The Science curriculum can be greatly enriched by the skills that
students will bring with them from the Connected Mathematics Program
(CMP). It may be helpful to Science teachers to be aware of the ways
in which the new curriculum links to Science methods and topics.
Below are topics covered in the CMP 6th Grade units.
Sixth Grade Problems and Topics
- Students determine when both 13-year locusts
and 17-year locusts will appear in the same year. (6th Grade
Prime Time)
- Determine when four orbiting planets will be
in conjunction based on the number of years it takes each planet
to orbit the sun. (6th Grade Prime Time)
- Posing questions: formulate key questions to
explore and decide what data to collect to address the questions.
(6th Grade Data About Us)
Students can be given more
responsibility in a lab exercise to develop questions and decide
what data needs to be collected.
- Collecting Data: decide how to collect data
and actually collect it. (6th Grade Data About
Us)
- Analyzing Data: organize, represent,
summarize, and describe the data and look for patterns in the
data. (6th Grade Data About Us)
Rather than giving students
blank tables to fill in, students should be able to create tables
that are well labeled and organized.
- Interpreting results: predict, compare, and
identify relationships and use the results from the analyses to
make decisions about the original questions. (6th Grade Data
About Us) The
conclusion sections of lab reports often give students
opportunities to practice these skills.
- Graph comprehension: Reading the data, reading
between the data, and reading beyond the data. (6th Grade Data
About Us)
Investigations should end
with predictions or projections based on the data. This leads to
"what next" type of questions.
- Create and read line plots, bar graphs, stem
and leaf plots, and coordinate graphs. (6th Grade Data About
Us)
- Identify the mode, median, range, and mean in
a set of data. Understand the significance of each type of
average. (6th Grade Data About Us)
Teachers should be specific
when asking students to find the "average" as they learn in Math
class that there are many ways to talk about what is "typical" in
a data set. Science teachers can expand their analyses past just
finding the mean and look at the mode, median, and range of data
sets as well.
- Distinguish between categorical and numerical
data. (6th Grade Data About Us)
Scientists also refer to
these categories as "qualitative" and "quantitative"
data.
- Discuss the life span of rats and rabbits
based on the median age and the mean age of these animals. (6th
Grade Data About Us)
- Use stem and leaf plots to graph and compare
data collected on rope jumping rates of boys and girls. (6th Grade
Data About Us) Rate
data is often collected in Science classes. Stem and leaf plots
are a simple way to look at large sets of numbers.
- Create and read coordinate graphs compare two
sets of data such as arm span vs. height of a student. (6th Grade
Data About Us) There
are many opportunities to compare sets of data in this way in our
Science classes. For example, students might make a coordinate
graph that shows the relationship between amount of exercise and
heart rate.
- Students create a unit project in which they
develop, conduct, evaluate, and report the results of a survey.
(6th Grade Data About Us)
- Students study the shape of bee hives formed
from tiled hexagons. (6th Grade Shapes and Designs)
- Explore how honey bees communicate with each
other using the angles of movement in a special flight dance. (6th
Grade Bits and Pieces Part I)
- Compare decimal numbers and sort them by size.
(6th Grade Bits and Pieces Part I)
Students using the metric
system in Science classes will need to be able to compare decimal
data.
- Use decimals to describe fractional parts of a
whole. (6th Grade Bits and Pieces Part I)
- Study the subdivisions of a metric ruler. (6th
Grade Bits and Pieces Part I)
Determining masses using
balances requires the same skills of reading a metric
scale.
- Determine percentages of different types of
cats listed in a data base. (6th Grade Bits and Pieces Part
I) Students can be
asked to convert data they collect in Science classes into
percentages to help with comparisons.
- Read a table of data and compare the data
using percents. (6th Grade Bits and Pieces Part
I)
- Find areas and perimeters of rectangular
shapes and non rectangular shapes, and relate perimeter and area.
(6th Grade Covering and Surrounding)
In Life Science the
concepts of area, surface area, and volume have many applications
as we talk of increased surface area of leaves depending on
environment, maximized surface area in the villi of the small
intestine, increased surface area in the lungs due to branched air
passages, and problems of heat loss for animals with a high
surface area to volume ratio.
- Measure the area of odd shapes like a foot or
hand using a transparent grid. (6th Grade Covering and
Surrounding) Students
might compare the area of the upper epidermis of various types of
leaves.
- Look at two lakes with different shapes and
determine which would be best for water birds that need long
shorelines for nesting and fishing. (6th Grade Covering and
Surrounding)
- Compare head circumference and waist
circumference of students using a coordinate graph. (6th Grade
Covering and Surrounding)
In all areas of Science,
students are asked to make comparisons and look for patterns.
Coordinate graphs are a great way to visualize relationships
between sets of data.
- Transform rectangles into shapes with greater
perimeter (6th Grade Covering and Surrounding)
When we look at a cross
section of the lining of the small intestine, we see that the
perimeter has been increased by the finger like projections of the
villi. This results in an increased amount of membrane to absorb
nutrients.
- Find the maximum and minimum perimeter you
could have with a fixed area. (6th Grade Covering and
Surrounding) In some
biological systems, there is a need for a maximized surface area
(or perimeter when examining a cross section) such as for nutrient
absorption in the small intestine. Sometimes, however, there is a
greater advantage to having a minimized surface area such as in
the rounded brain cavity of the skull where there is less exposure
to possible trauma.
- Students solve a problem where damaged trees
in New York City need to be replaced in a way that conserves the
amount of tree area. (6th Grade Covering and Surrounding)
Ecologists worry about the
decreasing amount of land area covered by trees.
- Given various shapes with the
same perimeter, students discover that a circle contains the
greatest area. (6th Grade Covering and
Surrounding) Many
shapes in nature are circular or spherical. This has to do with
the maximized area and the low surface area to volume ratios of
these shapes. Structures like the alveoli in the lungs can be
looked at in cross section to discuss the area vs.
perimeter.
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