Alignments

Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions.
Contracts, Defining Linear Functions, Functions Can Be Linear, The Vertical Line Test

Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable.
Contracts, Defining Linear Functions, Functions Can Be Linear, The Vertical Line Test

Use linear functions to represent and explain real-world and mathematical situations.
Solving Word Problems with the Design Recipe, 🎮 Functions for Character Animation, Functions Make Life Easier!

Identify a function as linear if it can be expressed in the form y = mx + b or if its graph is a straight line.
Solving Word Problems with the Design Recipe

Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols, and graphs; solve problems involving linear functions and interpret results in the original context.
Solving Word Problems with the Design Recipe, 🎮 Functions for Character Animation

Represent linear functions with tables, verbal descriptions, symbols, and graphs; translate from one representation to another.
Defining Linear Functions, Functions Can Be Linear, Solving Word Problems with the Design Recipe, 🎮 Functions for Character Animation

Identify, describe, and analyze linear relationships between two variables.
Choosing Your Dataset, Defining Linear Functions, Functions Can Be Linear, Grouped Samples, Histograms, Probability, Inference, and Sample Size, Visualizing the "Shape" of Data

Identify graphical properties of linear functions including slope and intercepts. Know that the slope equals the rate of change, and that the yintercept is zero when the function represents a proportional relationship.
Defining Linear Functions

Predict the effect on the graph of a linear function when the slope or y-intercept changes. Use appropriate tools to examine these effects.
Defining Linear Functions, Functions Can Be Linear

Generate equivalent numerical and algebraic expressions and use algebraic properties to evaluate expressions.
Order of Operations

Use substitution to simplify and evaluate algebraic expressions.
Defining Values, Function Composition

Represent real-world and mathematical problems using equations and inequalities involving linear expressions. Solve and graph equations and inequalities symbolically and graphically. Interpret solutions in the original context.
Transforming and Composing Images

Represent real-world situations using equations and inequalities involving one variable.
Simple Inequalities, Compound Inequalities: Solutions & Non-Solutions, Sam the Butterfly - Applying Inequalities

Solve problems involving right triangles using the Pythagorean Theorem.
Distance in Video Games

Informally justify the Pythagorean Theorem using measurements, diagrams, or dynamic software and use the Pythagorean Theorem to solve problems in two and three dimensions involving right triangles.
Distance in Video Games

Use the Pythagorean Theorem to find the distance between any two points in a coordinate plane.
Distance in Video Games, Collision Detection - Distance and Inequality

Calculate surface area and volume of three-dimensional figures.
Surface Area of a Rectangular Prism

Calculate the surface area of a rectangular prism using decomposition or nets. Use appropriate units of measure, such as square centimeters.
Surface Area of a Rectangular Prism

Calculate the surface area of a cylinder, in terms of pi and using approximations for pi, using decomposition or nets. Use appropriate units of measure, such as square centimeters.
Surface Area of a Rectangular Prism

Display and interpret data in a variety of ways, including using scatterplots and approximate lines of best fit. Use line of best fit and average rate of change to make predictions and draw conclusions about data.
Choosing Your Dataset

Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Know how to create data displays using a spreadsheet and use a calculator to examine this impact.
Choosing Your Dataset, Grouped Samples, Histograms, Visualizing the "Shape" of Data

Explain how outliers affect measures of central tendency.
Measures of Center

Collect, display and interpret data using scatterplots. Use the shape of the scatterplot to informally estimate a line of best fit, make statements about average rate of change, and make predictions about values not in the original data set. Use appropriate titles, labels and units.
Correlations, Linear Regression, Scatter Plots

Determine how samples are chosen (random, limited, biased) to draw and support conclusions about generalizing a sample to a population.
Probability, Inference, and Sample Size

Develop a deep and flexible conceptual understanding.
Transforming and Composing Images

Develop accurate and appropriate procedural fluency.
Order of Operations

Develop strategies for problem solving.
🎮 Functions for Character Animation

Develop mathematical reasoning.
Transforming and Composing Images

Develop a productive mathematical disposition.
Functions Make Life Easier!

Develop the ability to make conjectures, model, and generalize.
Functions Make Life Easier!

