High School (Nebraska Standards)

Number (N)

• MA.HS.N.1 Use estimation strategies and technology to reason and solve problems.
  • MA.HS.N.1.a Choose, use and explain a calculation method: models, mental, paper and pencil or technology.
  • MA.HS.N.1.b Decide whether a context needs an approximate or an exact value.
  • MA.HS.N.1.c Choose a rounding convention to suit the context.
  • MA.HS.N.1.d Estimate values by bounding them between known values.
  • MA.HS.N.1.e Find the tolerance interval and percent error of a measurement.
  • MA.HS.N.1.f Convert equivalent rates, e.g. miles per hour to feet per second.
  • MA.HS.N.1.g Judge whether a calculator or graphing tool can sensibly show extreme quantities.
  • MA.HS.N.1.h Use scientific notation for very large and very small quantities.
• MA.HS.N.2 Use number sets and operations to reason and solve problems.
  • MA.HS.N.2.a Extend the properties of exponents to rational exponents.
  • MA.HS.N.2.b Use properties of rational and irrational numbers.
  • MA.HS.N.2.c Show how subsets of the real numbers relate to the complex number system.
  • MA.HS.N.2.d Compute with complex, imaginary, rational, irrational, integer, whole and natural numbers.
• MA.HS.N.3 Reason with units to solve problems and interpret results in context.
  • MA.HS.N.3.a Understand round-off error and why it builds up when rounding happens early.
  • MA.HS.N.3.b Use estimation to check reasonableness and choose between approximate and exact answers.
  • MA.HS.N.3.c Use units to judge whether an answer makes sense in context.
  • MA.HS.N.3.d Explain what an answer means in context.

Algebra (A)

• MA.HS.A.1 Show and represent relationships with functions.
  • MA.HS.A.1.a Show that functions are a well-behaved subset of relations.
  • MA.HS.A.1.b Decide whether a relation is a function from mapping diagrams, notation, tables or graphs.
  • MA.HS.A.1.c Classify a function as linear, quadratic, absolute value, exponential or other.
  • MA.HS.A.1.d Use domain and range to decide if a function is one-to-one and has an inverse.
  • MA.HS.A.1.e Define, interpret and analyze linear, quadratic, absolute value and exponential functions using key points and technology.
  • MA.HS.A.1.f Identify, analyze and use translations and dilations of known functions.
  • MA.HS.A.1.g Read logarithmic equations as exponential equations.
  • MA.HS.A.1.h Describe arithmetic sequences with tables and explicit and recursive forms.
  • MA.HS.A.1.i Describe geometric sequences with tables and explicit and recursive forms.
• MA.HS.A.2 Use properties of operations with rational expressions and linear and quadratic equations and inequalities.
  • MA.HS.A.2.a Analyze and explain the properties used to solve equations, inequalities, systems and literal equations.
  • MA.HS.A.2.b Write equivalent expressions that reveal useful features.
  • MA.HS.A.2.c Choose efficient solution methods and suitable technology.
  • MA.HS.A.2.d Find slope from two points, a graph or a table.
  • MA.HS.A.2.e Write and graph linear, absolute value, quadratic and exponential functions from key points.
  • MA.HS.A.2.f Write the equation of a line parallel or perpendicular to a given line.
  • MA.HS.A.2.g Carry out and explain polynomial operations, including factoring.
  • MA.HS.A.2.h Explain how polynomial factors are linked to zeros.
  • MA.HS.A.2.i Combine functions by composition and do operations on functions.
• MA.HS.A.3 Solve real problems using nonlinear functions.
  • MA.HS.A.3.a Model real situations with several representations and technology.
  • MA.HS.A.3.b Identify, interpret and graph factors, x-intercepts, roots and zeros of polynomials.
  • MA.HS.A.3.c Predict suitable solutions from context and domain or range (extraneous, imaginary, none or infinitely many).

