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

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

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

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Square Roots

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

 Dividing Exponential Expressions
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

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

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Simplifying Algebraic Expressions II

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

 Translations

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

 Classifying Quadrilaterals
 Classifying Triangles
 Parallelogram Conditions
 Similar Figures
 Special Parallelograms

9-10.2.2: Determine congruence and similarity among geometric objects

 Circles
 Constructing Congruent Segments and Angles
 Perimeters and Areas of Similar Figures

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

 Cosine Function
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

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

 Cat and Mouse (Modeling with Linear Systems)
 Points in the Coordinate Plane
 Slope
 Slope-Intercept Form of a Line

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

 Cat and Mouse (Modeling with Linear Systems)
 Slope-Intercept Form of a Line

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)

 Dilations
 Rotations, Reflections, and Translations
 Translations

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

 Box-and-Whisker Plots
 Correlation
 Histograms
 Least-Squares Best Fit Lines
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in 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

 Box-and-Whisker Plots
 Correlation
 Histograms
 Least-Squares Best Fit Lines
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

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

 Polling: City
 Polling: Neighborhood

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

 Binomial Probabilities
 Permutations and Combinations

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

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

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

 Binomial Probabilities
 Independent and Dependent Events

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

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

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

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

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

 Correlation

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

 Dilations

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

 Unit Conversions

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

 Area of Triangles

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

 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

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

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

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

 Introduction to Functions
 Linear Functions

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

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Distance-Time Graphs
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Solving Equations on the Number Line
 Using Algebraic Equations

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)

 Addition and Subtraction of Functions

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

 Exponential Functions
 Radical Functions

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

 Compound Interest

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)

 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

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

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

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

 Cat and Mouse (Modeling with Linear Systems)
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Linear Programming
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Roots of a Quadratic
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Linear Inequalities in One Variable
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)
 Solving Two-Step Equations
 Systems of Linear Inequalities (Slope-intercept form)

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

 Area of Triangles
 Solving Formulas for any Variable

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

 Arithmetic Sequences
 Compound Interest

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

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Linear Inequalities in Two Variables
 Parabolas
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Quadratic Inequalities
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Radical Functions
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)

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

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope

Correlation last revised: 4/4/2018

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