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## NC.4.G.Geometry

Geometry
Classify shapes based on lines and angles in two-dimensional figures.
NC.4.G.1. Draw and identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.
Flip Charts Lines & Angles
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Flip Charts Polygons
Flip Charts Polygons
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

NC.4.G.2. Classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines.
Flip Charts Math Grade 4
Flip Charts Polygons
Flip Charts Polygons
Vocabulary Terms Polygon Characteristics
Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics

NC.4.G.3. Recognize symmetry in a two-dimensional figure, and identify and draw lines of symmetry.
Quiz, Flash Cards, Worksheet, Game & Study Guide Symmetry

## NC.4.MD.Measurement and Data

Measurement and Data
Solve problems involving measurement.
NC.4.MD.1. Know relative sizes of measurement units. Solve problems involving metric measurement.
NC.4.MD.1.a. Measure to solve problems involving metric units: centimeter, meter, gram, kilogram, Liter, milliliter.
Flip Charts Math Grade 3
Flip Charts Math Grade 4
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

NC.4.MD.2. Use multiplicative reasoning to convert metric measurements from a larger unit to a smaller unit using place value understanding, two-column tables, and length models.
Flip Charts Math Grade 4

Solve problems involving area and perimeter.
NC.4.MD.3. Solve problems with area and perimeter.
NC.4.MD.3.a. Find areas of rectilinear figures with known side lengths.
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

NC.4.MD.3.c. Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

Represent and interpret data.
NC.4.MD.4. Represent and interpret data using whole numbers.
NC.4.MD.4.b. Make a representation of data and interpret data in a frequency table, scaled bar graph, and/or line plot.
Flip Charts Math Grade 5
Vocabulary Terms Graphs and Charts
Vocabulary Terms Represent Data
Vocabulary Terms Tables and Graphs
Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Charts
Quiz, Flash Cards, Worksheet, Game & Study Guide Represent Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Tables and Graphs

Understand concepts of angle and measure angles.
NC.4.MD.6. Develop an understanding of angles and angle measurement.
NC.4.MD.6.a. Understand angles as geometric shapes that are formed wherever two rays share a common endpoint, and are measured in degrees.
Flip Charts Lines & Angles
Flip Charts Math Grade 4
Flip Charts Math Grade 5
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

NC.4.MD.6.b. Measure and sketch angles in whole-number degrees using a protractor.
Flip Charts Math Grade 5
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

## NC.4.NBT.Number and Operations in Base Ten

Number and Operations in Base Ten
Generalize place value understanding for multi-digit numbers whole numbers.
NC.4.NBT.1. Explain that in a multi-digit whole number, a digit in one place represents 10 times as much as it represents in the place to its right, up to 100,000.
Flip Charts Math Grade 4
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Place Value
Vocabulary Terms Plot Points
Vocabulary Terms Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

NC.4.NBT.2. Read and write multi-digit whole numbers up to and including 100,000 using numerals, number names, and expanded form.
Flip Charts Math Grade 4
Vocabulary Terms Expanding Numbers
Vocabulary Terms Place Value
Vocabulary Terms Whole Numbers to Millions
Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words to 1,000
Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

NC.4.NBT.7. Compare two multi-digit numbers up to and including 100,000 based on the values of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Compare and Order Numbers
Vocabulary Terms Greater Than/Less Than
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 Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers

Use place value understanding and properties of operations to perform multi-digit arithmetic.
NC.4.NBT.4. Add and subtract multi-digit whole numbers up to and including 100,000 using the standard algorithm with place value understanding.
Flip Charts Math Grade 3
Vocabulary Terms Addition/Subtraction
Vocabulary Terms Double Digit Addition
Vocabulary Terms Double Digit Subtraction
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 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 Double Digit Addition
Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction
Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems
Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

NC.4.NBT.5. Multiply a whole number of up to three digits by a one-digit whole number, and multiply up to two two-digit numbers with place value understanding using area models, partial products, and the properties of operations. Use models to make connections and de
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Division
Vocabulary Terms Division/Multiplication
Vocabulary Terms More Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms Multiplication
Vocabulary Terms 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/Multiplication
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 Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

NC.4.NBT.6. Find whole-number quotients and remainders with up to three-digit dividends and one-digit divisors with place value understanding using rectangular arrays, area models, repeated subtraction, partial quotients, properties of operations, and/or the relation
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Division
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
Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

