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4.MA-04-1
Number Properties and Operations
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4.MA-04-1.1
Number Sense
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4.MA-04-1.1.1
Students will:
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4.MA-04-1.1.1.a
apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to represent whole numbers (0 to 99,999):
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4.MA-04-1.1.1.b
apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, symbols) to describe commonly used fractions through tenths and decimals through hundredths;
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4.MA-04-1.1.1.c
apply these numbers to represent real-world problems and
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4.MA-04-1.1.1.d
explain how the base 10 number system relates to place value.
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4.MA-04-1.1.2
Students will read, write and rename whole numbers, fractions and decimals, and apply to real-world and mathematical problems.
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4.MA-04-1.1.3
Students will compare (<, >, =) and order whole numbers, commonly used fractions and decimals, and explain the relationships (equivalence, order) between and among them.
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4.MA-04-1.2
Estimation
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4.MA-04-1.2.1
Students will apply and describe appropriate strategies for estimating quantities of objects and computational results.
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4.MA-04-1.3
Number Operations
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4.MA-04-1.3.1
Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints:
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4.MA-04-1.3.1.a
add and subtract whole numbers with four digits or less;
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4.MA-04-1.3.1.b
multiply whole numbers with two digits or less;
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4.MA-04-1.3.1.c
divide whole numbers with three digits or less by single-digit divisors (with or without remainders);
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4.MA-04-1.3.1.d
add and subtract fractions with like denominators less than or equal to 10 and
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4.MA-04-1.3.1.e
add and subtract decimals through hundredths.
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4.MA-04-1.3.2
Students will skip-count forward and backward by 2s, 3s, 4s, 5s, 10s, 20s, 25s, 50s, 100s, 1,000, and 10,000s.
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4.MA-04-1.4
Properties of Numbers and Operations
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4.MA-04-1.5.1
Students will identify and determine odd numbers, even numbers, multiples of a number and factors of a number, and will apply these numbers to solve real-world problems.
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4.MA-04-1.5.2
Students will use the commutative properties of addition and multiplication, the associative properties of addition and multiplication, the identity properties of addition and multiplication and the zero property of multiplication in written and mental computation.
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4.MA-04-2
Measurement
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4.MA-04-2.1
Measuring Physical Attributes
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4.MA-04-2.1.1
Students will apply standard units to measure length (to the nearest quarter-inch or the nearest centimeter) and to determine:
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4.MA-04-2.1.1.a
weight (ounce, pound; gram, kilogram);
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4.MA-04-2.1.1.b
perimeter;
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4.MA-04-2.1.1.c
area (figures that can be divided into rectangular shapes);
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4.MA-04-2.1.1.d
time (nearest five minutes) and
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4.MA-04-2.1.1.e
temperature (Fahrenheit and Celsius).
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4.MA-04-2.1.2
Students will choose and use appropriate tools (e.g., thermometer, scales, balances, clock, meter stick, yardstick, ruler) for specific measurement tasks.
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4.MA-04-2.1.3
Students will use nonstandard and standard units of measurement to identify measurable attributes of an object (length and width) using appropriate units of measurement.
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4.MA-04-2.1.4
Students will use measurements to describe and compare attributes of objects to include length (in, ft, yd, mile; cm, m, km), width, height, money (cost), temperature and weight (oz, lb, ton; g, kg); sort objects and compare attributes of objects.
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4.MA-04-2.1.5
Students will use nonstandard and standard units to measure angles (as compared to 90º).
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4.MA-04-2.1.6
Students will estimate weight, length, perimeter, area, angle measures and time using appropriate units of measurement.
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4.MA-04-2.2
Systems of Measurement
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4.MA-04-2.2.1
Students will describe, define, give examples of and use to solve real-world and mathematical problems nonstandard and standard (U.S. Customary, metric) units of measurement (e.g., weight - oz., lbs., tons, g, kg; length - in., ft., yd., mile, cm, m, km; area in square units) and money.
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4.MA-04-2.2.2
Students will determine elapsed time to the nearest quarter hour.
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4.MA-04-2.2.3
Students will convert units within the same measurement system, including money, time (seconds, minutes, hours, days, weeks, months, years), weight (ounces, pounds) and length (inches, feet, yards).