Develop the ability to communicate mathematically.
Solving Word Problems with the Design Recipe, Linear Regression

Construct logical arguments to prove triangle congruence (SSS, SAS, ASA, AAS and HL) and triangle similarity (AA, SSS, SAS).
Contracts

Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints, and slopes of line segments.
Distance in Video Games, Collision Detection - Distance and Inequality

Solve real-world and mathematical problems using the surface area and volume of prisms, cylinders, pyramids, cones, spheres, and composites of these figures. Use nets, measuring devices, or formulas as appropriate.
Surface Area of a Rectangular Prism

Apply the distance formula and the Pythagorean Theorem and its converse to solve real-world and mathematical problems, as approximate and exact values, using algebraic and logical reasoning (include Pythagorean Triples).
Distance in Video Games, Collision Detection - Distance and Inequality

Use knowledge of solving equations with rational values to represent and solve mathematical and real-world problems (e.g., angle measures, geometric formulas, science, or statistics) and interpret the solutions in the original context.
Functions Make Life Easier!

Represent and solve real-world and mathematical problems using linear inequalities, compound inequalities and systems of linear inequalities; interpret solutions in the original context.
Sam the Butterfly - Applying Inequalities

Represent relationships in various contexts with compound and absolute value inequalities and solve the resulting inequalities by graphing and interpreting the solutions on a number line.
Compound Inequalities: Solutions & Non-Solutions, Sam the Butterfly - Applying Inequalities

Generate equivalent algebraic expressions and use algebraic properties to evaluate expressions and arithmetic and geometric sequences.
Order of Operations

Solve equations involving several variables for one variable in terms of the others.
Problem Decomposition

Analyze mathematical change involving linear equations in real-world and mathematical problems.
Defining Linear Functions

Calculate and interpret slope and the x- and y-intercepts of a line using a graph, an equation, two points, or a set of data points to solve realworld and mathematical problems.
Defining Linear Functions

Identify the dependent and independent variables as well as the domain and range given a function, equation, or graph. Identify restrictions on the domain and range in real-world contexts.
Contracts, Solving Word Problems with the Design Recipe, Functions: Contracts, Examples & Definitions, Functions Make Life Easier!, The Vertical Line Test, Sam the Butterfly - Applying Inequalities

Write linear functions, using function notation, to model real-world and mathematical situations.
Contracts, Function Composition, Functions Make Life Easier!

Given a graph modeling a real-world situation, read and interpret the linear piecewise function (excluding step functions).
Advanced Displays, Contracts

Distinguish between linear and nonlinear (including exponential) functions arising from real-world and mathematical situations that are represented in tables, graphs, and equations. Understand that linear functions grow by equal intervals and that exponential functions grow by equal factors over equal intervals.
Defining Linear Functions, Functions Can Be Linear

Represent functions in multiple ways and use the representation to interpret real-world and mathematical problems.
Defining Values, Function Composition, Defining Linear Functions

Identify and generate equivalent representations of linear equations, graphs, tables, and real-world situations.
Defining Values, Defining Linear Functions

Use function notation; evaluate a function, including nonlinear, at a given point in its domain algebraically and graphically. Interpret the results in terms of real-world and mathematical problems.
Function Composition

Add, subtract, and multiply functions using function notation.
Function Composition

Describe a data set using data displays, describe and compare data sets using summary statistics, including measures of central tendency, location, and spread. Know how to use calculators, spreadsheets, or other appropriate technology to display data and calculate summary statistics.
Choosing Your Dataset, Grouped Samples, Histograms, Visualizing the "Shape" of Data

Collect data and use scatterplots to analyze patterns and describe linear relationships between two variables. Using graphing technology, determine regression lines and correlation coefficients; use regression lines to make predictions and correlation coefficients to assess the reliability of those predictions.
Collecting Data

Select and apply counting procedures, such as the multiplication and addition principles and tree diagrams, to determine the size of a sample space (the number of possible outcomes) and to calculate probabilities.
Composing Table Operations, Table Functions: Bringing it all Together

Describe the concepts of intersections, unions, and complements using Venn diagrams to evaluate probabilities. Understand the relationships between these concepts and the words AND, OR, and NOT.
Compound Inequalities: Solutions & Non-Solutions

