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4.M.1
Number and Operation
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4.M.1.1
Understand and use numbers.
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4.M.1.1.1
Read, write, compare, and order whole numbers to 100,000.
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4.M.1.1.2
Identify and apply place value in whole numbers.
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4.M.1.1.3
Count the value of a collection of bills and coins up to $100.00.
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4.M.1.1.4
Read, write, compare, and order commonly used fractions with pictorial representations.
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4.M.1.1.5
Use decimal numbers with money.
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4.M.1.1.6
Select strategies appropriate for solving a problem.
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4.M.1.1.7
Use appropriate vocabulary.
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4.M.1.2
Perform computations accurately.
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4.M.1.2.1
Recall multiplication facts through 10 x 10.
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4.M.1.2.2
Add and subtract whole numbers.
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4.M.1.2.3
Multiply up to two-digit by two-digit whole numbers and divide whole numbers by one-digit divisors.
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4.M.1.2.4
Add and subtract fractions with like denominators that do not require simplification.
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4.M.1.2.5
Add and subtract decimals using money.
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4.M.1.2.6
Select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three.
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4.M.1.2.7
Select and use appropriate operations to solve word problems and show or explain work.
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4.M.1.2.8
Use appropriate vocabulary.
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4.M.1.3
Estimate and judge reasonableness of results.
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4.M.1.3.1
Estimate to predict computation results.
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4.M.1.3.2
Use estimation to evaluate the reasonableness of an answer.
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4.M.1.3.3
Investigate the use of a four-function calculator to solve complex grade-level problems.
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4.M.1.3.4
Use appropriate vocabulary.
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4.M.2
Concepts and Principles of Measurement
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4.M.2.1
Understand and use U.S. customary and metric measurements.
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4.M.2.1.1
Select and use appropriate units and tools to make the formal measurements of length, temperature, and weight in both systems.
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4.M.2.1.2
Estimate length, time, weight, and temperature in real-world problems using standard units.
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4.M.2.1.3
Tell time to the nearest minute using digital and analog clocks.
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4.M.2.1.4
Solve real-world problems related to elapsed time.
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4.M.2.1.5
Convert units of length and time within the U. S. Customary system.
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4.M.2.1.6
State that there are 365 days in a year and 52 weeks in a year.
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4.M.2.1.7
Recall length and volume (capacity) equivalences involving inches, feet, yards, cups, pints, quarts, and gallons in the U.S. Customary system.
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4.M.2.1.8
Use appropriate vocabulary.
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4.M.3
Concepts and Language of Algebra and Functions
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4.M.3.1
Use algebraic symbolism as a tool to represent mathematical relationships.
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4.M.3.1.1
Write a division problem using a bracket (⌐) and/or the division symbol (รท).
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4.M.3.1.2
Write a number sentence using simple geometric shapes or letters of the alphabet as symbols to represent an unknown number.
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4.M.3.1.3
Show the relationship between multiplication and division using fact families.
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4.M.3.1.4
Read and use symbols of "<," ">," and "=" to express relationships with numbers through 1,000,000.
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4.M.3.2
Evaluate algebraic expressions.
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4.M.3.2.1
Use the identity and zero properties of multiplication.
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4.M.3.3
Solve algebraic equations and inequalities.
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4.M.3.3.1
Solve missing factor equations.
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4.M.3.4
Understand the concept of functions.
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4.M.3.4.1
Identify the rule (function) for a pattern using whole numbers and addition and then extend the pattern.
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4.M.3.4.2
Use appropriate vocabulary.
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4.M.4
Concepts and Principles of Geometry
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4.M.4.1
Apply concepts of size, shape, and spatial relationships.
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4.M.4.1.1
Identify, compare, and analyze attributes of two- and three- dimensional shapes, including parallel, intersecting, and perpendicular lines, and develop vocabulary to describe the attributes.
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4.M.4.1.2
Predict the results of sliding and flipping two-dimensional shapes.
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4.M.4.1.3
Identify multiple lines of symmetry in two-dimensional shapes.
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4.M.4.1.4
Discuss perimeters of polygons, and areas and perimeters of rectangles and squares, using concrete objects.
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4.M.4.1.5
Use appropriate vocabulary.
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4.M.4.3
Apply graphing in two dimensions.
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4.M.4.3.1
Use ordered pairs to identify the position of a point in the first quadrant on a coordinate grid.
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4.M.5
Data Analysis, Probability, and Statistics
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4.M.5.1
Understand data analysis.
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4.M.5.1.1
Read and interpret simple tables, charts, bar graphs, and line graphs.
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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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4.M.5.1.2
Use appropriate vocabulary.
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4.M.5.2
Collect, organize, and display data.
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4.M.5.2.1
Collect, organize, and display data in tables and charts to answer a question.
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4.M.5.2.2
Display data in a bar graph using appropriate notation such as a title, axes labels, and reasonable scales.
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4.M.5.3
Apply simple statistical measurements.
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4.M.5.3.1
Find the mode of a simple set of whole number data.
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4.M.5.4
Understand basic concepts of probability.
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4.M.5.4.1
Predict the results of simple probability experiments using coins or spinners (e.g., 3 out of 6 choices).
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4.M.5.5
Make predictions or decisions based on data.
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4.M.5.5.1
Make predictions based on data.
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