State Frameworks

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.

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 *x*^{2}+*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.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).

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

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.

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.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.