MA.PA.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.PA.1.2: Compare and order rational numbers and square roots

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

MA.PA.2: Understand the meaning of operations and how they relate to each other

MA.PA.2.2: Demonstrate the inverse relationship between square numbers and square roots, and cubes and cubed roots

 Square Roots

MA.PA.4: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.PA.4.1: Select and use appropriate units to measure the surface area and volume of solids

 Surface and Lateral Areas of Prisms and Cylinders

MA.PA.4.3: Use ratios and proportions to solve measurement problems

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios

MA.PA.4.4: Use formulas to determine the surface area and volume of selected prisms, cylinders, and pyramids

 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

MA.PA.4.5: Use the right triangle relationships (e.g., trigonometric ratios: cosine, sine, and tangent) to solve problems

 Cosine Function
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

MA.PA.5: Analyze properties of objects and relationships among the properties

MA.PA.5.1: Apply the Pythagorean theorem to solve problems involving right triangles

 Cosine Function
 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Sine Function
 Tangent Function

MA.PA.6: Use transformations and symmetry to analyze mathematical situations

MA.PA.6.1: Perform a transformation (reflection, rotation, translation) when given a figure and necessary parameters

 Absolute Value with Linear Functions
 Circles
 Dilations
 Holiday Snowflake Designer
 Reflections
 Rotations, Reflections, and Translations
 Similar Figures
 Translations

MA.PA.6.2: Describe the size, position, and orientation of shapes under transformations and compositions of transformations

 Dilations
 Reflections
 Rotations, Reflections, and Translations
 Translations

MA.PA.7: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

MA.PA.7.1: Use two-dimensional representations of pyramids, prisms, and cylinders to solve problems involving these figures

 Surface and Lateral Areas of Prisms and Cylinders

MA.PA.8: Select and use different representational systems, including coordinate geometry

MA.PA.8.1: Use coordinate geometry to represent transformations in the coordinate plane

 Dilations

MA.PA.9: Understand various types of patterns and functional relationships

MA.PA.9.1: Represent a variety of patterns (including recursive patterns) with tables, graphs (including graphing technology when available), words, and when possible, symbolic rules

 Arithmetic Sequences
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Geometric Sequences
 Introduction to Functions
 Points, Lines, and Equations

MA.PA.9.2: Use linear relationships with two variables to solve problems

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Compound Interest
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Slope-Intercept Form of a Line

MA.PA.9.3: Identify functions as linear or nonlinear and contrast their properties from tables, graphs (including graphing technology when available), or equations

 Absolute Value with Linear Functions
 Linear Functions

MA.PA.10: Use symbolic forms to represent, model, and analyze mathematical situations

MA.PA.10.1: Translate among tables, graphs (including graphing technology when available), and equations involving linear relationships

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Geometric Sequences
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

MA.PA.10.2: Solve linear equations and inequalities with two variables using algebraic methods, manipulatives, or models

 Absolute Value with Linear Functions
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Point-Slope Form of a Line
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Linear Inequalities in One Variable
 Solving Two-Step Equations
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)

MA.PA.10.3: Use tables and graphs to represent and compare linear relationships

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Compound Interest
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Standard Form of a Line

MA.PA.10.4: Use the slope of a line to describe a constant rate of change

 Cat and Mouse (Modeling with Linear Systems)
 Compound Interest
 Direct and Inverse Variation

MA.PA.11: Pose questions and collect, organize, and represent data to answer those questions

MA.PA.11.1: Design a study that compares two samples, collect data, and select the appropriate representation (double bar graph, back-to-back stem and leaf plot, parallel box and whisker plots, scatter plot) to compare the sets of data

 Box-and-Whisker Plots
 Correlation
 Describing Data Using Statistics
 Least-Squares Best Fit Lines
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

MA.PA.11.2: Judge the validity of data based on the data collection method

 Describing Data Using Statistics
 Polling: City
 Polling: Neighborhood
 Populations and Samples

MA.PA.12: Interpret data using methods of exploratory data analysis

MA.PA.12.2: Analyze different representations of the same data to describe how representations can be used to skew a person's interpretation of the data

 Box-and-Whisker Plots
 Correlation
 Stem-and-Leaf Plots

MA.PA.14: Understand and apply basic notions of chance and probability

MA.PA.14.2: Calculate probabilities for simple events under different relationships (e.g., inclusion, disjoint, complementary, independent, dependent, with replacement, without replacement)

 Independent and Dependent Events
 Theoretical and Experimental Probability

MA.PA.14.3: Use the Fundamental Counting Principle to calculate combinations and permutations

 Binomial Probabilities
 Permutations and Combinations

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.