#### 8.NSO-N: Number Sense

8.NSO-N.1: Explain the properties of and compute with real numbers expressed in a variety of forms.

8.NSO-N.3: Know that the absolute value is the distance of the number from 0; determine the absolute value and additive inverse of real numbers; determine the absolute value of rational numbers.

8.NSO-N.4: Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10), and use them in calculations and problem situations.

8.NSO-N.5: Define, compare, order, and apply frequently used irrational numbers, such as square root of 2 and pi (e.g., show that if pi is known to be irrational, then 3pi and pi/3 also are irrational).

8.NSO-N.6: Use the laws of exponents for integer exponents (e.g., write 2² x 2³ as 2 x 2 x ... and then as a single power of 2; write 2 to the -3 power as a fraction).

8.NSO-N.7: Demonstrate an understanding of the properties of arithmetic operations on rational numbers.

#### 8.NSO-C: Computation and Operations

8.NSO-C.11: Solve problems that involve markups, commissions, profits, and simple and compound interest.

8.NSO-C.13: Use the inverse relationship between squaring and finding the square root of a perfect square integer to solve problems.

8.NSO-C.14: Multiply and divide numbers written in scientific notation.

8.NSO-C.15: Select and use appropriate operations — addition, subtraction, multiplication, division, and positive integer exponents — to solve problems with rational numbers, including negative rationals.

#### 8.NSO-E: Estimation

8.NSO-E.16: Estimate and solve problems with square roots; find square roots of perfect squares and approximate the square roots of nonperfect squares by locating them between consecutive integers.

#### 8.PRA: Patterns, Relations, and Algebra

8.PRA.1: Use tables and graphs to represent and compare linear growth patterns. In particular, compare rates of change and x- and y-intercepts of different linear patterns.

8.PRA.2: Set up and solve linear equations and inequalities with one or two variables using algebraic methods and graphs.

8.PRA.3: Use linear equations to model and analyze problems involving proportional relationships.

8.PRA.4: Identify the slope of a line as a measure of its steepness and as a constant rate of change from its table of values, equation, or graph. Apply the concept of slope to the solution of problems.

8.PRA.6: Distinguish between numerical and algebraic expressions, equations, and inequalities.

8.PRA.9: Graph a linear equation using ordered pairs; identify and represent the graphs of linear functions.

#### 8.G: Geometry

8.G.2: Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal.

8.G.3: Demonstrate an understanding of conditions that indicate two triangles are similar: the corresponding angles are congruent (AAA similarity); the ratios of two pairs of corresponding sides are equal and the included angles are congruent (SAS similarity); ratios of all pairs of corresponding sides are equal (SSS similarity).

8.G.5: Apply spatial reasoning by recognizing and drawing two-dimensional representations of three-dimensional objects (e.g., nets, projections, and perspective drawings of cylinders, prisms, and cones).

8.G.6: Find the distance between two points on the coordinate plane using the distance formula; find the midpoint of the line segment; recognize that the distance formula is an application of the Pythagorean theorem.

#### 8.M: Measurement

8.M.2: Understand the concept of surface area and volume; given the formulas, determine the surface area and volume of rectangular prisms, cylinders, and spheres.

8.M.4: Solve problems about similar figures and scale drawings. Understand that when the lengths of all dimensions of an object are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor.

8.M.5: Understand and use the fact that when two polygons or circles are similar with scale factor of r, their areas are related by a factor of r2.

8.M.6: Use proportions to express relationships between corresponding parts of similar figures.

#### 8.DASP: Data Analysis, Statistics, and Probability

8.DASP.1: Revisit measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data and then observe the change in each when an “outlier” is adjoined to the data set or removed from it. Use these notions to compare different sets of data and explain how each can be useful in a different way to summarize social phenomena such as price levels, clothing sizes, and athletic performances.

8.DASP.2: Select, create, interpret, and use various tabular and graphical representations of data (e.g., scatterplots, box-and-whisker plots).

8.DASP.7: Understand the difference between independent and dependent events, and recognize common misconceptions involving probability.

Correlation last revised: 5/9/2018

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