question

A1.NQ.A.1

answer

Explain how the meaning of rational exponents extends from the properties of integer exponents.

question

A1.NQ.A.2

answer

Rewrite expressions involving radicals and rational exponents using the properties of exponents. Limit to rational exponents with a numerator of 1.

question

A1.NQ.B.3a

answer

Use units of measure as a way to understand and solve problems involving quantities.

question

A1.NQ.B.3b

answer

Use units of measure as a way to understand and solve problems involving quantities.

question

A1.NQ.B.3c

answer

Use units of measure as a way to understand and solve problems involving quantities.

question

A1.NQ.B.3d

answer

Use units of measure as a way to understand and solve problems involving quantities.

question

A1.NQ.B.4

answer

Define and use appropriate quantities for representing a given context or problem.

question

A1.NQ.B.5

answer

Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

question

A1.SSE.A.1

answer

Interpret the contextual meaning of individual terms or factors from a given problem that utilizes formulas or expressions.

question

A1.SSE.A.2

answer

Analyze the structure of polynomials to create equivalent expressions or equations.

question

A1.SSE.A.3a

answer

Choose and produce equivalent forms of a quadratic expression or equations to reveal and explain properties.

question

A1.SSE.A.3b

answer

Choose and produce equivalent forms of a quadratic expression or equations to reveal and explain properties.

question

A1.CED.A.1

answer

Create equations and inequalities in one variable and use them to model and/or solve problems.

question

A1.CED.A.2

answer

Create and graph linear, quadratic and exponential equations in two variables.

question

A1.CED.A.3

answer

Represent constraints by equations or inequalities and by systems of equations or inequalities, and interpret the data points as a solution or non-solution in a modeling context.

question

A1.CED.A.4

answer

Solve literal equations and formulas for a specified variable that highlights a quantity of interest.

question

A1.REI.A.1

answer

Explain how each step taken when solving an equation or inequality in one variable creates an equivalent equation or inequality that has the same solution(s) as the original.

question

A1.REI.A.2a

answer

Solve problems involving quadratic equations.

question

A1.REI.A.2b

answer

Solve problems involving quadratic equations.

question

A1.REI.A.2c

answer

Solve problems involving quadratic equations.

question

A1.REI.B.3

answer

Solve a system of linear equations algebraically and/or graphically.

question

A1.REI.B.4

answer

Solve a system consisting of a linear equation and a quadratic equation algebraically and/or graphically.

question

A1.REI.B.5

answer

Justify that the technique of linear combination produces an equivalent system of equations.

question

A1.REI.C.6

answer

Explain that the graph of an equation in two variables is the set of all its solutions plotted in the Cartesian coordinate plane.

question

A1.REI.C.7

answer

Graph the solution to a linear inequality in two variables.

question

A1.REI.C.8

answer

Solve problems involving a system of linear inequalities.

question

A1.APR.A.1

answer

Add, subtract and multiply polynomials, and understand that polynomials follow the same general rules of arithmetic and are closed under these operations.

question

A1.APR.A.2

answer

Divide polynomials by monomials.

question

A1.IF.A.1a

answer

Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range.

question

A1.IF.A.1b

answer

Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range.

question

A1.IF.A.2

answer

Use function notation to evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

question

A1.IF.B.3

answer

Using tables, graphs and verbal descriptions, interpret key characteristics of a function that models the relationship between two quantities.

question

A1.IF.B.4

answer

Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.

question

A1.IF.B.5

answer

Determine the average rate of change of a function over a specified interval and interpret the meaning.

question

A1.IF.B.6

answer

Interpret the parameters of a linear or exponential function in terms of the context.

question

A1.IF.C.7

answer

Graph functions expressed symbolically and identify and interpret key features of the graph.

question

A1.IF.C.8

answer

Translate between different but equivalent forms of a function to reveal and explain properties of the function and interpret these in terms of a context.

question

A1.IF.C.9

answer

Compare the properties of two functions given different representations.

question

A1.BF.A.1

answer

Analyze the effect of translations and scale changes on functions.

question

A1.LQE.A.1a

answer

Distinguish between situations that can be modeled with linear or exponential functions.

question

A1.LQE.A.1b

answer

Distinguish between situations that can be modeled with linear or exponential functions.

question

A1.LQE.A.2

answer

Describe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.

question

A1.LQE.A.3

answer

Construct linear, quadratic and exponential equations given graphs, verbal descriptions or tables.

question

A1.LQE.B.4

answer

Write arithmetic and geometric sequences in recursive and explicit forms, and use them to model situations and translate between the two forms.