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4.MA-04-3
Geometry
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4.MA-04-3.1
Shapes and Relationships
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4.MA-04-3.1.1
Students will describe and provide examples of basic geometric elements and terms [points, segments, lines (perpendicular, parallel, intersecting), rays, angles (acute, right, obtuse), sides, edges, faces, bases, vertices] and will apply these elements to solve real-world and mathematical problems.
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Geometry: Lines, line segments, and rays (Third grade - P.10)
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Geometry: Count and compare sides, edges, faces, and vertices (Fourth grade - P.7)
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Geometry: Acute, right, obtuse, and straight angles (Fourth grade - P.10)
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Geometry: Parts of a circle (Fourth grade - P.13)
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Geometry: Parallel, perpendicular, intersecting (Fourth grade - P.21)
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Geometry: Lines, line segments, and rays (Fifth grade - B.26)
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4.MA-04-3.1.2
Students will describe and provide examples of basic two-dimensional shapes [circles, triangles (right, equilateral), squares, rectangles, trapezoids, rhombuses, pentagons, hexagons, octagons] and will apply these shapes to solve real-world and mathematical problems.
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4.MA-04-3.1.3
Students will describe and provide examples of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes, triangular and rectangular prisms) and will apply the attributes to solve real-world and mathematical problems.
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4.MA-04-3.1.4
Students will explore two-dimensional representations of three-dimensional objects (nets).
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4.MA-04-3.1.5
Students will identify and describe congruent and similar figures in real-world and mathematical problems.
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4.MA-04-3.2
Transformations of Shapes
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4.MA-04-3.2.1
Students will describe and provide examples of line symmetry in real-world and mathematical problems or will apply one or two lines of symmetry to construct a simple geometric design.
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4.MA-04-3.2.2
Students will identify basic two-dimensional shapes in different orientations using 90º rotations (turns) around a point of rotation, reflections (flips) and translations (slides) within a plane.
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4.MA-04-3.3
Coordinate Geometry
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4.MA-04-3.3.1
Students will identify and graph ordered pairs on a positive coordinate system scaled by ones or locate points on a grid.
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4.MA-04-4
Data Analysis and Probability
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4.MA-04-4.1
Data Representations
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4.MA-04-4.1.1
Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams).
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4.MA-04-4.1.2
Students will collect data.
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4.MA-04-4.1.3
Students will construct data displays (pictographs, bar graphs, line plots, Venn diagrams, tables).
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4.MA-04-4.2
Characteristics of Data Sets
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4.MA-04-4.2.1
Students will determine the median, mode (for a data set with no more than one mode) and range of a set of data.
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4.MA-04-4.3
Experiments and Samples
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4.MA-04-4.3.1
Students will pose questions that can be answered by collecting data.
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4.MA-04-4.4
Probability
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4.MA-04-4.4.1
Students will determine all possible outcomes of an activity/event with up to six possible outcomes.
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4.MA-04-4.4.2
Students will determine the likelihood of an event and the probability of an event (expressed as a fraction).
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4.MA-04-4.4.3
Students will describe and give examples of the probability of an unlikely event (near zero) and a likely event (near one).
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4.MA-04-5
Algebraic Thinking
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4.MA-04-5.1
Patterns, Relations and Functions
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4.MA-04-5.1.1
Students will extend patterns (e.g., 108, 208, 308, 408, ...) from real-world and mathematical problems; compare simple patterns (numbers, pictures, words); and describe rules for simple number patterns (e.g., 1, 3, 5, 7, ...; 5, 10, 15, 20, ...; 30, 27, 24, 21, ...).
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4.MA-04-5.1.2
Students will describe functions (input-output) through pictures, tables, and words; and will analyze functions from a table based on real-world and mathematical problems.
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4.MA-04-5.1.3
Students will determine the value of an output given a function rule and an input value.
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4.MA-04-5.3
Equations and Inequalities
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4.MA-04-5.3.1
Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a variable or a missing value (e.g., 4 = 7 - ___, N + 5 > 14, 1/2 + N = 1) and apply simple number sentences to solve mathematical and real-world problems.
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