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PA.2.1. Numbers, Number Systems and Number Relationships
2.1.5.A. Apply number patterns to count and compare values of whole numbers, fractions, and decimals.
2.1.5.C. Use models to represent the concept of an integer, fraction, decimal, or percent.
2.1.5.D. Apply place value concepts to order and compare decimals and to express whole numbers and decimals in expanded notation.
2.1.5.E. Develop and apply number theory concepts (e.g., primes, factors, multiples, composites) to represent numbers in various ways.
2.1.5.F. Understand the concepts of multiplication and division and use the inverse relationships between multiplication and division, to determine unknown quantities in equations.
PA.2.11. Concepts of Calculus
2.11.5.A. Make comparisons of numbers (e.g., more, less, same, least, most, greater than, less than).
PA.2.2. Computation and Estimation
2.2.5.B. Multiply and divide single- and double-digit numbers; add and subtract fractions and mixed numbers; add, subtract, multiply and divide decimals.
2.2.5.D. Estimate results from calculations with basic operations of whole numbers and decimals and check the reasonableness of those estimates.
PA.2.3. Measurement and Estimation
2.3.5.A. Use concrete objects to demonstrate the meaning of measurement quantities (e.g., perimeter, area, weight, capacity).
2.3.5.B. Select and use appropriate instruments and units for measuring quantities to a specified level of accuracy.
2.3.5.C. Calculate perimeter and area, and sums and differences of measurements.
2.3.5.D. Perform basic conversions within a system.
PA.2.6. Statistics and Data Analysis
2.6.5.B. Use pictures, tallies, tables, charts, bar graphs, line graphs, diagrams, and graphs to organize, display, and analyze data.
2.6.5.C. Calculate mean and range, identify the median and the mode of a set of data, and use these quantities to describe the data.
PA.2.7. Probability and Predictions
2.7.5.B. Predict and determine why some outcomes of a particular event are certain, more likely, less likely, equally likely, or impossible.
2.7.5.C. Express probabilities as fractions and/or decimals.
PA.2.8. Algebra and Functions
2.8.5.A. Use the concept of equality to demonstrate understanding of the distributive property
2.8.5.B. Select and use strategies, including concrete objects, to solve number sentences (equations and inequalities) and explain the method of solution.
2.8.5.C. Recognize, describe, extend, create, replicate, and form a rule for a variety of patterns, sequences, and relationships verbally, numerically, symbolically, and graphically.
2.8.5.E. Use concrete objects and combinations of symbols and numbers to create expressions, equations, and inequalities that model mathematical situations.
2.9.5.A. Identify, describe, and define 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties.
2.9.5.C. Identify location of points with fractional or decimal coordinates on a number line or on a 2- dimensional coordinate system.
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