Gizmos for Oregon - Mathematics: High School (Mathematics Standards adopted 2021)

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

HS.AEE: : Algebraic Reasoning: Expressions and Equations

HS.AEE.A: : Use algebraic reasoning to rewrite expressions in equivalent forms.

HS.AEE.A.1: : Interpret an expression which models a quantity by viewing one or more of its parts as a single entity. Reason about how changes in parts of the expression impact the whole, and vice versa.

HS.AEE.A.2: : Create and recognize an equivalent form of an expression to understand the quantity represented in an authentic context.

HS.AEE.A.3: : Rearrange formulas and equations to highlight a specific quantity.

HS.AEE.B: : Use algebraic reasoning to find solutions to an equation, inequality, and systems of equations or inequalities.

HS.AEE.B.4: : Define variables and create equations with two or more variables to represent relationships between quantities in order to solve problems in authentic contexts.

HS.AEE.B.5: : Define variables and create inequalities with one or more variables and use them to solve problems in authentic contexts.

HS.AEE.B.6: : Solve systems of linear equations and systems of linear inequalities in authentic contexts through reasoning, algebraic means, or strategically using technology.

HS.AEE.C: : Analyze the structure of an equation or inequality to determine an efficient strategy to find and justify a solution.

HS.AEE.C.7: : Represent constraints by equations or inequalities, and by systems of equations and/or inequalities; interpret solutions as viable or nonviable options in authentic contexts.

HS.AEE.C.8: : Construct a viable argument to justify a method for solving equations or inequalities.

HS.AEE.D: : Make predictions in different applications using expressions, equations, and inequalities to analyze authentic contexts.

HS.AEE.D.9: : Understand that the solution to an equation in two variables is a set of points in the coordinate plane that form a curve, which could be a line.

HS.AEE.D.10: : Recognize and explain why the point(s) of intersection of the graphs of f(x) and g(x) are solutions to the equation f(x) = g(x). Interpret the meaning of the coordinates of these points in authentic contexts.

HS.AEE.D.11: : Graph and explain why the points in a half plane are solutions to a linear inequality and the solutions to a system of inequalities are the points in the intersection of corresponding half planes. Interpret the meaning of the coordinates of these points in authentic contexts.

HS.AFN: : Algebraic Reasoning: Functions

HS.AFN.A: : Describe functions by using both symbolic and graphical representations.

HS.AFN.A.1: : Understand a function as a rule that assigns a unique output for every input and that functions model situations where one quantity determines another.

HS.AFN.A.2: : Use function notation and interpret statements that use function notation in terms of the context and the relationship it describes.

HS.AFN.A.3: : Calculate and interpret the average rate of change of a function over a specified interval.

HS.AFN.B: : Compare and relate functions using common attributes.

HS.AFN.B.5: : Relate the domain of a function to its graph and to its context.

HS.AFN.C: : Represent functions graphically and interpret key features in terms of the equivalent symbolic representation.

HS.AFN.C.6: : Interpret key features of functions, from multiple representations, and conversely predict features of functions from knowledge of context.

HS.AFN.C.7: : Graph functions using technology to show key features.

HS.AFN.D: : Model a wide variety of authentic situations using functions through the process of making and changing assumptions, assigning variables, and finding solutions to contextual problems.

HS.AFN.D.8: : Model situations involving arithmetic patterns. Use a variety of representations such as pictures, graphs, or an explicit formula to describe the pattern.

HS.AFN.D.9: : Identify and interpret the effect on the graph of a function when the equation has been transformed.

HS.AFN.D.10: : Explain why a situation can be modeled with a linear function, an exponential function, or neither. In a given model, explain the meaning of coefficients and features of functions used, such as slope for a linear model.

HS.NQ: : Numeric Reasoning: Number and Quantity

HS.NQ.A: : Understand and apply the real number system.

HS.NQ.A.2: : Compare real numbers presented through different representations, including both rational and irrational numbers. Apply comparisons in authentic contexts.

HS.NQ.B: : Attend to units of measurement needed to solve problems through quantitative reasoning and mathematical modeling.

HS.NQ.B.3: : Use reasoning to choose and interpret measurement units consistently in formulas, graphs, and data displays, as a way to understand problems and to guide the solution of multi-step problems.