Represent real-world or mathematical problems using quadratic equations and solve using various methods (including graphing calculator or other appropriate technology), factoring, completing the square, and the quadratic formula. Find non-real roots when they exist.
Exploring Quadratic Models

Represent real-world or mathematical problems using exponential equations, such as compound interest, depreciation, and population growth, and solve these equations graphically (including graphing calculator or other appropriate technology) or algebraically
Exploring Exponential Models

Solve common and natural logarithmic equations using the properties of logarithms.
Exploring Logarithmic Models

Use tools to solve systems of equations containing one linear equation and one quadratic equation. Graphing calculators or other appropriate technology may be used.
Exploring Linear Models, Exploring Quadratic Models

Solve systems of linear inequalities in two variables, with a maximum of three inequalities; graph and interpret the solutions on a coordinate plane. Graphing calculators or other appropriate technology may be used.
Simple Inequalities, Compound Inequalities: Solutions & Non-Solutions

Recognize that a quadratic function has different equivalent representations [𝑓(𝑥) = 𝑎𝑥2 + 𝑏𝑥 + 𝑐, 𝑓(𝑥) = 𝑎(𝑥 − h)2 + 𝑘, and 𝑓(𝑥) = 𝑎(𝑥 − 𝑝)(𝑥 − 𝑞)]. Identify and use the mathematical model that is most appropriate to solve problems.
Exploring Quadratic Models

Identify the parent forms of exponential, radical (square root and cube root only), quadratic, and logarithmic functions. Predict the effects of transformations [𝑓(𝑥 + 𝑐), 𝑓(𝑥) + 𝑐, 𝑓(𝑐𝑥), and 𝑐𝑓(𝑥)] algebraically and graphically.
Exploring Exponential Models, Exploring Logarithmic Models, Exploring Quadratic Models

Graph a quadratic function. Identify the x- and y-intercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include a graphing calculator or appropriate technology.
Exploring Quadratic Models

Graph exponential and logarithmic functions. Identify asymptotes and x- and y-intercepts using various methods and tools that may include graphing calculators or other appropriate technology. Recognize exponential decay and growth graphically and algebraically.
Exploring Exponential Models, Exploring Logarithmic Models

Add, subtract, multiply, and divide functions using function notation and recognize domain restrictions.
Exploring Periodic Models

Find and graph the inverse of a function, if it exists, in mathematical models. Know that the domain of a function f is the range of the inverse function 𝑓 to the -1 and the range of the function 𝑓 is the domain of the inverse function 𝑓 to the -1
Exploring Logarithmic Models

Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.
Exploring Logarithmic Models

Use the mean and standard deviation of a data set to fit it to a normal distribution (bell-shaped curve).
Standard Deviation

Collect data and use scatterplots to analyze patterns and describe linear, exponential or quadratic relationships between two variables. Using graphing calculators or other appropriate technology, determine regression equation and correlation coefficients; use regression equations to make predictions and correlation coefficients to assess the reliability of those predictions.
Correlations, Exploring Exponential Models, Exploring Linear Models, Exploring Quadratic Models, Scatter Plots

Make predictions based upon the regression equation (linear, exponential, or quadratic), and use the correlation coefficient to assess the reliability of those predictions using graphing technology.
Exploring Exponential Models, Exploring Linear Models, Exploring Quadratic Models, Linear Regression

Evaluate reports based on data published in the media by identifying the source of the data, the design of the study, and the way the data are analyzed and displayed. Given spreadsheets, tables, or graphs, recognize and analyze distortions in data displays. Show how graphs and data can be distorted to support different points of view.
Ethics, Privacy, and Bias, Threats to Validity

Identify and explain misleading conclusions and graphical representations of data sets.
Ethics, Privacy, and Bias, Threats to Validity

Differentiate between correlation and causation when describing the relationship between two variables.
Correlations, Threats to Validity

Collect and organize data in various visual formats.
Collecting Data

Organize and present collected data visually to highlight comparisons.
Collecting Data

Organize and present collected data to highlight comparisons and support a claim.
Collecting Data

With guidance, utilize data to make predictions and discuss whether there is adequate data to make reliable predictions.
Linear Regression, Threats to Validity

Determine how the accuracy of conclusions are influenced by the amount of data collected.
Linear Regression

