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

#### II.A: Number Sense

II.A.1: Order and compare integers, fractions, decimals and mixed numbers with >, <, and =. Locate and compare positive and negative rational numbers on a number line.

#### II.B: Computation and Operation

II.B.1: Determine the prime factorization of positive integers.

II.B.3: Use addition, subtraction, multiplication and division of multi-digit whole and decimal numbers to solve multi-step real-world and mathematical problems.

II.B.4: Multiply and divide, without a calculator, numbers containing up to three digits by numbers containing up to two digits, such as 347 / 83 or 4.91 x 9.2.

II.B.7: Add, subtract, multiply and divide common fractions and mixed numbers as well as fractions where the common denominator equals one of the denominators.

II.B.8: Find, represent and use percentages in real-world and mathematical problems, including percentages greater than 100% and less than 1%.

II.B.9: Apply the correct order of operations and grouping symbols when using calculators and other technologies.

II.B.11: 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: Demonstrate understanding of the four quadrants in a rectangular coordinate system by writing and plotting ordered pairs.

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

III.B.1: Apply the correct order of operations including addition, subtraction, multiplication, division and grouping symbols to simplify and evaluate numeric expressions.

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

#### IV.A: Data and Statistics

IV.A.1: Collect, organize and represent categorical and numerical data with tables and bar graphs.

IV.A.2: Understand the differences and appropriate use of mean, median and mode.

IV.A.3: Find the median and possible outliers.

#### IV.B: Probability

IV.B.1: Generate and display data in graphs and tables to estimate experimental probabilities.

IV.B.2: Represent all possible outcomes for a probability problem with tables, grids and tree diagrams to calculate probabilities and draw conclusions from the results.

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

#### V.A: Spatial Sense

V.A.1: Create models of three-dimensional geometric shapes from two-dimensional representations.

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

V.A.3: Identify symmetries in three-dimensional shapes.

#### V.B: Geometry

V.B.1: Use facts about angles including the relationship between complementary angles, supplementary angles and the angles within triangles to solve real-world and mathematical problems.

V.B.2: Classify triangles as equilateral, isosceles or scalene, and right, acute or obtuse.

V.B.3: Find the area and circumference of a circle given the radius or diameter using common approximations of pi where appropriate.

V.B.4: Measure, identify, and draw perpendicular and parallel lines, angles and rectangles by using appropriate tools such as straightedge, ruler, compass, protractor or software.

#### V.C: Measurement

V.C.3: Find the area and perimeter of rectangles, squares, triangles and parallelograms by measuring, using a grid or using a formula.

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.