Mathematics Grade 3
Educational Links

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.4

Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number - product, factor, quotient, dividend, or divisor - that makes the equation true in each of the equations 8 x ? = 48, 5 = ? ÷ 3, 6 x 6 = ?.

• Arithmetic Four
  In this game for two players, students solve problems involving whole number and integer addition, subtraction, multiplication, and division.
• Factor Trail Game
  In this lesson students will practice identifying the integer factors of numbers up to 100.
• Finding the unknown in a division equation
  This task shows an equation that elicits key misconceptions around equations and division. Students will be tempted to identify 3 as the missing number because they are envisioning the related fact: 6 / 2 = 3. Teachers using this task for discussion will want students to voice ideas leading to both answers, but guide the discussion to some key instructional point.
• Grade 3 Math Module 3: Multiplication & Division w/ Units of 0, 1, 6-9, and Multiples of 10
  This 25-day module builds directly on students work with multiplication and division in Module 1. Module 3 extends the study of factors from 2, 3, 4, 5, and 10 to include all units from 0 to 10, as well as multiples of 10 within 100. Similar to the organization of Module 1, the introduction of new factors in Module 3 spreads across topics. This allows students to build fluency with facts involving a particular unit before moving on. The factors are sequenced to facilitate systematic instruction with increasingly sophisticated strategies and patterns.
• Grade 3 Unit 2: The Relationship Between Multiplication and Division (Georgia Standards)
  In this unit, students will begin to understand the concepts of multiplication and division, learn the basic facts of multiplication and their related division facts, apply properties of operations (commutative, associative, and distributive) as strategies to multiply and divide, understand division as an unknown-factor problem. For example, find 32 8 by finding the number that makes 32 when multiplied by 8. Fluently multiply and divide within 100, using strategies such as the patterns and relationships between multiplication and division, understand multiplication and division as inverse operations, solve problems and explain their processes of solving division problems that can also be represented as unknown factor multiplication problems and represent and interpret data.
• 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)

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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.