KY.4.OA: Operations and Algebraic Thinking

1.1: Use the four operations with whole numbers to solve problems.

KY.4.OA.1: Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative comparisons as multiplication equations.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)

KY.4.OA.2: Multiply or divide to solve word problems involving multiplicative comparisons by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

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

KY.4.OA.3: Solve multistep problems.

KY.4.OA.3.a: Perform operations in the conventional order when there are no parentheses to specify a particular order.

Order of Operations

KY.4.OA.3.b: Solve multistep word problems posed with whole numbers and having whole number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computations and estimation strategies including rounding.

Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Chocomatic (Multiplication, Arrays, and Area)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Target Sum Card Game (Multi-digit Addition)

1.2: Gain familiarity with factors and multiples.

KY.4.OA.4: Find factors and multiples of numbers in the range 1-100.

KY.4.OA.4.a: Find all factor pairs for a given whole number.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models

KY.4.OA.4.b: Recognize that a whole number is a multiple of each of its factors.

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

KY.4.OA.4.c: Determine whether a given whole number is a multiple of a given one-digit number.

Factor Trees (Factoring Numbers)

KY.4.OA.4.d: Determine whether a given whole number is prime or composite.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models

1.3: Generate and analyze patterns.

KY.4.OA.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern not explicit in the rule itself.

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

KY.4.NBT: Number and Operations in Base Ten

2.1: Generalize place value understanding for multi-digit whole numbers.

KY.4.NBT.1: Recognize in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

KY.4.NBT.2: Represent and compare multi-digit whole numbers.

KY.4.NBT.2.a: Read and write multi-digit whole numbers using base-ten numerals, number names and expanded form.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

KY.4.NBT.2.b: Compare two multi-digit numbers based on meanings of the digit in each place, using >, =, and < symbols to record the results of comparisons.

Comparing and Ordering Decimals

KY.4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.

Rounding Whole Numbers (Number Line)

2.2: Use place value understanding and properties of operations to perform multi-digit arithmetic.

KY.4.NBT.4: Fluently add and subtract multi-digit whole numbers using an algorithm.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

KY.4.NBT.5.i: Multiply whole numbers

KY.4.NBT.5.i.1: Up to four digit number by a one-digit number

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

KY.4.NBT.5.i.2: Two-digit number by two-digit number

Chocomatic (Multiplication, Arrays, and Area)

KY.4.NBT.5.ii: Multiply using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays and/or area models.

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

KY.4.NBT.6.i: Divide up to four-digit dividends by one-digit divisors. Find whole number quotients and remainders using:

KY.4.NBT.6.i.2: the properties of operations

No Alien Left Behind (Division with Remainders)

KY.4.NBT.6.i.3: the relationship between multiplication and division

Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

KY.4.NBT.6.ii: Illustrate and explain the calculation by using equations, rectangular arrays and/or area models.

No Alien Left Behind (Division with Remainders)

KY.4.NF: Number and Operations–Fractions

3.1: Extend understanding of fraction equivalence and ordering.

KY.4.NF.1: Understand and generate equivalent fractions.

KY.4.NF.1.a: Use visual fraction models to recognize and generate equivalent fractions that have different numerators/denominators even though they are the same size.

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)

KY.4.NF.1.b: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b).

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)

KY.4.NF.2: Compare two fractions with different numerators and different denominators using the symbols <, =, or >. Recognize comparisons are valid only when the two fractions refer to the same whole. Justify the conclusions.

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)

3.2: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

KY.4.NF.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

KY.4.NF.3.a: Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

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

KY.4.NF.3.b: Decomposing a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions.

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)

KY.4.NF.3.c: Add and subtract mixed numbers with like denominators.

Fractions Greater than One (Fraction Tiles)
Improper Fractions and Mixed Numbers

KY.4.NF.3.d: Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

Fraction Artist 2 (Area Models of Fractions)
Improper Fractions and Mixed Numbers

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

KY.4.NF.4.a: Understand a fraction a/b as a multiple of 1/b.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

KY.4.NF.4.b: Understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a fraction by a whole number.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

3.3: Understand decimal notation for fractions and compare decimal fractions.

KY.4.NF.5: Convert and add fractions with denominators of 10 and 100.

KY.4.NF.5.a: Convert a fraction with a denominator of 10 to an equivalent fraction with a denominator of 100.

Fraction, Decimal, Percent (Area and Grid Models)

KY.4.NF.5.b: Add two fractions with respective denominators 10 and 100.

Adding Fractions (Fraction Tiles)

KY.4.NF.6: Use decimal notation for fractions with denominators 10 or 100.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

KY.4.NF.7: Compare two decimals to hundredths.

KY.4.NF.7.a: Compare two decimals to hundredths by reasoning about their size.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Treasure Hunter (Decimals on the Number Line)

KY.4.NF.7.b: Recognize that comparisons are valid only when the two decimals refer to the same whole.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

KY.4.NF.7.c: Record the results of comparisons with the symbols >, =, or < and justify the conclusions.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

KY.4.MD: Measurement and Data

4.1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

KY.4.MD.1: Know relative size of measurement units (mass, weight, liquid volume, length, time) within one system of units (metric system, U.S. standard system and time).

KY.4.MD.1.a: Understand the relationship of measurement units within any given measurement system.

Cannonball Clowns (Number Line Estimation)
Elapsed Time

KY.4.MD.1.b: Within any given measurement system, express measurements in a larger unit in terms of a smaller unit.

Cannonball Clowns (Number Line Estimation)

KY.4.MD.2: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects and money.

KY.4.MD.2.a: Solve measurement problems involving whole number, simple fractions or decimals.

Cannonball Clowns (Number Line Estimation)
Elapsed Time
Measuring Motion
Measuring Volume
Road Trip (Problem Solving)
Weight and Mass

KY.4.MD.2.b: Solve problems that require converting a given measurement from a larger unit to a smaller unit within a common measurement system, such as 2 km = 2,000 m.

Cannonball Clowns (Number Line Estimation)
Elapsed Time
Measuring Motion

KY.4.MD.2.c: Visually display measurement quantities using representations such as number lines that feature a measurement scale.

Cannonball Clowns (Number Line Estimation)

KY.4.MD.3: Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

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

4.2: Understand and apply the statistics process.

KY.4.MD.4: Use dot plots to analyze data to a statistical question.

KY.4.MD.4.a: Identify a statistical question focused on numerical data.

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

4.3: Geometric measurement: understand concepts of angle and measure angles.

KY.4.MD.5: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint and understand concepts of angle measurement.

Investigating Angle Theorems

KY.4.MD.6: Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Investigating Angle Theorems

KY.4.MD.7: Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems.

Investigating Angle Theorems

KY.4.G: Geometry

5.1: Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

KY.4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse) and perpendicular and parallel lines. Identify these in two-dimensional figures.

City Tour (Coordinates)
Classifying Quadrilaterals
Classifying Triangles
Elevator Operator (Line Graphs)
Parallel, Intersecting, and Skew Lines

KY.4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence of absence of angles of a specified size. Recognize right triangles as a category and identify right triangles.

Classifying Quadrilaterals
Classifying Triangles

KY.4.G.3: Identify lines of symmetry.

KY.4.G.3.a: Recognize a line of symmetry for a two-dimensional figure.

Quilting Bee (Symmetry)

KY.4.G.3.b: Identify line-symmetric figures and draw lines of symmetry.

Quilting Bee (Symmetry)

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.