Content Standards

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.

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

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

Quadratics in Vertex 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.

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

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.

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.

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.

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

Box-and-Whisker Plots

Real-Time Histogram

Correlation last revised: 5/10/2018