KY.3.OA: Operations and Algebraic Thinking

1.1: Represent and solve problems involving multiplication and division.

KY.3.OA.1: Interpret and demonstrate products of whole numbers.

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

KY.3.OA.2: Interpret and demonstrate whole-number quotients of whole numbers, where objects are partitioned into equal shares.

No Alien Left Behind (Division with Remainders)

KY.3.OA.3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays and measurement quantities, by using drawings and equations with a symbol for the unknown number to represent the problem.

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

KY.3.OA.4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

Factor Trees (Factoring Numbers)

1.2: Understand properties of multiplication and the relationship between multiplication and division.

KY.3.OA.5: Apply properties of operations as strategies to multiply and divide.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)
Pattern Flip (Patterns)

KY.3.OA.6: Understand division as an unknown-factor problem.

Factor Trees (Factoring Numbers)

1.3: Multiply and divide within 100.

KY.3.OA.7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

1.4: Solve problems involving the four operations and identify and explain patterns in arithmetic.

KY.3.OA.8: Use various strategies to solve two-step word problems using the four operations (involving only whole numbers with whole number answers). Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Cargo Captain (Multi-digit Subtraction)
Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

KY.3.OA.9: Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Function Machines 1 (Functions and Tables)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)

KY.3.NBT: Numbers and Operations in Base Ten

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

KY.3.NBT.1: Use place value understanding to round whole numbers to the nearest 10 or 100.

Rounding Whole Numbers (Number Line)

KY.3.NBT.2: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations and/or the relationship between addition and subtraction.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Fractions Greater than One (Fraction Tiles)
Number Line Frog Hop (Addition and Subtraction)
Rounding Whole Numbers (Number Line)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

KY.3.NF: Numbers and Operations–Fractions

3.1: Develop understanding of fractions as numbers. Note: grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6 and 8.

KY.3.NF.1: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

KY.3.NF.2: Understand a fraction as a number on the number line; represent fractions on a number line.

KY.3.NF.2.a: Represent a fraction 1/b (unit fraction) on a number line by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts.

KY.3.NF.2.a.1: Recognize each part has size 1/b.

Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

KY.3.NF.2.a.2: a unit fraction, 1/b is located 1/b of a whole unit from 0 on the number line.

Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

KY.3.NF.2.b: Represent a non-unit fraction a/b on a number line by marking off a lengths of 1/b (unit fractions) from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the non-unit fraction a/b on the number line.

Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

KY.3.NF.3: Explain equivalence of fractions in special cases and compare fractions by reasoning about their size.

KY.3.NF.3.a: Understand two fractions as equivalent (equal) if they are the same size, or same point on a number line.

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.3.NF.3.b: Recognize and generate simple equivalent fractions. Explain why the fractions are equivalent through writing or drawing.

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.3.NF.3.c: Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers.

Equivalent Fractions (Fraction Tiles)

KY.3.NF.3.d: Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
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.3.MD: Measurement and Data

4.1: Solve problems involving measurement and estimation of intervals of time, liquid volumes and masses of objects.

KY.3.MD.1: Tell and write time to the nearest minute and measure elapsed time intervals in minutes. Solve word problems involving addition and subtraction of time intervals within and across the hour in minutes.

Elapsed Time

KY.3.MD.2: Measure and solve problems involving mass and liquid volume.

KY.3.MD.2.a: Measure and estimate masses and liquid volumes of objects using standard units of grams (g), kilograms (kg) and liters (L).

Measuring Volume
Weight and Mass

KY.3.MD.2.b: Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units.

Measuring Volume
Weight and Mass

4.2: Understand and apply the statistics process.

KY.3.MD.3: Investigate questions involving categorical data.

KY.3.MD.3.a: Identify a statistical question focused on categorical data and gather data;

Mascot Election (Pictographs and Bar Graphs)

KY.3.MD.3.b: Create a scaled pictograph and a scaled bar graph to represent a data set (using technology or by hand);

Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)

KY.3.MD.3.c: Make observations from the graph about the question posed, including “how many more” and “how many less” questions.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)

KY.3.MD.4: Investigate questions involving numerical data.

KY.3.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)

KY.3.MD.4.b: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch.

Reaction Time 1 (Graphs and Statistics)

KY.3.MD.4.c: Show the data by making a dot plot where the horizontal scale is marked off in appropriate units – whole numbers, halves, or quarters.

Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

KY.3.MD.4.d: Make observations from the graph about the question posed, including questions about the shape of the data and compare responses.

Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

4.3: Geometric measurement: understanding concepts of area and relate area to multiplication and to addition.

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

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

KY.3.MD.6: Measure areas by counting unit squares (square cm, square m, square in, square ft. and improvised units).

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

KY.3.MD.7: Relate area to the operations of multiplication and addition.

KY.3.MD.7.a: Find the area of a rectangle with whole-number side lengths by tiling it and show the area is the same as would be found by multiplying the side lengths.

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

KY.3.MD.7.b: Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems and represent whole-number products as rectangular areas in mathematical reasoning.

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

KY.3.MD.7.c: Use tiling to show in a concrete case the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.

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

KY.3.MD.7.d: Recognize area as additive. Find areas of figures that can be decomposed into non-overlapping rectangles by adding the areas of the non-overlapping parts, applying this technique to solve real world problems.

Chocomatic (Multiplication, Arrays, and Area)

4.4: Geometric measurement: Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

KY.3.MD.8: Solve real world and mathematical problems involving perimeters of polygons.

Fido's Flower Bed (Perimeter and Area)

KY.3.MD.8.a: Find the perimeter given the side lengths of a polygon.

Fido's Flower Bed (Perimeter and Area)

KY.3.MD.8.c: Draw rectangles with the same perimeter and different areas or with the same area and different perimeters.

Fido's Flower Bed (Perimeter and Area)

KY.3.G: Geometry

5.1: Reason with shapes and their attributes.

KY.3.G.1: Classify polygons by attributes.

KY.3.G.1.a: Recognize and classify polygons based on the number of sides and vertices (triangles, quadrilaterals, pentagons and hexagons).

Polygon Angle Sum

KY.3.G.1.b: Recognize and classify quadrilaterals (rectangles, squares, parallelograms, rhombuses, trapezoids) by side lengths and understanding shapes in different categories may share attributes and the shared attributes can define a larger category.

Classifying Quadrilaterals

KY.3.G.2: Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.

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