1.N.1.1.f decompose and recombine numbers using manipulatives (e.g., by breaking numbers apart and recombining) to create and construct equivalent representations for the same number (e.g., 10 = 3 + 7 or 1 + 2 + 7 or 3 + 2 + 5)
1.N.3 Compute fluently and make reasonable estimates.
1.N.3.1 Use strategies for whole-number computation, with a focus on addition and subtraction (e.g., counting on or counting back, doubles, sums that make 10, direct modeling with pictures or objects, numerical reasoning based on number combinations and relationships).
1.N.3.3 Perform addition and subtraction with whole number combinations.
1.N.3.4 Use and explain estimation strategies to determine the reasonableness of answers involving addition and subtraction.
1 Students will understand algebraic concepts and applications.
1.A.1 Understand patterns, relations, and functions.
1.A.1.1 Recognize, reproduce, describe, extend, and create repeating patterns (e.g., color, shape, size, sound, movement, simple numbers) and translate from one representation to another (e.g., red, red, blue, blue to step, step, clap, clap).
1.G.1.1.d participate in discussions comparing, identifying, and analyzing attributes to develop the vocabulary needed to describe two- and three-dimensional geometric shapes and their attributes (e.g., sides, corners, edges, faces)
1.G.4.3 Participate in activities to develop mental visualization and spatial memory (e.g., "quick image" activities that require students to recall or reproduce a configuration of dots on a card or to determine the number of dots without counting).
1.G.4.4 Describe how to get from one location to another by visualizing the landmarks along the route.
1.D.2.1.b determine whether or not the data gathered helps answer the specific question that was posed
1.D.2.1.c compare parts of the data (e.g., "How many students have lost none, one, two, or three teeth?") to make statements about the data as a whole (e.g., "Most students in the class have lost only two teeth")
1.D.3 Develop and evaluate inferences and predictions that are based on data.
1.D.3.1 Make conclusions based on data (e.g., whether or not other groups would reach similar conclusions based on the same data).
1.D.4 Understand and apply basic concepts of probability.
1.D.4.1 Discuss the likelihood of events (based on student experiences or from books) using terminology such as "more likely", "less likely", "possible", or "certain".
1.D.4.2 Observe, explore, and discuss whether some events occur more often than others (e.g., tossing two die and recording the sum after each toss to explore whether or not certain sums occur more frequently than others).