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## WV.M.S.3.1.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.3.1.1. Students will read, write, order, and compare numbers to 10,000 using a variety of strategies (e.g., symbols, manipulatives, number line).
Flip Charts Place Value
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Comparing Numbers
Vocabulary Terms Counting to 999
Vocabulary Terms Greater Than/Less Than
Vocabulary Terms Place Value
Vocabulary Terms Sequencing
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Counting to 999
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequencing

M.O.3.1.10. Students will use and explain the operations of multiplication and division including the properties (e.g., identity element of multiplication, commutative property, property of zero, associative property, inverse operations).
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

M.O.3.1.11. Students will recall basic multiplication facts and the corresponding division facts.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Step It Up
Vocabulary Terms Multiplication
Vocabulary Terms One More, One Less
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition without Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide One More, One Less

M.O.3.1.12. Students will model the distributive property in multiplication of 2- and 3-digit numbers by a 1-digit number.

M.O.3.1.13. Students will use models to demonstrate division of 2- and 3-digit numbers by a 1-digit number.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

M.O.3.1.2. Students will read, write, order, and compare decimals to hundredths, with manipulatives.
Flip Charts Box It Up
Vocabulary Terms Decimals
Vocabulary Terms Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

M.O.3.1.3. Students will identify place value of each digit utilizing standard and expanded form to 10,000.
Flip Charts Box It Up
Flip Charts Place Value
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Expanding Numbers
Vocabulary Terms Greater Than/Less Than
Vocabulary Terms Place Value
Vocabulary Terms Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value

M.O.3.1.4. Students will apply estimation skills (rounding, benchmarks, compatible numbers) to solve and evaluate reasonableness of an answer.
Vocabulary Terms Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

M.O.3.1.5. Students will demonstrate an understanding of fractions as part of a whole/one and as part of a set/group using models and pictorial representations.
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Triangle Tricks
Vocabulary Terms Comparing Fractions
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Greater Than or Less Than 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

M.O.3.1.6. Students will create concrete models and pictorial representations to compare and order fractions with like and unlike denominators, add and subtract fractions with like denominators, and verify results.
Flip Charts Box It Up
Flip Charts Triangle Tricks
Vocabulary Terms Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Greater Than or Less Than 1/2

M.O.3.1.7. Students will use concrete models and pictorial representations to demonstrate an understanding of equivalent fractions, proper and improper fractions, and mixed numbers.
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Triangle Tricks
Vocabulary Terms Comparing Fractions
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Greater Than or Less Than 1/2
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

M.O.3.1.8. Students will add and subtract 2- and 3-digit whole numbers and money with and without regrouping.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Step It Up
Vocabulary Terms Double Digit Subtraction
Vocabulary Terms Money
Vocabulary Terms Counting Money
Vocabulary Terms Regrouping
Vocabulary Terms Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide 4 Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition/Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition without Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Giving Change from \$1.00
Quiz, Flash Cards, Worksheet, Game & Study Guide Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Counting Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

M.O.3.1.9. Students will demonstrate and model multiplication (repeated addition, arrays) and division (repeated subtraction, partitioning).
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Division
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

## WV.M.S.3.2.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.3.2.1. Students will analyze and extend geometric and numeric patterns.
Vocabulary Terms Number Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

M.O.3.2.4. Students will write equivalent numerical expressions and justify equivalency.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Subtraction Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts

M.O.3.2.5. Students will use symbol and letter variables to represent an unknown quantity and determine the value of the variable.
Vocabulary Terms Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine the One Operation Function
Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Open Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

## WV.M.S.3.3.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.3.3.2. Students will identify, describe, and classify the following geometric solids according to the number of faces, edges, and vertices:
M.O.3.3.2.a. Cube
Vocabulary Terms Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

M.O.3.3.2.b. Rectangular solid
Vocabulary Terms Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

M.O.3.3.2.c. Cylinder
Vocabulary Terms Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

M.O.3.3.2.d. Cone
Vocabulary Terms Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

M.O.3.3.2.e. Pyramid
Vocabulary Terms Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

M.O.3.3.4. Students will identify, describe and draw lines of symmetry in two-dimensional shapes.
Flip Charts Symmetry
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

M.O.3.3.5. Students will model, describe, and draw
M.O.3.3.5.a. Lines
Flip Charts Lines & Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

M.O.3.3.5.b. Rays
Flip Charts Lines & Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

M.O.3.3.5.c. Angles including right, obtuse, and acute angles.
Flip Charts Lines & Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

M.O.3.3.7. Students will name the location of a point on a first-quadrant grid, represent using ordered pairs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates

## WV.M.S.3.4.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.3.4.1. Students will, within a project based investigation, identify a real life situation, consider a number of variables and use appropriate measurement tools, overtime, make a hypothesis as to the change overtime; with more precision than whole units;
M.O.3.4.1.a. Length in centimeters and inches,
Vocabulary Terms Comparing Objects
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Objects
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

M.O.3.4.1.b. Temperature in Celsius and Fahrenheit
Quiz, Flash Cards, Worksheet, Game & Study Guide Temperature

M.O.3.4.1.c. Weight/mass in pounds and kilograms, and design and implement a method to collect, organize, and analyze data; analyze results to make a conclusion; evaluate the validity of the hypothesis upon collected data; design a mode of presentation (with and without technology)
Vocabulary Terms Comparing Objects
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Objects
Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

M.O.3.4.2. Students will estimate and find the perimeter and area of familiar geometric shapes, using manipulatives, grids, or appropriate measuring tools.
Flip Charts Dot to Dot
Flip Charts Shape Up
Vocabulary Terms Perimeter
Vocabulary Terms Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

M.O.3.4.3. Students will determine the formula the area of a rectangle and explain reasoning through modeling.
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

M.O.3.4.4. Students will read time to 5-minute intervals (am and pm) using analog and digital clocks, compute elapsed time to the quarter-hour using a clock.
Vocabulary Terms Time
Vocabulary Terms Story Problems
Vocabulary Terms Time
Quiz, Flash Cards, Worksheet, Game & Study Guide Time
Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Time

M.O.3.4.5. Students will identify, count and organize coins and bills to display a variety of price values from real-life examples with a total value of \$100 or less and model making change using manipulatives.
Vocabulary Terms Decimals
Vocabulary Terms Money
Vocabulary Terms Counting Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Giving Change from \$1.00
Quiz, Flash Cards, Worksheet, Game & Study Guide Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Money
Quiz, Flash Cards, Worksheet, Game & Study Guide Counting Money

## WV.M.S.3.5.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.3.5.1. Students will collect and organize grade-appropriate real-world data from observation, surveys, and experiments, and identify and construct appropriate ways to display data.
Flip Charts Data & Graphs

M.O.3.5.3. Students will analyze real-world data represented on a graph using grade-appropriate questions.
Flip Charts Data & Graphs
Vocabulary Terms Graphs
Vocabulary Terms Graphs and Charts
Vocabulary Terms Tables and Graphs
Vocabulary Terms Represent Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Charts
Quiz, Flash Cards, Worksheet, Game & Study Guide Tables and Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Represent Data

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