S.1: Number Sense, Properties, and Operations

S.1.GLE.1: The decimal number system describes place value patterns and relationships that are repeated in large and small numbers and forms the foundation for efficient algorithms

S.1.GLE.1.IQ: Inquiry Questions:

S.1.GLE.1.IQ.1: What is the benefit of place value system?

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

S.1.GLE.1.IQ.2: What would it mean if we did not have a place value system?

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

S.1.GLE.1.IQ.3: What is the purpose of a place value system?

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

S.1.GLE.1.IQ.4: What is the purpose of zero in a place value system?

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

S.1.GLE.1.RA: Relevance and Application:

S.1.GLE.1.RA.1: Place value is applied to represent a myriad of numbers using only ten symbols.

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

S.1.GLE.1.N: Nature of Mathematics:

S.1.GLE.1.N.2: Mathematicians look closely and make use of structure by discerning patterns.

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

S.1.GLE.2: Formulate, represent, and use algorithms with multi-digit whole numbers and decimals with flexibility, accuracy, and efficiency

S.1.GLE.2.IQ: Inquiry Questions:

S.1.GLE.2.IQ.1: How are mathematical operations related?

Factor Trees (Factoring Numbers)
Function Machines 3 (Functions and Problem Solving)

S.1.GLE.2.RA: Relevance and Application:

S.1.GLE.2.RA.1: Multiplication is an essential component of mathematics. Knowledge of multiplication is the basis for understanding division, fractions, geometry, and algebra.

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

S.1.GLE.2.RA.2: There are many models of multiplication and division such as the area model for tiling a floor and the repeated addition to group people for games.

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

S.1.GLE.3: Formulate, represent, and use algorithms to add and subtract fractions with flexibility, accuracy, and efficiency

S.1.GLE.3.IQ: Inquiry Questions:

S.1.GLE.3.IQ.1: How do operations with fractions compare to operations with whole numbers?

Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)

S.1.GLE.4: The concepts of multiplication and division can be applied to multiply and divide fractions

S.1.GLE.4.IQ: Inquiry Questions:

S.1.GLE.4.IQ.1: Do adding and multiplying always result in an increase? Why?

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
Number Line Frog Hop (Addition and Subtraction)
Target Sum Card Game (Multi-digit Addition)

S.1.GLE.4.IQ.2: Do subtracting and dividing always result in a decrease? Why?

Adding Fractions (Fraction Tiles)
Cargo Captain (Multi-digit Subtraction)
Equivalent Fractions (Fraction Tiles)
Modeling Fractions (Area Models)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

S.1.GLE.4.IQ.3: How do operations with fractional numbers compare to operations with whole numbers?

Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)

S.2: Patterns, Functions, and Algebraic Structures

S.2.GLE.1: Number patterns are based on operations and relationships

S.2.GLE.1.IQ: Inquiry Questions:

S.2.GLE.1.IQ.1: How do you know when there is a pattern?

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

S.2.GLE.1.N: Nature of Mathematics:

S.2.GLE.1.N.1: Mathematicians use creativity, invention, and ingenuity to understand and create patterns.

Pattern Finder
Pattern Flip (Patterns)

S.2.GLE.1.N.2: The search for patterns can produce rewarding shortcuts and mathematical insights.

Pattern Finder

S.3: Data Analysis, Statistics, and Probability

S.3.GLE.1: Visual displays are used to interpret data

S.3.GLE.1.IQ: Inquiry Questions:

S.3.GLE.1.IQ.1: How can you make sense out of the data you collect?

Reaction Time 2 (Graphs and Statistics)

S.3.GLE.1.RA: Relevance and Application:

S.3.GLE.1.RA.1: The collection and analysis of data provides understanding of how things work. For example, measuring the temperature every day for a year helps to better understand weather.

Reaction Time 2 (Graphs and Statistics)

S.4: Shape, Dimension, and Geometric Relationships

S.4.GLE.1: Properties of multiplication and addition provide the foundation for volume an attribute of solids.

S.4.GLE.1.IQ: Inquiry Questions:

S.4.GLE.1.IQ.1: Why do you think a unit cube is used to measure volume?

Balancing Blocks (Volume)

S.4.GLE.1.N: Nature of Mathematics:

S.4.GLE.1.N.1: Mathematicians create visual and physical representations of problems and ideas that reveal relationships and meaning.

Fraction, Decimal, Percent (Area and Grid Models)

S.4.GLE.2: Geometric figures can be described by their attributes and specific locations in the plane

S.4.GLE.2.IQ: Inquiry Questions:

S.4.GLE.2.IQ.1: How does using a coordinate grid help us solve real world problems?

Elevator Operator (Line Graphs)
Points in the Coordinate Plane

S.4.GLE.2.IQ.2: What are the ways to compare and classify geometric figures?

Classifying Quadrilaterals

S.4.GLE.2.IQ.3: Why do we classify shapes?

Classifying Quadrilaterals

S.4.GLE.2.RA: Relevance and Application:

S.4.GLE.2.RA.1: The coordinate grid is a basic example of a system for mapping relative locations of objects. It provides a basis for understanding latitude and longitude, GPS coordinates, and all kinds of geographic maps.

Points in the Coordinate Plane