#### 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?

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

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

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

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.

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.

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?

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.

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.

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?

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?

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

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

#### 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?

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.

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

#### 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?

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.

#### 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?

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.

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?

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

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

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.

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.