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