#### B.8: Number Operations and Relationships

B.8.1: Read, represent, and interpret various rational numbers (whole numbers, integers, decimals, fractions, and percents) with verbal descriptions, geometric models, and mathematical notation (e.g., expanded, scientific, exponential)

B.8.2: Perform and explain operations on rational numbers (add, subtract, multiply, divide, raise to a power, extract a root, take opposites and reciprocals, determine absolute value)

B.8.3: Generate and explain equivalencies among fractions, decimals, and percents

B.8.4: Express order relationships among rational numbers using appropriate symbols (>, <, "greater than or equal to", "less than or equal to", "not equal to")

B.8.5: Apply proportional thinking in a variety of problem situations that include, but are not limited to

B.8.5.a: ratios and proportions (e.g., rates, scale drawings, similarity)

B.8.5.b: percents, including those greater than 100 and less than one (e.g., discounts, rate of increase or decrease, sales tax)

B.8.6: Model and solve problems involving number-theory concepts such as

B.8.6.a: prime and composite numbers

B.8.7: In problem-solving situations, select and use appropriate computational procedures with rational numbers such as

B.8.7.b: estimating

#### C.8: Geometry

C.8.1: Describe special and complex two- and three-dimensional figures (e.g., rhombus, polyhedron, cylinder) and their component parts (e.g., base, altitude, and slant height) by

C.8.1.a: naming, defining, and giving examples

C.8.1.b: comparing, sorting, and classifying them

C.8.1.c: identifying and contrasting their properties (e.g., symmetrical, isosceles, regular)

C.8.1.e: explaining how these figures are related to objects in the environment

C.8.2: Identify and use relationships among the component parts of special and complex two- and three-dimensional figures (e.g., parallel sides, congruent faces).

C.8.3: Identify three-dimensional shapes from two-dimensional perspectives and draw two-dimensional sketches of three-dimensional objects preserving their significant features

C.8.4: Perform transformations on two-dimensional figures and describe and analyze the effects of the transformations on the figures

C.8.5: Locate objects using the rectangular coordinate system

#### D.8: Measurement

D.8.3: Determine measurement directly using standard units (metric and US Customary) with these suggested degrees of accuracy

D.8.3.a: lengths to the nearest mm or 1/16 of an inch

D.8.3.f: elapsed time to the nearest second

D.8.4: Determine measurements indirectly using

D.8.4.a: estimation

D.8.4.c: ratio and proportion (e.g., similarity, scale drawings)

D.8.4.d: geometric formulas to derive lengths, areas, volumes of common figures (e.g., perimeter, circumference, surface area)

D.8.4.e: the Pythagorean relationship

D.8.4.f: geometric relationships and properties for angle size (e.g., parallel lines and transversals; sum of angles of a triangle; vertical angles)

#### E.8: Statistics and Probability

E.8.2: Organize and display data from statistical investigations using

E.8.2.b: appropriate plots (e.g., line, stem-and-leaf, box, scatter)

E.8.3: Extract, interpret, and analyze information from organized and displayed data by using

E.8.3.a: frequency and distribution, including mode and range

E.8.3.b: central tendencies of data (mean and median)

E.8.5: Compare several sets of data to generate, test, and, as the data dictate, confirm or deny hypotheses

E.8.7: Determine the likelihood of occurrence of simple events by

E.8.7.a: using a variety of strategies to identify possible outcomes (e.g., lists, tables, tree diagrams)

E.8.7.b: conducting an experiment

E.8.7.c: designing and conducting simulations

E.8.7.d: applying theoretical notions of probability (e.g., that four equally likely events have a 25% chance of happening)

#### F.8: Algebraic Relationships

F.8.1: Work with algebraic expressions in a variety of ways, including

F.8.1.a: using appropriate symbolism, including exponents and variables

F.8.2: Work with linear and nonlinear patterns and relationships in a variety of ways, including

F.8.2.a: representing them with tables, with graphs, and with algebraic expressions, equations, and inequalities

F.8.2.b: describing and interpreting their graphical representations (e.g., slope, rate of change, intercepts)

F.8.2.c: using them as models of real-world phenomena

F.8.2.d: describing a real-world phenomenon that a given graph might represent

F.8.3: Recognize, describe, and analyze functional relationships by generalizing a rule that characterizes the pattern of change among variables. These functional relationships include exponential growth and decay (e.g., cell division, depreciation)

F.8.4: Use linear equations and inequalities in a variety of ways, including

F.8.4.a: writing them to represent problem situations and to express generalizations

F.8.4.b: solving them by different methods (e.g., informally, graphically, with formal properties, with technology)

F.8.4.d: using them to record and describe solution strategies

F.8.5: Recognize and use generalized properties and relations, including

F.8.5.a: additive and multiplicative property of equations and inequalities

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.