3.OA: Operations and Algebraic Thinking

1.1: Represent and solve problems involving multiplication and division.

3.OA.1: Students will: Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.

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

3.OA.2: Students will: Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each.

No Alien Left Behind (Division with Remainders)

3.OA.3: Students will: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., 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)

3.OA.4: Students will: 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: Students will: Apply properties of operations as strategies to multiply and divide.

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

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

Factor Trees (Factoring Numbers)

1.3: Multiply and divide within 100.

3.OA.7: Students will: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

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.

3.OA.8: Students will: Solve two-step word problems using the four operations. 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)
Using Algebraic Equations
Using Algebraic Expressions

3.OA.9: Students will: 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)

3.NBT: Number and Operations in Base Ten

2.1: Use place value understanding and properties of operations to perform multi-digit arithmetic. (A range of algorithms may be used.)

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

Rounding Whole Numbers (Number Line)

3.NBT.11: Students will: 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

3.NF: Number and Operations-Fractions

3.1: Develop understanding of fractions as numbers.

3.NF.13: Students will: 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 and 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.14: Students will: Understand a fraction as a number on the number line; represent fractions on a number line diagram.

3.NF.14.a: 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. 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.14.b: Represent a fraction a/b on a number line diagram 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)

3.NF.15: Students will: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

3.NF.15.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.15.b: Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by 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.NF.15.c: Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

Equivalent Fractions (Fraction Tiles)

3.NF.15.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, e.g., 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.16: Students will: Tell and write time to the nearest minute, and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.

Elapsed Time

3.MD.17: Students will: Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.

Cannonball Clowns (Number Line Estimation)
Measuring Volume
Weight and Mass

4.2: Represent and interpret data.

3.MD.18: Students will: 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 scaled bar graphs.

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

3.MD.19: Students will: 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 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

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

3.MD.20: Students will: Recognize area as an attribute of plane figures, and understand concepts of area measurement.

3.MD.20.a: 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)

3.MD.20.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.21: Students will: 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.22: Students will: Relate area to the operations of multiplication and addition.

3.MD.22.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.22.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.

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

3.MD.22.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.22.d: Recognize area as additive. Find areas of rectilinear figures by decomposing them into nonoverlapping rectangles and adding the areas of the nonoverlapping parts, applying this technique to solve real-world problems.

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

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

3.MD.23: Students will: Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas 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.24: Students will: 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). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

Classifying Quadrilaterals

3.G.25: Students will: 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)
Modeling Fractions (Area Models)