KY.5.OA: Operations and Algebraic Thinking

1.1: Write and interpret numerical expressions.

KY.5.OA.1: Use parentheses, brackets or braces in numerical expressions and evaluate expressions that include symbols.

Order of Operations

1.2: Analyze patterns and relationships.

KY.5.OA.3: Generate numerical patterns for situations.

KY.5.OA.3.a: Generate a rule for growing patterns, identifying the relationship between corresponding terms (x, y).

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)

KY.5.OA.3.b: Generate patterns using one or two given rules (x, y).

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

KY.5.OA.3.c: Use tables, ordered pairs and graphs to represent the relationship between the quantities.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

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

2.1: Understand the place value system.

KY.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)
Number Systems
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

KY.5.NBT.2: Multiply and divide by powers of 10.

KY.5.NBT.2.1: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10.

Modeling Whole Numbers and Decimals (Base-10 Blocks)
Unit Conversions 2 - Scientific Notation and Significant Digits

KY.5.NBT.2.2: Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.

Comparing and Ordering Decimals
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Unit Conversions 2 - Scientific Notation and Significant Digits

KY.5.NBT.2.3: Use whole-number exponents to denote powers of 10.

Unit Conversions 2 - Scientific Notation and Significant Digits

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

KY.5.NBT.3.a: Read and write decimals to thousandths 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)
Unit Conversions 2 - Scientific Notation and Significant Digits

KY.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.

KY.5.NBT.5: Fluently multiply multi-digit whole numbers (not to exceed four-digit by two-digit multiplication) using an algorithm.

Chocomatic (Multiplication, Arrays, and Area)

KY.5.NBT.6: Divide up to four-digit dividends by two-digit divisors.

No Alien Left Behind (Division with Remainders)

KY.5.NBT.6.a: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors using…

KY.5.NBT.6.a.2: the properties of operations

No Alien Left Behind (Division with Remainders)

KY.5.NBT.6.a.3: the relationship between multiplication and division

Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

KY.5.NBT.6.b: 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)

KY.5.NBT.7: Operations with decimals to hundredths.

KY.5.NBT.7.a: Add, subtract, multiply and divide decimals to hundredths using…

KY.5.NBT.7.a.1: concrete models or drawings

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

KY.5.NBT.7.a.2: strategies based on place value

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

KY.5.NBT.7.a.3: properties of operations

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

KY.5.NBT.7.a.4: the relationship between addition and subtraction

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

KY.5.NBT.7.b: Relate the strategy to a written method and explain the reasoning used.

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

KY.5.NF: Number and Operations–Fractions

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

KY.5.NF.1: Efficiently add and subtract fractions with unlike denominators (including mixed numbers) by…

KY.5.NF.1.1: using reasoning strategies, such as counting up on a number line or creating visual fraction models

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

KY.5.NF.1.2: finding common denominators

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)

KY.5.NF.2: Solve word problems involving addition and subtraction of fractions.

KY.5.NF.2.a: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators.

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fractions with Unlike Denominators

KY.5.NF.2.b: Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Estimating Sums and Differences

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

KY.5.NF.3: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers by using visual fraction models or equations to represent the problem.

Fraction Artist 1 (Area Models of Fractions)
No Alien Left Behind (Division with Remainders)

KY.5.NF.4: Apply and extend previous understanding of multiplication to multiply a fraction or whole number by a fraction.

KY.5.NF.4.a: Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.

Multiplying Fractions

KY.5.NF.4.b: Find the area of a rectangle with fractional side lengths by tiling it with squares of the appropriate unit fraction side lengths and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles and represent fraction products as rectangular areas.

Multiplying Fractions

KY.5.NF.5: Interpret multiplication as scaling (resizing), by:

KY.5.NF.5.a: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

Multiplying Fractions

KY.5.NF.5.b: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.

Equivalent Fractions (Fraction Tiles)

KY.5.NF.6: Solve real world problems involving multiplication of fractions and mixed numbers.

Multiplying Fractions

KY.5.NF.7: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

KY.5.NF.7.a: Interpret division of a unit fraction by a non-zero whole number and compute such quotients.

Dividing Fractions

KY.5.NF.7.b: Interpret division of a whole number by a unit fraction and compute such quotients.

Dividing Fractions

KY.5.NF.7.c: Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions.

Dividing Fractions

KY.5.MD: Measurement and Data

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

KY.5.MD.1: Convert among different size measurement units (mass, weight, liquid volume, length, time) within one system of units (metric system, U.S. standard system and time).

Cannonball Clowns (Number Line Estimation)
Unit Conversions

4.2: Understand and apply the statistics process.

KY.5.MD.2: Identify and gather data for statistical questions focused on both categorical and numerical data. Select an appropriate data display (bar graph, pictograph, dot plot). Make observations from the graph about the questions posed.

Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

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

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

KY.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)

KY.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)

KY.5.MD.4: Measure volumes by counting unit cubic cm, cubic in, cubic ft. and improvised units.

Balancing Blocks (Volume)

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

KY.5.MD.5.a: Find the volume of a right 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, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes.

Balancing Blocks (Volume)

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

Balancing Blocks (Volume)

KY.5.MD.5.c: Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Balancing Blocks (Volume)

KY.5.G: Geometry

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

KY.5.G.1: Use a pair 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. 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.

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

KY.5.G.2: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.

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

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

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

Classifying Quadrilaterals
Classifying Triangles

KY.5.G.4: Classify two-dimensional figures in a hierarchy based on properties.

Classifying Quadrilaterals
Classifying Triangles

Correlation last revised: 1/22/2020

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