Core Ideas
  • Core Idea 1: Number Properties
    • Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
    • Count with understanding and recognize “how many” in a set of objects.
    • Develop a sense of whole numbers and represent and use them in flexible ways.
    • Develop understanding of the relative magnitude and position of whole numbers.
    • Use multiple models to develop initial understandings of the base-ten number system.
    • Connect number words and numerals to the quantities they represent, using various physical models and representations.
  • 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.
    • Understand the effects of adding and subtracting whole numbers.
    • Develop relationships within addition and subtraction combinations.
    • Develop and use strategies to estimate.
  • Core Idea 3: Patterns, Functions, and Algebra
    • Understand patterns and use mathematical models to represent and understand qualitative and quantitative relationships.
    • Sort, classify, and order objects by size, number, and other properties.
    • Recognize, describe, and extend patterns of sound, shape, or number.
    • Model 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.
    • Recognize attributes and/or parts of common two- and three-dimensional shapes.
    • Sort, name, and compare common two-dimensional shapes (circle, triangle, rectangle).
    • Compare the length, weight, and capacity of objects by making direct comparisons.
    • Develop an understanding of the concepts of time (day, month, seasons).
  • Core Idea 5: Data Analysis
    • Students collect, organize, display, and interpret data about themselves and their surroundings.
    • Collect information from class-generated survey question.
    • Represent data using concrete objects, pictures, Venn diagrams, and picture graphs.
    • Compare parts of the data and the set of data as a whole to determine what the data shows.
 


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