5.OA: Operations and Algebraic Thinking

1.1: Write and interpret numerical expressions.

5.OA.1: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Order of Operations

1.2: Analyze patterns and relationships.

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

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

5.OA.3.ii: Identify apparent relationships between corresponding terms.

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

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

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

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

City Tour (Coordinates)
Function Machines 3 (Functions and Problem Solving)
Points, Lines, and Equations

5.OA.3.v: Use the graph to verify relationships.

Points, Lines, and Equations

1.3: Gain familiarity with factors and multiples.

5.OA.4.i: Find all factor pairs for a whole number in the range 1-100.

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

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

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

5.OA.4.iv: Determine whether a given whole number in the range 1-100 is prime or composite.

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

5.NBT: Number and Operations in Base Ten

2.1: Understand the place value system.

5.NBT.1: Recognize 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)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

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

5.NBT.3.a: Read and write decimals to thousandths using base-ten numerals, word form, 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)

5.NBT.3.b: Compare two decimals to thousandths based on meanings 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)

2.2: Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5: Fluently multiply multi-digit whole numbers using strategies flexibly, including the standard algorithm.

Critter Count (Modeling Multiplication)

5.NBT.6.i: Using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division, find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

5.NBT.6.ii: Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

5.NBT.7.i: Using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction, add, subtract, multiply, and divide decimals to hundredths.

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

5.NF: Number and Operations - Fractions

3.1: Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

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

3.2: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.3.i: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).

Fraction Artist 1 (Area Models of Fractions)

5.MD: Measurement and Data

4.1: Convert like measurement units within a given measurement system.

5.MD.1.i: Convert among different-sized standard measurement units within a given measurement system.

Cannonball Clowns (Number Line Estimation)

4.3: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3: Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

5.MD.3.a: A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

Balancing Blocks (Volume)

5.MD.3.b: A solid figure, which can be packed without gaps or overlaps using n unit cubes, is said to have a volume of n cubic units.

Balancing Blocks (Volume)

5.MD.5: Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

5.MD.5.a: Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes. Show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base.

Balancing Blocks (Volume)

5.MD.5.c: Apply the formulas V = l x w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Balancing Blocks (Volume)

5.G: Geometry

5.1: Graph points on the coordinate plane to solve real world and mathematical problems.

5.G.1.i: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates.

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

5.G.1.ii: Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (x-coordinate and x-axis, y-coordinate and y-axis).

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.i: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane.

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

5.G.2.ii: Interpret coordinate values of points in the context of the situation.

Points in the Coordinate Plane

5.2: Classify two-dimensional figures into categories based on their properties.

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 properties.

Classifying Quadrilaterals

Correlation last revised: 9/24/2019

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.