#### 12.2: Computation/Estimation

12.2.1: Solve theoretical and applied problems using numbers in equivalent forms, radicals, exponents, scientific notation, absolute values, fractions, decimals, and percents, ratios and proportions, order of operations, and properties of real numbers.

#### 12.3: Measurement

12.3.1: Select and use measuring units, tools, and/or technology and explain the degree of accuracy and precision of measurements.

12.3.1.B: Explain the precision of the measurement tool.

12.3.2: Convert between metric and standard units of measurement, given conversion factors.

12.3.2.B: Change miles/hours to meters/second.

#### 12.4: Geometry/Spatial Concepts

12.4.1: Calculate perimeter and area of two-dimensional shapes and surface area and volume of three-dimensional shapes.

12.4.2: Create geometric models to describe the physical world.

12.4.2.B: Create scale models.

12.4.3: Evaluate characteristics and properties of two-and three-dimensional geometric shapes.

12.4.3.A: Classify and compare attributes of two- and three-dimensional shapes.

12.4.3.B: Classify shapes in terms of congruence and similarity and apply these relationships.

12.4.3.C: Determine the effects of changing dimensions on perimeter, area, and volume.

12.4.3.D: Investigate and deduce geometric properties using transformations such as translations, rotations, and reflections.

12.4.4: Apply coordinate geometry to locate and describe objects algebraically.

12.4.4.A: Graph a geometric shape and determine the slope of the sides.

12.4.5: Apply right triangle trigonometry to find length and angle measures.

12.4.6: Apply geometric properties to solve problems.

12.4.6.A: Find missing angles and lengths of geometric shapes using geometric properties. (Properties may include, but are not limited to, similarity, parallel and line-transversal).

#### 12.5: Data Analysis, Probability, and Statistical Concepts

12.5.2: Write equations and make predictions from sets of data.

12.5.2.A: Display data in a scatter plot, describe its shape, and estimate how close the data comes to fitting an equation.

12.5.2.B: Relate the slope of a regression line to the rate of change for the data set.

12.5.3: Apply theoretical probability to represent problems and make decisions.

12.5.3.A: Explain the likelihood of the next event based on theoretical probabilities.

12.5.4: Evaluate how transformations on data affect the measures of central tendency and variability.

12.5.4.A: Describe how adding the same amount to each score changes the mean, median, mode, range, outliers, interquartile points, maximum, and minimum.

12.5.6: Calculate probabilities of independent events.

12.5.6.A: Calculate probabilities using the fundamental counting principle and permutations.

#### 12.6: Algebraic Concepts

12.6.1: Graph and interpret algebraic relations and inequalities.

12.6.1.A: Describe a graph by identifying intercepts, slopes, maximum, minimum, increasing, decreasing, parallel, and perpendicular.

12.6.1.B: Use families of curves to describe the effect of changing coefficients of an equation.

12.6.2: Solve problems involving equations and inequalities.

12.6.2.A: Use appropriate methods to solve linear and quadratic equations.

12.6.3: Solve problems involving systems of two equations, and systems of two or more inequalities.

12.6.3.A: Solve systems by graphing, substitution, elimination, or matrices.

12.6.4: Solve problems using patterns and functions.

12.6.4.A: Apply direct and indirect variations.

12.6.4.B: Recognize the properties of families of functions.

12.6.4.C: Recognize patterns of exponential growth and decay and their significance to real-life situations.

Correlation last revised: 11/13/2008

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