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.

Estimating Population Size

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.

Permutations and Combinations

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