MHS:1: Accurately solves problems involving conceptual understanding and magnitude of real numbers, or simple vectors.

Adding Vectors

MHS:4: Accurately solves problems involving proportional reasoning or percents involving the effect of changing the base, rate, or percentage (the three cases of percent), or variations on order of fi nding percentages (10% off followed by 5% off), and compound interest.

Beam to Moon (Ratios and Proportions)
Compound Interest
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios
Percent of Change
Polling: Neighborhood
Real-Time Histogram

MHS:8: Applies properties of numbers (greatest common factor [GCF], least common multiple [LCM], prime factorization, inverses, and identities), or properties of operations to solve problems and to simplify computations.

Finding Factors with Area Models
Solving Two-Step Equations
Using Algebraic Equations

MHS:11: Uses the attributes, geometric properties, or theorems involving lines, polygons and circles (e.g., parallel, perpendicular, bisectors, diagonals, radii, diameters, central angles, arc length excluding radians), the Pythagorean Theorem, Triangle Inequality Theorem to solve mathematical situations or problems in context.

Concurrent Lines, Medians, and Altitudes

MHS:13: Applies concepts of similarity, congruency or right triangle trigonometry to determine length or angle measures and to solve problems involving scale.

Perimeters and Areas of Similar Figures

MHS:14: Demonstrates conceptual understanding of perimeter, circumference, or area of two-dimensional fi gures or composites of two-dimensional fi gures or surface area or volume of threedimensional fi gures or composites of three-dimensional fi gures in problem-solving situations and uses appropriate units of measure and expresses formulas for the perimeter, and area of two-dimensional fi gures or composites of two-dimensional fi gures or surface area or volume of three-dimensional fi gures or composites of three-dimensional fi gures.

Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Perimeter and Area of Rectangles
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

MHS:15: Measures and uses units of measures appropriately and consistently when solving problems across the content strands. Makes conversions within or across systems and makes decisions concerning an appropriate degree of accuracy in problem situations involving measurement. Uses measurement conversion strategies, such as unit/dimensional analysis or uses quotient measures, such as speed and density, that give per unit amounts, or uses product measures, such as person hours to solve problems. (See Appendix B for benchmark units and equivalences for each grade.)

Unit Conversions

MHS:17: Constructs1 or accurately represents congruent angles, perpendicular lines, equilateral or isosceles triangles, triangle given the side segments, or inscribe or circumscribe a fi gure.

Circumference and Area of Circles
Classifying Triangles
Concurrent Lines, Medians, and Altitudes
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Inscribed Angles
Isosceles and Equilateral Triangles
Triangle Inequalities

MHS:20: Demonstrates conceptual understanding of linear relationships and linear and nonlinear functions (including f(x) = ax2_, f(x) = ax3_, absolute value function, exponential growth) through analysis of intercepts, domain, range and constant and variable rates of change in mathematical and contextual situations.

Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Direct and Inverse Variation
Linear Functions
Points, Lines, and Equations
Quadratics in Vertex Form
Slope-Intercept Form of a Line
Zap It! Game

MHS:21: Demonstrates conceptual understanding of algebraic 21 expressions by evaluating, simplifying, or writing algebraic expressions; and writes equivalent forms of algebraic expressions or formulas (d = rt -> r = d/t or solves a multivariable equation or formula for one variable in terms of the others).

Compound Interest
Dividing Exponential Expressions
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Multiplying Exponential Expressions
Operations with Radical Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

MHS:22: Demonstrates conceptual understanding of equality by solving linear equations, systems of two linear equations, or problems using tables, graphs, algebraic manipulation, or technology. Demonstrates conceptual understanding of inequality by solving linear inequalities, comparing values of systems of linear functions, using tables, graphs, algebraic manipulation, or technology.

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Compound Inequalities
Dividing Exponential Expressions
Exploring Linear Inequalities in One Variable
Exponential Functions
Introduction to Exponential Functions
Linear Inequalities in Two Variables
Linear Programming
Multiplying Exponential Expressions
Operations with Radical Expressions
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
Solving Two-Step Equations
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form)

MHS:23: Interprets a given representation(s) (box-and-whisker or scatter plots, histograms, frequency charts) to make observations, to answer questions or justify conclusions, to make predictions, or to solve problems.

Box-and-Whisker Plots
Correlation
Histograms
Least-Squares Best Fit Lines
Real-Time Histogram
Solving Using Trend Lines
Trends in Scatter Plots

MHS:24: Analyzes patterns, trends, or distributions in single variable and two variable data in a variety of contexts by determining or using measures of central tendency (mean, median, or mode), dispersion (range or variation), outliers, quartile values, or regression line or correlation (high, low/positive, negative) to analyze situations, or to solve problems; and evaluates the sample from which the statistics were developed (bias, random, or nonrandom).

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

MHS:25: Organizes and displays data using scatter plots, histograms, or frequency distributions to answer questions related to the data, to analyze the data to formulate or justify conclusions, make predictions, or to solve problems; or identifi es representations or elements of representations that best display a given set of data or situation, consistent with the representations required in MHS: 23.

Correlation
Describing Data Using Statistics
Histograms
Least-Squares Best Fit Lines
Polling: City
Populations and Samples
Real-Time Histogram
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

MHS:26: Uses combinations, arrangements or permutations to solve problems or to determine theoretical probability and experimental probability.

Binomial Probabilities
Permutations and Combinations

MHS:27: For a probability event chooses an appropriate probability model/simulations and uses it to estimate a theoretical probability for a chance event and uses the concept of a probability distribution to determine whether an event is rare or reasonably likely.

Polling: City

MHS:28: In response to a question, designs investigations, considers how data-collection methods affect the nature of the data set (i.e., sample size, bias, randomization, control group), collects data using observations, surveys and experiments, purposes and justifi es conclusions and predictions based on the data.

Polling: City
Polling: Neighborhood

MHS:29: Compares and contrasts theoretical and experimental probabilities of events; and determines and/or interprets the expected outcome of an event.

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