### 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.

#### 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.

### 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.

#### 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.

### 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.

#### 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.

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

#### 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.

#### 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.

### 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.

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

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

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

#### 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.

### 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.

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.

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

#### 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.

#### 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.

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.

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

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.