Mathematics Grade 4
Educational Links

Strand: NUMBER AND OPERATIONS IN BASE TEN (4.NBT)

Generalize place value understanding for multi-digit whole numbers by analyzing patterns, writing whole numbers in a variety of ways, making comparisons, and rounding (Standards 4.NBT.1-3). Use place value understanding and properties of operations to perform multidigit addition, subtraction, multiplication, and division using a one-digit divisor (Standards 4.NBT.4-6). Expectations in this strand are limited to whole numbers less than or equal to 1,000,000.

Standard 4.NBT.5

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

• Arithmetic Four
  In this game for two players, students solve problems involving whole number and integer addition, subtraction, multiplication, and division.
• 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 Mathematics Module 7: Exploring Measurement with Multiplication
  In this 20-day module, students build their competencies in measurement as they relate multiplication to the conversion of measurement units. Throughout the module, students will explore multiple strategies for solving measurement problems involving unit conversion.
• 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.
• Mental Division Strategy
  The task presents the scenario where Jillian says "I know that 20 times 7 is 140 and if I take away 2 sevens that leaves 126. So 126 ÷ 7 = 18." Students must then respond to this statement by answering if she's correct, drawing a picture showing her reasoning and using that method to solve another problem.
• Number and Operations in Base Ten (4.NBT) - 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 - Number and Operations in Base Ten (4.NBT)
• Order of Operations Four
  This applet pits two players against each other in solving expressions using the four basic operations.
• Reasoning About Division
  The Common Core allows students to get a better understanding of Math concepts and skills, including division. This Teaching Channel video shows how you can teach reasoning about division in your classroom. (7 min.)
• Thousands and Millions of Fourth Graders
  Students are given facts about the number of fourth graders in different places and asked to make calculations comparing the numbers. The purpose of this task is to help students understand the multiplicative relationship between commonly used large numbers (thousands and millions) by using their understanding of place value.
• To Regroup or Not to Regroup
  This task presents an incomplete problem and asks students to choose numbers to subtract (subtrahends) so that the resulting problem requires different types of regrouping.

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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 - 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.