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4.1.0
Numbers, Number Sense, and Computation
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4.1.4.1
Place Value
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4.1.4.1.1
Identify and use place value positions of whole numbers to one million.
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4.1.4.2
Fractions
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4.1.4.2.1
Identify fractions and compare fractions with like denominators using models, drawings, and numbers.
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4.1.4.3
Comparing and Ordering
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4.1.4.3.1
Read, write, compare, and order whole numbers.
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4.1.4.3.2
Read and write number words.
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4.1.4.4
Counting
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4.1.4.4.1
Count by multiples of a given number.
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4.1.4.4.2
Explain relationships between skip counting, repeated addition, and multiples.
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4.1.4.5
Facts
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4.1.4.5.1
Immediately recall and use multiplication and corresponding division facts (products to 144).
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4.1.4.6
Estimating and Estimation Strategies
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4.1.4.6.1
Estimate to determine the reasonableness of an answer in mathematical and practical situations.
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4.1.4.7
Computation
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4.1.4.7.1
Add and subtract multi-digit numbers.
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4.1.4.7.2
Multiply and divide multi-digit numbers by a one-digit whole number with regrouping, including monetary amounts as decimals.
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4.1.4.8
Solving Problems and Number Theory
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4.1.4.8.1
Generate and solve addition, subtraction, multiplication, and division problems using whole numbers in practical situations.
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4.2.0
Patterns, Functions, and Algebra
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4.2.4.1
Patterns
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4.2.4.1.1
Identify, describe, and represent patterns and relationships in the number system, including arithmetic and geometric sequences.
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4.2.4.2
Variables and Unknowns
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4.2.4.2.1
Model, explain, and solve open number sentences involving addition, subtraction, multiplication, and division.
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4.2.4.2.2
Select the solution to an equation from a given set of numbers.
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4.2.4.3
Number Sentences, Expressions, and Polynomials
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4.2.4.3.1
Complete number sentences with the appropriate words and symbols (+, -, x, รท, >, <, =).
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4.3.0
Measurement
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4.3.4.1
Comparison, Estimation, and Conversion
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4.3.4.1.1
Estimate and convert units of measure for length, area, and weight within the same measurement system (customary and metric).
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4.3.4.1.2
Estimate temperature in practical situations.
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4.3.4.2
Precision in Measurements
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4.3.4.2.1
Measure length, area, temperature, and weight to a required degree of accuracy in customary and metric systems.
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4.3.4.3
Formulas
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4.3.4.3.1
Define and determine the perimeter of polygons and the area of rectangles, including squares.
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4.3.4.4
Money
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4.3.4.4.1
Determine totals for monetary amounts in practical situations.
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4.3.4.4.2
Use money notation to add and subtract given monetary amounts
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4.3.4.6
Time
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4.3.4.6.1
Use A.M. and P.M. appropriately in describing time.
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4.3.4.6.2
Use elapsed time in quarter-hour increments, beginning on the quarter-hour, to determine start, end, and elapsed time.
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4.3.4.6.3
Recognize the number of weeks in a year, days in a year, and days in a month.
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4.4.0
Spatial Relationships, Geometry, and Logic
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4.4.4.1
Two - Dimensional Shapes
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4.4.4.1.1
Identify, draw, and classify angles, including straight, right, obtuse, and acute.
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4.4.4.2
Congruence, Similarity, and Transformations
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4.4.4.2.1
Identify shapes that are congruent, similar, and/or symmetrical using a variety of methods including transformational motions.
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4.4.4.3
Coordinate Geometry and Lines of Symmetry
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4.4.4.3.1
Identify coordinates for a given point in the first quadrant.
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4.4.4.3.2
Locate points of given coordinates on a grid in the first quadrant.
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4.4.4.4
Three - Dimensional Figures
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4.4.4.4.1
Identify, describe, and classify two- and three-dimensional figures by relevant properties including the number of vertices, edges, and faces using models
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4.4.4.6
Lines, Angles, and Their Properties
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4.4.4.6.1
Identify, draw, label, and describe points, line segments, rays, and angles.
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4.4.4.9
Logic
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4.4.4.9.1
Use the connectors and, or, and not to describe the members of a set.
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4.5.0
Data Analysis
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4.5.4.1
Data Collection and Organization
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4.5.4.1.1
Pose questions that can be used to guide the collection of categorical and numerical data.
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4.5.4.1.2
Organize and represent data using a variety of graphical representations including frequency tables and line plots.
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Data, charts, and graphs: Read a table (Fourth grade - J.1)
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Data, charts, and graphs: Line graphs (Fourth grade - J.2)
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Data, charts, and graphs: Bar graphs (Fourth grade - J.3)
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Data, charts, and graphs: Frequency charts (Fourth grade - J.4)
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Data, charts, and graphs: Stem-and-leaf plots (Fourth grade - J.5)
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Data, charts, and graphs: Circle graphs (Fourth grade - J.6)
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Data, charts, and graphs: Choose the best type of graph (Fourth grade - J.7)
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4.5.4.2
Central Tendency and Data Distribution
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4.5.4.2.1
Model and compute range.
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4.5.4.2.2
Model the measures of central tendency for mode and median.
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4.5.4.3
Interpretation of Data
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4.5.4.3.1
Interpret data and make predictions using frequency tables and line plots.
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4.5.4.5
Experimental and Theoretical Probability
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4.5.4.5.1
Conduct simple probability experiments using concrete materials.
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4.5.4.5.2
Represent the results of simple probability experiments as fractions to make predictions about future events.
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