AT: Algebraic Thinking
IA1.AT.A: Look for and make use of structure to rewrite expressions in equivalent forms and reason about Their properties.
IA1.AT.A.1: Rewrite and interpret linear and exponential expressions to explain key properties of a relationship.
IA1.AT.B: Make sense of and solve equations, inequalities, and systems of equations or inequalities.
IA1.AT.B.2: Create and solve one-variable equations, justify the solution process, and interpret the solution(s) in context.
IA1.AT.B.3: Create and solve one-variable inequalities, justify the solution process, and interpret the solutions in context.
IA1.AT.B.4: Create linear and exponential equations in two variables, graph them, and use those graphs to represent and solve problems in context.
IA1.AT.B.5: Create, solve, and analyze systems of two linear equations in two variables in context.
IA1.AT.B.6: Create linear inequalities in two variables to represent constraints in context and graph the solution set as a half-plane within the coordinate plane.
IA1.AT.B.7: Represent and analyze systems of two linear inequalities in two variables in context.
IA1.AT.B.8: Model and solve optimization problems using systems of linear inequalities.
IA1.AT.C: Reason about functions.
IA1.AT.C.10: Identify, represent, and analyze functions in terms of their domain and range.
IA1.AT.C.11: Calculate or estimate and interpret the average rate of change over a specified interval of linear and exponential functions presented graphically, symbolically, or in a table.
IA1.AT.D: Model with functions.
IA1.AT.D.13: Analyze and model arithmetic and geometric sequences using recursive and explicit representations.
IA1.AT.D.14: Represent functions using tables and graphs, and interpret key features in context. Key features include: domain, intercepts, intervals of increase and decrease, positive and negative values, end behavior, asymptote, and points of transition between pieces.
IA1.AT.D.15: Distinguish between situations that can be modeled with linear functions and with exponential functions.
IA1.AT.D.16: Analyze how changes to a function’s input or output affect the graph and its meaning in context.
GR: Geometric Reasoning
IA1.GR.A: Reason about transformations and congruence.
IA1.GR.A.1: Apply definitions of rotations, reflections, and translations to transform figures and use these transformations to verify congruence.
IA1.GR.B: Conjecture about and verify geometric relationships.
IA1.GR.B.3: Apply triangle congruence theorems (SSS, SAS, ASA, AAS, HL) to reason logically about geometric diagrams, including verifying congruence and solving for unknown measures.
IA1.GR.B.5: Use angle relationships and slope criteria to verify properties of parallelograms.
DS: Reasoning with Data, Statistics, and Probability
IA1.DS.A: Make sense of statistical inquiry.
IA1.DS.A.1: Distinguish between correlation and causation.
IA1.DS.A.2: Understand and apply statistics as a process for making inferences about population parameters using random samples.
IA1.DS.A.3: Analyze and interpret how data are represented and used in arguments or reports.
IA1.DS.A.4: Plan statistical investigations.
IA1.DS.B: Describe, analyze, and compare data using visual and numerical representations to model Situations and draw inferences.
IA1.DS.B.5: Analyze and compare one-variable data visualizations on the real number line to draw conclusions.
IA1.DS.B.7: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
IA1.DS.B.8: Analyze and interpret the key components of linear and exponential models in the context of the data with and without technology.
Correlation last revised: 7/9/2026
