NCTM Numbers and Operations

N1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

NCTM Numbers and Operations

N2: Understand meanings of operations and how they relate to one another

NCTM Numbers and Operations

N3: Compute fluently and make reasonable estimates

NCTM Algebra

A1: Understand patterns, relations, and functions

NCTM Algebra

A2: Represent and analyze mathematical situations and structures using algebraic symbols

NCTM Algebra

A3: Use mathematical models to represent and understand quantitative relationships

NCTM Algebra

A4: Analyze change in various contexts

NCTM Geometry

G1: Analyze characteristics and properties of two- and three-dimensional shapes and develop mathematical arguments about geometric relationships

NCTM Geometry

G2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems

NCTM Geometry

G3: Apply transformations and use symmetry to analyze mathematical situations

NCTM Geometry

G4: Use visualization, spatial reasoning, and geometric modeling to solve problems

NCTM Measurement

M1: Understand measurable attributes of objects and the units, systems, and processes of measurement

NCTM Measurement

M2: Apply appropriate techniques, tools, and formulas to determine measurements

NCTM Data Analysis and Probability

D1: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them

NCTM Data Analysis and Probability

D2: Select and use appropriate statistical methods to analyze data

NCTM Data Analysis and Probability

D3: Develop and evaluate inferences and predictions that are based on data

NCTM Data Analysis and Probability

D4: Understand and apply the basic concepts of probability

IELD Goal 6

Demonstrate and apply a knowledge and sense of numbers, including numeration and operations.

6A: Demonstrate beginning understanding of numbers, number names, and numerals.

IELD Goal 6

Demonstrate and apply a knowledge and sense of numbers, including numeration and operations.

6B: Add and subtract to create new numbers and begin to construct sets.

IELD Goal 6

Demonstrate and apply a knowledge and sense of numbers, including numeration and operations.

6C: Begin to make reasonable estimates of numbers.

IELD Goal 6

Demonstrate and apply a knowledge and sense of numbers, including numeration and operations.

6D: Compare quantities using appropriate vocabulary terms.

IELD Goal 7

Explore measurement of objects and quantities.

7A: Measure objects and quantities using direct comparison methods and nonstandard units.

IELD Goal 7

Explore measurement of objects and quantities.

7B: Begin to make estimates of measurements.

IELD Goal 7

Explore measurement of objects and quantities.

7C: Explore tools used for measurement.

IELD Goal 8

Identify and describe common attributes, patterns, and relationships in objects.

8A: Explore objects and patterns.

IELD Goal 8

Identify and describe common attributes, patterns, and relationships in objects.

8B: Describe and document patterns using symbols.

IELD Goal 9

Explore concepts of geometry and spatial relations.

9A: Recognize, name, and match common shapes.

IELD Goal 9

Explore concepts of geometry and spatial relations.

9B: Demonstrate an understanding of location and ordinal position, using appropriate vocabulary.

IELD Goal 10

Begin to make predictions and collect data information.

10A: Generate questions and processes for answering them.

IELD Goal 10

Begin to make predictions and collect data information.

10B: Organize and describe data and information.

IELD Goal 10

Begin to make predictions and collect data information.

10C: Determine, describe, and apply the probabilities of events.