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