6-8
Students learn about ratios, including the “Golden Ratio”, a ratio of length to width that can be found in art, architecture, and nature. Students examine different ratios to determine whether the Golden Ratio can be found in the human body.
3-5, 6-8
Students will play
Sticks and Stones, a game based on the Apache
game "Throw Sticks," which was played at multi-nation celebrations.
Students will collect data, investigate the likelihood of various
moves, and use basic ideas of expected value to determine the average
number of turns needed to win a game.
3-5
This lesson builds on the previous two lessons by focusing on the identification of fractional parts of a region and by recording them in standard form. Students continue to develop communication skills by working together to express their understanding of fraction relationships and to record fractions in written form.
3-5
This lesson promotes problem solving and reasoning with fractions as students investigate the relationships between various parts and wholes. It also focuses on representation because students are given multiple opportunities to investigate the relative value of fractions. Students use communication skills as they work in pairs to articulate and clarify their understanding of fraction relationships.
3-5
Understand fractions when they are represented as a part of
a region.
3-5
Explore relationships among fractions through
work with the length model.
9-12
Sea gulls and crows feed on various types of mollusks by
lifting them into the air and dropping them onto a rock to break open
their shells. Biologists have observed that northwestern crows
consistently drop a type of mollusk called a whelk from a mean height of
about 5 meters. The crows appear to be selective; they pick up only
large-sized whelks. They are also persistent. For instance, one crow was
observed to drop a single whelk 20 times. Scientists have suggested
that this behavior is an example of decision-making in optimal foraging.
9-12
By measuring long jump results, students will discover how to determine the appropriate number of digits they should report when taking a linear measurement. Students will realize that measured numbers are never exact and researcher skill and tools can be analyzed to determine the precision of a measurement.
6-8
This lesson explores the
concept
of slope through a student-centered problem of data collection and evaluation.
Students guess which of several flights of stairs is steepest, and then use
measures of slope to test their hypothesis.
3-5
Students will use
base ten blocks to model decimal multiplication. They will assign different
values to the different base ten blocks to explore the consistent relationship
between the types of blocks. They will also discover different factors for the
same product. These activities will help students develop a conceptual
understanding of decimal multiplication.
