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4.NO
Number and Operations
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4.1
Understand relationships among numbers, use the four basic operations, compute fluently, and make reasonable estimates.
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4.1.a
Add and subtract up to five-digit whole numbers with and without regrouping.
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4.1.b
Add and subtract decimals through hundredths.
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4.1.c
Explain two or more methods of multiplying whole numbers (one- and two-digits) with justification.
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4.1.d
Explain two or more methods of dividing four-digit dividends by one- and two-digit divisors, with and without remainders, and justify the processes.
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4.1.e
Add and subtract fractions with like denominators.
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4.1.f
Model and identify equivalent fractions.
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4.1.g
Represent equivalence relationships between fractions and decimals using concrete materials, diagrams, or other models.
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4.1.h
Estimate products and quotients of whole numbers to include strategies such as rounding.
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4.1.i
Recall multiplication and division facts.
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4.1.j
Compose and decompose five-digit numbers and decimal numbers through hundredths, with representations in words, physical models, and expanded and standard forms.
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4.1.k
Determine and use benchmark numbers such as 0, 0.5 (½), and 1 to judge the magnitude of whole numbers, decimals, and fractions.
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4.1.l
Model factors and multiples of whole numbers.
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4.ALG
Algebra
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4.2
Analyze and represent patterns, number relationships, and functions using algebraic symbols. Demonstrate an understanding of the properties of the basic operations.
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4.2.a
Analyze a given numeric pattern and generate a similar pattern.
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4.2.b
Determine the value of variables in equations; justify the process used to make the determination.
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4.2.c
Construct input/output function tables and generalize the rule using words, models, and symbols.
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4.2.d
Explain the properties of the basic operations using models, numbers, and variables:
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4.2.d.1
Zero property of multiplication
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4.2.d.2
Associative properties of addition and multiplication
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4.2.d.3
Commutative properties of addition and multiplication
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4.2.d.4
Identity properties of addition and multiplication
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4.2.d.5
Distributive properties of multiplication over addition and subtraction
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4.2.e
Demonstrate and explain the inverse operations of addition/subtraction and multiplication/division.
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4.GEO
Geometry
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4.3
Analyze characteristics, properties, and relationships of two- and three-dimensional geometric shapes. Use coordinate geometry.
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4.3.a
Analyze and describe the similarities and differences between and among two- and three-dimensional geometric shapes, figures, and models using mathematical language.
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4.3.b
Identify and analyze the relationships between and among points, lines, line segments, angles, and rays.
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Geometry: Acute, right, obtuse, and straight angles (Fourth grade - P.10)
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Geometry: Angles of 90, 180, 270, and 360 degrees (Fourth grade - P.11)
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Geometry: Measure angles with a protractor (Fourth grade - P.12)
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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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4.3.c
Identify transformations (rotations [turns], reflections [flips], and translations [slides]) of two-dimensional figures.
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4.3.d
Locate ordered pairs in the first quadrant of the coordinate plane.
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4.MEA
Measurement
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4.4
Evaluate and justify measurable attributes of objects, units, systems, and processes. Perform measurements.
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4.4.a
Estimate and measure a given object to the nearest eighth of an inch.
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4.4.b
Convert capacity, weight/mass, and length within the English and metric systems of measurement.
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4.4.c
Describe relationships of rectangular area to numerical multiplication.
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4.4.d
Use appropriate tools to determine, estimate, and compare units for measurement of weight/mass, area, size of angle, temperature, length, distance, and volume in English and metric systems and time in real-life situations.
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4.DAP
Data Analysis and Probability
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4.5
Formulate and analyze data. Evaluate inferences and predictions.
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4.5.a
Draw, label, and interpret bar graphs, line graphs, and stem-and-leaf plots.
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4.5.b
Find and interpret the mean, mode, median, and range of a set of data.
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4.5.c
Compare data and interpret quantities represented on tables and graphs including line graphs, bar graphs, frequency tables, and stem-and-leaf plots to make predictions and solve problems based on the information.
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