HS.NQ.B.5: : Use reasoning to choose a level of accuracy appropriate to limitations on measurement when reporting quantities in modeling situations.

HS.GM: : Geometric Reasoning and Measurement

HS.GM.A: : Apply geometric transformations to figures through analysis of graphs and understanding of functions.

HS.GM.A.1: : Apply definitions of rotations, reflections, and translations to transform a figure and map between two congruent figures in authentic contexts.

HS.GM.A.2: : Verify experimentally the properties of a dilation given a center and a scale factor. Solve problems in authentic contexts involving similar triangles or dilations.

HS.GM.A.4: : Use definitions of transformations and symmetry relationships to justify the solutions of problems in authentic contexts.

HS.GM.B: : Construct and communicate geometric arguments through use of proofs, logical reasoning, and geometric technology.

HS.GM.B.5: : Apply and justify triangle congruence and similarity theorems in authentic contexts.

HS.GM.B.6: : Justify theorems of line relationships, angles, triangles, and parallelograms; and use them to solve problems in authentic contexts.

HS.GM.B.7: : Perform geometric constructions with a variety of tools and methods.

HS.GM.C: : Solve problems and interpret solutions of area and volume of shapes by applying concepts of congruence, similarity, symmetry in authentic contexts.

HS.GM.C.8: : Solve authentic modeling problems using area formulas for triangles, parallelograms, trapezoids, regular polygons, and circles.

HS.GM.C.9: : Use volume and surface area formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems and apply to authentic contexts.

HS.GM.D: : Apply concepts of right triangle trigonometry in authentic contexts to solve problems and interpret solutions.

HS.GM.D.12: : Apply sine, cosine, and tangent ratios, and the Pythagorean Theorem, to solve problems in authentic contexts.

HS.GM.D.13: : Apply the Pythagorean Theorem in authentic contexts, and develop the standard form for the equation of a circle.

HS.GM.D.14: : Use the coordinate plane to determine parallel and perpendicular relationships, and the distance between points.

HS.DR: : Data Reasoning and Probability

HS.DR.A: : Formulate Statistical Investigative Questions.

HS.DR.A.1: : Formulate multivariable statistical investigative questions and determine how data from samples can be collected and analyzed to provide an answer.

HS.DR.A.2: : Formulate summative, comparative, and associative statistical investigative questions for surveys, observational studies, and experiments using primary or secondary data.

HS.DR.A.3: : Formulate inferential statistical investigative questions regarding causality and prediction from correlation.

HS.DR.B: : Collect and Consider Data.

HS.DR.B.6: : Distinguish and choose between surveys, observational studies, and experiments to design an appropriate data collection that answers an investigative question of interest.

HS.DR.C: : Analyze, summarize, and describe data.

HS.DR.C.8: : Identify appropriate ways to summarize and then represent the distribution of univariate and bivariate data multiple ways with graphs and/or tables. Use technology to present data that supports interpretation of tabular and graphical representations.

HS.DR.C.9: : Use statistics appropriate to the shape of the data distribution to compare the center and spread of two or more different data sets.

HS.DR.C.10: : Use data to compare two groups, describe sample variability, and decide if differences between parameters are significant based on the statistics.

HS.DR.D: : Interpret data and answer investigative questions.

HS.DR.D.11: : Use statistical evidence from analyses to answer statistical investigative questions, and communicate the findings in a variety of formats (verbal, written, visual) to support informed data-based decisions.

HS.DR.D.12: : Articulate what it means for an outcome or an estimate of a population characteristic to be plausible or not plausible compared to chance variation.

HS.DR.D.13: : Use multivariate thinking to articulate how variables impact one another, and measure the strength of association using correlation coefficients for regression curves.

HS.DR.E: : Understand independence and conditional probability and use them to interpret data.

HS.DR.E.15: : Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

Correlation last revised: 11/9/2023

Oregon - Mathematics: High School

Mathematics Standards | Adopted: 2021

HS.AEE: : Algebraic Reasoning: Expressions and Equations

HS.AFN: : Algebraic Reasoning: Functions

HS.NQ: : Numeric Reasoning: Number and Quantity

HS.GM: : Geometric Reasoning and Measurement

HS.DR: : Data Reasoning and Probability