NC.5.OA: Operations and Algebraic Thinking

(Framing Text): Write and interpret numerical expressions.

NC.5.OA.2: Write, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving:

Order of Operations

NC.5.OA.2.a: Parentheses, using the order of operations.

Order of Operations

NC.5.OA.2.b: Commutative, associative and distributive properties.

Order of Operations

(Framing Text): Analyze patterns and relationships.

NC.5.OA.3: Generate two numerical patterns using two given rules.

City Tour (Coordinates)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)
Points, Lines, and Equations

NC.5.OA.3.a: Identify apparent relationships between corresponding terms.

City Tour (Coordinates)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)
Points, Lines, and Equations

NC.5.OA.3.b: Form ordered pairs consisting of corresponding terms from the two patterns.

City Tour (Coordinates)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)
Points, Lines, and Equations

NC.5.OA.3.c: Graph the ordered pairs on a coordinate plane.

City Tour (Coordinates)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Finder
Pattern Flip (Patterns)
Points, Lines, and Equations

NC.5.NBT: Number and Operations in Base Ten

(Framing Text): Understand the place value system.

NC.5.NBT.1: Explain the patterns in the place value system from one million to the thousandths place.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
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)
Treasure Hunter (Decimals on the Number Line)
Whole Numbers with Base-10 Blocks

NC.5.NBT.1.a: Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
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)
Treasure Hunter (Decimals on the Number Line)
Whole Numbers with Base-10 Blocks

NC.5.NBT.1.b: Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
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)
Treasure Hunter (Decimals on the Number Line)
Whole Numbers with Base-10 Blocks

NC.5.NBT.3: Read, write, and compare decimals to thousandths.

NC.5.NBT.3.a: Write decimals using base-ten numerals, number names, and expanded form.

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

NC.5.NBT.3.b: Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.

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

(Framing Text): Perform operations with multi-digit whole numbers.

NC.5.NBT.5: Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm.

Critter Count (Modeling Multiplication)

NC.5.NBT.6: Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

(Framing Text): Perform operations with decimals.

NC.5.NBT.7: Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

NC.5.NBT.7.a: Add and subtract decimals to thousandths using models, drawings or strategies based on place value.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

NC.5.NBT.7.b: Multiply decimals with a product to thousandths using models, drawings, or strategies based on place value.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

NC.5.NBT.7.c: Divide a whole number by a decimal and divide a decimal by a whole number, using repeated subtraction or area models. Decimals should be limited to hundredths.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

NC.5.NBT.7.d: Use estimation strategies to assess reasonableness of answers.

Multiplying Decimals (Area Model)

NC.5.NF: Number and Operations – Fractions

(Framing Text): Use equivalent fractions as a strategy to add and subtract fractions.

NC.5.NF.1: Add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths.

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

NC.5.NF.1.a: Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

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

NC.5.NF.1.b: Solve one- and two-step word problems in context using area and length models to develop the algorithm. Represent the word problem in an equation.

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

(Framing Text): Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

NC.5.NF.3: Use fractions to model and solve division problems.

Fraction Artist 1 (Area Models of Fractions)

NC.5.NF.3.a: Interpret a fraction as an equal sharing context, where a quantity is divided into equal parts.

Fraction Artist 1 (Area Models of Fractions)
Toy Factory (Set Models of Fractions)

NC.5.NF.3.b: Model and interpret a fraction as the division of the numerator by the denominator.

Fraction Artist 1 (Area Models of Fractions)

NC.5.NF.3.c: Solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.

Fraction Artist 1 (Area Models of Fractions)

NC.5.NF.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers.

NC.5.NF.4.a: Use area and length models to multiply two fractions, with the denominators 2, 3, 4.

Multiplying Fractions

NC.5.NF.4.c: Solve one-step word problems involving multiplication of fractions using models to develop the algorithm.

Multiplying Fractions

NC.5.MD: Measurement and Data

(Framing Text): Convert like measurement units within a given measurement system.

NC.5MD.1: Given a conversion chart, use multiplicative reasoning to solve one-step conversion problems within a given measurement system.

Cannonball Clowns (Number Line Estimation)

(Framing Text): Represent and interpret data.

NC.5.MD.2: Represent and interpret data.

NC.5.MD.2.a: Collect data by asking a question that yields data that changes over time.

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

NC.5.MD.2.b: Make and interpret a representation of data using a line graph.

Elevator Operator (Line Graphs)
Graphing Skills
Prairie Ecosystem

NC.5.MD.2.c: Determine whether a survey question will yield categorical or numerical data, or data that changes over time.

Reaction Time 2 (Graphs and Statistics)

(Framing Text): Understand concepts of volume.

NC.5.MD.4: Recognize volume as an attribute of solid figures and measure volume by counting unit cubes, using cubic centimeters, cubic inches, cubic feet, and improvised units.

Balancing Blocks (Volume)

NC.5.MD.5: Relate volume to the operations of multiplication and addition.

NC.5.MD.5.a: Find the volume of a rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths.

Balancing Blocks (Volume)
Prisms and Cylinders

NC.5.MD.5.b: Build understanding of the volume formula for rectangular prisms with whole-number edge lengths in the context of solving problems.

Balancing Blocks (Volume)
Prisms and Cylinders

NC.5.G: Geometry

(Framing Text): Understand the coordinate plane.

NC.5.G.1: Graph points in the first quadrant of a coordinate plane, and identify and interpret the x and y coordinates to solve problems.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations

(Framing Text): Classify quadrilaterals.

NC.5.G.3: Classify quadrilaterals into categories based on their properties.

NC.5.G.3.a: Explain that attributes belonging to a category of quadrilaterals also belong to all subcategories of that category.

Classifying Quadrilaterals

NC.5.G.3.b: Classify quadrilaterals in a hierarchy based on properties.

Classifying Quadrilaterals
Classifying Triangles
Parallelogram Conditions
Special Parallelograms