5.NSBT: Number Sense and Base Ten

5.NSBT.1: Understand that, in a multi-digit whole number, a digit in one place represents 10 times what the same digit represents in the place to its right, and represents 1/10 times what the same digit 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

5.NSBT.3: Read and write decimals in standard and expanded form. Compare two decimal numbers to the thousandths using the symbols >, =, or <.

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)

5.NSBT.5: Fluently multiply multi-digit whole numbers using strategies to include a standard algorithm.

Critter Count (Modeling Multiplication)

5.NSBT.6: Divide up to a four-digit dividend by a two-digit divisor, using strategies based on place value, the properties of operations, and the relationship between multiplication and division.

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

5.NSBT.7: Add, subtract, multiply, and divide decimal numbers to hundredths using concrete area models and drawings.

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

5.NSF: Number Sense and Operations – Fractions

5.NSF.1: Add and subtract fractions with unlike denominators (including mixed numbers) using a variety of models, including an area model and number line.

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)

5.NSF.2: Solve real-world problems involving addition and subtraction of fractions with unlike denominators.

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

5.NSF.3: Understand the relationship between fractions and division of whole numbers by interpreting a fraction as the numerator divided by the denominator (i.e., a/b = a ÷ b).

Fraction Artist 1 (Area Models of Fractions)

5.NSF.4: Extend the concept of multiplication to multiply a fraction or whole number by a fraction.

5.NSF.4.a: Recognize the relationship between multiplying fractions and finding the areas of rectangles with fractional side lengths;

Multiplying Fractions

5.NSF.4.b: Interpret multiplication of a fraction by a whole number and a whole number by a fraction and compute the product;

Multiplying Fractions

5.NSF.4.c: Interpret multiplication in which both factors are fractions less than one and compute the product.

Multiplying Fractions

5.NSF.6: Solve real-world problems involving multiplication of a fraction by a fraction, improper fraction and a mixed number.

Multiplying Fractions

5.ATO: Algebraic Thinking and Operations

5.ATO.1: Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces).

Order of Operations

5.ATO.3: Investigate the relationship between two numerical patterns.

5.ATO.3.a: Generate two numerical patterns given two rules and organize in tables;

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

5.ATO.3.b: Translate the two numerical patterns into two sets of ordered pairs;

Function Machines 1 (Functions and Tables)
Points, Lines, and Equations

5.ATO.3.c: Graph the two sets of ordered pairs on the same coordinate plane;

City Tour (Coordinates)
Elevator Operator (Line Graphs)
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 in the Coordinate Plane
Points, Lines, and Equations

5.ATO.3.d: Identify the relationship between the two numerical 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

5.G: Geometry

5.G.1: Define a coordinate system.

5.G.1.a: The x- and y- axes are perpendicular number lines that intersect at 0 (the origin);

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

5.G.1.b: Any point on the coordinate plane can be represented by its coordinates;

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

5.G.1.c: The first number in an ordered pair is the x-coordinate and represents the horizontal distance from the origin;

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

5.G.1.d: The second number in an ordered pair is the y-coordinate and represents the vertical distance from the origin.

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

5.G.2: Plot and interpret points in the first quadrant of the coordinate plane to represent real-world and mathematical situations.

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

5.G.3: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

Classifying Quadrilaterals

5.G.4: Classify two-dimensional figures in a hierarchy based on their attributes.

Classifying Quadrilaterals
Classifying Triangles
Parallelogram Conditions
Special Parallelograms

5.MDA: Measurement and Data Analysis

5.MDA.1: Convert measurements within a single system of measurement: customary (i.e., in., ft., yd., oz., lb., sec., min., hr.) or metric (i.e., mm, cm, m, km, g, kg, mL, L) from a larger to a smaller unit and a smaller to a larger unit.

Cannonball Clowns (Number Line Estimation)

5.MDA.3: Understand the concept of volume measurement.

5.MDA.3.b: Relate volume measurement to the operations of multiplication and addition by packing right rectangular prisms and then counting the layers of standard unit cubes;

Balancing Blocks (Volume)
Pyramids and Cones

5.MDA.3.c: Determine the volume of right rectangular prisms using the formula derived from packing right rectangular prisms and counting the layers of standard unit cubes.

Balancing Blocks (Volume)
Prisms and Cylinders