Standards

M3.1.A: Select and justify functions and equations to model and solve problems.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Equations on the Number Line

M3.1.B: Solve problems that can be represented by systems of equations and inequalities.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

M3.1.D: Solve problems that can be represented by exponential and logarithmic functions and equations.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

M3.1.E: Solve problems that can be represented by inverse variations of the forms f(x) = a/x + b, f(x) = a/xÂ² + b, and f(x) = a/(bx+c).

M3.2.A: Sketch results of transformations and compositions of transformations for a given two-dimensional figure on the coordinate plane, and describe the rule(s) for performing translations or for performing reflections about the coordinate axes or the line y = x.

Dilations

Rotations, Reflections, and Translations

Translations

M3.2.B: Determine and apply properties of transformations.

Circles

Dilations

Reflections

Rotations, Reflections, and Translations

Translations

M3.2.D: Describe the symmetries of two-dimensional figures and describe transformations, including reflections across a line and rotations about a point.

M3.2.E: Construct new functions using the transformations f(x - h), f(x) + k, cf(x), and by adding and subtracting functions, and describe the effect on the original graph(s).

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Exponential Functions

Introduction to Exponential Functions

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

Zap It! Game

M3.3.A: Know and use basic properties of exponential and logarithmic functions and the inverse relationship between them.

Exponential Functions

Logarithmic Functions

M3.3.B: Graph an exponential function of the form f(x) = ab to the x power and its inverse logarithmic function.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

M3.3.C: Solve exponential and logarithmic equations.

M3.3.D: Plot points, sketch, and describe the graphs of functions of the form f (x) = a times the square root of x - c + d, and solve related equations.

M3.3.E: Plot points, sketch, and describe the graphs of functions of the form f(x) = a/x² + b and f(x) = a/(bx + c), and solve related equations.

Compound Interest

Exponential Functions

General Form of a Rational Function

Introduction to Exponential Functions

Logarithmic Functions

Rational Functions

M3.3.F: Plot points, sketch, and describe the graphs of cubic polynomial functions of the form f(x) = ax³ + d as an example of higher order polynomials and solve related equations.

Graphs of Polynomial Functions

Translating and Scaling Functions

M3.4.A: Calculate and interpret measures of variability and standard deviation and use these measures and the characteristics of the normal distribution to describe and compare data sets.

Polling: City

Populations and Samples

Real-Time Histogram

Sight vs. Sound Reactions

M3.4.B: Calculate and interpret margin of error and confidence intervals for population proportions.

Polling: City

Polling: Neighborhood

M3.5.A: Describe the intersections of lines in the plane and in space, of lines and planes, and of planes in space.

Cat and Mouse (Modeling with Linear Systems)

Concurrent Lines, Medians, and Altitudes

Parallel, Intersecting, and Skew Lines

Solving Equations by Graphing Each Side

M3.5.B: Describe prisms, pyramids, parallelepipeds, tetrahedra, and regular polyhedra in terms of their faces, edges, vertices, and properties.

Pyramids and Cones

Surface and Lateral Areas of Pyramids and Cones

M3.5.D: Apply formulas for surface area and volume of three-dimensional figures to solve problems.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

M3.6.A: Explain how whole, integer, rational, real, and complex numbers are related, and identify the number system(s) within which a given algebraic equation can be solved.

Points in the Complex Plane

Solving Algebraic Equations II

Solving Equations on the Number Line

M3.6.C: Add, subtract, multiply, and divide polynomials.

Addition and Subtraction of Functions

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

Modeling the Factorization of *x*^{2}+*bx*+*c*

M3.6.D: Add, subtract, multiply, divide, and simplify rational and more general algebraic expressions.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

Using Algebraic Equations

M3.7.A: Know, prove, and apply basic theorems relating circles to tangents, chords, radii, secants, and inscribed angles.

Chords and Arcs

Inscribed Angles

M3.7.B: Determine the equation of a circle that is described geometrically in the coordinate plane and, given equations for a circle and a line, determine the coordinates of their intersection(s).

M3.7.C: Explain and perform constructions related to the circle.

Correlation last revised: 1/20/2017

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