NC.3.OA: Operations and Algebraic Thinking

(Framing Text): Represent and solve problems involving multiplication and division.

NC.3.OA.1: For products of whole numbers with two factors up to and including 10:

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

NC.3.OA.1.a: Interpret the factors as representing the number of equal groups and the number of objects in each group.

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

NC.3.OA.1.b: Illustrate and explain strategies including arrays, repeated addition, decomposing a factor, and applying the commutative and associative properties.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Number Line Frog Hop (Addition and Subtraction)

NC.3.OA.2: For whole-number quotients of whole numbers with a one-digit divisor and a one-digit quotient:

No Alien Left Behind (Division with Remainders)

NC.3.OA.2.a: Interpret the divisor and quotient in a division equation as representing the number of equal groups and the number of objects in each group.

No Alien Left Behind (Division with Remainders)

NC.3.OA.2.b: Illustrate and explain strategies including arrays, repeated addition or subtraction, and decomposing a factor.

No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

NC.3.OA.3: Represent, interpret, and solve one-step problems involving multiplication and division.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

NC.3.OA.3.a: Solve multiplication word problems with factors up to and including 10. Represent the problem using arrays, pictures, and/or equations with a symbol for the unknown number to represent the problem.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

NC.3.OA.3.b: Solve division word problems with a divisor and quotient up to and including 10. Represent the problem using arrays, pictures, repeated subtraction and/or equations with a symbol for the unknown number to represent the problem.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

(Framing Text): Understand properties of multiplication and the relationship between multiplication and division.

NC.3.OA.6: Solve an unknown-factor problem, by using division strategies and/or changing it to a multiplication problem.

Factor Trees (Factoring Numbers)

(Framing Text): Multiply and divide within 100.

NC.3.OA.7: Demonstrate fluency with multiplication and division with factors, quotients and divisors up to and including 10.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
Pattern Flip (Patterns)

NC.3.OA.7.a: Know from memory all products with factors up to and including 10.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
Pattern Flip (Patterns)

NC.3.OA.7.b: Illustrate and explain using the relationship between multiplication and division.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Function Machines 3 (Functions and Problem Solving)
Multiplying Decimals (Area Model)
Pattern Flip (Patterns)

NC.3.OA.7.c: Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
Pattern Flip (Patterns)

(Framing Text): Solve two-step problems.

NC.3.OA.8: Solve two-step word problems using addition, subtraction, and multiplication, representing problems using equations with a symbol for the unknown number.

Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Using Algebraic Equations
Using Algebraic Expressions

(Framing Text): Explore patterns of numbers.

NC.3.OA.9: Interpret patterns of multiplication on a hundreds board and/or multiplication table.

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

NC.3.NBT: Number and Operations in Base Ten

(Framing Text): Use place value to add and subtract.

NC.3.NBT.2: Add and subtract whole numbers up to and including 1,000.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Fractions Greater than One (Fraction Tiles)
Number Line Frog Hop (Addition and Subtraction)
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.3.NBT.2.a: Use estimation strategies to assess reasonableness of answers.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

NC.3.NBT.2.b: Model and explain how the relationship between addition and subtraction can be applied to solve addition and subtraction problems.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Fractions Greater than One (Fraction Tiles)
Number Line Frog Hop (Addition and Subtraction)
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.3.NBT.2.c: Use expanded form to decompose numbers and then find sums and differences.

Cargo Captain (Multi-digit Subtraction)

NC.3.NF: Number and Operations – Fractions

(Framing Text): Understand fractions as numbers.

NC.3.NF.1: Interpret unit fractions with denominators of 2, 3, 4, 6, and 8 as quantities formed when a whole is partitioned into equal parts;

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NC.3.NF.1.a: Explain that a unit fraction is one of those parts.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NC.3.NF.2: Interpret fractions with denominators of 2, 3, 4, 6, and 8 using area and length models.

NC.3.NF.2.b: Using a number line, explain that the numerator of a fraction represents the number of lengths of the unit fraction from 0.

Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

NC.3.NF.3: Represent equivalent fractions with area and length models by:

NC.3.NF.3.a: Composing and decomposing fractions into equivalent fractions using related fractions: halves, fourths and eighths; thirds and sixths.

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.3.NF.3.b: Explaining that a fraction with the same numerator and denominator equals one whole.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NC.3.NF.3.c: Expressing whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

Equivalent Fractions (Fraction Tiles)

NC.3.NF.4: Compare two fractions with the same numerator or the same denominator by reasoning about their size, using area and length models, and using the >, <, and = symbols. Recognize that comparisons are valid only when the two fractions refer to the same whole with denominators: halves, fourths and eighths; thirds and sixths.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
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.3.MD: Measurement and Data

(Framing Text): Solve problems involving measurement.

NC.3.MD.1: Tell and write time to the nearest minute. Solve word problems involving addition and subtraction of time intervals within the same hour.

Elapsed Time

NC.3.MD.2: Solve problems involving customary measurement.

NC.3.MD.2.a: Estimate and measure lengths in customary units to the quarter-inch and half-inch, and feet and yards to the whole unit.

Cannonball Clowns (Number Line Estimation)

NC.3.MD.2.b: Estimate and measure capacity and weight in customary units to a whole number: cups, pints, quarts, gallons, ounces, and pounds.

Cannonball Clowns (Number Line Estimation)

NC.3.MD.2.c: Add, subtract, multiply, or divide to solve one-step word problems involving whole number measurements of length, weight, and capacity in the same customary units.

Cannonball Clowns (Number Line Estimation)

(Framing Text): Represent and interpret data.

NC.3.MD.3: Represent and interpret scaled picture and bar graphs:

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

NC.3.MD.3.a: Collect data by asking a question that yields data in up to four categories.

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

NC.3.MD.3.b: Make a representation of data and interpret data in a frequency table, scaled picture graph, and/or scaled bar graph with axes provided.

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

NC.3.MD.3.c: Solve one and two-step “how many more” and “how many less” problems using information from these graphs.

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

(Framing Text): Understand the concept of area.

NC.3.MD.5: Find the area of a rectangle with whole-number side lengths by tiling without gaps or overlaps and counting unit squares.

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

NC.3.MD.7: Relate area to the operations of multiplication and addition.

NC.3.MD.7.a: Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

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

NC.3.MD.7.b: Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving problems, and represent whole-number products as rectangular areas in mathematical reasoning.

Fido's Flower Bed (Perimeter and Area)

NC.3.MD.7.c: Use tiles and/or arrays to illustrate and explain that the area of a rectangle can be found by partitioning it into two smaller rectangles, and that the area of the large rectangle is the sum of the two smaller rectangles.

Fido's Flower Bed (Perimeter and Area)

(Framing Text): Understand the concept of perimeter.

NC.3.MD.8: Solve problems involving perimeters of polygons, including finding the perimeter given the side lengths, and finding an unknown side length.

Fido's Flower Bed (Perimeter and Area)

NC.3.G: Geometry

(Framing Text): Reason with shapes and their attributes.

NC.3.G.1: Reason with two-dimensional shapes and their attributes.

Classifying Quadrilaterals

NC.3.G.1.b: Recognize and draw examples and non-examples of types of quadrilaterals including rhombuses, rectangles, squares, parallelograms, and trapezoids.

Classifying Quadrilaterals