M(N&O).10: Number and Operations

M(N&O).10.2: Demonstrates understanding of the relative magnitude of real numbers by solving problems involving ordering or comparing rational numbers, common irrational numbers (e.g., "square root" of 2, pi), rational bases with integer exponents, square roots, absolute values, integers, or numbers represented in scientific notation using number lines or equality and inequality symbols.

Comparing and Ordering Decimals
Rational Numbers, Opposites, and Absolute Values
Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

M(N&O).10.4: Accurately solves problems that involve but are not limited to proportional relationships, percents, ratios, and rates. (The problems might be drawn from contexts outside of and within mathematics including those that cut across content strands or disciplines.)

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Household Energy Usage
Part-to-part and Part-to-whole Ratios
Percent of Change
Real-Time Histogram

M(N&O).10.6: Uses a variety of mental computation strategies to solve problems. Calculates benchmark perfect squares and related square roots (e.g., 1², 2² , ..., 12², 15², 20², 25², 100², 1000²). Determines any whole number percentage of a number or any multiples of 100% up to 500%. Determines benchmark fractions of a number.

Square Roots

M(N&O).10.7: Makes appropriate estimates in a given situation by determining the level of accuracy needed and analyzing the accuracy of results. Estimates tips, discounts, and tax and estimates the value of a non-perfect square root or cube root.

Square Roots

M(G&M).10: Geometry and Measurement

M(G&M).10.4: Applies the concepts of congruency by solving problems on or off a coordinate plane involving reflections, translations, or rotations; or solves problems using congruency involving problems within mathematics or across disciplines or contexts.

Dilations
Holiday Snowflake Designer

M(G&M).10.6: Solves problems involving perimeter, circumference, or area of two-dimensional figures (including composite figures) or surface area or volume of three-dimensional figures (including composite figures) within mathematics or across disciplines or contexts.

Area of Triangles
Surface and Lateral Areas of Prisms and Cylinders

M(G&M).10.7: Uses units of measure appropriately and consistently when solving problems across content strands; makes conversions within or across systems and makes decisions concerning an appropriate degree of accuracy in problem situations involving measurement in other GSEs.

Unit Conversions

M(G&M).10.9: Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope.

Constructing Congruent Segments and Angles
Parallel, Intersecting, and Skew Lines
Slope
Slope-Intercept Form of a Line

M(G&M).10.10: Demonstrates conceptual understanding of spatial reasoning and visualization by sketching or using dynamic geometric software to generate three-dimensional objects from two-dimensional perspectives, or to generate two-dimensional perspectives from three-dimensional objects, or by solving related problems.

Surface and Lateral Areas of Prisms and Cylinders

M(F&A).10: Functions and Algebra

M(F&A).10.1: Identifies, extends, and generalizes a variety of patterns (linear and nonlinear) represented by models, tables, sequences, or graphs to solve problems.

Arithmetic and Geometric Sequences

M(F&A).10.2: Demonstrates conceptual understanding of linear and nonlinear functions and relations (including characteristics of classes of functions) through an analysis of constant, variable, or average rates of change, intercepts, domain, range, maximum and minimum values, increasing and decreasing intervals and rates of change (e.g., the height is increasing at a decreasing rate); describes how change in the value of one variable relates to change in the value of a second variable; or works between and among different representations of functions and relations (e.g., graphs, tables, equations, function notation).

Absolute Value with Linear Functions
Exponential Functions
General Form of a Rational Function
Graphs of Polynomial Functions
Introduction to Functions
Linear Functions
Logarithmic Functions
Radical Functions
Translating and Scaling Functions

M(F&A).10.3: Demonstrates conceptual understanding of algebraic expressions by solving problems involving algebraic expressions, by simplifying expressions (e.g., simplifying polynomial or rational expressions, or expressions involving integer exponents, square roots, or absolute values), by evaluating expressions, or by translating problem situations into algebraic expressions.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Simplifying Algebraic Expressions II
Simplifying Radical Expressions

M(F&A).10.4: Demonstrates conceptual understanding of equality by solving problems involving algebraic reasoning about equality; by translating problem situations into equations; by solving linear equations (symbolically and graphically) and expressing the solution set symbolically or graphically, or provides the meaning of the graphical interpretations of solution(s) in problem-solving situations; or by solving problems involving systems of linear equations in a context (using equations or graphs) or using models or representations.

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Circles
Linear Functions
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Solving Two-Step Equations
Square Roots
Standard Form of a Line
Using Algebraic Equations
Using Algebraic Expressions

M(DSP).10: Data, Statistics, and Probability

M(DSP).10.1: Interprets a given representation (e.g., box-and-whisker plots, scatter plots, bar graphs, line graphs, circle graphs, histograms, frequency charts) to make observations, to answer questions, to analyze the data to formulate or justify conclusions, critique conclusions, make predictions, or to solve problems within mathematics or across disciplines or contexts (e.g. media, workplace, social and environmental situations).

Box-and-Whisker Plots
Correlation
Histograms
Least-Squares Best Fit Lines
Polling: City
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Solving Using Trend Lines
Trends in Scatter Plots

M(DSP).10.2: Analyzes patterns, trends, or distributions in data in a variety of contexts by determining, using, or analyzing measures of central tendency (mean, median, or mode), dispersion (range or variation), outliers, quartile values, estimated line of best fit, regression line, or correlation (strong positive, strong negative, or no correlation) to solve problems; and solve problems involving conceptual understanding of the sample from which the statistics were developed.

Describing Data Using Statistics
Least-Squares Best Fit Lines
Polling: City
Populations and Samples

M(DSP).10.3: Identifies or describes representations or elements of representations that best display a given set of data or situation, consistent with the representations required in M(DSP)-10-1.

Reaction Time 1 (Graphs and Statistics)

M(DSP).10.4: Uses counting techniques to solve contextualized problems involving combinations or permutations (e.g., organized lists, tables, tree diagrams, models, Fundamental Counting Principle, or others).

Binomial Probabilities
Permutations and Combinations

M(DSP).10.5: Solves problems involving experimental or theoretical probability.

Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Theoretical and Experimental Probability

M(DSP).10.6: In response to a teacher or student generated question or hypothesis decides the most effective method (e.g., survey, observation, research, experimentation) and sampling techniques (e.g., random sample, stratified random sample) to collect the data necessary to answer the question; collects, organizes, and appropriately displays the data; analyzes the data to draw conclusions about the questions or hypotheses being tested while considering the limitations of the data that could effect interpretations; and when appropriate makes predications, asks new questions, or makes connections to real-world situations.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Geometric Probability
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots