Gizmos for Wyoming - Mathematics: High School (2023 Content and Performance Standards adopted 2024)

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

N: : Number and Quantity

N.RN: : The Real Number System

1.1.1: : Extend the properties of exponents to rational exponents.

N.RN.2: : Rewrite expressions involving radicals and rational exponents using the properties of exponents.

N.Q: : Quantities

1.2.1: : Reason quantitatively and use units to solve problems.

N.Q.1: : Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; and choose and interpret the scale and the origin in graphs and data displays.

N.CN: : The Complex Number System

1.3.1: : Use complex numbers in polynomial identities and equations.

N.CN.7: : Solve quadratic equations with real coefficients that have complex solutions.

A: : Algebra

A.SSE: : Seeing Structure in Expressions

2.1.1: : Write expressions in equivalent forms to solve problems.

A.SSE.3: : Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A.SSE.3a: : Factor a quadratic expression to reveal the zeros of the function it defines.

A.APR: : Arithmetic with Polynomials and Rational Expressions

2.2.1: : Perform arithmetic operations on polynomials.

A.APR.1: : Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

2.2.2: : Understand the relationship between zeros and factors of polynomials.

A.APR.3: : Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

A.CED: : Creating Equations

2.3.1: : Create equations that describe numbers or relationships.

A.CED.1: : Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

A.CED.2: : Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.CED.3: : Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

A.REI: : Reasoning with Equations and Inequalities

2.4.1: : Understand solving equations as a process of reasoning and explain the reasoning.

A.REI.2: : Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

2.4.2: : Solve equations and inequalities in one variable.

A.REI.3: : Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A.REI.4: : Solve quadratic equations in one variable.

A.REI.4b: : Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

2.4.3: : Solve systems of equations.

A.REI.6: : Estimate solutions graphically and determine algebraic solutions to linear systems, focusing on pairs of linear equations in two variables.

F: : Functions

F.IF: : Interpreting Functions

3.1.1: : Understand the concept of a function and use function notation.

F.IF.1: : Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

F.IF.2: : Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

3.1.2: : Interpret functions that arise in applications in terms of the context.

F.IF.4: : For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

3.1.3: : Analyze functions using different representations.

F.IF.7: : Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.7a: : Graph linear and quadratic functions and show intercepts, maxima, and minima.

F.IF.7b: : Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

F.IF.7c: : Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

F.IF.7e: : Graph exponential and logarithmic functions, showing intercepts and end behavior.

F.BF: : Building Functions

3.2.1: : Build a function that models a relationship between two quantities.

F.BF.1: : Write a function that describes a relationship between two quantities.

F.BF.1a: : Determine an explicit expression, a recursive process, or steps for calculation from a context.

3.2.2: : Build new functions from existing functions.

F.BF.3: : Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

F.BF.4: : Find inverse functions.

F.BF.4a: : Write an expression for the inverse of a simple, invertible function f(x). Understand that an inverse function can be obtained by expressing the dependent variable of one function as the independent variable of another, as f and g are inverse functions, if and only if, f(x) = y and g(y) = x, for all values of x in the domain of f and all values of y in the domain of g.

F.LE: : Linear, Quadratic, and Exponential Models

3.3.1: : Construct and compare linear, quadratic, and exponential models and solve problems.

F.LE.1: : Distinguish between situations that can be modeled with linear functions and with exponential functions.

F.LE.1a: : Verify that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.

F.LE.1b: : Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

F.LE.1c: : Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

F.LE.2: : Construct linear and exponential functions using a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

G: : Geometry

G.CO: : Congruence

4.1.1: : Experiment with transformations in the plane.

G.CO.3: : Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

4.1.3: : Prove geometric theorems.

G.CO.9: : Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.

G.CO.10: : Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

G.SRT: : Similarity, Right Triangles, and Trigonometry

4.2.1: : Prove theorems involving similarity.

G.SRT.5: : Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

4.2.2: : Define trigonometric ratios and solve problems involving right triangles.

G.SRT.8: : Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

G.C: : Circles

4.3.1: : Find arc lengths and areas of sectors of circles.

G.C.5: : Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

G.GMD: : Geometric Measurement and Dimension

4.5.1: : Explain volume formulas and use them to solve problems.

G.GMD.3: : Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

S: : Statistics and Probability

S.ID: : Interpreting Categorical and Quantitative Data

5.1.1: : Summarize, represent, and interpret data on a single count or measurement variable.

S.ID.2: : Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

5.1.2: : Summarize, represent, and interpret data on two categorical and quantitative variables.

S.ID.6: : Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

S.ID.6a: : Use a function to describe data trends to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.

5.1.3: : Interpret linear models.

S.ID.7: : Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

S.ID.9: : Distinguish between correlation and causation.

Correlation last revised: 11/10/2025

Wyoming - Mathematics: High School

2023 Content and Performance Standards | Adopted: 2024

N: : Number and Quantity

A: : Algebra

F: : Functions

G: : Geometry

S: : Statistics and Probability