- Core Idea 1: Number Properties
- Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
- Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.
- Develop understanding of the relative magnitude of whole numbers and the concepts of sequences, quantity, and the relative positions of numbers.
- Understand conservation of quantity and number.
- Use multiple models to illustrate understandings of the base-ten number system and place value concepts.
- Understand that fractions are equal partitions.
- Core Idea 2: Number Operations
- Understand the meanings of operations and how they relate to each other, make reasonable estimates, and compute fluently.
- Develop an understanding of the different meanings of addition and subtraction of whole numbers and the relationship between the two operations.
- Develop fluency in adding and subtracting whole numbers within 20.
- Develop and use strategies to estimate and calculate.
- Begin to develop an understanding of the concepts of multiplication and division through situations 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 and extend patterns of sound, shape, or number and translate from one representation to another.
- Describe and extend growing as well as repeating patterns.
- Use the general principles and properties of operations, such as commutativity, with specific numbers.
- Model problem situations using objects, pictures, and symbols
- Describe change qualitatively, such as students growing taller or the weather turning colder.
- 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.
- Begin to describe and classify two- and three-dimensional shapes according to common attributes and/or parts of their shapes.
- Compare the length, weight, and volume of objects by using direct comparison or non-standard units.
- Develop an understanding of the standard units of measuring time.
- Core Idea 5: Data Analysis
- Students collect, organize, display, and interpret data about themselves and their surroundings.
- Collect information from group-generated survey question.
- Represent data using pictures, bar graphs, tally charts, Venn diagrams, and pictographs.
- Describe parts of the data and the set of data as a whole to determine what the data shows.
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Tools for Educators