### A1: Algebra

#### A1.N: Number and Operations

A1.N.1: Understand numbers, ways of representing numbers, relationships among numbers and number systems

A1.N.1.A: compare and order rational and irrational numbers, including finding their approximate locations on a number line

A1.N.3: Compute fluently and make reasonable estimates

A1.N.3.E: solve problems involving proportions

#### A1.A: Algebraic Relationships

A1.A.1: Understand patterns, relations and functions

A1.A.1.B: generalize patterns using explicitly or recursively defined functions

A1.A.1.C: compare and contrast various forms of representations of patterns

A1.A.1.D: understand and compare the properties of linear and nonlinear functions

A1.A.1.E: describe the effects of parameter changes on linear, exponential growth/decay and quadratic functions including intercepts

A1.A.2: Represent and analyze mathematical situations and structures using algebraic symbols

A1.A.2.A: use symbolic algebra to represent and solve problems that involve linear and quadratic relationships including equations and inequalities

A1.A.2.B: describe and use algebraic manipulations, including factoring and rules of integer exponents and apply properties of exponents (including order of operations) to simplify expressions

A1.A.2.C: use and solve equivalent forms of equations (linear, absolute value, and quadratic)

A1.A.2.D: use and solve systems of linear equations or inequalities with 2 variables

A1.A.4: Analyze change in various contexts

A1.A.4.A: analyze linear and quadratic functions by investigating rates of change, intercepts and zeros

#### A1.G: Geometric and Spatial Relationships

A1.G.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

A1.G.1.B: apply geometric properties such as similarity and angle relationship to solve multi-step problems in 2 dimensions

A1.G.4: Use visualization, spatial reasoning and geometric modeling to solve problems

A1.G.4.B: draw or use visual models to represent and solve problems

#### A1.M: Measurement

A1.M.2: Apply appropriate techniques, tools and formulas to determine measurements

A1.M.2.D: describe the effects of operations, such as multiplication, division and computing powers and roots on magnitudes of quantities and effects of computation on precision which include the judging of reasonable of numerical computations and their results

#### A1.D: Data and Probability

A1.D.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

A1.D.1.A: formulate questions and collect data about a characteristic which include sample spaces and distributions

A1.D.1.C: select and use appropriate graphical representation of data and given one-variable quantitative data, display the distribution and describe its shape

A1.D.2: Select and use appropriate statistical methods to analyze data

A1.D.2.A: apply statistical measures of center to solve problems

A1.D.2.C: given a scatterplot, determine an equation for a line of best fit

A1.D.3: Develop and evaluate inferences and predictions that are based on data

A1.D.3.A: make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data

### G: Geometry

#### G.N: Number and Operations

G.N.1: Understand numbers, ways of representing numbers, relationships among numbers and number systems

G.N.1.A: compare and order rational and irrational numbers, including finding their approximate locations on a number line

G.N.3: Compute fluently and make reasonable estimates

G.N.3.E: solve problems involving proportions

#### G.A: Algebraic Relationships

G.A.1: Understand patterns, relations and functions

G.A.1.B: generalize patterns using explicitly or recursively defined functions

G.A.1.C: compare and contrast various forms of representations of patterns

G.A.4: Analyze change in various contexts

G.A.4.A: analyze linear functions by investigating rates of change and intercepts

#### G.G: Geometric and Spatial Relationships

G.G.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

G.G.1.A: use inductive and deductive reasoning to establish the validity of geometric conjectures, prove theorems and critique arguments made by others

G.G.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems

G.G.2.A: make conjectures and solve problems involving 2-dimensional objects represented with Cartesian coordinates

G.G.3: Apply transformations and use symmetry to analyze mathematical situations

G.G.3.A: use and apply constructions and the coordinate plane to represent translations, reflections, rotations and dilations of objects

G.G.3.C: identify types of symmetries of 2- and 3- dimensional figures

#### G.M: Measurement

G.M.2: Apply appropriate techniques, tools and formulas to determine measurements

G.M.2.B: solve problems of angle measure, including those involving triangles or other polygons and of parallel lines cut by a transversal

G.M.2.C: determine the surface area, and volume of geometric figures, including cones, spheres, and cylinders

#### G.D: Data and Probability

G.D.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

G.D.1.C: select and use appropriate graphical representation of data and given one-variable quantitative data, display the distribution and describe its shape

### AII: Algebra II

#### AII.N: Number and Operations

AII.N.1.A: compare and order rational and irrational numbers, including finding their approximate locations on a number line

AiI.N.3: Compute fluently and make reasonable estimates

AiI.N.3.D: judge the reasonableness of numerical computations and their results, including complex numbers

AII.N.3.E: solve problems involving proportions

AII.A.1: Understand patterns, relations and functions

AII.A.1.B: generalize patterns using explicitly or recursively defined functions

#### AiI.A: Algebraic Relationships

AiI.A.1.C: compare and contrast various forms of representations of patterns

AII.A.1.D: compare properties of linear, exponential, logarithmic and rational functions

AiI.A.1.E: describe the effects of parameter changes on functions

AiI.A.2.A: use symbolic algebra to represent and solve problems that involve exponential, quadratic and logarithmic relationships

AiI.A.2.C: use and solve equivalent forms of equations and inequalities

AII.A.2: Represent and analyze mathematical situations and structures using algebraic symbols

AII.A.2.D: use and solve systems of linear and quadratic equations or inequalities with 2 variables

AII.A.4.A: analyze exponential and logarithmic functions by investigating rates of change, intercepts and asymptotes

#### AiI.G: Geometric and Spatial Relationships

AiI.G.1.A: use trigonometric relationships with right triangles to determine lengths and angle measures

AII.G.3: Apply transformations and use symmetry to analyze mathematical situations

AII.G.3.B: translate, dilate and reflect functions

AII.G.4: Use visualization, spatial reasoning and geometric modeling to solve problems

AII.G.4.B: draw or use visual models to represent and solve problems

AII.M.2.E: use unit analysis to solve problems involving rates, such as speed, density or population density

#### AiI.D: Data and Probability

AiI.D.1.C: select and use appropriate graphical representation of data and given one-variable quantitative data, describe its shape and calculate summary statistics

AiI.D.2.A: apply statistical measures of center to solve problems

AiI.D.2.C: given a scatterplot, determine a type of function which models the data

AII.D.4.A: describe the concepts of sample space and probability distribution

AiI.D.4: Understand and apply basic concepts of probability

AiI.D.4.B: use and describe the concepts of conditional probability and independent events and how to compute the probability of a compound event

### IMII: Integrated Math II

#### IMII.G: Geometric and Spatial Relationships

IMII.G.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

IMII.G.1.A: use trigonometric relationships with right triangles to determine lengths and angle measures

IMII.G.3: Apply transformations and use symmetry to analyze mathematical situations

IMII.G.3.A: use and apply constructions and matrices to represent translations, reflections, rotations, and dilations

Correlation last revised: 3/15/2010

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