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Mathematics - Elementary Curriculum Mathematics Grade 3
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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.8

Solve two-step word problems.

  • Addition Patterns
    The purpose of this task is to study some patterns in a small addition table.
  • Grade 3 Math Module 7: Geometry and Measurement Word Problems (EngageNY)
    This 40-day final module of the year offers students intensive practice with word problems, as well as hands-on investigation experiences with geometry and perimeter. The module begins with solving one- and two-step word problems based on a variety of topics studied throughout the year, using all four operations. Next students explore geometry. Students tessellate to bridge geometry experience with the study of perimeter. Line plots, familiar from Module 6, help students draw conclusions about perimeter and area measurements. Students solve word problems involving area and perimeter using all four operations. The module concludes with a set of engaging lessons that briefly review the fundamental Grade 3 concepts of fractions, multiplication, and division.
  • Grade 3 Unit 3: Patterns in Addition and Multiplication (Georgia Standards)
    In this unit, students will understand concepts of area and relate area to multiplication and addition. Find the area of a rectangle with whole- number side lengths by tiling it. Multiply side lengths to find areas of rectangles with whole-number side lengths in context of solving real world and mathematical problems. Construct and analyze area models with the same product. Describe and extend numeric patterns. Determine addition and multiplication patterns. Understand the commutative propertys relationship to area. Create arrays and area models to find different ways to decompose a product and use arrays and area models to develop understanding of the distributive property.
  • 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.
  • Operations and Algebraic Thinking (3.OA) - Third Grade Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Third Grade Mathematics - Operations and Algebraic Thinking (3.OA)
  • 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.
  • 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.


UEN logo 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 - Patricia  Stephens-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.