Mathematics Grade 4
Educational Links

Strand: MEASUREMENT AND DATA (4.MD)

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1-2). Apply knowledge of area and perimeter to solve realworld and mathematical problems (Standard 4.MD.3). Represent and interpret data through the use of a line plot (Standard 4.MD.4). Understand various concepts of angles and angle measurement (Standard 4.MD.5-7).

• Angles (elementary)
  This lesson is designed to help students learn about classifying angles by their measure.
• Area (elementary)
  In this lesson students will find the area of rectangular shapes and irregular shapes with right angles.
• Button Diameters
  The purpose of this task is for students to measure lengths to the nearest eighth and quarter-inch and to record that information in a line plot.
• Finding an Unknown Angle
  The purpose of this task is to give 4th grade students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles and that right angles have a measure of 90∘ and that angle measure is additive.
• Grade 4 Mathematics
  In order to assist educators with the implementation of the Common Core, the New York State Education Department provides curricular modules in Pre-K-Grade 12 English Language Arts and Mathematics that schools and districts can adopt or adapt for local purposes.
• Grade 4 Mathematics Module 2: Unit Conversions and Problem Solving with Metric Measurement
  Module 2 uses length, mass and capacity in the metric system to convert between units using place value knowledge. Students recognize patterns of converting units on the place value chart, just as 1000 grams is equal 1 kilogram, 1000 ones is equal to 1 thousand. Conversions are recorded in two-column tables and number lines, and are applied in single- and multi-step word problems solved by the addition and subtraction algorithm or a special strategy. Mixed unit practice prepares students for multi-digit operations and manipulating fractional units in future modules.
• 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 4: Angle Measure and Plane Figures
  This 20-day module introduces points, lines, line segments, rays, and angles, as well as the relationships between them. Students construct, recognize, and define these geometric objects before using their new knowledge and understanding to classify figures and solve problems. With angle measure playing a key role in their work throughout the module, students learn how to create and measure angles, as well as create and solve equations to find unknown angle measures. In these problems, where the unknown angle is represented by a letter, students explore both measuring the unknown angle with a protractor and reasoning through the solving of an equation. Through decomposition and composition activities as well as an exploration of symmetry, students recognize specific attributes present in two-dimensional figures. They further develop their understanding of these attributes as they classify two-dimensional figures based on them.
• 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.
• Grade 4 Mathematics Module 6: Decimal Fractions
  This 20-day module gives students their first opportunity to explore decimal numbers via their relationship to decimal fractions, expressing a given quantity in both fraction and decimal forms. Utilizing the understanding of fractions developed throughout Module 5, students apply the same reasoning to decimal numbers, building a solid foundation for Grade 5 work with decimal operations.
• 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 1: Whole Numbers, Place Value, and Rounding (Georgia Standards)
  In this unit students will read numbers correctly through the millions, write numbers correctly through millions in standard form, write numbers correctly through millions in expanded form, identify the place value name for multi-digit whole numbers, identify the place value locations for multi-digit whole numbers, round multi-digit whole numbers to any place, fluently solve multi-digit addition and subtraction problems using the standard algorithm and solve multi-step problems using the four operations
• 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.
• Grade 4 Unit 3: Fraction Equivalents (Georgia Standards)
  In this unit students will understand representations of simple equivalent fractions and compare fractions with different numerators and different denominators.
• Grade 4 Unit 4: Operations with Fractions (Georgia Standards)
  In this unit students will identify visual and written representations of fractions, understand representations of simple equivalent fractions, understand the concept of mixed numbers with common denominators to 12, add and subtract fractions with common denominators, add and subtract mixed numbers with common denominators and convert mixed numbers to improper fractions and improper fractions to mixed fractions.
• Grade 4 Unit 5: Fractions and Decimals (Georgia Standards)
  In this unit, students will express fractions with denominators of 10 and 100 as decimals, understand the relationship between decimals and the base ten system, understand decimal notation for fractions, use fractions with denominators of 10 and 100 interchangeably with decimals and express a fraction with a denominator 10 as an equivalent fraction with a denominator 100.
• Grade 4 Unit 7: Measurement (Georgia Standards)
  In this unit students will investigate what it means to measure length, weight, liquid volume, time, and angles, understand how to use standardized tools to measure length, weight, liquid volume, time, and angles, understand how different units within a system (customary and metric) are related to each other, know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz; L, ml; hr, min, sec. and solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals.
• IXL Game: Measurement: Convert mixed customary units
  This game helps fourth graders understand relative sizes of measurement units within one system of units. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
• Karl's Garden
  Students are given this task: "Karl's rectangular vegetable garden is 20 feet by 45 feet, and Makenna's is 25 feet by 40 feet. Whose garden is larger in area?" The purpose of the task is for students to solve a multi-step multiplication problem in a context that involves area.
• Margie Buys Apples
  This task gives students an opportunity to work with familiar fractions and decimals in a context involving money.
• Measurement and Data (4.MD) - 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 - Measurement and Data (4.MD)
• Measuring Angles
  The purpose of this task is to gain experience drawing and measuring angles, developing an understanding of the additive structure of angles.
• Smile Metric Style
  In this activity students work with the metric system by measuring each other's smiles.
• The Iditarod & Math
  This Teaching Channel video and lesson plan will help students calculate elapsed time and distance using real-time data. (7 minutes)
• What Does it Mean to Measure?
  This lesson plan asks students to measure properties of various objects including weight, area, and volume and determine the appropriate metric unit for taking the measurements.
• Who is the tallest?
  In this task students are given a chart showing a list of students and their heights. They are asked to list the students from tallest to shortest.

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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.