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Teachers — Training of
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Estimation Theory
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1.

## Pumpkin Seeds [electronic resource]

A grade 1-2 class, working in groups, develops their sense of larger numbers by estimating and counting the number of seeds in pumpkins. Covers the following NCTM standards: number sense and numeration, estimation, communication, and reasoning.
Online
1997
2.

## Animals in Yellowstone [electronic resource]

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. Covers the following NCTM standards: number sense and numeration, estimation, problem solving, and connections.
Online
1997
3.

## Choose a Method [electronic resource]

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. Covers the following NCTM standards: whole number computation, estimation, communication, and reasoning.
Online
1997
4.

## How Long Is a Minute? [electronic resource]

Having already studied the concept of an hour, first-graders investigate time as a measure of duration. They list activities, such as writing their name, that could be accomplished within a minute, then estimate how many times in one minute they could do it. Covers the following NCTM standards: measurement, estimation, reasoning, and connections.
Online
1997
5.

## Balloon Travel [electronic resource]

In an integrated math/science lesson, second- and third-graders collect data to answer questions such as, "What is the farthest a balloon can travel before falling?" To answer the question, they must understand distance, volume, capacity, and time. Covers the following NCTM standards: measurement, estimation, connection, and problem solving.
Online
1997
6.

## Beans, Beans, Beans [electronic resource]

Kindergarteners sharpen their estimation skills and number sense as part of a unit on plants and seeds. Using three known quantities for reference, student groups must estimate the number of an unknown quantity of beans, and then count the beans by tens. Covers the following NCTM standards: estimation, number sense and numeration, reasoning, and communication.
Online
1997
7.

## How Many People Will Fit? [electronic resource]

First-graders investigate the concept of area by figuring out how many people will fit in four different areas in the school building. They organize and record solutions and use measuring, counting, and addition to find the total number of people. Covers the following NCTM standards: estimation, measurement, reasoning, and problem solving.
Online
1997
8.

## Cranberry Estimation [electronic resource]

Second-graders in Massachusetts estimate the number of scoops of cranberries that will fit in a jar. They report, graph, and discuss group estimates with the class as the concepts of range, mode, and median emerge. Covers the following NCTM standards: estimation, statistics and probability, reasoning, and connections.
Online
1997
9.

## Buffalo Estimation [electronic resource]

A third-grade class that has been studying the Oregon Trail explores estimation by figuring out how many buffalo would fit in their classroom and on their playground. Students develop number sense as they think about the reasonableness of estimates and use a reference to adjust their estimates. Covers the following NCTM standards: estimation, number sense and numeration, reasoning, and connections.
Online
1997
10.

## The White Pages [electronic resource]

Fourth-graders develop number sense by exploring the magnitudes of large numbers (the number of listings in the phone book) and reasonableness of estimates. Students mark their estimates on a number line and justify their estimates verbally and in writing. Covers the following NCTM standards: estimation, number sense and numeration, problem solving, and connections.
Online
1997
11.

## The Metric System [electronic resource]

Discusses the relationships between units in the metric system and how to represent quantities using different units of measure. Describes how to estimate and measure quantities of length, mass, and capacity, and solve measurement problems.
Online
2002
12.

## Case Study [electronic resource]: Animals in Yellowstone (Elementary)

Shows how a fourth- and fifth-grade class uses a field trip to Yellowstone National Park to practice estimation skills and develop an understanding of large numbers. Student groups must agree on a reasonable estimate of the numbers of bison, elk, or pronghorn sheep that live in the park. Their teacher uses various methods to assess their reasoning skills and level of understanding.
Online
1997
13.

## Case Study [electronic resource]: Problem Solvers Fall and Spring (Elementary)

Visits a combined first and second grade classroom in the fall and the following spring. A fall lesson has the entire class working in groups to estimate the number of seeds in a pumpkin. The following spring student groups solve individual problems, and then write problems of their own creation using informal language to describe mathematical situations.
Online
1997