First-graders develop an understanding of the numeration system by
relating counting, grouping, and place-value concepts. Activities
include measuring with Unifix cubes and using base-ten blocks. NCTM
standards: number sense and numeration, measur...ement, connections.[more]

Creating quilt squares from construction paper, first graders develop
spatial sense as they discuss and handle different shapes. They connect geometric ideas to number ideas as they cut squares into congruent triangles. NCTM standards: geometry and ...spacial sense, patterns and relationships, communication, connections.[more]

Fourth- and fifth-graders develop number sense and meaning for large numbers by estimating how many bison, elk, and pronghorn they saw on a field trip to Yellowstone National Park. Students debate and justify their estimates verbally and in writing. ...NCTM standards: number sense and numeration, estimation, problem solving, connections.[more]

Pairs of second-graders explore subtraction, based on the number of
plants sprouting from the bean-seeds they have planted. The importance of context for student understanding, and various approaches to problem-solving, are exemplified. NCTM Standar...ds: concepts of whole number operations, reasoning, problem solving, communication.[more]

Kindergarteners sort Unifix cubes in various ways, focusing on the
properties of the objects’ similarities and differences. By creating
patterns, children develop an early understanding of geometry. NCTM
standards: concepts of whole number operati...ons, number sense and
numeration, communication, reasoning.[more]

Kindergarteners matched with sixth-grade coaches experience the numbers 1 through 50 through various activities involving hands-on experiences and common objects. NCTM standards: number sense and numeration, communication, connections.

First-graders are asked how many vehicles could be in a parking lot if
the total number of wheels is 24. Students review each step of the
problem-solving process before they decide on which materials to use
and develop strategies. NCTM standards: ...whole number computation,
concepts of whole number operations, problem solving, communication.[more]

A fourth-grade class shares their reasoning in evaluating the
appropriateness of different computational methods (base-ten blocks,
calculators, mental math, or paper and pencil) to specific problems.
NCTM standards: whole number computation, estim...ation, communication,
reasoning.[more]

Second- and third-graders use calculators, paper and pencil, and mental math within a realistic task. Students plan the decorating of their milk carton houses using spatial sense to select appropriate
furnishings while staying within their allocated... budget. NCTM
standards: whole number computation, geometry and spacial sense,
connections, communication.[more]

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