3.OA: Operations and Algebraic Thinking

1.1: Represent and solve problems involving multiplication and division.

3.OA.1: Interpret and model products of whole numbers.

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

3.OA.2: Interpret and model whole-number quotients of whole numbers, as the number in a group or the number of groups.

No Alien Left Behind (Division with Remainders)

3.OA.3: Using drawings and equations with a symbol for an unknown number, solve multiplication and division word problems within 100 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)

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.

3.OA.5: Apply properties of operations as strategies to multiply and divide (without the use of formal terms).

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

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

Factor Trees (Factoring Numbers)

1.3: Multiply and divide within 100.

3.OA.7: Using mental strategies, fluently multiply and divide within 100.

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.

3.OA.8.i: Solve two-step word problems using the four operations. Represent these problems using equations 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

3.OA.8.ii: Assess the reasonableness of answers using mental computation and estimation strategies.

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

3.OA.9: Identify arithmetic patterns, and explain them using properties of operations.

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

3.NBT: Number and Operations in Base Ten

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

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

Rounding Whole Numbers (Number Line)

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

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

3.NF: Number and Operations - Fractions

3.1: Develop understanding of fractions as numbers.

3.NF.1.i: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts.

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)

3.NF.1.ii: 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)

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

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

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

3.NF.2.a.ii: Recognize that each part has size 1/b and that the endpoint of the part based 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)

3.NF.2.b.i: Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0.

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

3.NF.2.b.ii: 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)

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

3.NF.3.i.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)

3.NF.3.ii: Recognize and generate simple equivalent fractions.

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.NF.3.ii.b: Explain why the fractions are equivalent using a visual fraction model.

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)

3.1.5.1.1: Example: 1/2 = 2/4, 4/6 = 2/3.

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.NF.3.ii.c: Recognize fractions, a/1 or a/a, that are equivalent to whole numbers. Express whole numbers as fractions, a/1 or a/a.

Equivalent Fractions (Fraction Tiles)

3.NF.3.ii.d: Compare two fractions with the same numerator or the same denominator by reasoning about their size.

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)

3.NF.3.ii.e: Recognize that comparisons are valid only when the two fractions refer to the same whole.

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)

3.NF.3.ii.f: Record the results of comparisons with the symbols >, =, or <, and justify the conclusions by using a visual fraction model.

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)

3.MD: Measurement and Data

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

3.MD.1.i: Tell and write time to the nearest minute and measure time intervals in minutes.

Elapsed Time

3.MD.1.ii: Solve elapsed time word problems on the hour and the half hour, using a variety of strategies.

Elapsed Time

4.1.2.1: Problems may be represented on a number line diagram, by addition or subtraction of time intervals in minutes, or on a clock face.

Elapsed Time

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

Cannonball Clowns (Number Line Estimation)

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

Cannonball Clowns (Number Line Estimation)

4.2: Represent and interpret data.

3.MD.3.i: Draw scaled picture graphs and scaled bar graphs to represent data sets with several categories.

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

3.MD.3.ii: Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs.

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

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

Reaction Time 2 (Graphs and Statistics)

3.MD.4.ii: Show the data by making a line plot, where the horizontal scale is marked 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.

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

3.MD.5.a: A square with a 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)

3.MD.5.b: 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)

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)

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

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)

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)

3.MD.7.c: Use tiling to show in a concrete case that 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)

3.MD.7.d: Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the nonoverlapping 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.

3.MD.8.i: Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths.

Fido's Flower Bed (Perimeter and Area)

3.MD.8.ii: Find an unknown side length.

Fido's Flower Bed (Perimeter and Area)

3.MD.8.iii: Exhibit rectangles with the same perimeter and different area or with the same area and different perimeters.

Fido's Flower Bed (Perimeter and Area)

3.G: Geometry

5.1: Reason with shapes and their attributes.

3.G.1.i: Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals).

Classifying Quadrilaterals

3.G.1.ii: Recognize rhombuses, rectangles, and squares as examples of quadrilaterals.

Classifying Quadrilaterals

3.G.1.iii: Draw examples of quadrilaterals that do not belong to any of these subcategories.

Classifying Quadrilaterals

3.G.2.i: Partition shapes into parts with equal areas.

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

3.G.2.ii: 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)
Modeling Fractions (Area Models)

Correlation last revised: 9/22/2020

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