PA.1: Apply concepts and perform basic operations using real numbers in real-world contexts.

PA.1.a: Define, classify, and order rational and irrational numbers and their subsets.

 Comparing and Ordering Decimals
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

PA.1.b: Formulate and solve standard and real-life problems involving addition, subtraction, multiplication, and division of rational numbers.

 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

PA.1.d: Simplify and evaluate expressions using order of operations and use real number properties to justify solutions.

 Order of Operations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Equations on the Number Line

PA.1.e: Explain the rules of exponents related to multiplication and division of terms with exponents.

 Dividing Exponential Expressions
 Multiplying Exponential Expressions

PA.1.f: Recognize and appropriately use exponential and scientific notation.

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

PA.1.g: Explain and use the inverse relationship between square roots and squares.

 Square Roots

PA.2: Apply properties to simplify algebraic expressions, solve linear equations and inequalities, and apply principles of graphing.

PA.2.a: Simplify and evaluate numerical and algebraic expressions.

 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Order of Operations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line

PA.2.b: Apply properties of real numbers with an emphasis on the distributive properties of multiplication over addition and subtraction.

 Equivalent Algebraic Expressions II
 Square Roots

PA.2.c: Solve and check equations and inequalities using one variable.

 Compound Inequalities
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable

PA.2.d: Model inequalities (and their solutions) on a number line.

 Absolute Value Equations and Inequalities
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Solving Linear Inequalities in One Variable

PA.2.e: Graph linear equations and non-linear equations (y = x²) using multiple methods including t-tables and slope-intercept.

 Absolute Value with Linear Functions
 Linear Functions
 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

PA.2.f: Given a linear graph, identify its slope as positive, negative, undefined, or zero, and interpret slope as rate of change.

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope-Intercept Form of a Line

PA.2.g: Determine slope, x-intercept, and y-intercept from a graph and/or equation in slope-intercept or standard form.

 Cat and Mouse (Modeling with Linear Systems)
 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Roots of a Quadratic
 Slope-Intercept Form of a Line
 Standard Form of a Line

PA.2.h: Add, subtract, and multiply monomials and binomials.

 Addition of Polynomials
 Modeling the Factorization of x2+bx+c

PA.2.i: Predict characteristics of a graph given an equation or t-table.

 Function Machines 1 (Functions and Tables)
 Introduction to Functions
 Points, Lines, and Equations

PA.3: Identify and apply geometric principles to polygons, angles, and two- and three-dimensional figures.

PA.3.a: Locate and identify angles formed by parallel lines cut by a transversal(s) (e.g., adjacent, vertical, complementary, supplementary, corresponding, alternate interior, and alternate exterior).

 Triangle Angle Sum

PA.3.d: Solve real-world and non-routine problems involving congruent and similar figures.

 Circles
 Similar Figures

PA.4: Understand measurable attributes of objects and apply various formulas in problem solving situations.

PA.4.a: Solve real-world application problems that include length, area, perimeter, and circumference using standard measurements.

 Fido's Flower Bed (Perimeter and Area)
 Measuring Trees

PA.4.b: Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

 Estimating Population Size

PA.4.c: Use formulas and/or appropriate measuring tools to find length and angle measures (to appropriate levels of precision), perimeter, area, volume, and surface area of polygons, circles, spheres, cones, pyramids, and composite or irregular figures.

 Area of Parallelograms
 Measuring Trees
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

PA.5: Interpret, organize, and make predictions about a variety of data using concepts of probability.

PA.5.a: Use a given mean, mode, median, and range to summarize and compare data sets including investigation of the different effects that change in data values have on these measures.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

PA.5.b: Select the appropriate measures of central tendency for a particular purpose.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

PA.5.c: Make and list conjectures by calculating probability for experimental or simulated contexts.

 Independent and Dependent Events
 Spin the Big Wheel! (Probability)

PA.5.d: Construct and interpret scatter plots to generalize trends from given data sets.

 Correlation
 Graphing Skills
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.