NS: Number Sense

NS.1: Students understand the place value of whole numbers:

NS.1.3: Identify the place value for each digit in numbers to 10,000.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)

NS.1.4: Round off numbers to 10,000 to the nearest ten, hundred, and thousand.

Rounding Whole Numbers (Number Line)

NS.1.5: Use expanded notation to represent numbers (e.g., 3,206 = 3,000 + 200 + 6).

Cannonball Clowns (Number Line Estimation)

NS.2: Students calculate and solve problems involving addition, subtraction, multiplication, and division:

NS.2.1: Find the sum or difference of two whole numbers between 0 and 10,000.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

NS.2.2: Memorize to automaticity the multiplication table for numbers between 1 and 10.

Factor Trees (Factoring Numbers)

NS.2.3: Use the inverse relationship of multiplication and division to compute and check results.

Function Machines 3 (Functions and Problem Solving)

NS.2.6: Understand the special properties of 0 and 1 in multiplication and division.

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

NS.3: Students understand the relationship between whole numbers, simple fractions, and decimals:

NS.3.1: Compare fractions represented by drawings or concrete materials to show equivalency and to add and subtract simple fractions in context (e.g., 1/2 of a pizza is the same amount as 2/4 of another pizza that is the same size; show that 3/8 is larger than 1/4).

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)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

NS.3.2: Add and subtract simple fractions (e.g., determine that 1/8 + 3/8 is the same as 1/2).

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)

AF: Algebra and Functions

AF.1: Students select appropriate symbols, operations, and properties to represent, describe, simplify, and solve simple number relationships:

AF.1.5: Recognize and use the commutative and associative properties of multiplication (e.g., if 5 x 7 = 35, then what is 7 x 5? and if 5 x 7 x 3 = 105, then what is 7 x 3 x 5?).

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

AF.2: Students represent simple functional relationships:

AF.2.1: Solve simple problems involving a functional relationship between two quantities (e.g., find the total cost of multiple items given the cost per unit).

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

AF.2.2: Extend and recognize a linear pattern by its rules (e.g., the number of legs on a given number of horses may be calculated by counting by 4s or by multiplying the number of horses by 4).

Pattern Flip (Patterns)

MG: Measurement and Geometry

MG.1: Students choose and use appropriate units and measurement tools to quantify the properties of objects:

MG.1.2: Estimate or determine the area and volume of solid figures by covering them with squares or by counting the number of cubes that would fill them.

Balancing Blocks (Volume)
Measuring Motion

MG.1.3: Find the perimeter of a polygon with integer sides.

Fido's Flower Bed (Perimeter and Area)

SDAP: Statistics, Data Analysis, and Probability

SDAP.1: Students conduct simple probability experiments by determining the number of possible outcomes and make simple predictions:

SDAP.1.1: Identify whether common events are certain, likely, unlikely, or improbable.

Spin the Big Wheel! (Probability)

SDAP.1.2: Record the possible outcomes for a simple event (e.g., tossing a coin) and systematically keep track of the outcomes when the event is repeated many times.

Spin the Big Wheel! (Probability)

SDAP.1.3: Summarize and display the results of probability experiments in a clear and organized way (e.g., use a bar graph or a line plot).

Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

MR: Mathematical Reasoning

MR.1: Students make decisions about how to approach problems:

MR.1.1: Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

Pattern Flip (Patterns)

MR.2: Students use strategies, skills, and concepts in finding solutions:

MR.2.1: Use estimation to verify the reasonableness of calculated results.

Target Sum Card Game (Multi-digit Addition)