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5.M.1
Number and Operation
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5.M.1.1
Understand and use numbers.
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5.M.1.1.1
Read, write, compare, and order whole numbers through millions and decimal numbers through thousandths.
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5.M.1.1.2
Identify and apply place value in whole numbers and decimal numbers to thousandths.
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5.M.1.1.3
Count back change from $10.00.
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5.M.1.1.4
Compare and order commonly used fractions and their equivalents.
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5.M.1.1.5
Identify decimal equivalents of commonly used fractions.
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5.M.1.1.6
Apply the number theory concepts of primes, composites, multiples, and factors.
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5.M.1.1.7
Select strategies appropriate for solving a problem.
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5.M.1.1.8
Use appropriate vocabulary.
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5.M.1.2
Perform computations accurately.
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5.M.1.2.1
Recall basic multiplication and division facts up to 10's.
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5.M.1.2.2
Add and subtract decimal numbers through thousandths.
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5.M.1.2.3
Multiply and divide whole numbers.
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5.M.1.2.4
Add and subtract fractions with like denominators without simplification.
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5.M.1.2.5
Evaluate numerical expressions that include parentheses.
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5.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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5.M.1.2.7
Use a variety of strategies to solve real life problems.
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5.M.1.2.8
Use appropriate vocabulary.
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5.M.1.3
Estimate and judge reasonableness of results.
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5.M.1.3.1
Estimate to predict computation results.
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5.M.1.3.2
Identify when an estimate is sufficient or when an exact answer is required.
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5.M.1.3.3
Explain why a given estimate is an overestimate or underestimate.
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5.M.1.3.4
Use a four-function calculator to solve complex grade-level problems.
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5.M.1.3.5
Formulate conjectures and discuss why they must be or seem to be true.
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5.M.1.3.6
Use appropriate vocabulary.
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5.M.2
Concepts and Principles of Measurement
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5.M.2.1
Understand and use U.S. customary and metric measurements.
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5.M.2.1.1
Select and use appropriate units and tools to make formal measurements of length, temperature, weight, and volume (capacity) in both systems.
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5.M.2.1.2
Estimate length, time, weight, temperature, and volume (capacity) in real-world problems using standard units.
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5.M.2.1.3
Tell time to the nearest second.
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5.M.2.1.4
Solve real world problems related to elapsed time.
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5.M.2.1.5
Calculate the perimeter of polygons and the area of rectangles and squares.
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5.M.2.1.6
Convert units of length within each system.
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5.M.2.1.7
Convert days into weeks and years and years into decades and centuries.
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5.M.2.1.8
Recall length, volume (capacity), and mass equivalences involving millimeters, centimeters, meters, milliliters, liters, grams, and kilograms in the metric system.
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5.M.2.1.9
Use appropriate vocabulary.
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5.M.3
Concepts and Language of Algebra and Functions
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5.M.3.1
Use algebraic symbolism as a tool to represent mathematical relationships.
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5.M.3.1.1
Write a division problem as a proper and an improper fraction.
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5.M.3.1.2
Translate simple word statements for addition and multiplication into numeric expressions.
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5.M.3.1.3
Write a fact family when given two factors.
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5.M.3.1.4
Read and use symbols of "<," ">," and "=" to express relationships.
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5.M.3.2
Evaluate algebraic expressions.
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5.M.3.2.1
Use the following properties as they relate to addition and multiplication: commutative, associative, and distributive.
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5.M.3.3
Solve algebraic equations and inequalities.
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5.M.3.3.1
Solve missing factor equations.
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5.M.3.4
Understand the concept of functions.
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5.M.3.4.1
Identify the rule for a pattern using whole numbers and extend the pattern.
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5.M.3.4.2
Use appropriate vocabulary.
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5.M.3.6
Apply functions to a variety of problems.
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5.M.3.6.1
Use patterns to represent problems.
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5.M.4
Concepts and Principles of Geometry
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5.M.4.1
Apply concepts of size, shape, and spatial relationships.
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5.M.4.1.1
Identify, compare and analyze attributes of polygons and polyhedra and develop vocabulary to describe the attributes.
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5.M.4.1.2
Classify angles without formal measures as acute, right, obtuse, and/or straight.
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5.M.4.1.3
Identify and label points, lines, line segments, rays, and angles.
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5.M.4.1.4
Discuss and predict the results of sliding, flipping, and turning two-dimensional shapes.
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5.M.4.1.5
Identify shapes as congruent, similar, or symmetrical.
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5.M.4.1.6
Explain the difference between perimeter and area of a polygon.
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5.M.4.1.7
Use appropriate vocabulary.
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5.M.4.3
Apply graphing in two dimensions.
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5.M.4.3.1
Use ordered pairs to identify and plot points in the first quadrant on a coordinate grid.
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5.M.5
Data Analysis, Probability, and Statistics
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5.M.5.1
Understand data analysis.
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5.M.5.1.1
Read and interpret tables, charts, bar graphs, and line graphs.
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Problem solving: Use Venn diagrams to solve problems (Fifth grade - J.5)
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Data, charts, and graphs: Read a table (Fifth grade - R.1)
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Data, charts, and graphs: Line graphs (Fifth grade - R.2)
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Data, charts, and graphs: Bar graphs (Fifth grade - R.3)
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Data, charts, and graphs: Pictographs (Fifth grade - R.4)
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Data, charts, and graphs: Frequency charts (Fifth grade - R.5)
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Data, charts, and graphs: Stem-and-leaf plots (Fifth grade - R.6)
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Data, charts, and graphs: Circle graphs (Fifth grade - R.7)
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Data, charts, and graphs: Histograms (Fifth grade - R.8)
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5.M.5.1.2
Use appropriate vocabulary.
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5.M.5.2
Collect, organize, and display data.
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5.M.5.2.1
Collect, organize, and display the data with appropriate notation in tables, charts, bar graphs, and line graphs.
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5.M.5.3
Apply simple statistical measurements.
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5.M.5.3.1
Find measures of central tendency - median and mode - with simple sets of data using whole numbers.
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5.M.5.3.2
Find the range of a set of data using whole numbers.
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5.M.5.4
Understand basic concepts of probability.
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5.M.5.4.1
Predict, perform, and record results of simple probability experiments using fraction notation.
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5.M.5.4.2
Use the language of probability.
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5.M.5.5
Make predictions or decisions based on data.
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5.M.5.5.1
Make predictions and decisions based on data.
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