3.1: Students understand the relationships among numbers, quantities, and place value in whole numbers up to 1,000. They understand the relationship among whole numbers, simple fractions, and decimals.

3.1.2: Identify and interpret place value in whole numbers up to 1,000.

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

3.1.3: Use words, models, and expanded form to represent numbers up to 1,000.

Fraction, Decimal, Percent (Area and Grid Models)

3.1.4: Identify any number up to 1,000 in various combinations of hundreds, tens, and ones.

Cannonball Clowns (Number Line Estimation)
Rounding Whole Numbers (Number Line)
Target Sum Card Game (Multi-digit Addition)

3.1.6: Round numbers less than 1,000 to the nearest ten and the nearest hundred.

Rounding Whole Numbers (Number Line)

3.1.8: Show equivalent fractions using equal parts.

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)

3.1.9: Identify and use correct names for numerators and denominators.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

3.1.10: Given a pair of fractions, decide which is larger or smaller by using objects or pictures.

Equivalent Fractions (Fraction Tiles)

3.1.12: Given a decimal for tenths, show it as a fraction using a place-value model.

Fraction, Decimal, Percent (Area and Grid Models)

3.1.13: Interpret data displayed in a circle graph and answer questions about the situation.

Graphing Skills

3.1.14: Identify whether everyday events are certain, likely, unlikely, or impossible.

Spin the Big Wheel! (Probability)

3.1.15: Record the possible outcomes for a simple probability experiment.

Spin the Big Wheel! (Probability)

3.2: Students solve problems involving addition and subtraction of whole numbers. They model and solve simple problems involving multiplication and division.

3.2.1: Add and subtract whole numbers up to 1,000 with or without regrouping, using relevant properties of the number system.

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

3.2.2: Represent the concept of multiplication as repeated addition.

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

3.2.3: Represent the concept of division as repeated subtraction, equal sharing, and forming equal groups.

No Alien Left Behind (Division with Remainders)

3.2.5: Show mastery of multiplication facts for 2, 5, and 10.

Critter Count (Modeling Multiplication)

3.2.6: Add and subtract simple fractions with the same denominator.

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

3.2.7: Use estimation to decide whether answers are reasonable in addition and subtraction problems.

Adding Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)

3.2.8: Use mental arithmetic to add or subtract with numbers less than 100.

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Cargo Captain (Multi-digit Subtraction)
Fractions Greater than One (Fraction Tiles)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Decimals (Base-10 Blocks)

3.3: Students select appropriate symbols, operations, and properties to represent, describe, simplify, and solve simple number and functional relationships.

3.3.4: Understand and use the commutative and associative rules of multiplication.

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

3.3.5: Create, describe, and extend number patterns using multiplication.

Function Machines 1 (Functions and Tables)

3.3.6: Solve simple problems involving a functional relationship between two quantities.

Factor Trees (Factoring Numbers)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Pattern Flip (Patterns)

3.3.7: Plot and label whole numbers on a number line up to 10.

Number Line Frog Hop (Addition and Subtraction)

3.4: Students describe and compare the attributes of plane and solid geometric shapes and use their understanding to show relationships and solve problems.

3.4.1: Identify quadrilaterals as four-sided shapes.

Classifying Quadrilaterals

3.4.7: Draw line segments and lines.

Elevator Operator (Line Graphs)

3.4.8: Identify and draw lines of symmetry in geometric shapes (by hand or using technology).

Quilting Bee (Symmetry)

3.5: Students choose and use appropriate units and measurement tools for length, capacity, weight, temperature, time, and money.

3.5.2: Add units of length that may require regrouping of inches to feet or centimeters to meters.

Cannonball Clowns (Number Line Estimation)

3.5.3: Find the perimeter of a polygon.

Fido's Flower Bed (Perimeter and Area)

3.5.4: Estimate or find the area of shapes by covering them with squares.

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

3.5.5: Estimate or find the volume of objects by counting the number of cubes that would fill them.

Balancing Blocks (Volume)
Cannonball Clowns (Number Line Estimation)

3.5.9: Tell time to the nearest minute and find how much time has elapsed.

Elapsed Time

3.5.12: Carry out simple unit conversions within a measurement system (e.g., centimeters to meters, hours to minutes).

Cannonball Clowns (Number Line Estimation)

3.6: Problem Solving

3.6.1: Analyze problems by identifying relationships, telling relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

Function Machines 2 (Functions, Tables, and Graphs)
Pattern Flip (Patterns)