question

A1.LQE.B.5

answer

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the set of integers.

question

A1.LQE.B.6

answer

Find the terms of sequences given an explicit or recursive formula.

question

A1.DS.A.1

answer

Analyze and interpret graphical displays of data.

question

A1.DS.A.2

answer

Use statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets.

question

A1.DS.A.3

answer

Interpret differences in shape, center and spreads in the context of the data sets, accounting for possible effects of outliers.

question

A1.DS.A.4a

answer

Summarize data in two-way frequency tables.

question

A1.DS.A.4b

answer

Summarize data in two-way frequency tables.

question

A1.DS.A.5a

answer

Construct a scatter plot of bivariate quantitative data describing how the variables are related; determine and use a function that models the relationship.

question

A1.DS.A.5b

answer

Construct a scatter plot of bivariate quantitative data describing how the variables are related; determine and use a function that models the relationship.

question

A1.DS.A.6

answer

Interpret the slope (rate of change) and the y-intercept (constant term) of a linear model in the context of the data.

question

A1.DS.A.7

answer

Determine and interpret the correlation coefficient for a linear association.

question

A1.DS.A.8

answer

Distinguish between correlation and causation.

question

A2.NQ.A.1

answer

Extend the system of powers and roots to include rational exponents.

question

A2.NQ.A.2

answer

Create and recognize equivalent expressions involving radical and exponential forms of expressions.

question

A2.NQ.A.3

answer

Add, subtract, multiply and divide radical expressions.

question

A2.NQ.A.4

answer

Solve equations involving rational exponents and/or radicals and identify situations where extraneous solutions may result.

question

A2.NQ.B.5

answer

Represent complex numbers.

question

A2.NQ.B.6

answer

Add, subtract, multiply and divide complex numbers.

question

A2.NQ.B.7

answer

Know and apply the Fundamental Theorem of Algebra.

question

A2.SSE.A.1

answer

Develop the definition of logarithms based on properties of exponents.

question

A2.SSE.A.2

answer

Use the inverse relationship between exponents and logarithms to solve exponential and logarithmic equations.

question

A2.SSE.A.3

answer

Use properties of logarithms to solve equations or find equivalent expressions.

question

A2.SSE.A.4

answer

Understand why logarithmic scales are used, and use them to solve problems.

question

A2.REI.A.1

answer

Create and solve equations and inequalities, including those that involve absolute value.

question

A2.REI.A.2

answer

Solve rational equations where numerators and denominators are polynomials and where extraneous solutions may result.

question

A2.REI.B.3

answer

Create and solve systems of equations that may include non-linear equations and inequalities.

question

A2.APR.A.1

answer

Extend the knowledge of factoring to include factors with complex coefficients.

question

A2.APR.A.2

answer

Understand the Remainder Theorem and use it to solve problems.

question

A2.APR.A.3

answer

Find the least common multiple of two or more polynomials.

question

A2.APR.A.4

answer

Add, subtract, multiply and divide rational expressions.

question

A2.APR.A.5

answer

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to sketch the function defined by the polynomial.

question

A2.IF.A.1

answer

Identify and interpret key characteristics of functions represented graphically, with tables and with algebraic symbolism to solve problems.

question

A2.IF.A.2

answer

Translate between equivalent forms of functions.

question

A2.BF.A.1

answer

Create new functions by applying the four arithmetic operations and composition of functions (modifying the domain and range as necessary).

question

A2.BF.A.2

answer

Derive inverses of functions, and compose the inverse with the original function to show that the functions are inverses.

question

A2.BF.A.3

answer

Describe the effects of transformations algebraically and graphically, creating vertical and horizontal translations, vertical and horizontal reflections and dilations (expansions/compressions) for linear, quadratic, cubic, square and cube root, absolute value, exponential and logarithmic functions.

question

A2.FM.A.1

answer

Create functions and use them to solve applications of quadratic and exponential function model problems.

question

A2.DS.A.1

answer

Analyze how random sampling could be used to make inferences about population parameters.

question

A2.DS.A.2

answer

Determine whether a specified model is consistent with a given data set.

question

A2.DS.A.3

answer

Describe and explain the purposes, relationship to randomization and differences among sample surveys, experiments and observational studies.

question

A2.DS.A.4

answer

Use data from a sample to estimate characteristics of the population and recognize the meaning of the margin of error in these estimates.

question

A2.DS.A.5

answer

Describe and explain how the relative sizes of a sample and the population affect the margin of error of predictions.

