Strand: OPERATIONS AND ALGEBRAIC THINKING (5.OA)

Write and interpret numerical expressions (Standards 5.OA.1–2), and analyze patterns and relationships (Standard 5.OA.3).

Standard 5.OA.3

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "add 3" and the starting number 0, and given the rule "add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

• Creating Numerical Patterns with Rules: Bianca Functions in the Wild
In this lesson, students watch a video about a young lady who discovers a numerical pattern that helps her get candy. The activity entails students playing a dice game in which they'll recognize patterns and practice writing them in numerical expressions. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Finding Patterns to Make Predictions
This activity asks students to identify and contemplate mathematical patterns that we see around us. They are asked to represent them in a table and predict the pattern to the 7th, 9th, and nth terms. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Grade 5 Mathematics Module 6: Problem Solving with the Coordinate Plane (EngageNY)
In this 40-day module, students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems. Students use the familiar number line as an introduction to the idea of a coordinate, and they construct two perpendicular number lines to create a coordinate system on the plane. Students see that just as points on the line can be located by their distance from 0, the planes coordinate system can be used to locate and plot points using two coordinates. They then use the coordinate system to explore relationships between points, ordered pairs, patterns, lines and, more abstractly, the rules that generate them. This study culminates in an exploration of the coordinate plane in real world applications.
• Patterns in Pascal's Triangle
This lesson plan was designed to help students understand Pascal's Triangle and its patterns.
• Petals Around the Rose
This lesson plan involves the playing of a dice game in which students must use problem-solving skills in order to discover the non-standard pattern in the dice rolls.
• Sample Scope and Sequence
This sample scope and sequence document for the implementation of the new Math core for Grade 5 based on 160 days of instruction - 15 units.
• Sidewalk Patterns
This purpose of this task is to help students articulate mathematical descriptions of number patterns.
• Stop that Machine
In this interactive students have to stop machines by find the solutions to functions. The classroom activity builds on this with a card game. Note: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• USBE Core Guide (5OA3)
This core guide was developed by USBE and Utah educators.

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.
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