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## PA.2.1.Numbers, Number Systems and Number Relationships

Numbers, Number Systems and Number Relationships
2.1.7.A. Model and compare values of integers, mixed numbers, fractions, and decimals.
Flip Charts Box It Up
Flip Charts Triangle Tricks
Vocabulary Terms Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

2.1.7.B. Represent and use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, exponents, powers, roots, absolute values).
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions

2.1.7.C. Use ratio and proportion to model relationships between quantities.
Flip Charts Applying Percents
Flip Charts Box It Up
Flip Charts The Real Numbers
Flip Charts Triangle Tricks
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

2.1.7.D. Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, mixed numbers, and/or integers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

2.1.7.E. Apply concepts of prime and composite numbers to calculate GCFs (Greatest Common Factor) and LCMs (Least Common Multiple) of numbers.

2.1.7.F. Understand the concepts of ratio, proportion, percents, and rates to determine unknown quantities in equations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

## PA.2.10.Trigonometry

Trigonometry
2.10.7.A. Compute measures of sides and angles using proportions, the Pythagorean Theorem, and right triangle relationships.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

## PA.2.11.Concepts of Calculus

Concepts of Calculus
2.11.7.A. Compare and order rational numbers; identify the maximum and/or minimum values of a set of numbers.
Vocabulary Terms Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Tables

## PA.2.2.Computation and Estimation

Computation and Estimation
2.2.7.B. Add, subtract, multiply, and divide whole numbers, decimals, fractions, mixed numbers, or integers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Distributive Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

2.2.7.C. Use the order of operations to evaluate numerical expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

2.2.7.D. Estimate solutions of problems involving calculations with basic operations of whole numbers, decimals, fractions, or mixed numbers and check the reasonableness of those estimates.
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

## PA.2.3.Measurement and Estimation

Measurement and Estimation
2.3.7.A. Demonstrate an understanding of measurable attributes and the units, systems, and processes of measurement.
Flip Charts Dot to Dot
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

2.3.7.C. Use measurement formulas to calculate volume, area, and perimeter and to calculate circumference and area of circles.
Flip Charts Algebra Skills
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts Shape Up
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles
Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons
Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

## PA.2.4.Mathematical Reasoning and Connections

Mathematical Reasoning and Connections
2.4.7.A. Draw logical conclusions and justify reasoning for conclusions within mathematical contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

## PA.2.5.Mathematical Problem Solving and Communication

Mathematical Problem Solving and Communication
2.5.7.A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, apply estimation skills as appropriate, check whether the plan makes sense, and explain how the problem was solved in grade appropriate contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

## PA.2.6.Statistics and Data Analysis

Statistics and Data Analysis
2.6.7.A. Identify different ways of selecting a sample and choosing an appropriate sampling technique for a given situation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

2.6.7.B. Organize and display data using an appropriate data display, such as circle graphs, histograms, line graphs, double bar graphs, and stem and- leaf plots, Venn diagrams, tables, and charts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

2.6.7.C. Use numerical summaries to describe different sets of data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

2.6.7.E. Interpret trends and make predictions based on data displayed in a graph.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

## PA.2.7.Probability and Predictions

Probability and Predictions
2.7.7.A. Predict the outcome of a grade-level appropriate probability experiment.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

2.7.7.C. Express the probability of a compound or complimentary event as a fraction, decimal, or percent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

2.7.7.D. List the possible outcomes for two or more independent events and compare the outcomes.
Vocabulary Terms Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

2.7.7.E. Find and interpret the experimental or theoretical probability of an outcome of a simple event.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

## PA.2.8.Algebra and Functions

Algebra and Functions
2.8.7.A. Use the concept of equality to demonstrate understanding of properties applied to rational numbers (e.g. identity, distributive, associative, commutative).
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Distributive Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

2.8.7.B. Evaluate and simplify algebraic expressions and solve and graph linear equations and inequalities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

2.8.7.C. Recognize, describe, extend, create, replicate, form a rule, and/or find a missing element for a variety of rational number patterns, sequences, and relationships verbally, numerically, symbolically, and graphically.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

2.8.7.D. Determine a functional rule from given data or a situation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

2.8.7.E. Use combinations of symbols and numbers to create expressions, equations, and inequalities in one variable that model problem situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.8.7.F. Interpret the results of solving equations and inequalities in one variable in the context of the situation that motivated the model.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

## PA.2.9.Geometry

Geometry
2.9.7.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.
Flip Charts Dot to Dot
Flip Charts Finding Volume
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

2.9.7.B. Predict and describe the result of a translation (slide), rotation (turn), and/or reflection (flip) of a 2-dimensional shape.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

2.9.7.C. Identify on a 2- dimensional coordinate system the location of points with rational number coordinates; plot in a two dimensional coordinate system a point represented by an ordered pair of rational numbers.
Flip Charts Shape Up
Flip Charts Slope
Vocabulary Terms Plotting Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Plotting Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Science