21st Century Mathematics

M.O.CM.2: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of patterns, relations and functions, represent and analyze mathematical situations and structures using algebraic symbols, use mathematical models to represent and understand quantitative relationships, and analyze change in various contexts.

M.O.CM.2.1: use a variety of problem solving strategies (e.g., draw a diagram, look for a pattern, work backwards) to solve real-world problems.

M.O.CM.2.2: interpret graphs of functions including linear, quadratic, and exponential.

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

Linear Functions

Logarithmic Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

Slope-Intercept Form of a Line

M.O.CM.2.3: solve application problems using linear, quadratic and exponential functions with emphasis on data collection and analysis.

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Introduction to Exponential Functions

Quadratics in Polynomial Form

Slope-Intercept Form of a Line

M.O.CM.2.5: describe and illustrate how calculating costs, simple and compound interest, finance charge, loan payment and tax functions are used to solve real-world problems.

M.O.CM.2.6: identify a real life situation that involves investing money over time; pose a question; make a hypothesis as to the answer; develop, justify, and implement a method to collect, organize, and analyze related data; generalize the results to make a conclusion; compare the hypothesis and the conclusion; present the project numerically, analytically, graphically and verbally using words, graphs, models, or tables (with and without technology).

Box-and-Whisker Plots

Compound Interest

Describing Data Using Statistics

Polling: City

Real-Time Histogram

Stem-and-Leaf Plots

M.O.CM.3: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships, specify locations and describe spatial relationships using coordinate geometry and other representational systems, apply transformations and use symmetry to analyze mathematical situations, and solve problems using visualization, spatial reasoning, and geometric modeling.

M.O.CM.3.1: apply concepts of geometry including the Pythagorean Theorem, similar triangles, and right triangle trigonometry.

Circles

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Perimeters and Areas of Similar Figures

Similar Figures

Surface and Lateral Areas of Pyramids and Cones

M.O.CM.3.2: compute measures to solve real-world problems, using relationships involving perimeter, area, surface area and volume of geometric figures.

Surface and Lateral Areas of Pyramids and Cones

M.O.CM.5: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them, select and use appropriate statistical methods to analyze data, develop and evaluate inferences and predictions that are based on models, and apply and demonstrate an understanding of basic concepts of probability.

M.O.CM.5.2: integrate other disciplines into the study of mathematics through simulations, research, and projects.

M.O.CM.5.3: determine possible outcomes using tree diagrams and the counting principles of permutations and combinations, develop conclusions and offer solutions for new situations, using real-world data.

Binomial Probabilities

Permutations and Combinations

M.O.CM.5.4: design and conduct probability investigations and then determine, analyze, and communicate the results.

M.O.CM.5.5: collect and interpret data using various methods of displaying numerical data, including frequency distributions, graphs, histograms, stem-and-leaf plots, and box-and-whiskers plots, using technology when appropriate.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Polling: City

Populations and Samples

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

M.O.CM.5.6: relate the measures of central tendency and the measures of dispersion to a normal distribution.

Polling: City

Populations and Samples

Real-Time Histogram

Sight vs. Sound Reactions

Correlation last revised: 5/31/2018

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