# Patterns in Multiplication and Division Facts

Related Topics:
Lesson Plans and Worksheets for Grade 3
Lesson Plans and Worksheets for all Grades

Videos, examples, solutions, and lessons to help Grade 3 students learn how to identify patterns in multiplication and division facts using the multiplication table.

Common Core Standards: 3.OA.3, 3.OA.7, 3.OA.8, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.4, 3.OA.6

New York State Common Core Math Module 3, Grade 3, Lesson 17

Lesson 17 Problem Set

1 d. Use what you know to find the product of 7 × 16 or 8 sevens + 8 sevens.

Lesson 17 Homework

1. Write the products as fast as you can into the chart.
d. Explain how 7 × 6 = (5 × 6) + (2 × 6) is shown in the table.
e. Use what you know to find the product of 4 × 16 or 8 fours + 8 fours.
2. In the lesson, we found that n × n is the sum of the first n odd numbers. Use this pattern to find the value of n for each equation below. The first is done for you.
a. 1 + 3 + 5 = n × n
9 = 3 × 3
b. 1 + 3 + 5 + 7 = n × n
c. 1 + 3 + 5 + 7 + 9 + 11 = n × n
d. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = n × n
e. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = n × n

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.