high-school-math (Oregon Math Standards)

Algebraic Reasoning: Expressions and Equations (AEE)

• HS.AEE.A.1 Treat parts of an expression as single quantities and reason about how changing a part changes the whole.
• HS.AEE.A.2 Make and recognize equivalent expressions to understand what a quantity means in context.
• HS.AEE.A.3 Rearrange formulas and equations to bring out a particular quantity.
• HS.AEE.B.4 Define variables and write equations in several variables that model relationships, then solve problems.
• HS.AEE.B.5 Define variables and write inequalities to solve problems in context.
• HS.AEE.B.6 Solve systems of linear equations and inequalities by reasoning, algebra or technology.
• HS.AEE.C.7 Express constraints as equations, inequalities or systems and judge whether solutions are workable.
• HS.AEE.C.8 Build a sound argument to justify a method of solving.
• HS.AEE.D.9 Know that the solutions of a two-variable equation form a curve, which may be a straight line.
• HS.AEE.D.10 Explain why the x-values where the graphs of f and g meet solve f(x) = g(x), and interpret them in context.
• HS.AEE.D.11 Graph solutions of linear inequalities as half-planes and explain a system's solution as where they overlap.

Algebraic Reasoning: Functions (AFN)

• HS.AFN.A.1 Understand that a function gives exactly one output for each input, so one quantity determines another.
• HS.AFN.A.2 Use function notation and interpret statements written with it in context.
• HS.AFN.A.3 Work out what the average rate of change over an interval is and what it means.
• HS.AFN.B.4 Compare two functions given in different forms and group functions into families by shared features.
• HS.AFN.B.5 Link a function's domain to its graph and to the situation it models.
• HS.AFN.C.6 Read key features of functions from different representations and predict features from the context.
• HS.AFN.C.7 Graph functions with technology to show their key features.
• HS.AFN.D.8 Model arithmetic patterns with pictures, graphs or explicit formulas.
• HS.AFN.D.9 Recognize and explain how changes to an equation transform its graph.
• HS.AFN.D.10 Decide whether a situation is linear, exponential or neither, and interpret the coefficients.

Numeric Reasoning: Number and Quantity (NQ)

• HS.NQ.A.1 Justify the rules for integer exponents, extend exponents to negative and rational values and use them in models.
• HS.NQ.A.2 Compare rational and irrational numbers in different forms and use the comparisons in context.
• HS.NQ.B.3 Choose and interpret units consistently in formulas, graphs and data displays.
• HS.NQ.B.4 Define and interpret quantities with rational and irrational numbers and justify the choices.
• HS.NQ.B.5 Report modeled quantities with a level of accuracy that fits the limits of the measurement.

Geometric Reasoning and Measurement (GM)

• HS.GM.A.1 Use the definitions of rotation, reflection and translation to map congruent figures onto each other in context.
• HS.GM.A.2 Check properties of dilations from a center and scale factor and solve similar-triangle problems.
• HS.GM.A.3 Use slopes and the coordinates of polygon vertices to solve problems in context.
• HS.GM.A.4 Use definitions of transformations and symmetry to justify solutions in context.
• HS.GM.B.5 Apply and justify theorems on congruent and similar triangles in context.
• HS.GM.B.6 Justify theorems about lines, angles, triangles and parallelograms and use them to solve problems.
• HS.GM.B.7 Carry out geometric constructions with a range of tools and methods.
• HS.GM.C.8 Solve modeling problems with area formulas for polygons and circles.
• HS.GM.C.9 Use volume and surface area formulas for common solids to solve problems.
• HS.GM.C.10 Use measures and properties of shapes to describe real objects and solve design problems.
• HS.GM.C.11 Apply ideas of density (per unit area or volume) when modeling.
• HS.GM.D.12 Use sine, cosine, tangent and the Pythagorean Theorem in context.
• HS.GM.D.13 Apply the Pythagorean Theorem in context and use it to derive the standard equation of a circle.
• HS.GM.D.14 Use coordinates to decide whether lines are parallel or perpendicular and to find distances.

Data Reasoning and Probability (DR)

• HS.DR.A.1 Pose questions involving several variables and decide how sample data could answer them.
• HS.DR.A.2 Pose summary, comparison and association questions for surveys, observational studies and experiments.
• HS.DR.A.3 Pose questions about cause and about prediction from correlation.
• HS.DR.A.4 Use statistical reasoning to question conclusions and weigh risks.
• HS.DR.B.5 Describe good design for surveys, experiments and observational studies and recognize bias and confounding.
• HS.DR.B.6 Tell surveys, observational studies and experiments apart and choose the right one for a question.
• HS.DR.B.7 Carry out a plan to collect primary or secondary data.
• HS.DR.C.8 Summarize one- and two-variable data with graphs and tables, using technology.
• HS.DR.C.9 Choose center and spread measures that suit the shape of the data to compare data sets.
• HS.DR.C.10 Compare two groups, describe their variability and judge whether differences are meaningful.
• HS.DR.D.11 Use statistical evidence to answer questions and share findings in several formats.
• HS.DR.D.12 Judge whether an outcome or estimate is believable compared with chance variation.
• HS.DR.D.13 Think about several variables at once and measure strength of association with correlation coefficients.
• HS.DR.E.14 Describe possible outcomes as subsets of a sample space.
• HS.DR.E.15 Explain conditional probability and independence in everyday situations.