Grade Level Expectations
Math - Grade 3

1. The student understands and applies the concepts and procedures of mathematics.

• *Understands place value in numbers to at least 10,000
• Places whole numbers to at least 10,000 in order from smallest to largest
• Understands and uses the commutative and identity properties of addition on whole numbers
• *Understands basic fraction concepts
• Understands the meaning of multiplication and division of whole numbers
• *Adds and subtracts 3-digit whole numbers
• Applies a variety of strategies to add and subtract whole numbers
• Understands and applies estimation strategies involving addition and subtraction of whole numbers to predict or determine the reasonableness of answers
• *Uses strategies to multiply one digit numbers

• Describes objects using U.S. units of measurement:
• Describes objects using metric units of measurement
• Understands the differences between non standard and standard units of measurement for length and weight/mass in either the U.S. or metric system.
• Converts between units in the U.S. system: (Length: inch, foot yard; Money: penny, nickel, dime quarter, dollar; Liquid capacity: cup, pint, quart, gallon)
• Explains the system of standard U.S. units for measurement of weight.
• Explains and cites examples of the system of standard units for time including seconds, minutes, hours, days, weeks, months, and years.
• Shows how to convert time units in order to answer a question.
• Applies a procedure to measure length, perimeter, time, money value, weight/mass, capacity, and temperature.
• Understands and applies strategies to obtain reasonable estimates of length, perimeter, time, money, weight/mass, capacity and temperature measurements.

• Understands the concept of congruence
• Sorts, classifies, describes, labels, and draws 2-dimensional figures using attributes and properties
• Describes, locates, and/or draws points on a positive number line based on

• Understands how to ask questions to collect data about a specific topic
• Understands, determines, and uses mode to describe a set of data.
• Reads and understands data from tables, charts, pictographs, and bar graphs.

• Recognizes, understands, and extends a pattern of shapes, objects or numbers with a single addition or subtraction between terms.
• Understands the concept of mathematical equality and use the symbol = in equations.
• Uses a single variable to write simple expressions and equations that represent situations involving addition and subtraction of whole numbers
• Applies algebraic properties to solve equations involving addition and subtraction

*2. The student uses mathematics to define and solve problems.

• Identifies questions to be answered to solve a problem in familiar situations
• Identifies missing or extraneous information that is needed to solve a problem
• Identifies what is known and what is unknown in familiar situations
• Selects and uses relevant information to construct solutions
• Understands how to use information to solve a problem
• Selects and uses what they know about numbers, measurement, geometry or statistics to construct solutions
• Applies a variety of strategies to construct solutions (manipulatives, pictures, charts, etc.)
• Determines whether a solution is viable, mathematically correct, and answers the question.

*3. The student uses mathematical reasoning.

• Analyzes and compares numerical, geometric, statistical or measurement information
• Draws and supports conclusions
• Evaluates procedures used
• Justifies results using evidence
• Evaluates reasonableness of results
• Understands how to validate thinking about numerical, measurement, and/or geometric ideas

4. The student communicates knowledge and understanding in both everyday language and mathematical language.

• Understands how to follow a simple plan for collecting numerical, measurement, statistical and/or geometric information
• Understands how to extract math information for a given purpose (from text, graphs, listening, observing, etc)
• Understands how to organize and represent mathematical information in pictures, drawings, tables, charts, pictographs, bar graphs, or other appropriate forms
• Uses mathematical language to explain or describe ideas and information

5. The student understands how mathematical ideas connect within mathematics, to other subject areas, and to real life situations.

• Understands how to apply concepts and procedures from any 2 of the following content areas: number sense, measurement, geometry, statistics, algebra in a given problem or situation
• Understands how to represent a mathematical idea using physical models, numbers, and/or pictures
• Understands and uses mathematical thinking, modeling, patterns, and ideas in other disciplines
• Recognizes the contributions of individuals and cultures to the development of mathematics
• Understands that mathematics is used extensively in daily life outside the classroom
• Identifies how mathematics is used in career settings

* Denotes items evaluated on student report card