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NC.4.G.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.Quiz, Flash Cards, Worksheet, Game & Study Guide 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.
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
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.Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement
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.
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
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
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.
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.Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
NC.4.MD.6.b. Measure and sketch angles in whole-number degrees using a protractor.Quiz, Flash Cards, Worksheet, Game & Study Guide 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.Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points
NC.4.NBT.2. Read and write multi-digit whole numbers up to and including 100,000 using numerals, number names, and expanded form.Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
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.Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra
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.Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
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 deQuiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
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 relationQuiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division
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.Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
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 comparisoNC.4.NF.2.a. Reasoning about their size and using area and length models.Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line 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
NC.4.NF.2.b. Using benchmark fractions 0, , and a whole.
NC.4.NF.2.c. Comparing common numerator or common denominators.Quiz, Flash Cards, Worksheet, Game & Study Guide 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.Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
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.
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.Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
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.
NC.4.NF.4.b. Solve word problems involving multiplication of a fraction by a whole number.
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.
NC.4.NF.6.b. Use equivalent fractions to add two fractions with denominators of 10 or 100.Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
NC.4.NF.6.c. Represent tenths and hundredths with models, making connections between fractions and decimals.
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.
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
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.
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.
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.