21st Century Mathematics

M.O.8.1: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems, demonstrate meanings of operations and how they relate to one another, and compute fluently and make reasonable estimates.

M.O.8.1.1: analyze, describe and compare the characteristics of rational and irrational numbers.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

M.O.8.1.3: analyze and solve grade-appropriate real-world problems with whole numbers, decimals, fractions, percents, percent increase and decrease, integers, and including, but not limited to, rates, tips, discounts, sales tax and interest and verify solutions using estimation techniques.

Compound Interest

Multiplying with Decimals

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Real-Time Histogram

Sums and Differences with Decimals

M.O.8.2: 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.8.2.1: use a variety of strategies to solve one and two-step linear equations and inequalities with rational solutions; defend the selection of the strategy; graph the solutions and justify the reasonableness of the solution.

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Point-Slope Form of a Line

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form)

M.O.8.2.4: use systems of linear equations to analyze situations and solve problems.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

M.O.8.2.7: formulate and apply a rule to generate an arithmetic, geometric and algebraic pattern.

Function Machines 1 (Functions and Tables)

M.O.8.2.8: determine the slope of a line using a variety of methods including

M.O.8.2.8.a: graphing

Cat and Mouse (Modeling with Linear Systems)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

M.O.8.2.8.b: change in y over change in x

Distance-Time and Velocity-Time Graphs

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

M.O.8.2.8.c: equation

Point-Slope Form of a Line

Slope-Intercept Form of a Line

M.O.8.2.9: represent and solve real-world grade-appropriate problems using multiple strategies and justify solutions.

M.O.8.3: 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 transformation and use symmetry to analyze mathematical situations, and solve problems using visualization, spatial reasoning, and geometric modeling.

M.O.8.3.5: create scale models of similar figures using ratio, proportion with pencil/paper and technology and determine scale factor

Perimeters and Areas of Similar Figures

Similar Figures

M.O.8.4: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurements, and apply appropriate techniques, tools, and formulas to determine measurements.

M.O.8.4.3: solve right triangle problems where the existence of triangles is not obvious using the Pythagorean Theorem and indirect measurement in real-world problem solving situations.

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

M.O.8.5: 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.8.5.1: determine and explain whether a real-world situation involves permutations or combinations, then use appropriate technology to solve the problem.

M.O.8.5.2: compare the experimental and theoretical probability of a given situation (including compound probability of a dependent and independent event).

Independent and Dependent Events

M.O.8.5.3: create and extrapolate information from multiple-bar graphs, box and whisker plots, and other data displays using appropriate technology.

Describing Data Using Statistics

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.