### II: Number Sense, Computation, and Operations

#### II.A: Number Sense

II.A.1: Represent and compare rational and irrational numbers symbolically and on a number line.

#### II.B: Computation and Operation

II.B.2: Find integer approximations of square roots of positive integers without a calculator.

II.B.5: Apply the correct order of operations and grouping symbols when using calculators and other technologies.

II.B.7: Understand that use of a calculator requires appropriate mathematical reasoning and does not replace the need for mental computation.

### III: Patterns, Functions, and Algebra

#### III.A: Patterns and Functions

III.A.1: Recognize when a list of numbers forms an arithmetic or geometric progression and be able to determine subsequent terms in the progression.

III.A.2: Represent quantitative relationships graphically and use the graphs to solve real-world and mathematical problems.

III.A.3: Generate a table of values from a formula and graph the resulting ordered pairs on a grid.

#### III.B: Algebra (Algebraic Thinking)

III.B.3: Use proportions and percents with one unknown quantity to solve real-world and mathematical problems.

III.B.4: Apply the correct order of operations including addition, subtraction, multiplication, division, grouping symbols and powers, to simplify and evaluate algebraic expressions.

### IV: Data Analysis, Statistics, and Probability

#### IV.A: Data and Statistics

IV.A.1: Construct and analyze histograms, circle graphs, stem-and-leaf plots and box-and-whisker plots.

IV.A.2: Compute the quartiles of a data set.

#### IV.B: Probability

IV.B.1: Understand that if p is the probability of an event occurring, then 1 - p is the probability of the event not occurring.

IV.B.2: Convert between odds and probabilities.

IV.B.3: Use a variety of experiments to explore the relationship between experimental and theoretical probabilities and the effect of sample size on this relationship.

### V: Spatial Sense, Geometry, and Measurement

#### V.A: Spatial Sense

V.A.1: Use models and visualization to understand and create various two-dimensional diagrams of three-dimensional shapes.

V.A.2: Predict the position and orientation of simple three-dimensional geometric shapes under transformations such as reflections, rotations and translations.

#### V.B: Geometry

V.B.1: Apply the relationship between changes in one or more linear distances in a planar figure and the change in area.

V.B.2: Use the concept of similarity in simple two-dimensional figures to solve real-world and mathematical problems involving proportionality.

V.B.3: Know how to find the volumes of cubes, prisms, spheres and cylinders.

V.B.4: Know how to find the surface areas of cubes, prisms and cylinders.

V.B.5: Calculate perimeter and area of two-dimensional figures obtained by putting together triangles, parallelograms, and sectors of circles to solve real-world and mathematical problems.

#### V.C: Measurement

V.C.2: Use arithmetic to solve simple real-world and mathematical problems involving mixed units such as minutes and hours in elapsed time, degrees and minutes in latitude and longitude and feet and inches in distance.

Correlation last revised: 10/24/2008

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