10.M.1: Number and Operation

10.M.1.1: Understand and use numbers.

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

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

10.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 2 - Scientific Notation and Significant Digits

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

 Square Roots

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

 Finding Factors with Area Models
 Operations with Radical Expressions

10.M.1.2: Perform computations accurately.

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

 Solving Equations on the Number Line

10.M.2: Concepts and Principles of Measurement

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

10.M.2.1.1: Given the formulas, find the circumference, perimeter, or area of triangles, circles, and quadrilaterals, the volume of spheres, nonoblique prisms, cylinders, and cones, and the surface area of spheres, non-oblique prisms, cylinders, and right square-based pyramids.

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

10.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

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

10.M.2.2.1: Use rates, ratios, proportions, map scales, and scale factors (one- and two-dimensional) in problem-solving situations.

 Beam to Moon (Ratios and Proportions)
 Dilations
 Direct and Inverse Variation
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Points in the Coordinate Plane
 Similar Figures

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

 Estimating Population Size
 Perimeters and Areas of Similar Figures
 Similar Figures

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

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

10.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

10.M.3.2: Evaluate algebraic expressions.

10.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

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

10.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

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

10.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)

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

10.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

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

 Exponential Functions
 Radical Functions

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

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

 Absolute Value with Linear Functions
 Linear Functions
 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 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)

10.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

10.M.4: Concepts and Principles of Geometry

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

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

 Similar Figures

10.M.4.1.2: Recognize and use similarity as it relates to size variations in two- and three-dimensional objects.

 Dilations
 Similar Figures

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

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

 Points in the Coordinate Plane

10.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

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

 Correlation

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

10.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

10.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

10.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

10.M.4.5: Use reasoning skills.

10.M.4.5.1: Use logic to make and evaluate mathematical arguments.

 Biconditional Statements

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

10.M.5.1: Understand data analysis.

10.M.5.1.1: Analyze and interpret tables, charts, and graphs, including scatter plots, multiple 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

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

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

 Describing Data Using Statistics
 Stem-and-Leaf Plots

10.M.5.3: Apply simple statistical measurements.

10.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
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

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

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

 Independent and Dependent Events
 Theoretical and Experimental Probability

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

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

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

10.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

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

 Correlation

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

 Box-and-Whisker Plots
 Real-Time Histogram

Correlation last revised: 1/20/2017

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