Mathematics Grade 3
Strand: MEASUREMENT AND DATA (3.MD)
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. (Standards 1–2)
. Represent and interpret data (Standards 3.MD.3– 4)
. Understand concepts of area and relate area to multiplication and addition (Standards 3.MD.5–7)
. Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures (Standard 3.MD.8)
Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent five pets.
In this task students are asked to decide how to spend $1,000 on supplies and materials for their classroom; students will have to make choices and be careful not to exceed the budget. Students are asked to decide which supplies will benefit the class the most and will compare their choices with other students' choices.
Grade 3 Math Module 6: Collecting and Displaying Data (EngageNY)
This 10-day module builds on Grade 2 concepts about data, graphing, and line plots. The two topics in this module focus on generating and analyzing categorical and measurement data. By the end of the module, students are working with a mixture of scaled picture graphs, bar graphs, and line plots to problem solve using both categorical and measurement data.
Grade 3 Unit 1: Number and Operations in Base Ten (Georgia Standards)
In this unit, students will investigate, understand, and use place value to manipulate numbers. Build on understanding of place value to round whole numbers. Continue to develop understanding of addition and subtraction and use strategies and properties to do so proficiently and fluently. Draw picture graphs with symbols that represent more than one object. Create bar graphs with intervals greater than one and use graphs and information from data to ask questions that require students to compare quantities and use mathematical concepts and skills.
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.
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.
Grade 3 Unit 4: Geometry (Georgia Standards)
In this unit students will further develop understandings of geometric figures by focusing on identification and descriptions of plane figures based on geometric properties. Identifies examples and non-examples of plane figures based on geometric properties. Identify differences among quadrilaterals. Understand that shapes in different categories may share attributes and those attributes can define a larger category (example: rhombuses, rectangles, and others have four sides and are all called quadrilaterals). Expand the ability to see geometry in the real world and can draw plane figure shapes based on attributes.
Grade 3 Unit 5: Representing and Comparing Fractions (Georgia Standards)
In this unit, students will develop an understanding of fractions, beginning with unit fractions. View fractions in general as being built out of unit fractions, and they use fractions along with visual fraction models to represent parts of a whole. Understand that the size of a fractional part is relative to the size of the whole. For example, 1/2 of the paint in a small bucket could be less paint than 1/3 of the paint in a larger bucket, but 1/3 of a ribbon is longer than 1/5 of the same ribbon because when the ribbon is divided into 3 equal parts, the parts are longer than when the ribbon is divided into 5 equal parts. Students are able to use fractions to represent numbers equal to, less than, and greater than one.
Grade 3 Unit 6: Measurement (Georgia Standards)
In this unit students will tell and write time to the nearest minute and measure time intervals in minutes. Solve elapsed time, including word problems, by using a number line diagram and reason about the units of mass and liquid volume.
This activity will help students understand histograms by allowing them to make their own.
Introduction to Bar Graphs
This lesson is designed to have students practice making bar graphs and interpret those graphs.
IXL Game: Interpret Pictographs
This game helps the third grader draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
Measurement and Data (3.MD) - 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 - Measurement and Data (3.MD)
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 Specialist -
and see the Mathematics - Elementary website. For
general questions about Utah's Core Standards contact the Director
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credit should be given to Utah State Board of Education. These
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