#### B.12: Number Operations and Relationships

B.12.1: Use complex counting procedures such as union and intersection of sets and arrangements (permutations and combinations) to solve problems

B.12.2: Compare real numbers using

B.12.2.a: order relations (>,<) and transitivity

B.12.2.d: ratios, proportions, percents, rates of change

#### C.12: Geometry

C.12.1: Identify, describe, and analyze properties of figures, relationships among figures, and relationships among their parts by

C.12.1.c: using appropriate transformations (e.g., translations, rotations, reflections, enlargements)

C.12.1.d: using reason and logic

C.12.4: Use the two-dimensional rectangular coordinate system and algebraic procedures to describe and characterize geometric properties and relationships such as slope, intercepts, parallelism, and perpendicularity

C.12.5: Identify and demonstrate an understanding of the three ratios used in right-triangle trigonometry (sine, cosine, tangent)

#### D.12: Measurement

D.12.1: Identify, describe, and use derived attributes (e.g., density, speed, acceleration, pressure) to represent and solve problem situations

D.12.2: Select and use tools with appropriate degree of precision to determine measurements directly within specified degrees of accuracy and error (tolerance)

D.12.3: Determine measurements indirectly, using

D.12.3.b: proportional reasoning, including those involving squaring and cubing (e.g., reasoning that areas of circles are proportional to the squares of their radii)

D.12.3.d: formulas in applications (e.g., for compound interest, distance formula)

D.12.3.e: geometric formulas to derive lengths, areas, or volumes of shapes and objects (e.g., cones, parallelograms, cylinders, pyramids)

D.12.3.f: geometric relationships and properties of circles and polygons (e.g., size of central angles, area of a sector of a circle)

#### E.12: Statistics and Probability

E.12.1: Work with data in the context of real-world situations by

E.12.1.b: designing a data collection plan that considers random sampling, control groups, the role of assumptions, etc.

E.12.2: Organize and display data from statistical investigations using

E.12.2.a: frequency distributions

E.12.2.b: percentiles, quartiles, deciles

E.12.3: Interpret and analyze information from organized and displayed data when given

E.12.3.c: measures of correlation

E.12.5: Determine the likelihood of occurrence of complex events by

E.12.5.a: using a variety of strategies (e.g., combinations) to identify possible outcomes

E.12.5.b: conducting an experiment

E.12.5.c: designing and conducting simulations

E.12.5.d: applying theoretical probability

#### F.12: Algebraic Relationships

F.12.1: Analyze and generalize patterns of change (e.g., direct and inverse variation) and numerical sequences, and then represent them with algebraic expressions and equations

F.12.2: Use mathematical functions (e.g., linear, exponential, quadratic, power) in a variety of ways, including

F.12.2.a: recognizing that a variety of mathematical and real-world phenomena can be modeled by the same type of function

F.12.2.c: describing the relationships among variable quantities in a problem

F.12.2.d: using appropriate technology to interpret properties of their graphical representations (e.g., intercepts, slopes, rates of change, changes in rates of change, maximum, minimum)

F.12.3: Solve linear and quadratic equations, linear inequalities, and systems of linear equations and inequalities

F.12.3.a: numerically

F.12.3.b: graphically, including use of appropriate technology

F.12.3.c: symbolically, including use of the quadratic formula

Correlation last revised: 11/13/2008

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