 Mathematics Grade 4

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.4

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

• Factor Trail Game
In this lesson students will practice identifying the integer factors of numbers up to 100.
• Factors
This lesson is designed to help students understand factors of whole numbers.
• Finding Factors
This lesson plan's activities give students practice in finding the factors of whole numbers.
• Grade 4 Mathematics Module 3: Multi-Digit Multiplication and Division
In this 43-day module, students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers. As a key area of focus for Grade 4, this module moves slowly but comprehensively to develop students' ability to reason about the methods and models chosen to solve problems with multi-digit factors and dividends.
• Grade 4 Unit 2: Multiplication and Division of Whole Numbers (Georgia Standards)
In this unit students will solve multi-step problems using the four operations, use estimation to solve multiplication and division problems, find factors and multiples, identify prime and composite numbers and generate patterns.
• Identifying Multiples
Students are given a multiplication table for single digit numbers and asked to color all numbers with specific multiples. The goal of this task is to work on finding multiples of some whole numbers.
• 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.
• Numbers in a Multiplication Table
The goal of this task is to encourage students to study the multiplication table, a familiar object, from a novel point of view. The table shows some, but not necessarily all, factorizations of different numbers. Working through the table to see where different numbers appear, the students will have a good opportunity to observe the symmetry of the table which comes from the commutative property of multiplication.
• Operations and Algebraic Thinking (4.OA) - Fourth Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Fourth Grade Mathematics - Operations and Algebraic Thinking (4.OA)
• Sets and the Venn Diagram
This lesson is designed to help students understand the ideas surrounding sets and Venn diagrams.
• The Locker Game
The purpose of this instructional task is for students to deepen their understanding of factors and multiples of whole numbers. 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 Specialists - Trish  French or Molly  Basham and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

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.