6A: Students who meet the standard can demonstrate knowledge and use of numbers and their many representations in a broad range of theoretical and practical settings. (Representations)

6A.1: Illustrate the relationship between second and third roots and powers of a number.

 Square Roots

6A.3: Represent, order, and compare real numbers.

 Comparing and Ordering Decimals
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

6B: Students who meet the standard can investigate, represent and solve problems using number facts, operations, and their properties, algorithms, and relationships. (Operations and properties)

6B.1: Compare and contrast the properties of numbers and number systems, including the rational and the real numbers.

 Rational Numbers, Opposites, and Absolute Values
 Solving Algebraic Equations I
 Solving Algebraic Equations II

6B.2: Determine an appropriate numerical representation of a problem situation, including roots and powers, if applicable.

 Operations with Radical Expressions
 Square Roots
 Using Algebraic Expressions

6B.4: Solve problems using simple matrix operations (addition, subtraction, scalar multiplication).

 Translations

6D: Students who meet the standard can solve problems using comparison of quantities, ratios, proportions, and percents.

6D.1: Explain how ratios and proportions can be used to solve problems of percent, growth, and error tolerance.

 Beam to Moon (Ratios and Proportions)
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents, Fractions, and Decimals

6D.2: Set up and solve proportions for direct and inverse variation of simple quantities.

 Direct and Inverse Variation

7A: Students who meet the standard can measure and compare quantities using appropriate units, instruments, and methods. (Performance and conversion of measurements)

7A.2: Convert between the U.S. customary and metric systems given the conversion factor.

 Unit Conversions

7C: Students who meet the standard can select and use appropriate technology, instruments, and formulas to solve problems, interpret results, and communicate findings. (Progression from selection of appropriate tools and methods to application of measurements

7C.1: Solve problems using indirect measurement by choosing appropriate technology, instruments, and/or formulas.

 Estimating Population Size
 Perimeters and Areas of Similar Figures
 Similar Figures

7C.4: Determine linear measures, perimeters, areas, surface areas, and volumes of similar figures using the ratio of similitude.

 Perimeters and Areas of Similar Figures
 Similar Figures

7C.5: Determine the ratio of similar figure perimeters, areas, and volumes using the ratio of similitude.

 Beam to Moon (Ratios and Proportions)
 Perimeters and Areas of Similar Figures
 Similar Figures

7C.6: Calculate by an appropriate method the length, width, height, perimeter, area, volume, surface area, angle measures, or sums of angle measures of common geometric figures, or combinations of common geometric figures.

 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones
 Triangle Angle Sum

7C.7: Solve problems involving multiple rates, measures, and conversions.

 Estimating Population Size
 Unit Conversions

8A: Students who meet the standard can describe numerical relationships using variables and patterns. (Representations and algebraic manipulations)

8A.2: Represent and explain mathematical relationships using symbolic algebra.

 Square Roots

8A.3: Model and describe slope as a constant rate of change.

 Cat and Mouse (Modeling with Linear Systems)
 Distance-Time and Velocity-Time Graphs
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

8A.5: Create an equation of a line of best fit from a set of ordered pairs or set of data points.

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

8A.6: Simplify algebraic expressions using a variety of methods, including factoring.

 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Factoring Special Products
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Order of Operations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

8A.9: Represent relationships arising from various contexts using algebraic expression.

 Compound Interest

8B: Students who meet the standard can interpret and describe numerical relationships using tables, graphs, and symbols. (Connections of representations including the rate of change)

8B.2: Interpret the role of the coefficients and constants on the graph of linear and quadratic functions given a set of equations.

 Roots of a Quadratic
 Zap It! Game

8B.3: Relate the effect of translations on linear graphs and equations.

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Translating and Scaling Sine and Cosine Functions

8B.5: Recognize and describe the general shape and properties of the graphs of linear, absolute value, and quadratic functions.

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Exponential Functions
 Function Machines 3 (Functions and Problem Solving)
 Graphs of Polynomial Functions
 Linear Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Slope-Intercept Form of a Line
 Translating and Scaling Functions
 Zap It! Game

8B.6: Approximate and interpret rates of change from graphical and numerical data.

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

8B.7: Identify slope in an equation and from a table of values.

 Cat and Mouse (Modeling with Linear Systems)
 Function Machines 2 (Functions, Tables, and Graphs)
 Introduction to Functions
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

8B.8: Graph absolute values of linear functions on the Cartesian plane.

 Absolute Value with Linear Functions

8B.9: Recognize direct variation, inverse variation, linear, and exponential curves from their graphs, a table of values, or equations.

 Absolute Value with Linear Functions
 Direct and Inverse Variation
 Exponential Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Modeling and Solving Two-Step Equations
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Solving Equations by Graphing Each Side
 Standard Form of a Line

8C: Students who meet the standard can solve problems using systems of numbers and their properties. (Problem solving)

8C.1: Describe and compare the properties of linear and quadratic functions.

