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Pennsylvania Standards for Sixth Grade Math

PA.2.1. Numbers, Number Systems and Number Relationships

2.1.6.A. Model and compare values of whole numbers, mixed numbers, fractions, and decimals.

Add/Subtract FractionsFreeWorksheets :3Study Guides :1Simplify FractionsWorksheets :3Study Guides :1Vocabularies :1Proportions/Equivalent FractionsWorksheets :3Study Guides :1Fractions/DecimalsWorksheets :3Study Guides :1Exponential & Scientific NotationWorksheets :6Study Guides :1Vocabularies :1Ordering DecimalsWorksheets :6Study Guides :1Vocabularies :1Compare and Order FractionsWorksheets :3Study Guides :1Vocabularies :1PercentsWorksheets :6Study Guides :1Vocabularies :1Equivalent FractionsWorksheets :3Study Guides :1Vocabularies :1Compare and Order NumbersWorksheets :3Study Guides :1Add/Subtract FractionsWorksheets :3Study Guides :1Ordering FractionsWorksheets :6Study Guides :1Multiply/Divide FractionsWorksheets :4Study Guides :1EstimationWorksheets :3Study Guides :1Simplify FractionsWorksheets :3Study Guides :1RoundingWorksheets :3Study Guides :1RatioWorksheets :7Study Guides :1Vocabularies :1Adding FractionsWorksheets :3Study Guides :1Multiply FractionsWorksheets :3Study Guides :1ProbabilityFreeWorksheets :4Study Guides :1Positive & Negative IntegersWorksheets :4Study Guides :1Ordering FractionsWorksheets :3Study Guides :1Subtracting FractionsWorksheets :3Study Guides :1Fractions/DecimalsWorksheets :3Study Guides :1RatioWorksheets :3Study Guides :1Simple ProportionsWorksheets :3Study Guides :1Add/Subtract/Multiply/Divide DecimalsWorksheets :4Study Guides :1Vocabularies :1Less Than, Greater ThanWorksheets :3Study Guides :1Multiple Representation of Rational NumbersWorksheets :3Study Guides :1Adding FractionsWorksheets :3Study Guides :1Using IntegersWorksheets :4Study Guides :1Decimal OperationsWorksheets :3Study Guides :1Exponents, Factors and FractionsWorksheets :4Study Guides :1Fraction OperationsWorksheets :3Study Guides :1Numerical ProportionsWorksheets :4Study Guides :1Introduction to PercentWorksheets :4Study Guides :1

2.1.6.B. Represent whole numbers, fractions, mixed numbers, decimals, and percents in equivalent forms.

2.1.6.C. Use models to represent the concept of equivalent forms of a fraction, decimal, and/or percent.

2.1.6.D. Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers.

2.1.6.E. Apply number theory concepts to calculate the GCF (Greatest Common Factor) and/or LCM (Least Common Multiple) of two numbers.

2.1.6.F. Apply the associative, commutative, distributive and/or identity properties to write equivalent forms of expressions.

PA.2.10. Trigonometry

2.10.6.A. Identify and compare parts of right triangles, including right angles, acute angles, hypotenuses, and legs.

PA.2.11. Concepts of Calculus

2.11.6.A. Make comparisons of numbers (e.g., more, less, same, least, most, greater than, less than).

2.11.6.B. Describe the relationship between rates of change and another variable (e.g., time, temperature).

PA.2.2. Computation and Estimation

2.2.6.B. Add, subtract, multiply, and divide whole numbers, decimals, fractions, and mixed numbers.

2.2.6.C. Apply the associative, commutative, distributive, and/or identity properties to evaluate numerical expressions.

2.2.6.D. Estimate solutions of problems involving whole numbers and decimals and check the reasonableness of those estimates.

PA.2.3. Measurement and Estimation

2.3.6.A. Use models to illustrate the meaning of perimeter, area, and volume.

2.3.6.B. Use appropriate units to measure perimeter, area, and volume; use a protractor to measure angles between 0 and 180 degrees.

2.3.6.C. Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days.

2.3.6.D. Perform basic conversions within the metric and within the customary systems.

PA.2.6. Statistics and Data Analysis

2.6.6.A. Gather data from a variety of appropriate sources.

2.6.6.B. Select an appropriate method to organize data; select an appropriate format to display data.

2.6.6.C. Select and use, as appropriate, the mean, median, mode, and/or range to describe sets of data.

2.6.6.E. Interpret data displayed in a table, histogram, graph, or data summarized by numerical measures.

PA.2.7. Probability and Predictions

2.7.6.A. Collect data and estimate the likelihood of outcomes of an event.

2.7.6.C. Express the probability of a simple event as a fraction, decimal, and percent.

2.7.6.D. List the possible outcomes for two independent events and compare the outcomes.

2.7.6.E. Find and interpret the experimental probability of an outcome of a simple event.

PA.2.8. Algebra and Functions

2.8.6.A. Use the concept of equality to demonstrate understanding of the distributive property.

2.8.6.B. Select and use strategies to solve number sentences (and inequalities) and explain the method of solution.

2.8.6.C. Recognize, describe, extend, create, replicate, form a rule, and/or find a missing element for a variety of whole number patterns, sequences, and relationships verbally, numerically, symbolically, and graphically.

2.8.6.D. Determine a functional rule from a table or graph.

2.8.6.E. Use combinations of symbols and numbers to create expressions, equations, and inequalities that model mathematical situations.

2.8.6.F. Interpret the results of solving equations in one variable in the context of the situation that motivated the model.

PA.2.9. Geometry

2.9.6.A. Identify, define, label, and/or describe properties of 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.

2.9.6.C. Identify on a 2- dimensional coordinate system the location of points with non-negative fractional or decimal coordinates; plot in a two-dimensional coordinate system a point represented by an ordered pair of nonnegative fractions, mixed numbers, or decimals.

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