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