Grade Level Expectations
Math - Grade 4
1. The student understands and applies the concepts and procedures of mathematics.
*Number Sense- Understands the concepts and symbolic representations of decimals in money and fractions.
- Understands the relative values of decimals in money and fractions.
- Understands and uses the associative property of addition and multiplication and the commutative, identity, and zero properties of multiplication on whole numbers.
- Understands the meaning of addition and subtraction of like denominator fractions
- *Knows multiplication and division basic facts with fluency
- *Multiplies and divides 2-digit numerals
- Applies estimation strategies involving multiplication and division of whole numbers to predict or determine the reasonableness of answers in situations.
- Understands the concept of area
- Understands the difference between length (linear) units and area (square) units in the US or metric system
- Understands how measurement units of time and weight are organized in the US system
- Understands how measurement units of length, mass, and capacity are organized in the metric system
- Applies a procedure to measure length, perimeter, and area
- Understands and applies strategies to obtain reasonable estimates of area measurements for irregular figures
- Understands the concepts of parallel and perpendicular lines and line symmetry in 2-dimensional shapes and figures
- Draws, labels, sorts and classifies 2-dimensional shapes and figures
- Locates or plots points in the first quadrant on a coordinate grid
- Understands the change made to the position of a 2-dimensional shape or figure by a slide or a flip with or without a grid
- Understands when events are certain, impossible, possible, more likely, less likely, or equally likely
- Understands how to use appropriate questions and samples to collect information about a specific topic.
- Understands, determines, and uses mode and median to describe a set of data
- Reads and understands data from line plots and pictographs.
- Recognizes, understands, and extends a pattern of shapes and/or objects or a pattern of numbers with a single addition, subtraction, or multiplication between terms
- Describes a rule for a pattern with a single arithmetic operation
- Understands the concept of mathematical inequality and use the symbols =, <, ≠, and > in equations and inequalities.
- Uses a single variable to write expressions and equations that represent situations involving multiplication and division of whole numbers.
- Applies algebraic properties to evaluate expressions and formulas with addition, subtraction, or multiplication involving whole numbers.
- Applies algebraic properties to solve equations involving multiplication and division
*2. The student uses mathematics to define and solve problems.
Problem Solving- Identifies questions to be answered to solve a problem in familiar situations
- Recognizes when information is missing in familiar situations
- Identifies what is known and unknown in familiar situations
- 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.
Math Reasoning- Analyzes and compares numerical, geometric, statistical or measurement information
- Draws and supports conclusions
- Evaluates procedures and conclusions
- 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.
Mathematical Communication- Understands how to develop and follow a simple plan for collecting numerical, measurement, statistical and/or geometric information
- Extracts 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.
Mathematical Connections- Applies concepts and procedures from any 2 of the following content areas: number sense, measurement, geometry, statistics, algebra in a given problem or situation
- Uses equivalent mathematical models to represent a mathematical idea
- 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