 Addition and Subtraction of Functions
 Linear Functions

8C.2: Solve problems by recognizing how an equation changes when parameters change.

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Translating and Scaling Functions

8C.3: Interpolate and extrapolate to solve problems using systems of numbers.

 Estimating Population Size

8C.4: Solve problems using translations and dilations on basic functions.

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Rational Functions
 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions
 Translations

8D: Students who meet the standard can use algebraic concepts and procedures to represent and solve problems. (Connection of 8A, 8B, and 8C to solve problems)

8D.1: Solve equivalent forms of equations, inequalities, and systems of equations with fluency—mentally or with paper-and-pencil in simple cases and using technology in all cases.

 Circles
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)

8D.3: Solve simple quadratic equations using algebraic or graphical representations.

 Quadratics in Polynomial Form
 Roots of a Quadratic

8D.4: Solve problems of direct variation situations using a variety of methods.

 Determining a Spring Constant
 Direct and Inverse Variation

9A: Students who meet the standard can demonstrate and apply geometric concepts involving points, lines, planes, and space. (Properties of single figures, coordinate geometry and constructions)

9A.1: Describe and apply properties of a polygon or a circle in a problem-solving situation.

 Chords and Arcs
 Circles

9A.3: Analyze geometric situations using Cartesian coordinates.

 Points in the Coordinate Plane
 Slope

9A.4: Represent transformations of an object in the plane using sketches, coordinates, and vectors.

 Circles
 Dilations
 Rotations, Reflections, and Translations
 Translations

9A.5: Design a net that will create a given figure when folded.

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

9A.10: Identify and apply properties of medians, altitudes, angle bisectors, perpendicular bisectors, and midlines of a triangle.

 Concurrent Lines, Medians, and Altitudes
 Constructing Parallel and Perpendicular Lines
 Isosceles and Equilateral Triangles
 Segment and Angle Bisectors
 Similarity in Right Triangles
 Triangle Angle Sum
 Triangle Inequalities

9B: Students who meet the standard can identify, describe, classify and compare relationships using points, lines, planes, and solids. (Connections between and among multiple geometric figures)

9B.1: Solve problems using triangle congruence and similarity of figures.

 Congruence in Right Triangles
 Constructing Congruent Segments and Angles
 Perimeters and Areas of Similar Figures
 Proving Triangles Congruent
 Similar Figures
 Similarity in Right Triangles

9B.3: Identify relationships among circles, arcs, chords, tangents, and secants.

 Chords and Arcs
 Inscribed Angles

9C: Students who meet the standard can construct convincing arguments and proofs to solve problems. (Justifications of conjectures and conclusions)

9C.1: Create and critique arguments concerning geometric ideas and relationships such as properties of circles, triangles and quadrilaterals.

 Circles
 Classifying Quadrilaterals
 Concurrent Lines, Medians, and Altitudes
 Inscribed Angles
 Parallelogram Conditions
 Polygon Angle Sum
 Triangle Angle Sum

9D: Students who meet the standard can use trigonometric ratios and circular functions to solve problems.

9D.1: Determine distances and angle measures using indirect measurement and properties of right triangles.

 Cosine Function
 Similar Figures
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

9D.2: Solve problems using 45 degree-45 degree-90 degree and 30 degree-60 degree-90 degree triangles.

 Cosine Function
 Sine Function
 Tangent Function

10A: Students who meet the standard can organize, describe and make predictions from existing data. (Data analysis)

10A.2: Display a scatter plot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients for bivariate measurement data using technological tools.

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

10A.3: Evaluate published reports that are based on data by examining the design of the study, the appropriateness of the data analysis, and the validity of conclusions.

 Polling: City
 Polling: Neighborhood
 Populations and Samples

10A.4: Analyze two-variable data for linear or quadratic fit.

 Least-Squares Best Fit Lines
 Solving Using Trend Lines

10A.5: Make decisions based on data, including the relationships of correlation and causation.

 Box-and-Whisker Plots
 Correlation

10B: Students who meet the standard can formulate questions, design data collection methods, gather and analyze data and communicate findings. (Data Collection)

10B.1: Describe the characteristics of well-designed studies, including the role of randomization in surveys and experiments.

 Polling: City
 Polling: Neighborhood

10B.2: Discuss informally different populations and sampling techniques.

 Polling: City

10C: Students who meet the standard can determine, describe and apply the probabilities of events. (Probability including counting techniques)

10C.1: Determine geometric probability based on area.

 Geometric Probability

10C.4: Construct empirical probability distributions using simulations.

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events
 Polling: City
 Probability Simulations
 Theoretical and Experimental Probability

10C.5: Describe the concepts of conditional probability.

 Independent and Dependent Events

10C.6: Develop an understanding of permutations and combinations as counting techniques.

 Binomial Probabilities
 Permutations and Combinations

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.