NECAP Grade Level Expectations (GLEs) for Math Grade 4
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 4 GLEs to be
administered Fall of Grade 5:
Practice
Test | Practice
Test Resource Material (with Sample Student Work)
NECAP 2005 Released Items for Grade 4 to be administered
Fall of Grade 5:
Released Items | Support
Materials
Web-based Math GLEs |
GLE |
Support
Materials/ Student Work
|
| M(N&O)-4-1
Demonstrates conceptual understanding of rational numbers with respect
to: |
Student Work Sample (PDF) |
|
| M(N&O)-4-2 Demonstrates understanding of the relative magnitude of numbers from 0 to 999,999 by ordering or comparing whole numbers; and ordering, comparing, or identifying equivalent proper positive fractional numbers; or decimals using models, number lines, or explanations. | ||
| M(N&O)-4-3 Demonstrates conceptual understanding of mathematical operations by describing or illustrating the relationship between repeated subtraction and division (no remainders); the inverse relationship between multiplication and division of whole numbers; or the addition or subtraction of positive fractional numbers with like denominators using models, number lines, or explanations. |
Area model to represent part to whole relationship Inverse relationships in operations Relationship between repeated addition and multiplication of whole numbers |
|
| M(N&O)-4-4 Accurately solves
problems involving multiple operations on whole numbers or the use of
the properties of factors and multiples; and addition or subtraction
of decimals and positive proper fractions with like denominators. (Multiplication
limited to 2 digits by 2 digits, and division limited to 1 digit divisors.)
(IMPORTANT: Applies the conventions of order of operations where the left to right computations are modified only by the use of parentheses.) |
||
Web-based Math GLEs |
GLE |
Support
Materials/ Student Work
|
| M(G&M)-4-1 Uses properties or attributes of angles (number of angles) or sides (number of sides, length of sides, parallelism, or perpendicularity) to identify, describe, or distinguish among triangles, squares, rectangles, rhombi, trapezoids, hexagons, or octagons; or classify angles relative to 90o as more than, less than, or equal to. | Student Work Sample (PDF) |
|
| M(G&M)-4-3 Uses properties or attributes (shape of bases or number of lateral faces) to identify, compare, or describe three-dimensional shapes (rectangular prisms, triangular prisms, cylinders, or spheres). | Attributes and properties | |
| M(G&M)-4-4 Demonstrates conceptual understanding of congruency by matching congruent figures using reflections, translations, or rotations (flips, slides, or turns), or as the result of composing or decomposing shapes using models or explanations. | Congruent
Composing and decomposing shapes Matching congruent figures using reflections, translations, and rotations |
|
| M(G&M)-4-5 Demonstrates conceptual understanding of similarity by applying scales on maps, or applying characteristics of similar figures (same shape but not necessarily the same size) to identify similar figures, or to solve problems involving similar figures. Describes relationships using models orsc explanations. | ||
| M(G&M)-4-6 Demonstrates conceptual understanding of perimeter of polygons, and the area of rectangles, polygons or irregular shapes on grids using a variety of models, manipulatives, or formulas. Expresses all measures using appropriate units. |
Measures and uses units of measure appropriately and consistently Whole number bases and whole number exponents, and fractional bases with whole number exponents |
|
| M(G&M)-4-7 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 GLEsGrade 4 Strands:
Number and Operations Geometry and Measurement Functions and Algebra Data, Statistics, and Probability |
GLE |
Support
Materials/ Student Work
|
| M(F&A)-4-1 Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables or sequences; and writes a rule in words orsc symbols to find the next case. | Patterns | |
| M(F&A)-4-3 Demonstrates conceptual understanding of algebraic expressions by using letters or symbols to represent unknown quantities to write simple linear algebraic expressions involving any one of the four operations; or by evaluating simple linear algebraic expressions using whole numbers. | Student Work Sample (PDF) Evaluating algebraic expressions Proportional linear relationships (y = kx) |
|
M(F&A)-4-4 Demonstrates
conceptual understanding of equality by showing equivalence between
two expressions using models or different representations of the expressions,
by simplifying numerical expressions where left to right computations
may be modified only by the use of parentheses [e.g., 14 - (2 ×
5)] (expressions consistent with the parameters of M(F&A)-4-3),
and by solving one-step linear equations of the form ax = c, x ±
b = c, where a, b, and c are whole numbers with a 
0. |
Demonstrates
conceptual understanding of equality by solving equivalence Proportional linear relationships (y = kx) |
|
Web-based Math GLEs |
GLE |
Support
Materials/ Student Work
|
| M(DSP)-4-1 Interprets a given
representation (line plots, tables, bar graphs, pictographs, or circle
graphs) to answer questions related to the data, to analyze the data
to formulate or justify conclusions, to make predictions, or to solve
problems. (IMPORTANT: Analyzes data consistent with concepts and skills in M(DSP)-4-2.) |
Interprets a given representation | |
| M(DSP)-4-2 Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using measures of central tendency (median or mode), or range. | ||
| M(DSP)-4-4 Uses counting techniques to solve problems in context involving combinations or simple permutations (e.g., Given a map - Determine the number of paths from point A to point B.) using a variety of strategies (e.g., organized lists, tables, tree diagrams, orsc others). | Solves problems using a variety of counting strategies | |
| M(DSP)-4-5 For a probability event in which the sample space may or may not contain equally likely outcomes, determines the theoretical probability of an event and expresses the result as part to whole (e.g., two out of five). | ||