NECAP Grade Level Expectations (GLEs) for Math Grade 5
Clicking on a highlighted term will bring up a definition or description of the term, along with examples that help to exemplify it. The examples are not necessarily aligned to the particular grade, but help to clarify the term being defined.
Practice Tests for End of Grade 5 GLEs to be
administered Fall of Grade 6:
Practice
Test | Practice
Test Resource Material (with Sample Student Work)
NECAP 2005 Released Items for Grade 5 to be administered
Fall of Grade 6:
Released Items | Support
Materials
Web-based Math GLEs |
GLE |
Support
Materials/ Student Work |
| M(N&O)-5-1 Demonstrates
conceptual understanding of rational numbers with respect to: *Specifications for area, set, and linear models for grades 5 - 8:
Fractions: The number of parts in the whole are equal to the denominator,
a multiple of the denominator, or a factor of the denominator. Percents:
The number of parts in the whole is equal to 100, a multiple of 100,
or a factor of 100 (for grade 5); the number of parts in the whole
is a multiple or a factor of the numeric value representing the whole
(for grades 6-8). Decimals (including powers of ten): The number of
parts in the whole is equal to the denominator of the fractional equivalent
of the decimal, a multiple of the denominator of the fractional equivalent
of the decimal, or a factor of the denominator of the fractional equivalent
of the decimal. |
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| M(N&O)-5-2 Demonstrates understanding of the relative magnitude of numbers by ordering, comparing, or identifying equivalent positive fractional numbers, decimals, or benchmark percents within number formats (fractions to fractions, decimals to decimals, or percents to percents); or integers in context using models or number lines. | ||
| M(N&O)-5-3 Demonstrates conceptual understanding of mathematical operations by describing or illustrating the meaning of a remainder with respect to division of whole numbers using models, explanations, or solving problems. | Student Work Sample (PDF) Meaning of remainders with respect to division of whole numbers |
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| M(N&O)-5-4 Accurately solves
problems involving multiple operations on whole numbers or the use of
the properties of factors, multiples, prime, or composite numbers; and
addition or subtraction of fractions (proper) and decimals to the hundredths
place. (Division of whole numbers by up to a two-digit divisor.) (IMPORTANT: Applies the conventions of order of operations with and without parentheses.) |
Student Work Sample (PDF) Student Work Sample (PDF) |
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Web-based Math GLEs |
GLE |
Support Materials/ Student
Work
|
| M(G&M)-5-1 Uses properties or attributes of angles (right, acute, or obtuse) or sides (number of congruent sides, parallelism, or perpendicularity) to identify, describe, classify, or distinguish among different types of triangles (right, acute, obtuse, equiangular, or equilateral) or quadrilaterals (rectangles, squares, rhombi, trapezoids, or parallelograms). | Attributes and properties | |
| M(G&M)-5-3 Uses properties or attributes (shape of bases, number of lateral faces, or number of bases) to identify, compare, or describe three-dimensional shapes (rectangular prisms, triangular prisms, cylinders, spheres, pyramids, or cones). | Attributes and properties | |
| M(G&M)-5-6 Demonstrates conceptual understanding of perimeter of polygons, and the area of rectangles or right triangles through models, manipulatives, or formulas, the area of polygons or irregular figures on grids, and volume of rectangular prisms (cubes) using a variety of models, manipulatives, or formulas. Expresses all measures using appropriate units. | Student Work Sample (PDF) Measures and uses units of measure appropriately and consistently Whole number bases and whole number exponents, and fractional bases with whole number exponents |
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| M(G&M)-5-7 Measures and uses units of measures appropriately and consistently, and makes conversions within systems when solving problems across the content strands. Benchmarks in Appendix B. | Measures and uses units of measure appropriately and consistently | |
Web-based Math GLEs |
GLE |
Support
Materials/ Student Work
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| M(F&A)-5-1 Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables, sequences, or in problem situations; and writes a rule in words orsc symbols for finding specific cases of a linear relationship. |
Proportional linear relationships (y = kx) Non-proportional linear relationships (y = mx + b) |
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| M(F&A)-5-3 Demonstrates conceptual understanding of algebraic expressions by using letters to represent unknown quantities to write linear algebraic expressions involving any two of the four operations; or by evaluating linear algebraic expressions using whole numbers. |
Evaluating algebraic expressions Proportional linear relationships (y = kx) Non-proportional linear relationships (y = mx =b) |
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M(F&A)-5-4 Demonstrates
conceptual understanding of equality by showing equivalence between
two expressions using models or different representations of the expressions
(expressions consistent with the parameters of M(F&A)-5-3), by solving
one-step linear equations of the form ax = c, x ± b = c, or x/a
= c, where a, b, and c are whole numbers with a 
0; or by determining which values of a replacement set make the equation
(multi-step of the form ax ± b = c where a, b, and c are whole
numbers with a ? 0) a true statement (e.g., 2x + 3 = 11, {x: x = 2,
3, 4, 5}). |
Examples of forms of equations |
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Web-based Math GLEs |
GLE |
Support Materials/ Student Work
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| M(DSP)-5-1 Interprets a
given representation (tables, bar graphs, circle graphs, or line graphs)
to answer questions related to the data, to analyze the data to formulate
or justify conclusions, to make predictions, or to solve problems.
|
Interprets a given representation | |
| M(DSP)-5-2 Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using measures of central tendency (mean, median, or mode) or range to analyze situations, or to solve problems. | ||
| M(DSP)-5-3 Identifies or describes representations or elements of representations that best display a given set of data or situation, consistent with the representations required in M(DSP)-5-1. | Representation | |
| M(DSP)-5-5 For a probability event in which the sample space may or may not contain equally likely outcomes, determines the experimental or theoretical probability of an event and expresses the result as a fraction. | ||