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4.1
Number and Operation
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Number, Number Relationships, and Number Systems
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4.1.1
Identify place value from hundred thousands through the hundredths place
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4.1.2
Order and compare using symbols; i.e., >, <, =, whole numbers (0 to 100,000) and decimals to hundredths
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4.1.3
Read and write numerals to 100,000
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4.1.4
Round whole numbers to the nearest tens, hundreds, thousands, ten thousands, and hundred thousands
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4.1.5
Represent numbers up to hundred thousands in standard and expanded forms
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4.1.6
Write tenths and hundredths as decimals and fractions
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4.1.7
Compare equivalent decimals and fractions, e.g., 5/10 =.5
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4.1.8
Use mathematical terms when communicating about computations involving fractions; i.e., numerator and denominator
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4.1.9
Explain the meaning of remainders in real-world situations
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4.1.10
Determine what information is relevant for solving a problem
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4.1.11
Use a variety of strategies to solve problems; e.g., guess and check, work backwards, draw pictures, use objects
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Operations and Their Properties
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4.1.12
Add and subtract whole numbers between 0 and 100,000
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4.1.13
Multiply multi-digit numbers by two-digit numbers
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4.1.14
Divide multi-digit numbers by a single-digit number
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4.1.15
Add and subtract fractions and mixed numbers with like denominators
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4.1.16
Add and subtract decimals
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4.1.17
Use the distributive property to simplify and perform computations
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Computational Fluency and Estimation
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4.1.18
Determine when a rounded solution is appropriate
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4.1.19
Estimate computations of whole numbers, fractions, and decimals
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4.2
Geometry and Spatial Sense
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Two- and Three-Dimensional Shapes, Geometric Properties and Relationships
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4.2.1
Analyze and describe the attributes of two- and three-dimensional shapes (i.e., circle, squares, trapezoid, rhombus)
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4.2.2
Identify, describe, and model (e.g., using straws or other materials) parallel, perpendicular, and intersecting lines and line segments
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Transformation and Symmetry
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4.2.3
Recognize the changes in position and orientation of two-dimensional figures after transformations; i.e., flips (reflections), turns (rotations), and slides (translations)
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4.2.4
Use motion geometry to show that shapes are congruent or similar
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4.3
Data Analysis, Statistics, and Probability
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Data Collection, Display, and Interpretation
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4.3.1
Determine a sample group to survey
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4.3.2
Collect and record data
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4.3.3
Organize and display data in line graphs and circle graphs
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4.3.4
Read, interpret, and generate questions from data displayed in graphs; i.e., line graphs and circle graphs
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4.3.5
Use computers and spreadsheets to organize and display data
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4.3.6
Use number lines and coordinate graphs to represent data
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Probability
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4.3.7
Conduct simple probability experiments
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Statistical Methods
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4.3.8
Determine or calculate the mode, mean/average, and range for a data set
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Predictions, Data Analysis and Inferences
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4.3.9
Make predictions and draw conclusions from simple probability experiments
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4.4
Measurement
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Measurable Attributes, Measurement Systems and Units
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4.4.1
State specific relationships between units within the same measuring system; e.g., feet to yards, minutes to hours, milliliters to liters
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4.4.2
Estimate and measure length to the nearest quarter inch
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4.4.3
Analyze relationships between perimeter and area
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4.4.4
Make change up to $20.00
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4.4.5
Apply the concept of elapsed time; i.e., schedules and calendars
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Measurement Tools, Techniques and Formulas
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4.4.6
Select appropriate units for measuring perimeter, area, and volume
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4.5
Algebra, Functions, and Patterns
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Patterns, Relations, and Functions
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4.5.1
Determine the missing elements of complex repeating patterns
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Numeric and Algebraic Representations
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4.5.2
Explain that variables represent unknowns
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Mathematical Modeling
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4.5.3
Solve problems with variables
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4.5.4
Use parentheses in solving simple equations
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