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## WV.M.S.6.1.Number and Operations: 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.

Number and Operations: 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.6.1.1. Students will demonstrate an understanding of large numbers by converting and comparing numbers in scientific notation and standard notation (with and without technology).
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

M.O.6.1.2. Students will determine the greatest common factor and least common multiple using multiple strategies to solve real-world problems; find prime factorization of a number.
Vocabulary Terms Common Factors
Quiz, Flash Cards, Worksheet, Game & Study Guide Common Factors
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns

M.O.6.1.3. Students will compare and order integers using multiple strategies (e.g., symbols, manipulatives, number line).
Quiz, Flash Cards, Worksheet, Game & Study Guide Positive & Negative Integers

M.O.6.1.5. Students will apply the distributive, commutative, associative and identity properties to numeric expressions and use to prove equivalency.
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Distributive Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

M.O.6.1.7. Students will compute the percent of a number to solve application problems and justify the reasonableness by estimation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base
Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage

M.O.6.1.8. Students will demonstrate an understanding of the effect of multiplying and dividing, whole numbers, fractions and decimals by numbers including 0, 1 and values between 0 and 1 .

M.O.6.1.9. Students will develop and test hypotheses to derive the rules for addition, subtraction, multiplication and division of integers, justify by using real-world examples and use them to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

## WV.M.S.6.2.Algebra: 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.

Algebra: 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.6.2.1. Students will simplify numerical expressions and evaluate algebraic expressions using order of operations.
Vocabulary Terms Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

M.O.6.2.2. Students will use inductive reasoning to extend patterns to predict the nth term (e.g., powers and triangular numbers).
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

M.O.6.2.3. Students will create algebraic expressions that correspond to real-world situations; use the expressions to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

M.O.6.2.4. Students will determine the rule, output or input; given an input/output model using one operation, write an algebraic expression for the rule and use to identify other input/output values.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

M.O.6.2.5. Students will solve real-world proportion problems involving rates, probability and measurements using multiple strategies, justify selection of strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

M.O.6.2.6. Students will write and solve one-step equations using number sense, properties of operations and the idea of maintaining equality to represent and solve real-world problems.
Flip Charts Solving Equations
Flip Charts Solving Equations
Vocabulary Terms Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

## WV.M.S.6.3.Geometry: 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.

Geometry: 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.6.3.1. Students will analyze characteristics using defining properties of
M.O.6.3.1.a. Lines,
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

M.O.6.3.1.b. Angles,
Vocabulary Terms Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

M.O.6.3.1.c. Polygons,
Flip Charts Dot to Dot
Flip Charts Shape Up
Vocabulary Terms Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

M.O.6.3.1.e. Compare these geometric figures.
Flip Charts Dot to Dot
Flip Charts Shape Up
Vocabulary Terms Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

M.O.6.3.3. Students will apply the concepts of parallel, perpendicular, intersecting, and skew lines to real-world situations (i.e. roads and routes).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

M.O.6.3.5. Students will predict, describe, and perform transformations on two-dimensional shapes
M.O.6.3.5.a. Translations

M.O.6.3.5.b. Rotations

M.O.6.3.5.c. Reflections

M.O.6.3.7. Students will plot polygons on coordinate grids, determine lengths and areas from the graph.
Flip Charts Shape Up
Vocabulary Terms Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons
Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

## WV.M.S.6.4.Measurement: 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 measurement, and apply appropriate techniques, tools and formulas to determine measurements.

Measurement: 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 measurement, and apply appropriate techniques, tools and formulas to determine measurements.
M.O.6.4.1. Students will determine an approximation for pi using actual measurements.
Flip Charts Dot to Dot
Flip Charts Finding Volume
Flip Charts Shape Up
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles
Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

M.O.6.4.2. Students will develop and test hypotheses to determine formulas for
M.O.6.4.2.a. Perimeter of polygons, including composite figures
Flip Charts Dot to Dot
Flip Charts Shape Up
Vocabulary Terms Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

M.O.6.4.2.b. Area of parallelograms
Flip Charts Shape Up
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Triangles and Quadrilaterals
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

M.O.6.4.2.c. Area of triangles
Flip Charts Shape Up
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Triangles and Quadrilaterals
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

M.O.6.4.2.e. Circumference of a circle
Flip Charts Dot to Dot
Flip Charts Shape Up
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles
Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

M.O.6.4.2.f. Area of a circle
Flip Charts Shape Up
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles
Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

M.O.6.4.2.g. Volume of a rectangular prism
Flip Charts Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

M.O.6.4.3. Students will investigate, model and describe surface area of rectangular prisms and cylinders; develop strategies to determine the surface area of rectangular prisms
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

M.O.6.4.4. Students will develop strategies to determine volume of cylinders; solve real-world problems involving volume of cylinders, justify the results.
Flip Charts Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

M.O.6.4.5. Students will given a two-dimensional polygon, construct a scale drawing given the scale factor.
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

## WV.M.S.6.5.Data Analysis and Probability: 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.

Data Analysis and Probability: 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.6.5.1. Students will collect, organize, display, read, interpret and analyze real-world data using appropriate graphs and tables (with and without technology).
Vocabulary Terms Data Analysis
Vocabulary Terms Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Tables
Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics
Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics
Quiz, Flash Cards, Worksheet, Game & Study Guide Tables

M.O.6.5.2. Students will identify a real life situation using statistical measures (mean, median, mode, range, outliers) overtime, make a hypothesis as to the outcome; design and implement a method to collect, organize and analyze data; analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data, design a mode of presentation using words, graphs, models, and/or tables (with and without technology).

M.O.6.5.3. Students will perform simple probability events using manipulatives; predict the outcome given events using experimental and theoretical probability; express experimental and theoretical probability as a ratio, decimal or percent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

M.O.6.5.4. Students will determine combinations and permutations of given real-world situations by multiple strategies, including creating lists.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

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