5, 3.OA.3, 3.OA.4

## New York State Common Core Math Module 1, Grade 3, Lesson 10

### NYS Math Module 1 Grade 3 Lesson 10 Concept Development

A guitar has 6 strings. How many strings are there on 3 guitars?
Draw an array to represent the total number of guitar strings.
8 × 2 = _____

### NYS Math Module 1 Grade 3 Lesson 10 Problem Set

1. 7 × 3 = (5 × 3) + (2 × 3) = _____
(5 × 3) + (2 × 3) = 15 + __________
15 + ______= __________

Is (3 × 4) + (2 × 4) = 12 + 8 = 20 the same as 5 × 4?

Joe planted 6 rows of carrots in his garden. There are 6 carrots in each row. How many carrots did he plant?

### NYS Math Module 1 Grade 3 Lesson 10 Homework

1. 6 × 3 = __________
12 + ______ = ______
6 × 3 = ______

2. 8 × 2 = _______
(____ × 2) = ______
(____ × 2) = ______
(4 × 2) + (4 × 2) = ______ + ______
____ × 2 = ________

3. Adriana is organizing her books on shelves. She puts 3 books in each row.
a. Use the multiplication sentences on the right to draw arrays to show the books on Adriana’s top and bottom shelves.
__________× 3 = 15
__________× 3 = 3