END OF GRADE 4: NH GRADE LEVEL EXPECTATIONS

STANDARDS UNWRAPPED

CALENDAR FOR STANDARDS MASTERY

FALL REVIEW OF STANDARDS

WINTER REVIEW OF STANDARDS

SPRING REVIEW OF STANDARDS

Numbers and Operations

LEVEL OF EMPHASIS ON NECAP 50%

M(N&O)–4–1 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. ClICK HERE FOR SAMPLE QUESTION.   MORE SAMPLES.

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. ClICK HERE FOR SAMPLE QUESTION.  MORE SAMPLES.

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. ClICK HERE FOR SAMPLE QUESTION.

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.) ClICK HERE FOR SAMPLE QUESTION. MORE SAMPLES.  ANOTHER EXAMPLE.

NECAP VOCABULARY FOR THIS STANDARD.

Geometry and Measurement

LEVEL OF EMPHASIS ON NECAP 20%

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 90 as more than, less than, or equal to.

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). ClICK HERE FOR SAMPLE QUESTION.

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. CLICK HERE FOR SAMPLE QUESTION.

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 and 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. CLICK HERE FOR SAMPLE QUESTION.

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.

NECAP VOCABULARY FOR THIS STANDARD.

Algebra and Functions

LEVEL OF EMPHASIS ON NECAP 15%

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 or symbols to find the next case.

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 .

NECAP VOCABULARY FOR THIS STANDARD.

Data, Statistics and Probability

LEVEL OF EMPHASIS ON NECAP 15%

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.) CLICK HERE FOR SAMPLE QUESTION.

  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 and others. CLICK HERE FOR SAMPLE QUESTION.

  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).

NECAP VOCABULARY FOR THIS STANDARD.