Geometry (G)

• MA.HS.G.1 Identify attributes, use properties and theorems, and create two-dimensional shapes.
  • MA.HS.G.1.a Show figures are similar or congruent using rigid motions and dilations.
  • MA.HS.G.1.b Describe symmetries as rigid motions and reason about symmetric figures.
  • MA.HS.G.1.c Explain how triangle congruence and similarity criteria follow from definitions.
  • MA.HS.G.1.d Use right-triangle relationships, including the converse of the Pythagorean theorem.
  • MA.HS.G.1.e Use side and angle relationships in 30-60-90 and 45-45-90 triangles.
  • MA.HS.G.1.f Use sine, cosine and tangent in right triangles.
  • MA.HS.G.1.g Use interior and exterior angle formulas for polygons in real situations.
  • MA.HS.G.1.h Compare and contrast properties of quadrilaterals, including trapezoids and kites.
  • MA.HS.G.1.i Use slope and the distance formula to classify quadrilaterals.
  • MA.HS.G.1.j Use properties of central, inscribed and intersecting-line angles, arc lengths and sector areas.
• MA.HS.G.2 Identify attributes, use properties and theorems, and create three-dimensional shapes.
  • MA.HS.G.2.a Convert between units of volume.
  • MA.HS.G.2.b Use scale factors to find volumes of similar solids.
  • MA.HS.G.2.c Find surface area and volume of pyramids, spheres, cylinders, cones and composite solids.
• MA.HS.G.3 Show and represent location, orientation and relationships on the coordinate plane.
  • MA.HS.G.3.a Derive the midpoint formula from averages and use it.
  • MA.HS.G.3.b Find images and preimages under reflections, 90° rotations about the origin, dilations, translations and combinations.
  • MA.HS.G.3.c Write the equation of a circle from its center and radius.
• MA.HS.G.4 Use geometric definitions and theorems to reason abstractly and quantitatively.
  • MA.HS.G.4.a Use definitions to make deductions, e.g. syllogism and detachment.
  • MA.HS.G.4.b Evaluate conditional, converse, contrapositive, inverse and biconditional statements.
  • MA.HS.G.4.c Evaluate arguments set out as flow, two-column or paragraph proofs.
  • MA.HS.G.4.d Use coordinate geometry to classify triangles.
  • MA.HS.G.4.e Prove and use theorems about triangles, congruence and similarity.
  • MA.HS.G.4.f Prove and use theorems about quadrilaterals.

Data (D)

• MA.HS.D.1 Pose questions and collect and organize data.
  • MA.HS.D.1.a Pose investigative questions with several variables and plan the analysis.
  • MA.HS.D.1.b Carry out a plan to collect primary data.
  • MA.HS.D.1.c Use technology, including spreadsheets, to organize data.
  • MA.HS.D.1.d Tell apart surveys, observational studies and experiments.
  • MA.HS.D.1.e Understand good practice in sample surveys, experiments and observational studies.
  • MA.HS.D.1.f Understand bias and confounding variables and how they affect conclusions.
• MA.HS.D.2 Analyze data and interpret results.
  • MA.HS.D.2.a Summarize and show univariate and bivariate data with suitable graphs.
  • MA.HS.D.2.b Describe shape, outliers and spread.
  • MA.HS.D.2.c Choose a suitable measure of center.
  • MA.HS.D.2.d Recognize roughly normal data and draw conclusions.
  • MA.HS.D.2.e Summarize two categorical variables in two-way tables and interpret relative frequencies.
  • MA.HS.D.2.f Show two quantitative variables on a scatter plot and describe how they relate.
  • MA.HS.D.2.g Use technology to fit regression models and interpret slope and y-intercept.
  • MA.HS.D.2.h Measure association with the correlation coefficient.
  • MA.HS.D.2.i Use residuals and residual plots to judge a model.
  • MA.HS.D.2.j Spot arguments that confuse correlation with causation.
  • MA.HS.D.2.k Understand and interpret statistical significance.
  • MA.HS.D.2.l Use probability and p-values to judge risk and make decisions.
• MA.HS.D.3 Interpret and use probability ideas.
  • MA.HS.D.3.a Describe events as subsets of a sample space using unions, intersections and complements.
  • MA.HS.D.3.b Explain independent and dependent events.
  • MA.HS.D.3.c Use permutations and combinations depending on whether order matters.
  • MA.HS.D.3.d Decide whether events are mutually exclusive and find their probabilities.
  • MA.HS.D.3.e Explain conditional probability in everyday language.