NC.4.OA: Operations and Algebraic Thinking

(Framing Text): 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 comparison.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
Using Algebraic Equations

(Framing Text): 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.

Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

NC.4.OA.3.a: Use estimation strategies to assess reasonableness of answers.

Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

NC.4.OA.3.b: Interpret remainders in word problems.

Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

NC.4.OA.3.c: Represent problems using equations with a letter standing for the unknown quantity.

Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

(Framing Text): Gain familiarity with factors and multiples.

NC.4.OA.4: Find all factor pairs for whole numbers up to and including 50 to:

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

NC.4.OA.4.a: Recognize that a whole number is a multiple of each of its factors.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

NC.4.OA.4.b: Determine whether a given whole number is a multiple of a given one-digit number.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

NC.4.OA.4.c: Determine if the number is prime or composite.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

(Framing Text): Generate and analyze patterns.

NC.4.OA.5: Generate and analyze a number or shape pattern that follows a given rule.

Finding Patterns
Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

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

(Framing Text): 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.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

NC.4.NBT.2: Read and write multi-digit whole numbers up to and including 100,000 using numerals, number names, and expanded form.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

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.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

(Framing Text): 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.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

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 develop the algorithm.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

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 relationship between multiplication and division.

No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

NC.4.NF: Number and Operations – Fractions

(Framing Text): 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.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of 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 comparisons with symbols >, =, or <, and justify the conclusions by:

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NC.4.NF.2.a: Reasoning about their size and using area and length models.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NC.4.NF.2.b: Using benchmark fractions 0, ½, and a whole.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NC.4.NF.2.c: Comparing common numerator or common denominators.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

(Framing Text): 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.

Adding Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of 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.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

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.

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

NC.4.NF.3.d: Solve word problems involving addition and subtraction of fractions, including mixed numbers by writing equations from a visual representation of the problem.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

(Framing Text): 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.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

(Framing Text): Understand decimal notation for fractions, and compare decimal fractions.

NC.4.NF.6: Use decimal notation to represent fractions.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

NC.4.NF.6.a: Express, model and explain the equivalence between fractions with denominators of 10 and 100.

Modeling Decimals (Area and Grid Models)

NC.4.NF.6.c: Represent tenths and hundredths with models, making connections between fractions and decimals.

Fraction, Decimal, Percent (Area and Grid Models)

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.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

NC.4.MD: Measurement and Data

(Framing Text): Solve problems involving measurement.

NC.4.MD.1: Know relative sizes of measurement units. Solve problems involving metric measurement.

Cannonball Clowns (Number Line Estimation)

NC.4.MD.1.a: Measure to solve problems involving metric units: centimeter, meter, gram, kilogram, Liter, milliliter.

Cannonball Clowns (Number Line Estimation)

NC.4.MD.1.b: Add, subtract, multiply, and divide to solve one-step word problems involving whole-number measurements of length, mass, and capacity that are given in metric units.

Elapsed Time
Road Trip (Problem Solving)

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.

Cannonball Clowns (Number Line Estimation)

NC.4.MD.8: Solve word problems involving addition and subtraction of time intervals that cross the hour.

Elapsed Time

(Framing Text): Solve problems involving area and perimeter.

NC.4.MD.3: Solve problems with area and perimeter.

Chocomatic (Multiplication, Arrays, and Area)

NC.4.MD.3.a: Find areas of rectilinear figures with known side lengths.

Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

NC.4.MD.3.b: Solve problems involving a fixed area and varying perimeters and a fixed perimeter and varying areas.

Chocomatic (Multiplication, Arrays, and Area)

(Framing Text): Represent and interpret data.

NC.4.MD.4: Represent and interpret data using whole numbers.

NC.4.MD.4.a: Collect data by asking a question that yields numerical data.

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

NC.4.MD.4.b: Make a representation of data and interpret data in a frequency table, scaled bar graph, and/or line plot.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

(Framing Text): Understand concepts of angle and measure angles.

NC.4.MD.6: Develop an understanding of angles and angle measurement.

NC.4.MD.6.c: Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems.

Polygon Angle Sum

NC.4.G: Geometry

(Framing Text): 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.

City Tour (Coordinates)
Classifying Quadrilaterals
Elevator Operator (Line Graphs)

NC.4.G.2: Classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines.

Classifying Quadrilaterals
Classifying Triangles
Parallelogram Conditions

NC.4.G.3: Recognize symmetry in a two-dimensional figure, and identify and draw lines of symmetry.

Quilting Bee (Symmetry)