9.M.1: Number and Operation

9.M.1.1: Understand and use numbers.

9.M.1.1.1: Apply properties of rational numbers.

Rational Numbers, Opposites, and Absolute Values
Solving Algebraic Equations II

9.M.1.1.2: Use positive and negative numbers, absolute value, fractions, decimals, percentages, and scientific notation, including application in real world situations.

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Addition of Polynomials
Comparing and Ordering Decimals
Percent of Change
Rational Numbers, Opposites, and Absolute Values
Real-Time Histogram
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

9.M.1.1.4: Identify exact and approximate roots without simplification.

Square Roots

9.M.1.1.5: Solve problems using number theory concepts (factors, multiples, primes).

Finding Factors with Area Models
Operations with Radical Expressions

9.M.1.2: Perform computations accurately.

9.M.1.2.1: Use the order of operations and perform operations with rational numbers.

Solving Equations on the Number Line

9.M.2: Concepts and Principles of Measurement

9.M.2.1: Understand and use U.S. customary and metric measurements.

9.M.2.1.1: Given the formulas, find the circumference, perimeter, or area of triangles, circles, and quadrilaterals, and the volume and surface area of rectangular prisms and cylinders.

Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Perimeter and Area of Rectangles
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders

9.M.2.1.2: Solve problems involving circumference, perimeter, or area of triangles, circles, and rectangles.

Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Perimeter and Area of Rectangles
Perimeters and Areas of Similar Figures

9.M.2.2: Apply the concepts of rates, ratios, and proportions.

9.M.2.2.1: Use rates, ratios, proportions, and map scales in problem-solving situations.

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Household Energy Usage
Part-to-part and Part-to-whole Ratios
Points in the Coordinate Plane

9.M.2.2.2: Apply concepts of rates and direct and indirect measurements.

Estimating Population Size
Household Energy Usage
Perimeters and Areas of Similar Figures
Similar Figures

9.M.2.2.3: Construct equivalent units, comparable units, and conversions.

Unit Conversions

9.M.2.3: Apply dimensional analysis.

9.M.2.3.1: Use customary and metric units and their relationship to one another and to real world applications involving length, area, capacity, weight, time, and temperature.

Unit Conversions

9.M.3: Concepts and Language of Algebra and Functions

9.M.3.1: Use algebraic symbolism as a tool to represent mathematical relationships.

9.M.3.1.1: Represent mathematical relationships using variables, expressions, linear equations and inequalities.

Compound Interest
Linear Functions
Simplifying Algebraic Expressions II
Solving Equations by Graphing Each Side
Using Algebraic Equations

9.M.3.2: Evaluate algebraic expressions.

9.M.3.2.1: Use appropriate procedures for manipulating and simplifying algebraic expressions involving variables, integers, and rational numbers.

Dividing Exponential Expressions
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Multiplying Exponential Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations I

9.M.3.3: Solve algebraic equations and inequalities.

9.M.3.3.2: Differentiate between linear and nonlinear equations and graphs.

Absolute Value with Linear Functions
Linear Functions
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line
Points, Lines, and Equations
Solving Equations by Graphing Each Side
Standard Form of a Line

9.M.3.4: Understand the concept of functions.

9.M.3.4.1: Use appropriate procedures to solve linear systems of equations involving two variables; such as x + y = 7 and 2x + 3y = 21.

Solving Equations by Graphing Each Side
Solving Linear Systems (Standard Form)

9.M.3.5: Represent equations, inequalities and functions in a variety of formats.

9.M.3.5.1: Given graphs, charts, ordered pairs, mappings, or equations, determine whether a relation is a function.

Introduction to Functions
Linear Functions
Points, Lines, and Equations

9.M.3.5.3: Given a function, identify domain and range.

Exponential Functions
Radical Functions

9.M.3.6: Apply functions to a variety of problems.

9.M.3.6.1: Model and solve real-world phenomena using multistep, first degree, single variable equations and inequalities, linear equations, and two-variable linear systems of equations.

Absolute Value with Linear Functions
Linear Functions
Linear Inequalities in Two Variables
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Two-Step Equations
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form)

9.M.3.6.2: Use graphs and sequences to represent and solve problems.

Absolute Value with Linear Functions
Arithmetic Sequences
Geometric Sequences
Quadratics in Polynomial Form
Quadratics in Vertex Form

9.M.4: Concepts and Principles of Geometry

9.M.4.1: Apply concepts of size, shape, and spatial relationships.

9.M.4.1.1: Recognize congruency and similarity of two-dimensional figures.

Similar Figures

9.M.4.1.2: Recognize similarity as it relates to size variations in two-dimensional objects.

Dilations
Similar Figures

9.M.4.3: Apply graphing in two dimensions.

9.M.4.3.1: Identify attributes of the Cartesian Coordinate System, such as quadrants, origin, and axes.

Points in the Coordinate Plane

9.M.4.3.2: Graph scatter plots and identify informal trend lines (e.g., eyeball fit lines).

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

9.M.4.3.3: Identify positive and negative correlations.

Correlation

9.M.4.4: Represent and graph linear relationships.

9.M.4.4.1: Create graphs and equations for linear relationships.

Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

9.M.4.4.2: Represent linear relationships using tables, graphs, and mathematical symbols.

Compound Interest
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

9.M.4.4.3: Interpret attributes of linear relationships such as slope, rate of change, and intercepts.

Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line

9.M.5: Data Analysis, Probability, and Statistics

9.M.5.1: Understand data analysis.

9.M.5.1.1: Analyze and interpret tables, charts, and graphs, including scatter plots, broken line graphs, and box-and-whisker plots.

Box-and-Whisker Plots
Correlation
Least-Squares Best Fit Lines
Polling: City
Real-Time Histogram
Solving Using Trend Lines
Trends in Scatter Plots

9.M.5.2: Collect, organize, and display data.

9.M.5.2.1: Collect, organize, and display data in tables, charts, and graphs.

Describing Data Using Statistics
Distance-Time Graphs
Stem-and-Leaf Plots

9.M.5.3: Apply simple statistical measurements.

9.M.5.3.1: Interpret and use basic statistical concepts, including mean, median, mode, range, and distribution of data, including outliers.

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

9.M.5.4: Understand basic concepts of probability.

9.M.5.4.1: Find probabilities based on dependent, independent, and compound events.

Independent and Dependent Events
Theoretical and Experimental Probability

9.M.5.4.2: Contrast experimental and theoretical probability.

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

9.M.5.5: Make predictions or decisions based on data.

9.M.5.5.1: Make predictions based on randomness, chance, equally likely events, and probability.

Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

9.M.5.5.2: Use appropriate tools/technology to conduct simulations and employ graphical models to make predictions or decisions based on data.

Correlation

9.M.5.5.3: Design, conduct, and interpret results of statistical experiments.

Box-and-Whisker Plots
Real-Time Histogram