9.M.1: Number and Operation

9.M.1.1: Understand and use numbers.

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

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

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

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

9.M.1.2: Perform computations accurately.

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

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.

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

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.

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

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

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.

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.

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

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

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.

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.

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

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.

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

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.

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

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.

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

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

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

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

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

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

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.

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

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

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.

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

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

9.M.5.4.2: Contrast experimental and theoretical 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.

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

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

Correlation last revised: 5/10/2018

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