question

A2.DS.A.6

answer

Analyze decisions and strategies using probability concepts.

question

A2.DS.A.7

answer

Evaluate reports based on data.

question

A2.DS.B.8

answer

Know and use the characteristics of normally distributed data sets; predict what percentage of the data will be above or below a given value that is a multiple of standard deviations above or below the mean.

question

A2.DS.B.9

answer

Fit a data set to a distribution using its mean and standard deviation to determine whether the data is approximately normally distributed.

question

G.CO.A.1

answer

Define angle, circle, perpendicular line, parallel line, line segment and ray based on the undefined notions of point, line, distance along a line and distance around a circular arc.

question

G.CO.A.2

answer

Represent transformations in the plane, and describe them as functions that take points in the plane as inputs and give other points as outputs.

question

G.CO.A.3

answer

Describe the rotational symmetry and lines of symmetry of two-dimensional figures.

question

G.CO.A.4

answer

Develop definitions of rotations, reflections and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments.

question

G.CO.A.5

answer

Demonstrate the ability to rotate, reflect or translate a figure, and determine a possible sequence of transformations between two congruent figures.

question

G.CO.B.6

answer

Develop the definition of congruence in terms of rigid motions.

question

G.CO.B.7

answer

Develop the criteria for triangle congruence from the definition of congruence in terms of rigid motions.

question

G.CO.C.8

answer

Prove theorems about lines and angles.

question

G.CO.C.9

answer

Prove theorems about triangles.

question

G.CO.C.10

answer

Prove theorems about polygons.

question

G.CO.D.11

answer

Construct geometric figures using various tools and methods.

question

G.SRT.A.1

answer

Construct and analyze scale changes of geometric figures.

question

G.SRT.A.2

answer

Use the definition of similarity to decide if figures are similar and to solve problems involving similar figures.

question

G.SRT.A.3

answer

Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

question

G.SRT.B.4

answer

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

question

G.SRT.C.5

answer

Understand that side ratios in right triangles define the trigonometric ratios for acute angles.

question

G.SRT.C.6

answer

Explain and use the relationship between the sine and cosine of complementary angles.

question

G.SRT.C.7

answer

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles.

question

G.SRT.C.8

answer

Derive the formula A = 1/2 ab sin(C) for the area of a triangle.

question

G.C.A.1

answer

Prove that all circles are similar using similarity transformations.

question

G.C.A.2

answer

Identify and describe relationships among inscribed angles, radii and chords of circles.

question

G.C.A.3

answer

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

question

G.C.B.4

answer

Derive the formula for the length of an arc of a circle.

question

G.C.B.5

answer

Derive the formula for the area of a sector of a circle.

question

G.GPE.A.1

answer

Derive the equation of a circle.

question

G.GPE.A.2

answer

Derive the equation of a parabola given a focus and directory.

question

G.GPE.B.3

answer

Use coordinates to prove geometric theorems algebraically.

question

G.GPE.B.4

answer

Prove the slope criteria for parallel and perpendicular lines and use them to solve problems.

question

G.GPE.B.5

answer

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

question

G.GPE.B.6

answer

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.

question

G.GMD.A.1

answer

Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone.

question

G.GMD.A.2

answer

Use volume formulas for cylinders, pyramids, cones, spheres and composite figures to solve problems.

question

G.GMD.B.3

answer

Identify the shapes of two-dimensional cross-sections of three-dimensional objects.

question

G.GMD.B.4

answer

Identify three-dimensional objects generated by transformations of two-dimensional objects.

question

G.MG.A.1

answer

Use geometric shapes, their measures and their properties to describe objects.

question

G.MG.A.2

answer

Apply concepts of density based on area and volume in modeling situations.

question

G.MG.A.3

answer

Apply geometric methods to solve design mathematical modeling problems.

question

G.CP.A.1

answer

Describe events as subsets of a sample space using characteristics of the outcomes, or as unions, intersections or complements of other events.

question

G.CP.A.2

answer

Understand the definition of independent events and use it to solve problems.

question

G.CP.A.3

answer

Calculate conditional probabilities of events.

question

G.CP.A.4

answer

Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

question

G.CP.A.5

answer

Recognize and explain the concepts of conditional probability and independence in a context.

question

G.CP.A.6

answer

Apply and interpret the Addition Rule for calculating probabilities.

question

G.CP.A.7

answer

Apply and Interpret the general Multiplication Rule in a uniform probability model.

question

G.CP.A.8

answer

Use permutations and combinations to solve problems.

Missouri Learning Standards – High School Math – Flashcards

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