FOURTH GRADE GLEs

Number and Operations (7.6)

M4:1: Demonstrates conceptual understanding of rational numbers with respect to: whole numbers from 0 to 999,999 through equivalency, composition, decomposition, or place value using models, explanations, or other representations; and positive fractional numbers (benchmark fractions: a/2, a/3, a/4, a/5, a/6, a/8, or a/10, where a is a whole number greater than 0 and less than or equal to the denominator) as a part to whole relationship in area, set, or linear models where the number of parts in the whole are equal to, and a multiple or factor of the denominator; and decimals as hundredths within the context of money, or tenths within the context of metric measurements (e.g., 2.3 cm) using models, explanations, or other representations.M(N&O)-4-1

M4:2: 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)-4-2

M4:3: 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.M(N&O)-4-3

M4:4: 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.)M(N&O)-4-4

No M4:5 at this grade level.

M4:6: Mentally adds and subtracts whole numbers through twenty and multiplies whole numbers through twelve with accuracy

M4:7: Estimates and evaluates the reasonableness of solutions appropriate to grade level.

M4:8: Applies properties of numbers (odd, even, factor, multiple, remainders, composition/decomposition) to solve problems and to simplify

Geometry and Measurement (7.7)

M4:9: 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. M(G&M)-4-1

No M4:10 at this grade level

M4:11: 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).M(G&M)-4-3 Identifies components (faces, edges, and vertices) of three-dimensional shapes (cubes and rectangular prisms).

M4:12: 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. M(G&M)-5-4

M4:13: 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)-4-5

M4:14: 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.M(G&M)-4-6

M4:15: 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. M(G&M)-4-7

M4:16: Determines elapsed and accrued time to the ¼ hour.

No M4:17 at this grade level

M4:18: Solves problems using the Cartesian coordinate system (Quadrant I) to locate coordinates and to represent data from tables.

Functions and Algebra (7.8)

M1:19: Identifies and extends to specific cases a variety of patterns including sequences of shapes, sounds, movement, colors, letters, and numbers by extending the pattern to the next one, two or three elements.

M1:20: Demonstrates a conceptual understanding of linear relationships (y = kx) as a constant rate of change qualitatively (growth-student growing taller) and quantitatively (measurable growth-2 inches each year.

No M1:21 at this grade level

M1:22: Demonstrates conceptual understanding of equality by showing equivalence between two expressions (4+1=5; 2+3=5) by solving one-step equations involving whole number addition or subtraction using models, verbal explanations, or written equations.

Data, Statistics, and Probability (7.9)

M4:23: 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 M4:24.) M(DSP)-4-1And (tally charts, frequency charts, line graphs, Venn diagrams)

M4:24: 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)-4-2

M4:25: Organizes and displays data using line plots, bar graphs, tally charts and frequency charts, or tables to answer question related to the data, to analyze the data to formulate or justify conclusions, or to make predictions.(Analyzes data consistent with concepts and skills in M4:24.)

M4:26: 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).M(DSP)-4-4

M4:27: 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).M(DSP)-4-5

M4:28: In response to a teacher or student generated question or hypothesis, collects appropriate data, organizes the data, displays/represents the data, analyzes the data to draw conclusions about the questions or hypothesis being tested, and identifies the usefulness and limitations of approaches.(Analyzes data consistent with concepts and skills in M4:24)

M4:29: Uses experimental probability, records the outcomes, and describes the likelihood of an event as a value from 0 through 1 (for events that are certain to occur) written as either a ratio or as part to whole (e.g., 7 out of 10).

Vermont Standards 2.5 and 7.10: Mathematical Dimensions; Mathematical Problem Solving and Communication; and Application

M4:30: Demonstrate understanding of mathematical problem solving3 and communication through4:· Approach & Reasoning -- The reasoning, strategies, and skills used to solve the problem;· Connections -- Demonstration of observations, applications, extensions, and generalizations;· Solution -- All of the work that was done to solve the problem, including the answer;· Mathematical Language -- The use of mathematical language in communicating the solution; · Mathematical Representation -- The use of mathematical representation to communicate the solution; and · Documentation -- Presentation of the solution.