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

Correlation last revised: 5/30/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.