Use data to highlight or propose cause and effect relationships, predict outcomes, or communicate an idea.
Introduction to Data Science

Compare multiple algorithms for the same task.
Transforming and Composing Images

Compare and refine multiple algorithms for the same task.
Composing Table Operations, Transforming and Composing Images

Compare and refine multiple algorithms for the same task and determine which is the most efficient.
Function Composition, Transforming and Composing Images

Create programs that use variables to store and modify grade level appropriate data.
Defining Values

Create programs that use variables to store and modify grade level appropriate data.
Defining Values

Create programs that use variables to store and modify grade level appropriate data.
Defining Values

Create programs using a programming language that utilize sequencing, repetition, conditionals, and variables to solve a problem or express ideas both independently and collaboratively.
Composing Table Operations, Grouped Samples

Create programs using a programming language that utilize sequencing, repetition, conditionals and variables using math operations manipulate values to solve a problem or express ideas both independently and collaboratively.
Transforming and Composing Images

Decompose the steps needed to solve a problem into a precise sequence of instructions.
Transforming and Composing Images

Decompose large problems into smaller, manageable subproblems to facilitate the program development process.
Composing Table Operations, Problem Decomposition

Decompose large problems into smaller, manageable subproblems and then into a precise sequence of instructions.
Composing Table Operations, Problem Decomposition

With grade appropriate complexity, modify, remix, or incorporate portions of an existing program into one's own work, to develop something new or add more advanced features.
🎮 Functions for Character Animation, 🎮 Making Game Images, 🎮 Player Animation

With grade appropriate complexity, modify, remix, or incorporate portions of an existing program into one's own work, to develop something new or add more advanced features.
🎮 Functions for Character Animation, 🎮 Making Game Images, 🎮 Player Animation

With grade appropriate complexity, modify, remix, or incorporate portions of an existing program into one's own work, to develop something new or add more advanced features.
🎮 Functions for Character Animation, 🎮 Making Game Images, 🎮 Player Animation

Use an iterative process to plan the development of a program while solving simple problems.
Table Functions: Bringing it all Together, Solving Word Problems with the Design Recipe, Functions Make Life Easier!

Observe intellectual property rights and give appropriate credit when creating or remixing programs.
🎮 Making Game Images

Observe intellectual property rights and give appropriate credit when creating or remixing programs.
🎮 Making Game Images

Analyze and debug a program that includes sequencing, repetition and variables in a programming language.
Debugging, Transforming and Composing Images

Analyze, create, and debug a program that includes sequencing, repetition, conditionals and variables in a programming language.
Composing Table Operations, Debugging

Analyze, create, and debug a program that includes sequencing, repetition, conditionals and variables in a programming language.
Composing Table Operations, Debugging

Communicate and explain your program development using comments, presentations and demonstrations.
Solving Word Problems with the Design Recipe

Communicate and explain your program development using comments, presentations and demonstrations.
Solving Word Problems with the Design Recipe

Communicate and explain your program development using comments, presentations and demonstrations.
Solving Word Problems with the Design Recipe

Describe, classify and construct triangles, including equilateral, right, scalene, and isosceles triangles. Recognize triangles in various contexts.
Contracts

Plot integer- and rational-valued (limited to halves and fourths) ordered-pairs as coordinates in all four quadrants and recognize the reflective relationships among coordinates that differ only by their signs.
Coordinates and Game Design, Transforming and Composing Images

Use and evaluate variables in expressions, equations, and inequalities that arise from various contexts, including determining when or if, for a given value of the variable, an equation or inequality involving a variable is true or false.
Simple Data Types

Represent real-world or mathematical situations using expressions, equations and inequalities involving variables and rational numbers.
Simple Inequalities, Compound Inequalities: Solutions & Non-Solutions

Develop and use the fact that the sum of the interior angles of a triangle is 180° to determine missing angle measures in a triangle.
Contracts

Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal.
Simple Data Types

Compare and order rational numbers expressed in various forms using the symbols <, >, and =.
Simple Data Types

Recognize and generate equivalent representations of rational numbers, including equivalent fractions.
Simple Data Types

