6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

6.A: Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.4: Identify and apply the associative, commutative, distributive and identity properties of real numbers, including special numbers such as pi and square roots.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Operations with Radical Expressions
 Square Roots

6.D: Solve problems using comparison of quantities, ratios, proportions and percents.

6.D.4: Solve problems involving recipes or mixtures, financial calculations and geometric similarity using ratios, proportions and percents.

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Household Energy Usage
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Perimeters and Areas of Similar Figures
 Real-Time Histogram

7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

7.A: Measure and compare quantities using appropriate units, instruments and methods.

7.A.4b: Apply formulas in a wide variety of theoretical and practical real-world measurement applications involving perimeter, area, volume, angle, time, temperature, mass, speed, distance, density and monetary values.

 Area of Parallelograms
 Cat and Mouse (Modeling with Linear Systems)
 Circles
 Prisms and Cylinders

7.C: Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.

7.C.4c: Convert within and between measurement systems and monetary systems using technology where appropriate.

 Unit Conversions

8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

8.A: Describe numerical relationships using variables and patterns.

8.A.4b: Represent mathematical patterns and describe their properties using variables and mathematical symbols.

 Square Roots

8.B: Interpret and describe numerical relationships using tables, graphs and symbols.

8.B.4a: Represent algebraic concepts with physical materials, words, diagrams, tables, graphs, equations and inequalities and use appropriate technology.

 Absolute Value Equations and Inequalities
 Linear Functions
 Linear Inequalities in Two Variables
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable
 Using Algebraic Equations
 Using Algebraic Expressions

8.B.4b: Use the basic functions of absolute value, square root, linear, quadratic and step to describe numerical relationships.

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Linear Functions
 Radical Functions
 Translating and Scaling Functions

8.C: Solve problems using systems of numbers and their properties.

8.C.4a: Analyze and report the effects of changing coefficients, exponents and other parameters on functions and their graphs.

 Exponential Functions
 Introduction to Exponential Functions
 Points, Lines, and Equations
 Radical Functions
 Translating and Scaling Functions
 Zap It! Game

8.D: Use algebraic concepts and procedures to represent and solve problems.

8.D.4: Formulate and solve linear and quadratic equations and linear inequalities algebraically and investigate nonlinear inequalities using graphs, tables, calculators and computers.

 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Roots of a Quadratic
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Linear Inequalities in One Variable
 Solving Two-Step Equations
 Systems of Linear Inequalities (Slope-intercept form)

9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

9.A: Demonstrate and apply geometric concepts involving points, lines, planes and space.

9.A.4a: Construct a model of a three-dimensional figure from a two-dimensional pattern.

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

9.A.4b: Make perspective drawings, tessellations and scale drawings, with and without the use of technology.

 Dilations

9.C: Construct convincing arguments and proofs to solve problems.

9.C.4b: Construct and communicate convincing arguments for geometric situations.

 Biconditional Statements

9.D: Use trigonometric ratios and circular functions to solve problems.

9.D.4: Analyze and solve problems involving triangles (e.g., distances which cannot be measured directly) using trigonometric ratios.

 Cosine Function
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

10.A: Organize, describe and make predictions from existing data.

10.A.4a: Represent and organize data by creating lists, charts, tables, frequency distributions, graphs, scatterplots and box-plots.

 Box-and-Whisker Plots
 Correlation
 Describing Data Using Statistics
 Distance-Time Graphs
 Least-Squares Best Fit Lines
 Polling: City
 Populations and Samples
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

10.A.4b: Analyze data using mean, median, mode, range, variance and standard deviation of a data set, with and without the use of technology.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Polling: City
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

10.A.4c: Predict from data using interpolation, extrapolation and trend lines, with and without the use of technology.

 Correlation
 Solving Using Trend Lines
 Trends in Scatter Plots

10.B: Formulate questions, design data collection methods, gather and analyze data and communicate findings.

10.B.4: Design and execute surveys or experiments, gather data to answer relevant questions, and communicate results and conclusions to an audience using traditional methods and contemporary technology.

 Binomial Probabilities
 Correlation
 Polling: City

10.C: Determine, describe and apply the probabilities of events.

10.C.4a: Solve problems of chance using the principles of probability including conditional settings.

 Theoretical and Experimental Probability

10.C.4b: Design and conduct simulations (e.g., waiting times at restaurant, probabilities of births, likelihood of game prizes), with and without the use of technology.

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events

10.C.4c: Propose and interpret discrete probability distributions, with and without the use of technology.

 Polling: City

Correlation last revised: 5/10/2018

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