- Core Idea 1: Number Properties
- Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
- Understand whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.
- Understand the relative magnitude of whole numbers and the concepts of sequences, quantity, and the relative position of numbers.
- Demonstrate an understanding of the base-ten number system and place value concepts.
- Represent commonly used fractions such as 1/2, 1/3, and 1/4 in a variety of ways.
- Core Idea 2: Number Operations
- Understand the meanings of operations and how they relate to each other, make reasonable estimates, and compute fluently.
- Demonstrate fluency in adding and subtracting whole numbers.
- Use strategies to estimate and judge the reasonableness of results.
- Understand situations that entail multiplication and division such as equal groupings of objects and equal sharing.
- Core Idea 3: Patterns, Functions, and Algebra
- Understand patterns and use mathematical models to represent and understand qualitative and quantitative relationships.
- Describe, extend, and create patterns of sound, shape, and number and translate from one representation to another.
- Describe, extend, and create growing as well as repeating patterns.
- Compare principles and properties of operations, such as commutativity, between addition and subtraction.
- Use concrete, pictorial, and verbal representations to develop an understanding of symbolic notations.
- Describe change quantitatively such as a student's growing two inches in one year.
- Core Idea 4: Geometry and Measurement
- Recognize and use characteristics, properties, and relationships of two- and three-dimensional geometric shapes and apply appropriate techniques to determine measurements.
- Describe and classify two- and three-dimensional shapes according to their attributes and/or parts of their shapes
- Develop an understanding of how shapes can be put together or taken apart to form other shapes.
- Develop an understanding of line symmetry.
- Understand how to measure using non-standard and standard units.
- Select an appropriate unit and tool for the attribute being measured (length, volume, weight, area, time).
- Use number concepts in geometric contexts.
- Core Idea 5: Data Analysis
- Collect, organize, display, and interpret data about themselves and their surroundings.
- Write a survey question for a given situation.
- Represent and interpret data using pictographs, bar graphs, tally charts, Venn diagrams, and other representations.
- Describe and compare data using qualitative and quantitative measures.
- Represent the same data in more than one way.