MN&O?HS?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

MN&O?HS?4: Accurately solves problems involving rational numbers within mathematics, across content strands, disciplines or contexts (with emphasis on, but not limited to, proportions, percents, ratios, and rates).

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios
Percent of Change

MG&M?HS?2: Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines, polygons, circles, or right triangle ratios (sine, cosine, tangent) within mathematics or across disciplines or contexts (e.g., Pythagorean Theorem, Triangle Inequality Theorem).

Circles
Sine, Cosine, and Tangent Ratios

MG&M?HS?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.

Holiday Snowflake Designer

MG&M?HS?5: Applies concepts of similarity by solving problems within mathematics or across disciplines or contexts.

Circles

MG&M?HS?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

MG&M?HS?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 GEs.

Unit Conversions

MG&M?HS?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

MF&A?HS?1: Identifies, extends, and generalizes a variety of patterns (linear and nonlinear) represented by models, tables, sequences, or graphs in problem solving situations.

Finding Patterns

MF&A?HS?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).

Compound Interest
Direct and Inverse Variation
Exponential Functions
General Form of a Rational Function
Graphs of Polynomial Functions
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Logarithmic Functions
Points, Lines, and Equations
Radical Functions
Translating and Scaling Functions

MF&A?HS?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.

Compound Interest
Dividing Exponential Expressions
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Exponents and Power Rules
Modeling the Factorization of ax²+bx+c
Multiplying Exponential Expressions
Operations with Radical Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Simplifying Radical Expressions
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

MF&A?HS?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
Cat and Mouse (Modeling with Linear Systems)
Linear Functions
Linear Inequalities in Two Variables
Solving Equations on the Number Line
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Using Algebraic Equations

MDSP?HS?1: Interprets a given representation(s) (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
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

MDSP?HS?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.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Least-Squares Best Fit Lines
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

MDSP?HS?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)?HS?1.

Box-and-Whisker Plots
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots

MDSP?HS?4: Uses counting techniques to solve problems in context involving combinations or permutations using a variety of strategies (e.g., organized lists, tables, tree diagrams, models, Fundamental Counting Principle, or sc others).

Binomial Probabilities
Compound Inequalities
Permutations and Combinations

MDSP?HS?5: Solves problems involving experimental or theoretical probability.

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