Strand: OPERATIONS AND ALGEBRAIC THINKING (4.OA)

Use the four operations with whole numbers (addition, subtraction, multiplication, and division) to solve problems (Standards 4.OA.1–3). Gain familiarity with factors and multiples (Standard 4.OA.4). Generate and analyze numeric and shape patterns (Standard 4.OA.5).

Standard 4.OA.5

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

• An Introduction to Arithmetic and Geometric Sequences
This lesson plan introduces arithmetic and geometric sequences to students so that they know the terminology and can vary a sequence.
• Chessboard Algebra and Function Machines
This Teaching Channel video shows how students can find the rule that determines the number of chessboard squares. (6 min.)
• Doubles Plus One
In this task students are given a table of numbers and are asked to multiply each one by 2 and add 1 and then record their answers. They then are instructed to find patterns in the answers with questions like "Does an odd number multiplied by 2 result in an even or odd number? Why do you think this is?"
• Finding Remainders in Pascal's Triangle
This lesson is designed to reinforce division by using clock arithmetic to find remainders and then find patterns in Pascal's triangle by coloring the remainders in colors.
• Flake Maker
This activity allow students to create custom line deformation fractals and practice skills with pattern recognition and plane geometry.
• Floor Tiles
This lesson will help students identify and examine symmetry in geometric figures as well as describe and classify polygons.
• Grade 4 Mathematics Module 5: Fraction Equivalence, Ordering, and Operations
In this 40-day module, students build on their Grade 3 work with unit fractions as they explore fraction equivalence and extend this understanding to mixed numbers. This leads to the comparison of fractions and mixed numbers and the representation of both in a variety of models. Benchmark fractions play an important part in students ability to generalize and reason about relative fraction and mixed number sizes. Students then have the opportunity to apply what they know to be true for whole number operations to the new concepts of fraction and mixed number operations.
• Multiples of 3, 6, and 7
This task investigates divisibility properties for the numbers 3, 6, and 7. Students first make a list of multiples of 3 and then investigate this list further, looking for multiples of 6 and 7.
• Multiples of Nine
This task asks the students to start with 9 and list the first 10 multiples of 9. They are asked "In the list in part (a) what patterns do you see with the digits in the 10's place? What patterns do you see with the digits in the 1's place?" Using pictures, words, or equations, they must explain the patterns observed in part (b).
• Pascal's Triangle
Students will learn about Pascal's triangle and practice their skills in multiplication and division in this lesson plan.
• Patterns in Pascal's Triangle
This lesson plan was designed to help students understand Pascal's Triangle and its patterns.
• Recognizing Patterns
This lesson will introduce students to patterns in sequences and tessellations and give them practice in creating their own patterns.
• Sample Scope and Sequence
This sample scope and sequence document for the implementation of the new Math core for Grade 4 based on 160 days of instruction - 14 units.
• Tessellate!
This lesson and activity will help the student understand how to classify two-dimensional figures based on properties. The student manipulates shapes to create now polygons.
• USBE Core Guide (4OA5)
This core guide was developed by USBE and Utah educators.
• Venn Diagrams
This is an interactive lesson in which students must place a number into the correct area of a Venn diagram.

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.