NY-3.OA: Operations and Algebraic Thinking

1.1: Represent and solve problems involving multiplication and division.

NY-3.OA.1: Interpret products of whole numbers.

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

NY-3.OA.2: Interpret whole-number quotients of whole numbers.

No Alien Left Behind (Division with Remainders)

NY-3.OA.3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.

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

1.1.3.1: e.g., 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)

NY-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.

NY-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)

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

Factor Trees (Factoring Numbers)

1.3: Multiply and divide within 100.

NY-3.OA.7a: Fluently solve single-digit multiplication and related divisions, using strategies such as the relationship between multiplication and division or properties of operations.

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

1.3.1.1: e.g., Knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
Pattern Flip (Patterns)

NY-3.OA.7b: Know from memory all products of two one-digit numbers.

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
Pattern Flip (Patterns)

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

NY-3.OA.8: Solve two-step word problems posed with whole numbers and having whole-number answers using the four operations.

Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Using Algebraic Equations
Using Algebraic Expressions

NY-3.OA.8.a: Represent these problems using equations or expressions with a letter standing for the unknown quantity.

Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Using Algebraic Equations
Using Algebraic Expressions

NY-3.OA.8.b: Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Using Algebraic Equations
Using Algebraic Expressions

NY-3.OA.9: Identify and extend arithmetic patterns (including patterns in the addition table or multiplication table).

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

NY-3.NBT: Number and Operations in Base Ten

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

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

Rounding Whole Numbers (Number Line)

NY-3.NBT.2: Fluently add and subtract within 1,000 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

NY-3.NBT.4a: Understand that the digits of a four-digit number represent amounts of thousands, hundreds, tens, and ones.

Whole Numbers with Base-10 Blocks

NY-3.NF: Number and Operations—Fractions

3.1: Develop understanding of fractions as numbers.

NY-3.NF.1: Understand a unit fraction, 1/b, is 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)

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

NY-3.NF.2.a: Represent a fraction 1/b on a number line by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part starting at 0 locates the number 1/b on the number line.

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

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

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

NY-3.NF.3: Explain equivalence of fractions and compare fractions by reasoning about their size.

NY-3.NF.3.a: Understand two fractions as equivalent (equal) if they are the same size, or the 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)

NY-3.NF.3.b: Recognize and generate equivalent fractions. Explain why the fractions are equivalent.

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)

NY-3.NF.3.d: Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons rely on the two fractions referring 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)

NY-3.MD: Measurement and Data

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

NY-3.MD.1: Tell and write time to the nearest minute and measure time intervals in minutes. Solve one-step word problems involving addition and subtraction of time intervals in minutes.

Elapsed Time

4.1.1.1: e.g., representing the problem on a number line or other visual model

Elapsed Time

NY-3.MD.2a: Measure and estimate liquid volumes and masses of objects using grams (g), kilograms (kg), and liters (l).

Cannonball Clowns (Number Line Estimation)

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

Cannonball Clowns (Number Line Estimation)

4.1.3.1: e.g., using drawings (such as a beaker with a measurement scale) to represent the problem

Cannonball Clowns (Number Line Estimation)

4.2: Represent and interpret data.

NY-3.MD.3: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in a scaled picture graph or a scaled bar graph.

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

NY-3.MD.4: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters.

Reaction Time 2 (Graphs and Statistics)

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

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

NY-3.MD.5.a: Recognize a square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area.

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

NY-3.MD.5.b: Recognize a plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.

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

NY-3.MD.6: Measure areas by counting unit squares.

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

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

NY-3.MD.7.a: Find the area of a rectangle with whole-number side lengths by tiling it, and show that 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)

NY-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)

NY-3.MD.7.c: Use tiling to show in a concrete case that the area of a rectangle with whole-number side length a and side length 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)

NY-3.MD.7.d: Recognize area as additive. Find areas of figures composed of non-overlapping rectangles, and apply 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.

NY-3.MD.8a: Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths or finding one unknown side length given the perimeter and other side lengths.

Fido's Flower Bed (Perimeter and Area)

NY-3.MD.8b: Identify rectangles with the same perimeter and different areas or with the same area and different perimeters.

Fido's Flower Bed (Perimeter and Area)

NY-3.G: Geometry

5.1: Reason with shapes and their attributes.

NY-3.G.1: Recognize and classify polygons based on the number of sides and vertices (triangles, quadrilaterals, pentagons, and hexagons). Identify shapes that do not belong to one of the given subcategories.

Classifying Quadrilaterals

NY-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 2 (Area Models of Fractions)
Modeling Fractions (Area Models)