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# West Virginia Standards Sixth Grade Mathematics resources

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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).

Flip Charts Exponents, Factors & Multiples

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

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.

Flip Charts Exponents, Factors & Multiples

Flip Charts Math Grade 5

Flip Charts Math: Grade 7

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

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.

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Properties of Addition & Multiplication

Flip Charts Properties of Addition & Multiplication

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.

Flip Charts All About Percents

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Ratio, Proportion & Percent

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 .

Flip Charts Math Grade 8

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.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

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.

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).

Flip Charts Math Grade 8

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.

Flip Charts Introduction to Algebra

Flip Charts Introduction to Algebra

Flip Charts Math Grade 5

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.

Flip Charts Introduction to Probability

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

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 Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

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

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,

Flip Charts Lines, Angles & Circles

Flip Charts Lines, Angles & Circles

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

M.O.6.3.1.b. Angles,

Flip Charts Lines, Angles & Circles

Flip Charts Lines, Angles & Circles

Flip Charts Math Grade 5

Flip Charts Math Grade 8

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 Math Grade 8

Flip Charts Shape Up

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 Math Grade 8

Flip Charts Shape Up

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).

Flip Charts Math Grade 8

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

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

M.O.6.3.5.b. Rotations

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

M.O.6.3.5.c. Reflections

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

M.O.6.3.7. Students will plot polygons on coordinate grids, determine lengths and areas from the graph.

Flip Charts Shape Up

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons

Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

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 Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

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 Math Grade 8

Flip Charts Shape Up

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 Math Grade 8

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 Math Grade 8

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 Area & Circumference of Circles

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

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 Area & Circumference of Circles

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

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

Flip Charts Math: Grade 7

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

Flip Charts Area & Circumference of Circles

Flip Charts Math Grade 6

Flip Charts Surface Areas of Solid Figures

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

Flip Charts Math: Grade 7

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.

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

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).

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

Flip Charts Math Grade 8

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).

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

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.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability