Strand: OPERATIONS AND ALGEBRAIC THINKING (3.OA)

Represent and solve problems involving multiplication and division within 100 (Standards 3.OA.1–4 and Standard 3.OA.7). They demonstrate understanding of the properties of multiplication and the relationship between multiplication and division (Standards 3.OA.5–6). Students use the four operations to identify and explain patterns in arithmetic (Standards 3.OA.8–9).

Standard 3.OA.9

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that four times a number is always even, and explain why four times a number can be decomposed into two equal addends.

The purpose of this task is to study some patterns in a small addition table.
• Discover Number Patterns With Skip Counting
This Teaching Channel video shows students looking for patterns when counting by 200s. (7minutes)
• IXL Game: Complete the addition, subtraction, multiplication, or division sentence
This game helps third graders solve two-step word problems using the four operations. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
• Making a ten
This task asks students to study more carefully the make-a-ten strategy that they should already know and use intuitively. In this strategy, knowledge of which sums make a ten, together with some of the properties of addition and subtraction, are used to evaluate sums which are larger than 10.
• Pascal's Triangle
Students will learn about Pascal's triangle and practice their skills in multiplication and division in this lesson plan.
• Patterns in the multiplication table
This task is intended for instruction. The goal is to look for structure and identify patterns and then try to find the mathematical explanation for this. This problem examines the ''checkerboard'' pattern of even and odd numbers in a single digit multiplication table.
• Recognizing Patterns
This lesson will introduce students to patterns in sequences and tessellations and give them practice in creating their own patterns.
• Symmetry of the addition table
The goal of this task is to help students understand the commutative property of addition by examining the addition facts for single digit numbers.
• The Class Trip
The purpose of this instructional task is for students to solve a two-step word problem and represent the unknown quantity with a variable. This task also addresses the concept of scarcity.
• The Stamp Collection
In Grade 3, many students will understand half of 120 to mean the number obtained by dividing 120 by 2. For students who are unfamiliar with this language the task provides a preparation for the later understanding that a fraction of a quantity is that fraction times the quantity.
• USBE Core Guide for Domain: Operations and Algebraic Thinking (3OA9)
This math guide provides academic vocabulary, instructional strategies, teacher resources, and assessment tasks for the Operations and Algebraic Thinking domain.

http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Shannon Ference and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - DIANA SUDDRETH .
Email:  diana.suddreth@schools.utah.gov

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.