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## WV.M.S.4.1.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.4.1.1. Students will read, write, order, and compare whole numbers to the millions place and decimals to thousandths place using a variety of strategies (e.g. symbols, manipulatives, number line, pictorial representations).
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Greater Than/Less Than
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
Vocabulary Terms Place Value
Vocabulary Terms Whole Numbers to Millions
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 Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals
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 Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals
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 Whole Numbers to Millions

M.O.4.1.2. Students will demonstrate an understanding of the place value of each digit utilizing standard and expanded form through 1,000,000 with multiples of 10 [(5 X 10,000) + (3 X 1,000) + (4 X 10) + 2].
Flip Charts Box It Up
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Expanding Numbers
Vocabulary Terms Place Value
Vocabulary Terms Whole Numbers to Millions
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 Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

M.O.4.1.3. Students will estimate solutions to problems including rounding, benchmarks, compatible numbers and evaluate the reasonableness of the solution, justify results.
Vocabulary Terms Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

M.O.4.1.4. Students will using concrete models, benchmark fractions, number line
M.O.4.1.4.a. Compare and order fractions with like and unlike denominators
Flip Charts Box It Up
Flip Charts Triangle Tricks
Vocabulary Terms Comparing Fractions
Vocabulary Terms Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order 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/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

M.O.4.1.4.b. Add and subtract fractions with like and unlike denominators
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

M.O.4.1.4.c. Model equivalent fractions
Flip Charts Box It Up
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Triangle Tricks
Vocabulary Terms Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

M.O.4.1.4.d. Model addition and subtraction of mixed numbers with and without regrouping.
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

M.O.4.1.5. Students will analyze the relationship of fractions to decimals using concrete objects and pictorial representations.
Flip Charts Box It Up
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Percents

M.O.4.1.6. Students will round decimals to the nearest whole, 10th, or 100th place.
Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding

M.O.4.1.7. Students will add and subtract whole numbers(up to five –digit number) and decimals to the 1000th place, multiply (up to three digits by two-digits, and divide(up to a three digit number with a one and two-digit number).
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Flip Charts Step It Up
Vocabulary Terms Division
Vocabulary Terms Division
Vocabulary Terms Double Digit Subtraction
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Division/Multiplication
Vocabulary Terms Multiplication
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 Add/Subtract Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Addition/Subtraction
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 Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction
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 Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

M.O.4.1.8. Students will solve multi-digit whole number multiplication problems using a variety of strategies, including the standard algorithm, justify methods used.
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
Vocabulary Terms Multiplication
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 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 Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

M.O.4.1.9. Students will quick recall of basic multiplication facts and corresponding division facts.
Flip Charts Columns Across
Flip Charts Function Machine
Flip Charts Magic Squares
Vocabulary Terms Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Division
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

## WV.M.S.4.2.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.4.2.3. Students will represent the idea of a variable as an unknown quantity using a letter, write an expression using a variable to describe a real-world situation.

M.O.4.2.4. Students will solve real-world problems involving order of operations including grouping symbols and the four operations.
Vocabulary Terms Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

## WV.M.S.4.3.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.4.3.1. Students will identify, classify, compare and contrast two-dimensional (including quadrilateral shapes) and three-dimensional geometric figures according to attributes.
Flip Charts Polygons
Flip Charts Polygons
Flip Charts Shape Up
Vocabulary Terms Congruent Shapes
Vocabulary Terms Shapes
Vocabulary Terms Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Shapes
Quiz, Flash Cards, Worksheet, Game & Study Guide Solids and Faces

M.O.4.3.3. Students will identify, draw, label, compare and contrast, and classify
M.O.4.3.3.a. Lines (intersecting, parallel, and perpendicular)
Flip Charts Lines & Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

M.O.4.3.3.b. Angles (acute, right, obtuse, and straight)
Flip Charts Lines & Angles
Vocabulary Terms Angles
Vocabulary Terms Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Lines and Angles

M.O.4.3.4. Students will identify and create a two-dimensional design with one line of symmetry.
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

M.O.4.3.5. Students will graph/plot ordered pairs on a first-quadrant grid and use the coordinate system to specify location and describe path.
Vocabulary Terms Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Tables
Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

M.O.4.3.6. Students will draw and identify parts of a circle: center point, diameter, and radius.

M.O.4.3.7. Students will select, analyze and justify appropriate use of transformations (translations, rotations, flips) to solve geometric problems including congruency and tiling (tessellations).

## WV.M.S.4.4.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 unites, 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 unites, systems, and processes of measurement, and apply appropriate techniques, tools and formulas to determine measurements.
M.O.4.4.1. Students will select appropriate measuring tools, apply and convert standard units within a system to estimate, measure, compare and order real-world measurements including:
M.O.4.4.1.a. Lengths using customary (to the nearest one-fourth inch) and metric units,
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
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.4.4.1.b. Weight,
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
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.4.4.1.c. Capacity,
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
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
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

M.O.4.4.1.d. Temperature, and
Quiz, Flash Cards, Worksheet, Game & Study Guide Temperature

M.O.4.4.1.e. Justify and present results.
Vocabulary Terms Measurement
Vocabulary Terms Measurement
Vocabulary Terms Measurement
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 Temperature
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure
Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

M.O.4.4.2. Students will quantify area by finding the total number of same sized units that cover a shape, develop a rule and justify the formula for the area of a rectangle using the area model representing multiplication.
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

M.O.4.4.3. Students will read time to the minute, calculate elapsed time in hours/minutes within a 24-hour period.
Vocabulary Terms Time
Vocabulary Terms Time
Quiz, Flash Cards, Worksheet, Game & Study Guide Time
Quiz, Flash Cards, Worksheet, Game & Study Guide Elapsed Time
Quiz, Flash Cards, Worksheet, Game & Study Guide Time

M.O.4.4.4. Students will given real-world situations, count coins and bills and determine correct change.
Quiz, Flash Cards, Worksheet, Game & Study Guide Giving Change from \$1.00

## WV.M.S.4.5.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.4.5.1. Students will read and interpret information represented on a circle graph.
Vocabulary Terms Data Analysis
Vocabulary Terms Graphs and Charts
Vocabulary Terms Tables and Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Charts
Quiz, Flash Cards, Worksheet, Game & Study Guide Tables and Graphs

M.O.4.5.2. Students will pose a grade-appropriate question that can be addressed with data, collect, organize, display, and analyze data in order to answer the question.

M.O.4.5.4. Students will solve real world problems using mean, median and mode.
Vocabulary Terms Data Analysis
Vocabulary Terms Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis
Quiz, Flash Cards, Worksheet, Game & Study Guide Mean
Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

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