#### 8.1: Students understand and use basic and advanced concepts of number and number systems

8.1.2: Solve real-world problems involving ration, proportion, and percent

8.1.3: Identify perfect squares 1 to 144 and approximate square roots

8.1.4: Represent large and small numbers using scientific notation

8.1.5: Apply operation properties to simplify computations and solve problems; i.e., commutative, associative, and distributive

8.1.6: Apply the order of operations to simplify numeric expressions and solve problems

8.1.7: Add, subtract, multiply, and divide integers

8.1.8: Select and use a computational technique (e.g., mental calculation, paper-and-pencil, technology) to solve problems

#### 8.2: Student understands and applies geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations

8.2.1: Use nets to represent the relationships between two- and three-dimensional figures

8.2.2: Classify quadrilaterals based on side lengths, angle measures, and sets of parallel sides

8.2.3: Identify the angles formed and the relationships between the angles when parallel lines are intersected by a transversal

8.2.4: Apply the Pythagorean Theorem to problems involving right triangles

8.2.6: Draw the results of a combination of transformations in the coordinate plane; i.e., reflections, rotations, and translations

8.2.7: Use scale, proportion, and congruency to solve problems involving similar figures

8.2.8: Use two-dimensional representations of threedimensional objects to visualize and solve problems; e.g., those involving surface area and volume

#### 8.3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems

8.3.1: Formulate a question and select a random or representative sample

8.3.2: Collect, organize, and display data using scatter and stem-and-leaf plot

8.3.3: Determine possible outcomes using organized lists, tree diagrams, Venn diagrams, factorials, and the basic counting principle

8.3.4: Distinguish between experimental and theoretical probability; i.e., the results of an experiment may not match the theoretical probability

8.3.5: Calculate and compare the measures of central tendency (i.e., mean, median, mode) and spread (i.e., range)

8.3.7: Make inferences based on analysis of data and interpretation of graphs

#### 8.4: Students use concepts and tools of measurement to describe and quantify the world

8.4.2: Compare unit measurements between systems, e.g., a yard is almost a meter

8.4.3: Use formulas to determine the surface area and volume of right cones and spheres

#### 8.5: Students use algebraic concepts, functions, patterns, and relationships to solve problems

8.5.1: Extend numerical patterns; e.g., Pascal's triangle and the Fibonacci sequence

8.5.2: Use variables, expressions and equations to represent problem situations

8.5.3: Apply the order of operations and the commutative, associative, and distributive properties to simplify algebraic expressions

8.5.4: Apply inverse operations and the properties of equality to solve multi-step equations and inequalities in one variable

8.5.5: Write multi-step equations and inequalities to represent problem situations

Correlation last revised: 5/21/2018

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