Grade Level Expectations
Math - Grade 5
1. The student understands and applies the concepts and procedures of mathematics.
*Number Sense- *Understands the concepts and symbolic representations of mixed numbers, proper and improper fractions, and decimals.
- Understands the relative values of non negative fractions or decimals.
- *Understands and applies the concept of divisibility including primes, composites, factors, and multiples
- Adds and subtracts non-negative decimals and like-denominator fractions
- Multiplies and divides multi-digit numerals
- Applies estimation strategies involving addition and subtraction of non negative decimals and like denominator fractions to predict results or determine reasonableness of answers.
- Understands the concept of angle measurement
- Understands the concept of degree as a unit of measurement for angles
- Understands how measurement units of capacity, mass, and length are organized in the metric system
- Uses a systematic procedure to measure and describe the area of rectangles or triangles
- Uses formulas to determine perimeter and area of rectangles and right triangles
- Understands and applies strategies to obtain reasonable estimates of angle measurements and areas of rectangles and right triangles
- Understands the attributes of angles and polygons
- Uses the properties of parallel and perpendicular lines and line of symmetry
- Locates or plots points with whole number, fraction, and/or decimal coordinates on a positive number line
- Understands and applies translations (slides) or reflections (flips) to a 2-dimensional shape or figure
- Understands the likelihood of simple events occurring
- Uses procedures to determine possible outcomes of situations or simple experiments
- Understands how different collection methods or different questions can affect the data collected.
- Understands and uses the mean, median, and mode to describe a set of data.
- Describes trends or patterns in data represented in a line plot or pictograph
- Reads data presented in text and circle graphs.
- Recognizes, extends, and/or creates patterns of objects or shapes or patterns of numbers with a single arithmetic operation between terms.
- Develops a rule for patterns, which may include combinations of two arithmetic operation
- Understands the concept of mathematical equality and inequality and uses the symbols =, ≠, <, and >.
- Uses variables to write expressions and equations that represent situations involving addition and subtraction of non negative decimals and like denominator fractions.
- Applies algebraic properties to evaluate expressions using manipulatives, pictures, and/or symbols.
- Applies properties to solve equations involving multiplication and division
*2. The student uses mathematics to define and solve problems.
Problem Solving- Formulates questions to be answered to solve a problem
- Determines what information is missing or extraneous
- Identifies what is known and unknown in familiar situations
- Selects and uses relevant information to construct solutions
- Applies concepts and procedures from numbers sense, 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(s).
*3. The student uses mathematical reasoning.
Math Reasoning- Analyzes and compares numerical, geometric, statistical or measurement information
- Draws and supports conclusions
- Evaluates selection and implementation of procedures and conclusions
- Justifies results using evidence
- Evaluates reasonableness of results
- Understands how to validate thinking about numerical, measurement, statistical 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 plan for collecting numerical, measurement, statistical and/or geometric information
- Extracts math information from multiple sources 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
- 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 many occupations or careers
*Denotes items evaluated on student report card