NS: Number Sense and Operations

NS.A: Know that there are numbers that are not rational, and approximate them by rational numbers.

NS.A.1: Explore the real number system.

NS.A.1.d: Generate equivalent representations of rational numbers.

 Dividing Mixed Numbers
 Improper Fractions and Mixed Numbers
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Rational Numbers, Opposites, and Absolute Values

NS.A.2: Estimate the value and compare the size of irrational numbers and approximate their locations on a number line.

 Circumference and Area of Circles

EEI: Expressions, Equations and Inequalities

EEI.A: Work with radicals and integer exponents.

EEI.A.1: Know and apply the properties of integer exponents to generate equivalent expressions.

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Simplifying Algebraic Expressions II

EEI.A.2: Investigate concepts of square and cube roots.

EEI.A.2.c: Recognize that square roots of non-perfect squares are irrational.

 Simplifying Radical Expressions

EEI.A.3: Express very large and very small quantities in scientific notation and approximate how many times larger one is than the other.

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

EEI.A.4: Use scientific notation to solve problems.

EEI.A.4.a: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

EEI.A.4.b: Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities.

 Unit Conversions

EEI.B: Understand the connections between proportional relationships, lines and linear equations.

EEI.B.1: Graph proportional relationships.

EEI.B.1.a: Interpret the unit rate as the slope of the graph.

 Distance-Time and Velocity-Time Graphs

EEI.B.2: Apply concepts of slope and y-intercept to graphs, equations and proportional relationships.

EEI.B.2.a: Explain why the slope (m) is the same between any two distinct points on a non-vertical line in the Cartesian coordinate plane.

 Cat and Mouse (Modeling with Linear Systems)
 Slope-Intercept Form of a Line

EEI.B.2.b: Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Standard Form of a Line

EEI.C: Analyze and solve linear equations and inequalities and pairs of simultaneous linear equations.

EEI.C.1: Solve linear equations and inequalities in one variable.

EEI.C.1.a: Create and identify linear equations with one solution, infinitely many solutions or no solutions.

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

EEI.C.1.b: Solve linear equations and inequalities with rational number coefficients, including equations and inequalities whose solutions require expanding expressions using the distributive property and combining like terms.

 Solving Algebraic Equations II

EEI.C.2: Analyze and solve systems of linear equations.

EEI.C.2.a: Graph systems of linear equations and recognize the intersection as the solution to the system.

 Cat and Mouse (Modeling with Linear Systems)
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

EEI.C.2.c: Explain why systems of linear equations can have one solution, no solution or infinitely many solutions.

 Cat and Mouse (Modeling with Linear Systems)
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

EEI.C.2.d: Solve systems of two linear equations.

 Cat and Mouse (Modeling with Linear Systems)
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

GM: Geometry and Measurement

GM.A: Understand congruence and similarity using physical models, transparencies or geometry software.

GM.A.1: Verify experimentally the congruence properties of rigid transformations.

GM.A.1.a: Verify that angle measure, betweeness, collinearity and distance are preserved under rigid transformations.

 Circles
 Dilations
 Reflections
 Rotations, Reflections, and Translations
 Translations

GM.A.1.b: Investigate if orientation is preserved under rigid transformations.

 Dilations
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Translations

GM.A.2: Understand that two-dimensional figures are congruent if a series of rigid transformations can be performed to map the pre-image to the image.

GM.A.2.a: Describe a possible sequence of rigid transformations between two congruent figures.

 Rock Art (Transformations)

GM.A.3: Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.

 Dilations
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Translations

GM.A.5: Explore angle relationships and establish informal arguments.

GM.A.5.a: Derive the sum of the interior angles of a triangle.

 Isosceles and Equilateral Triangles
 Polygon Angle Sum
 Triangle Angle Sum

GM.A.5.b: Explore the relationship between the interior and exterior angles of a triangle.

 Polygon Angle Sum
 Triangle Angle Sum

GM.A.5.c: Construct and explore the angles created when parallel lines are cut by a transversal.

 Constructing Congruent Segments and Angles
 Triangle Angle Sum

GM.A.5.d: Use the properties of similar figures to solve problems.

 Perimeters and Areas of Similar Figures
 Similar Figures
 Similarity in Right Triangles

GM.B: Understand and apply the Pythagorean Theorem.

GM.B.1: Use models to demonstrate a proof of the Pythagorean Theorem and its converse.

 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard

GM.B.2: Use the Pythagorean Theorem to determine unknown side lengths in right triangles in problems in two- and three-dimensional contexts.

 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard

GM.B.3: Use the Pythagorean Theorem to find the distance between points in a Cartesian coordinate system.

 Circles
 Distance Formula

GM.C: Solve problems involving volume of cones, pyramids and spheres.

GM.C.1: Solve problems involving surface area and volume.

GM.C.1.a: Understand the concept of surface area and find surface area of pyramids.

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

GM.C.1.b: Understand the concepts of volume and find the volume of pyramids, cones and spheres.

 Pyramids and Cones

DSP: Data Analysis, Statistics and Probability

DSP.A: Investigate patterns of association in bivariate data.

DSP.A.1: Construct and interpret scatter plots of bivariate measurement data to investigate patterns of association between two quantities.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

DSP.A.2: Generate and use a trend line for bivariate data, and informally assess the fit of the line.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

DSP.A.3: Interpret the parameters of a linear model of bivariate measurement data to solve problems.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

DSP.A.4: Understand the patterns of association in bivariate categorical data displayed in a two-way table.

DSP.A.4.a: Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects.

 Histograms

DSP.A.4.b: Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

 Histograms

F: Functions

F.A: Define, evaluate and compare functions.

F.A.1: Explore the concept of functions. (The use of function notation is not required.)

F.A.1.a: Understand that a function assigns to each input exactly one output.

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

F.A.1.b: Determine if a relation is a function.

 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

F.A.1.c: Graph a function.

 Absolute Value with Linear Functions
 Exponential Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Exponential Functions
 Point-Slope Form of a Line
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Radical Functions
 Standard Form of a Line

F.A.3: Investigate the differences between linear and nonlinear functions.

F.A.3.a: Interpret the equation y = mx + b as defining a linear function, whose parameters are the slope (m) and the y-intercept (b).

 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Standard Form of a Line

F.A.3.b: Recognize that the graph of a linear function has a constant rate of change.

 Cat and Mouse (Modeling with Linear Systems)

F.A.3.c: Give examples of nonlinear functions.

 Absolute Value with Linear Functions
 Linear Functions

F.B: Use functions to model relationships between quantities.

F.B.1: Use functions to model linear relationships between quantities.

F.B.1.a: Explain the parameters of a linear function based on the context of a problem.

 Arithmetic Sequences
 Compound Interest

F.B.1.b: Determine the parameters of a linear function.

 Arithmetic Sequences
 Compound Interest

F.B.1.c: Determine the x-intercept of a linear function.

 Cat and Mouse (Modeling with Linear Systems)
 Linear Functions
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

F.B.2: Describe the functional relationship between two quantities from a graph or a verbal description.

 Absolute Value with Linear Functions
 Exponential Functions
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Exponential Functions
 Linear Functions
 Points, Lines, and Equations
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Radical Functions

Correlation last revised: 1/19/2017

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