#### 9-10.1: Students understand and use basic and advanced concepts of number and number systems

9-10.1.1: Express numbers between one-billionth and one billion in fraction, decimal, and verbal form; express numbers of all magnitudes in scientific notation

9-10.1.3: Identify the properties of the real number system; i.e., commutative, associative, distributive, closure, inverse, and identity properties

9-10.1.5: Use the order of operations and properties of exponents to simplify an algebraic expression

9-10.1.7: Apply basic properties of exponents to simplify algebraic expressions; i.e., power of a product, power of a power, products and quotients of powers, zero and negative exponents

9-10.1.11: Add, subtract, and perform scalar multiplication on matrices

#### 9-10.2: Student understands and applies geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations

9-10.2.1: Identify the properties and attributes of two- and three-dimensional objects that distinguish one from another; e.g., a cylinder has two parallel circular bases

9-10.2.2: Determine congruence and similarity among geometric objects

9-10.2.3: Use trigonometric relationships and the Pythagorean Theorem to determine side lengths and angle measures in right triangles

9-10.2.5: Use Cartesian coordinates to determine distance, midpoint, and slope

9-10.2.6: Use distance, midpoint, and slope to determine relationships between points, lines, and plane figures in the Cartesian coordinate system; e.g., determine whether a triangle is scalene, isosceles, or equilateral given the coordinates of its vertices

9-10.2.7: Identify and perform transformations of objects in the plane using sketches (translations, reflections, rotations, and dilations) and coordinates (translations, reflections, and dilations)

#### 9-10.3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems

9-10.3.1: Construct appropriate displays of given data; i.e., circle graphs, bar graphs, histograms, stem-and-leaf plots, box-andwhisker plots, and scatter plots

9-10.3.2: Interpret a given visual representation (i.e., circle graphs, bar graphs, histograms, stem-and-leaf plots, box-andwhisker plots, and scatter plots) of a set of data

9-10.3.3: Identify the variable, sample, and population in a well-designed study; e.g., in an exit poll for a tax increase, the variable is the outcome of the vote, the sample is the set of people surveyed, the population is the set of all voters

9-10.3.4: Determine the number of possible outcomes for a given event, using appropriate counting techniques; e.g., fundamental counting principle, factorials, combinations, permutations

9-10.3.5: Calculate experimental and theoretical probabilities with and without replacement

9-10.3.6: Calculate probabilities of compound events using addition and multiplication rules

9-10.3.7: Calculate measures of central tendency and spread; i.e., mean, median, mode, range, and quartiles

9-10.3.9: Select two points and approximate an equation for the line of best fit (if appropriate) for a set of data

9-10.3.10: Identify the trend of a set of data and estimate the strength of the correlation between two variables; e.g., strong vs. weak, positive vs. negative

#### 9-10.4: Students use concepts and tools of measurement to describe and quantify the world

9-10.4.2: Describe the effects of scalar change on the area and volume of a figure; e.g., the effect of doubling one or more edges of a solid on its surface area and volume

9-10.4.4: Given a conversion factor, convert between standard and metric measurements

9-10.4.8: Given a formula list, compute the area of a regular polygon

9-10.4.9: Given a formula list, compute the surface area and volume of a right prism, right cylinder, right pyramid, right cone, and sphere

#### 9-10.5: Students use algebraic concepts, functions, patterns, and relationships to solve problems

9-10.5.1: Given the explicit and/or the recursive definition of a sequence, generate a specific term (explicit formula only) or a specified number of terms

9-10.5.2: Express relations and functions using a variety of representations; i.e., numeric, graphic, symbolic, and verbal

9-10.5.3: Determine whether a relation is a function by examining various representations of the relation; e.g., table, graph, equation, set of ordered pairs

9-10.5.4: Perform the operations of addition, subtraction, multiplication, and division on algebraic functions; e.g., given f(x) = 2x and g(x) = 5x – 7, find f(x) + g(x)

9-10.5.5: Identify the independent variable, dependent variable, domain, and range of a function

9-10.5.6: Draw graphs of linear and quadratic functions using paper and pencil, labeling key features; e.g., graph a line and label its x-intercept and y-intercept, graph a parabola and label its vertex and one point on each side of the vertex

9-10.5.7: Use algebraic expressions, equations, or inequalities involving one or two variables to represent relationships (e.g., given a verbal statement, write an equivalent algebraic expression or equation) found in various contexts (e.g., time and distance problems, mixture problems)

9-10.5.8: Manipulate algebraic expressions and equations using properties of real numbers; e.g., simplify, factor

9-10.5.9: Solve linear equations and inequalities, systems of two linear equations or inequalities, and quadratic equations having rational solutions; e.g., factoring, quadratic formula

9-10.5.10: Solve a literal equation for a specified variable; e.g., solve I = prt for r, or solve 7n + p = t for

9-10.5.11: Use essential quantitative relationships in a situation to determine whether the relationship can be modeled by a linear function; e.g., simple interest is linear, compound interest is not linear

9-10.5.12: Graphically represent the solution or solutions to an equation, inequality, or system

9-10.5.15: Approximate and interpret rates of change from graphical and numerical data

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.