## NC.4.NF.Number and Operations – Fractions

Number and Operations – Fractions
Extend understanding of fractions.
NC.4.NF.1. Explain why a fraction is equivalent to another fraction by using area and length fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size.
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
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

NC.4.NF.2. Compare two fractions with different numerators and different denominators, using the denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of compariso
NC.4.NF.2.a. Reasoning about their size and using area and length models.
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Comparing Fractions
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Equivalent Fractions
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Percents
Vocabulary Terms Ratio
Vocabulary Terms Simplify Fractions
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 Algebra
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 Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent 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/Decimals
Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than
Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks
Quiz, Flash Cards, Worksheet, Game & Study Guide Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

NC.4.NF.2.b. Using benchmark fractions 0, , and a whole.
Flip Charts Math Grade 3
Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2

NC.4.NF.2.c. Comparing common numerator or common denominators.
Flip Charts Math Grade 3
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

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
NC.4.NF.3. Understand and justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100.
NC.4.NF.3.a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Flip Charts Math Grade 4
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Add/Subtract Fractions
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

NC.4.NF.3.b. Decompose a fraction into a sum of unit fractions and a sum of fractions with the same denominator in more than one way using area models, length models, and equations.
Flip Charts Math Grade 3

NC.4.NF.3.c. Add and subtract fractions, including mixed numbers with like denominators, by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Add/Subtract Fractions
Vocabulary Terms Add/Subtract Fractions
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

Use unit fractions to understand operations of fractions.
NC.4.NF.4. Apply and extend previous understandings of multiplication to:
NC.4.NF.4.a. Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than one.
Flip Charts Math Grade 5

NC.4.NF.4.b. Solve word problems involving multiplication of a fraction by a whole number.
Flip Charts Math Grade 5

Understand decimal notation for fractions, and compare decimal fractions.
NC.4.NF.6. Use decimal notation to represent fractions.
NC.4.NF.6.a. Express, model and explain the equivalence between fractions with denominators of 10 and 100.
Vocabulary Terms Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

NC.4.NF.6.b. Use equivalent fractions to add two fractions with denominators of 10 or 100.
Flip Charts Fraction Concepts
Flip Charts Fraction Concepts
Flip Charts Math Grade 3
Flip Charts Math Grade 4
Flip Charts Math Grade 5
Vocabulary Terms Decimals/Fractions
Vocabulary Terms Equivalent Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/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

NC.4.NF.6.c. Represent tenths and hundredths with models, making connections between fractions and decimals.
Vocabulary Terms Decimals/Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

NC.4.NF.7. Compare two decimals to hundredths by reasoning about their size using area and length models, and recording the results of comparisons with the symbols >, =, or <. Recognize that comparisons are valid only when the two decimals refer to the same whole.
Flip Charts All About Decimals
Flip Charts All About Decimals
Flip Charts Math Grade 3
Vocabulary Terms Less Than, Greater Than
Vocabulary Terms Ordering Decimals
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 Decimals

## NC.4.OA.Operations and Algebraic Thinking

Operations and Algebraic Thinking
Represent and solve problems involving multiplication and division.
NC.4.OA.1. Interpret a multiplication equation as a comparison. Multiply or divide to solve word problems involving multiplicative comparisons using models and equations with a symbol for the unknown number. Distinguish multiplicative comparison from additive compar
Vocabulary Terms Evaluate Open Sentences
Vocabulary Terms Problem Solving
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 Open Number Sentences
Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving
Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

Use the four operations with whole numbers to solve problems.
NC.4.OA.3. Solve two-step word problems involving the four operations with whole numbers.
NC.4.OA.3.b. Interpret remainders in word problems.
Flip Charts Math Grade 4
Flip Charts Math Grade 5

Gain familiarity with factors and multiples.
NC.4.OA.4. Find all factor pairs for whole numbers up to and including 50 to:
NC.4.OA.4.a. Recognize that a whole number is a multiple of each of its factors.
Flip Charts Math Grade 5
Vocabulary Terms Common Factors
Quiz, Flash Cards, Worksheet, Game & Study Guide Common Factors

Generate and analyze patterns.
NC.4.OA.5. Generate and analyze a number or shape pattern that follows a given rule.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

## NC.MP.Standards for Mathematical Practice

Standards for Mathematical Practice
MP.1. Make sense of problems and persevere in solving them.
Flip Charts Math Grade 3

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