Represent real-world or mathematical situations using equations and inequalities involving variables and rational numbers.
Defining Values, Simple Inequalities, Compound Inequalities: Solutions & Non-Solutions, Sam the Butterfly - Applying Inequalities

Apply understanding of order of operations and grouping symbols when using calculators and other technologies
Order of Operations

Using a variety of tools and strategies, develop the concept that surface area of a rectangular prism with rational-valued edge lengths can be found by wrapping the figure with samesized square units without gaps or overlap. Use appropriate measurements such as cm^2
Surface Area of a Rectangular Prism

Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors resulting from dilations.
🎮 Making Game Images, Transforming and Composing Images

Apply proportions, ratios, and scale factors to solve problems involving scale drawings and determine side lengths and areas of similar triangles and rectangles.
🎮 Making Game Images, Transforming and Composing Images

Identify and fix increasingly complex software and hardware problems with computing devices and their components.
Problem Decomposition

Systematically identify, fix, and document increasingly complex software and hardware problems with computing devices and their components.
Problem Decomposition

Identify how the same data can be represented in multiple ways.
Bar and Pie Charts

Create multiple representations of data.
Bar and Pie Charts

Analyze multiple methods of representing data and choose the most appropriate method for representing data.
Bar and Pie Charts, Box Plots, Choosing Your Dataset, Grouped Samples, Histograms, Standard Deviation, Visualizing the "Shape" of Data

Collect data using computational tools and transform the data to make it more useful.
Box Plots, Standard Deviation

Collect data using computational tools and transform the data to make it more useful and reliable.
Box Plots, Standard Deviation

Develop, implement, and refine a process that utilizes computational tools to collect and transform data to make it more useful and reliable.
Introduction to Data Science, Grouped Samples

Create and analyze box and whisker plots observing how each segment contains one quarter of the data.
Bar and Pie Charts, Box Plots, Choosing Your Dataset, Grouped Samples, Histograms, Standard Deviation, Visualizing the "Shape" of Data

Use reasoning with proportions to display and interpret data in circle graphs (pie charts) and histograms. Choose the appropriate data display and know how to create the display using a spreadsheet or other graphing technology.
Bar and Pie Charts, Box Plots, Choosing Your Dataset, Grouped Samples, Histograms, Standard Deviation, Visualizing the "Shape" of Data

Use an existing algorithm in natural language or pseudocode to solve complex problems.
Solving Word Problems with the Design Recipe

Select and modify an existing algorithm in natural language or pseudocode to solve complex problems.
Solving Word Problems with the Design Recipe, Simple Data Types, Surface Area of a Rectangular Prism

Design algorithms in natural language, flow and control diagrams, comments within code, and/or pseudocode to solve complex problems.
Solving Word Problems with the Design Recipe, 🎮 Functions for Character Animation, 🎮 Making Game Images, Transforming and Composing Images

Develop programs that utilize combinations of repetition, conditionals, and the manipulation of variables representing different data types.
Sam the Butterfly - Applying Inequalities

Develop programs that utilize combinations of nested repetition, compound conditionals, procedures without parameters, and the manipulation of variables representing different data types.
Simple Data Types

Decompose problems into parts to facilitate the design, implementation, and review of programs.
Collision Detection - Distance and Inequality, Sam the Butterfly - Applying Inequalities, Problem Decomposition, Transforming and Composing Images

Decompose problems into parts to facilitate the design, implementation, and review of increasingly complex programs.
Composing Table Operations, Collision Detection - Distance and Inequality, Sam the Butterfly - Applying Inequalities, Problem Decomposition

Decompose problems and subproblems into parts to facilitate the design, implementation, and review of complex programs.
Composing Table Operations, Collision Detection - Distance and Inequality, Sam the Butterfly - Applying Inequalities, Problem Decomposition

Seek and incorporate feedback from team members to refine a solution to a problem.
🎮 Functions for Character Animation, Collision Detection - Distance and Inequality, 🎮 Making Game Images, 🎮 Player Animation, Transforming and Composing Images

Seek and incorporate feedback from team members and users to refine a solution to a problem.
🎮 Functions for Character Animation, Collision Detection - Distance and Inequality, 🎮 Making Game Images, 🎮 Player Animation

Incorporate existing code, media, and libraries into original programs and give attribution.
🎮 Making Game Images

Incorporate existing code, media, and libraries into original programs of increasing complexity and give attribution.
🎮 Making Game Images

Incorporate existing code, media, and libraries into original programs of increasing complexity and give attribution.
Functions Make Life Easier!

