### B: Number Operations and Relationships

#### B.a: Concepts

B.a.1: Compare and order real numbers.

B.a.2: Analyze and solve problems using percents.

B.a.3: Apply proportional reasoning and ratios in mathematical and real-world contexts.

#### B.b: Computation

B.b.1: Compare, perform and explain operations on real numbers with and without context e.g., transitivity, rate of change, exponential functions, scientific notation, roots, powers, reciprocals, absolute value, ratios, proportions, percents.

B.b.2: Select and use appropriate properties, computational procedures, and modes of representation with and without context e.g., simple and compound interest, commission, percents, proportions.

### C: Geometry

#### C.a: Describing Figures

C.a.1: Identify, describe and analyze properties of 2 and 3 dimensional figures, relationships among figures and relationships among their parts (e.g., parallel, perpendicular and congruent sides, diagonals, various types of angles and triangles, complementary and supplementary angles, sum of angles in a triangle).

C.a.3: Model problems using the Pythagorean Theorem and right triangle trigonometry.

#### C.b: Spatial Relationships and Transformations

C.b.1: Use proportional reasoning to solve congruence and similarity problems (e.g., scale drawings and similar geometric figures).

C.b.2: Use transformations and symmetry to solve problems.

#### C.c: Coordinate Systems

C.c.1: Use the two-dimensional rectangular coordinate system to describe and characterize properties of geometric figures. Identify and apply symmetry about an axis.

C.c.2: Use the two-dimensional rectangular coordinate system and algebraic procedures to describe and characterize geometric properties and relationships (e.g., slope, intercepts, parallelism, and perpendicularity, Pythagorean Theorem, distance formula).

### D: Measurement

#### D.c: Indirect Measurement

D.c.1: Determine the perimeter/area of two-dimensional figures.

D.c.2: Determine the surface area/volume of three-dimensional figures.

D.c.3: Solve for angles, and segments in similar polygons and arcs in circles.

D.c.4: Use right-triangle trig functions and the Pythagorean Theorem to solve right-triangle problems.

D.c.5: Use formulas in applications (e.g., Distance Formula, simple and compound interest).

### E: Statistics and Probability

#### E.a: Data Analysis and Statistics

E.a.1: Organize, display, compare and interpret data in a variety of ways in mathematical and real-world contexts e.g., histograms, line graphs, stem-and-leaf plots, scatter plots, box-and whiskers, bar charts, Venn diagrams, tables, circle graphs.

E.a.2: Interpret, analyze and make predictions from organized and displayed data. e.g., measures of central tendency such as mean, median, mode, and, measures of variation such as standard deviation, mean, median, mode, range, dispersion, outliers, line of best fit, percentiles.

E.a.3: Analyze, evaluate and critique methods and conclusions of statistical experiments, e.g., randomness, sampling, techniques, surveys.

#### E.b: Probability

E.b.1: Determine the likelihood of occurrence of simple and complex events Ex: Combinations and permutations, fundamental counting principle, experimental versus theoretical probability and independent, dependent and conditional probability.

### F: Algebraic Relationships

#### F.a: Patterns, Relations and Functions

F.a.1: Describe, recognize, interpret and translate graphical representations of mathematical and real-world phenomena on coordinate grids, e.g., slope, intercepts, rate of change, linear and non-linear functions, and quadratic, exponential and constant functions.

F.a.2: Analyze, generalize and represent patterns of change, e.g., direct and inverse variations, including numerical sequences, patterns to a given term, algebraic expressions and equations.

#### F.b: Expressions, Equations and Inequalities

F.b.1: Solve linear and quadratic equations, linear inequalities and systems of linear equations and inequalities.

F.b.2: Model and solve a variety of mathematical and real-world problems by using algebraic expressions, equations and inequalities, e.g., linear, exponential, quadratic.

F.b.3: Translate between different representations and describe the relationship among variable quantities in a problem, e.g., tables, graphs, functional notations, formulas.

#### F.c: Properties

F.c.1: Demonstrate understanding of properties by evaluating and simplifying expressions.

F.c.2: Demonstrate understanding of properties by solving linear and quadratic equations, linear inequalities, and systems of linear equations and inequalities with one or two variables.

Correlation last revised: 5/31/2018

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