geometric figures, including computing actual
lengths and areas from a scale drawing and
reproducing a scale drawing at a different scale
•
Draw geometric shapes with given conditions;
focus on constructing triangles from three
measures of angles or sides, noticing when the
conditions determine a unique triangle, more
than one triangle, or no triangle
•
Describe the two-dimensional figures that result
from slicing three-dimensional figures, as in
plane sections of right rectangular prisms and
right rectangular pyramids
•
Solve real-life and mathematical problems
involving angle, measure, area, surface area,
and volume
•
Know the formulas for the area and
circumference of a circle and use them to solve
problems; give an informal derivation of the
relationship between the circumference and
area of a circle
•
Use facts about supplementary, complementary,
vertical, and adjacent angles in a multi-step
problem to write and solve simple equations for
an unknown angle in a figure
•
Solve real-world and mathematical problems
involving area, volume and surface area of two-
and three-dimensional objects composed of
triangles, quadrilaterals, polygons, cubes, and
right prisms
•
Know the use of Pythagorean theorem using
models
Statistics and Probability
Use random sampling to draw inferences about
a population
•
Understand that statistics can be used to gain
information about a population by examining a
sample of the population; generalizations about
a population from a sample are valid only if the
sample is representative of that population;
understand that random sampling tends to
produce representative samples and support
valid inferences
•
Use data from a random sample to draw
inferences about a population with an unknown
characteristic of interest; generate multiple
samples of the same size to gauge the variation
in estimates or predictions
Draw informal comparative inferences about two
populations
•
Informally assess the degree of visual overlap
of two numerical data distributions with similar
variability, measuring the difference between
the centers by expressing it as a multiple of a
measure of variability
•
Use measures of center and measures of
variability for numerical data from random
samples to draw informal comparative
inferences about two populations
•
Investigate chance processes and develop, use,
and evaluate probability models
•
Understand that the probability of a chance
event is a number between 0 and 1 that
expresses the likelihood of the event occurring
•
Approximate probability of chance event,
collecting data on process that produces
it and observing relative frequency, and
predict approximate relative frequency given
probability
•
Develop a probability model and use it to find
probabilities of events; compare probabilities
from a model to observed frequencies; if
the agreement is not good, explain possible
sources of the discrepancy
•
Develop a uniform probability model by
assigning equal probability to all outcomes, and
use the model to determine probabilities of
events
•
Develop a probability model by observing
frequencies in data generated from a chance
process
•
Find probabilities of compound events using
organized lists, tables, tree diagrams, and
simulation
•
Understand that, just as with simple events, the
probability of a compound event is the fraction
of outcomes in the sample space for which the
compound event occurs
•
Represent sample spaces for compound events
using organized lists, tables, tree diagrams; in
everyday language identify outcomes in sample
space which compose event
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Seventh Grade
•
Design and use a simulation to generate
frequencies for compound events
Functions
•
Identify functions as linear or nonlinear and
contrast properties using tables, or equations
•
Graph linear and nonlinear functions
SCIENCE
Diversity and Unity of Life
•
Identify the characteristics of living organisms
•
Investigate the diversity of living organisms and
understand how they can be compared
scientifically
•
Define taxonomy
•
Describe the Linnaeus system of classification
•
Understand the importance of classification
•
Identify characteristics of various organisms
including: viruses, bacteria, fungi, sponges,
worms, mollusks, arthropods, and echinoderms
•
Explain purpose of the physical characteristics
of various organisms including: viruses, bacteria,
fungi, sponges, worms, mollusks, arthropods,
and echinoderms
•
Understand the process of reproduction of
various organisms including: viruses, bacteria,
fungi, sponges, worms, mollusks, arthropods,
and echinoderms
•
Classify organisms based on physical
characteristics
•
Identify physical characteristics of various
plants and animals including vascular and
nonvascular plants, vertebrates and
invertebrates, birds and mammals
•
Understand the significance of physical
characteristics of various plants and animals
•
Understand the process of reproduction of
various plants and animals
•
Provide examples of instinctive behavior
•
Identify and provide examples of the four
types of learned behaviors
The Role of Cells
•
Understand that all organisms are composed of
cells which are the fundamental units of life
•
Identify individuals who have made significant
contributions to the study of cells
•
Use microscopes to observe and record
information regarding cells
•
Create models showing the general structure
of both animal and plant cells
•
Identify and explain the role of organelles
•
Compare and contrast plant and animal cells
•
Define and differentiate between elements,
compounds, and molecules
•
Identify and describe the organic
compounds: carbohydrates, lipids, proteins, and
nucleic acids
•
Explain how protein is formed in cells
•
Explore food labels to identify the presence of
various organic compounds
•
Compare and contrast diffusion and osmosis
•
Define and provide examples of active and
passive transport
•
Analyze the processes of energy flow in cells
•
Explain the process of cells growing
and dividing
•
Analyze the results of Mendel’s experiments
•
Understand the role of DNA
•
Know that hereditary information is contained in
genes located in the chromosomes in each cell
•
Identify characteristics that can and cannot
be inherited
•
Explore the role of probability in reference
to heredity
•
Understand that selective breeding can cause
small differences between parents and offspring
•
Evaluate the economic, social, and
ethical issues raised by selective breeding and
genetic research
•
Know that specialized cells perform specialized
functions in multicellular organisms
•
Evaluate the reasoning used by Charles Darwin
in reaching his conclusion that natural selection
is the mechanism of evolution
•
Identify probable causes of evolution
•
Identify sources of evidence that support the
process of evolution
•
Define and provide examples of how
organisms evolve through mutation, adaptation,
and extinction
116