Break down tasks and follow an individual timeline when developing a computational artifact.
Probability, Inference, and Sample Size

Distribute tasks and maintain a project timeline when collaboratively developing computational artifacts.
Probability, Inference, and Sample Size

Explain how effective communication between participants is required for successful collaboration when developing computational artifacts.
Solving Word Problems with the Design Recipe

Document text-based programs in order to make them easier to follow, test, and debug.
Solving Word Problems with the Design Recipe

Document text-based programs of increasing complexity in order to make them easier to follow, test, and debug.
Solving Word Problems with the Design Recipe

Document text-based programs of increasing complexity in order to make them easier to follow, test, and debug.
Solving Word Problems with the Design Recipe

Explain how computing impacts people's everyday activities.
Computing Needs All Voices

Communicate and publish key ideas and details individually or collaboratively in a way that informs, persuades, and/or entertains using a variety of digital tools and media-rich resources. Describe and use safe, appropriate, and responsible practices (netiquette) when participating in online communities (e.g., discussion groups, blogs, social networking sites).
Choosing Your Dataset, Threats to Validity

Explain how abstractions hide the underlying implementation details of computing systems embedded in everyday objects.
Coordinates and Game Design

Develop and apply criteria for systematic discovery of errors and systematic strategies for correction of errors in computing systems.
Debugging

Use tools and techniques to locate, collect, and create visualizations of small- and largescale data sets (e.g., paper surveys and online data sets).
Choosing Your Dataset

Use data analysis tools and techniques to identify patterns from complex real-world data.
Linear Regression

Generate data sets that use a variety of data collection tools and analysis techniques to support a claim and/or communicate information.
Box Plots, Standard Deviation

Show the relationships between collected data elements using computational models.
Correlations, Linear Regression, Scatter Plots

Create a prototype that uses algorithms (e.g., searching, sorting, finding shortest distance) to provide a possible solution for a real-world problem.
Grouped Samples, Sam the Butterfly - Applying Inequalities, Surface Area of a Rectangular Prism

Break down a solution into procedures using systematic analysis and design.
Advanced Displays, Composing Table Operations, Table Functions: Bringing it all Together, Piecewise Functions and Conditionals, Problem Decomposition

Create computational artifacts by systematically organizing, manipulating and/or processing data.
Advanced Displays, Composing Table Operations, Table Functions: Bringing it all Together, Piecewise Functions and Conditionals

Create programming solutions by reusing existing code (e.g., libraries, Application Programming Interface (APIs), code repositories).
Sam the Butterfly - Applying Inequalities

Develop programs for multiple computing platforms.
Functions Make Life Easier!

Evaluate and refine computational artifacts to make them more user-friendly, efficient and/or accessible.
Histograms, Visualizing the "Shape" of Data

Develop and use a series of test cases to verify that a program performs according to its design specifications.
Solving Word Problems with the Design Recipe

Modify an existing program to add additional functionality and discuss intended and unintended implications (e.g., breaking other functionality).
🎮 Player Animation

Evaluate the ways computing impacts personal, ethical, social, economic, and cultural practices.
Ethics, Privacy, and Bias

Evaluate the beneficial and harmful effects that computational artifacts and innovations have on society.
Ethics, Privacy, and Bias

Test and refine computational artifacts to reduce bias and equity deficits.
Checking Your Work, Choosing Your Dataset, Grouped Samples, Probability, Inference, and Sample Size, Threats to Validity

Debate laws and regulations that impact the development and use of software.
Ethics, Privacy, and Bias

Explain the privacy concerns related to the large-scale collection and analysis of information about individuals (e.g., how businesses, social media, and the government collects and uses data) that may not be evident to users.
Ethics, Privacy, and Bias

Evaluate the social and economic consequences of how law and ethics interact with digital aspects of privacy, data, property, information, and identity.
Ethics, Privacy, and Bias

Use counting techniques including permutations and combinations to solve mathematical and real-world problems, including determining probabilities of compound events.
Combinations, Permutations