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4.MN&O
Number and Operations
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4.MN&O-4-1
Demonstrates conceptual understanding of rational numbers with respect to:
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4.MN&O-4-1.1
whole numbers from 0 to 999,999 through equivalency, composition, decomposition, or place value using models, explanations, or other representations; and
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4.MN&O-4-1.2
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.
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4.MN&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.
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4.MN&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.
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4.MN&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.)
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Addition: Add numbers up to millions (Fourth grade - B.1)
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Addition: Add numbers up to millions: word problems (Fourth grade - B.2)
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Addition: Add 3 or more numbers up to millions (Fourth grade - B.5)
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Addition: Choose numbers with a particular sum (Fourth grade - B.7)
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Subtraction: Subtract numbers up to millions (Fourth grade - C.1)
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Subtraction: Subtract numbers up to millions: word problems (Fourth grade - C.2)
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Subtraction: Choose numbers with a particular difference (Fourth grade - C.5)
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Multiplication: Multiplication facts to 12 (Fourth grade - D.1)
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Multiplication: Choose the multiples of a given number up to 12 (Fourth grade - D.2)
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Multiplication: Multiply 1-digit numbers by larger numbers (Fourth grade - D.3)
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Multiplication: Multiply a 2-digit number by a 2-digit number: complete the missing steps (Fourth grade - D.8)
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Multiplication: Multiply a 2-digit number by a 2-digit number (Fourth grade - D.9)
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Multiplication: Multiply a 2-digit number by a 2-digit number: word problems (Fourth grade - D.10)
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Multiplication: Choose numbers with a particular product (Fourth grade - D.11)
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Multiplication: Multiply numbers ending in zeroes (Fourth grade - D.15)
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Multiplication: Multiply numbers ending in zeroes: word problems (Fourth grade - D.16)
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Multiplication: Multiply 3 numbers up to 2 digits each (Fourth grade - D.17)
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Multiplication: Inequalities with multiplication (Fourth grade - D.18)
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Division: Division facts to 12: word problems (Fourth grade - E.2)
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Division: Divide larger numbers, one-digit divisors (Fourth grade - E.4)
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Division: Divide larger numbers, one-digit divisors: word problems (Fourth grade - E.5)
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Division: Divide by 1-digit numbers: complete the table (Fourth grade - E.6)
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Division: Choose numbers with a particular quotient (Fourth grade - E.8)
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Division: Divide numbers ending in zeroes, one-digit divisors (Fourth grade - E.9)
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Division: Divisibility rules (Fourth grade - E.11)
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Division: Inequalities with division (Fourth grade - E.20)
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Mixed operations: Multi-step word problems (Fourth grade - F.1)
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Mixed operations: Word problems with extra or missing information (Fourth grade - F.3)
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Mixed operations: Solve word problems using guess-and-check (Fourth grade - F.4)
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Mixed operations: Choose numbers with a particular sum, difference, product, or quotient (Fourth grade - F.5)
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Mixed operations: Mentally add and subtract numbers ending in zeroes (Fourth grade - F.6)
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Mixed operations: Inequalities involving addition, subtraction, multiplication, and division (Fourth grade - F.7)
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Logical reasoning: Guess two numbers based on sum and difference (Fourth grade - K.1)
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Logical reasoning: Guess two numbers based on sum, difference, product, and quotient (Fourth grade - K.2)
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Money: Add and subtract money amounts (Fourth grade - M.3)
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Money: Making change (Fourth grade - M.5)
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Geometry: Use area and perimeter to determine cost (Fourth grade - P.18)
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Add and subtract fractions: Add and subtract fractions with like denominators: word problems (Fourth grade - R.2)
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Add and subtract fractions: Add 3 or more fractions with like denominators (Fourth grade - R.3)
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Add and subtract fractions: Find the missing numerator or denominator in addition and subtraction sentences (Fourth grade - R.9)
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Add and subtract fractions: Inequalities with addition and subtraction of fractions (Fourth grade - R.13)
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Add and subtract decimals: Add decimal numbers (Fourth grade - T.1)
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Add and subtract decimals: Subtract decimal numbers (Fourth grade - T.2)
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Add and subtract decimals: Add and subtract decimals: word problems (Fourth grade - T.3)
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Add and subtract decimals: Choose decimals with a particular sum or difference (Fourth grade - T.4)
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Add and subtract decimals: Add 3 or more decimals (Fourth grade - T.5)
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Add and subtract decimals: Add 3 or more decimals: word problems (Fourth grade - T.6)
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Add and subtract decimals: Complete the addition or subtraction sentence (Fourth grade - T.7)
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Add and subtract decimals: Inequalities with addition and subtraction (Fourth grade - T.8)
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4.MG&M
Geometry and Measurement
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4.MG&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.
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4.MG&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).
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4.MG&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.
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4.MG&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 or sc explanations.
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4.MG&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.
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4.MG&M-4-7
Measures and uses units of measures appropriately and consistently, and makes conversions within systems when solving problems across the content strands.
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4.MF&A
Functions and Algebra
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4.MF&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 sc symbols to find the next case.
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4.MF&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.
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4.MF&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 x 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 "not equal to" 0.
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4.MDSP
Data, Statistics, and Probability
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4.MDSP-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.
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4.MDSP-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.
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4.MDSP-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, or sc others).
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4.MDSP-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).
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