•
Interpret division of a unit fraction by a non-zero
whole number, and compute such quotients
•
Interpret division of a whole number by a unit
fraction, and compute such quotients
•
Solve real world problems involving division of
unit fractions by non-zero whole numbers and
division of whole numbers by unit fractions
Measurement and Data
Convert like measurement units within a given
measurement system
•
Convert among different-sized standard
measurement units within a given measurement
system and use conversions in solving multi-
step, real world problems
Represent and interpret data
•
Make line plot to display data set of
measurements in fractions of unit (1/2, 1/4, 1/8);
use operations on fractions for this grade to
solve problems involving information presented
Geometric Measurement: Understand Concepts
of Volume
•
Recognize volume as attribute of solid
figures and understand concepts of volume
measurement
•
Know that a cube with side length 1 unit, called
a “unit cube,” is said to have “one cubic unit”
of volume, and can be used to measure volume
•
Know that a solid figure which can be packed
without gaps or overlaps using n unit cubes is
said to have volume of n cubic units
•
Measure volumes by counting unit cubes,
using cubic cm, cubic in, cubic ft., and
improvised units
•
Relate volume to operations of multiplication
and addition and solve real world and
mathematical problems involving volume
•
Apply formulas V = l × w × h and V = b × h
for rectangular prisms to find volumes of right
rectangular prisms with whole-number edge
lengths in context of real world problems
•
Recognize volume as additive
Geometry
Graph points on the coordinate plane to solve
real-world and mathematical problems
•
Use a pair of perpendicular number lines,
called axes, to define coordinate system, with
intersection of lines arranged to coincide with
0 on each line and given point in plane located
by using ordered pair of numbers, called
coordinates
•
Represent real world and mathematical
problems by graphing points in first quadrant
of coordinate plane, and interpret coordinate
values of points in context of situation
•
Use appropriate geometric vocabulary to
describe properties and attributes of two- and
three-dimensional figures
•
Identify, describe, and explore symmetry,
congruency, and reflections in geometric figures
•
Recognize figures resulting from transformations
•
Use appropriate tools to construct geometric
figures including rulers, protractors, compasses,
and computer technology
Classify two-dimensional figures into categories
based on their properties
•
Understand that attributes belonging to
category of two-dimensional figures also belong
to all subcategories of that category
•
Classify two-dimensional figures in a hierarchy
based on properties
Ratios and proportional relationships
•
Read, write, interpret, and identify percents
•
Determine the percent of a whole number
SCIENCE
Land Features
•
Understand that rocks contain evidence
of the minerals, temperatures, and forces that
created them
•
Know that the composition and texture of
soil, its fertility, and resistance to erosion are
greatly influenced by plant roots, debris,
bacteria, and fungi
•
Explain how fossils provide evidence about the
plants and animals that lived long ago
•
Identify fossils within rock samples
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Fifth Grade
•
Understand how eroded materials are
transported and deposited over time in new
areas to form new features
•
Explain how the movement of the Earth’s crust
creates geological features
•
Describe the basic structure of the Earth’s interior
•
Understand and use the geologic time history to
describe the Earth’s history
Water Features
•
Describe how water vapor forms clouds and fog
•
Identify bodies of water that are fresh water
•
Know that most of the Earth’s water is salt water
•
Identify the geological and physical
characteristics of the ocean environment
Natural Resources
•
Identify the origin of water in their local
community
•
Understand that the amount of available fresh
water is limited
•
Give examples of ways to extend fresh water
availability through recycling and decreasing use
•
Explain the impact of human consumption on
natural resources
Earth Science and Space
•
Identify that the Earth is closest to the sun in the
Northern Hemisphere in the winter
•
Recognize that the angle at which the sun’s rays
hit the surface determines the amount of energy
received
•
Identify the arrangement of the planets and
the asteroid belt in our solar system
•
Identify major constellations in a night sky
•
Observe and describe characteristics of the
Milky Way
•
Recognize that the uneven heating of the Earth
causes air movement
•
Identify cause and effect of severe weather
Animals and Plants
•
Describe how body systems interact
•
Use magnifying tools to identify similar cells
and structures
•
Know the parts of plant and animal cells and
compares and contrasts the two
•
Know that specialized cells perform specialized
functions in multicellular organisms (organs and
tissue)
•
Know that there are more than one hundred
known elements that combine in many ways to
produce all of the compounds that account for
living and nonliving substance
•
Recognize that many characteristics of an
organism are inherited from the genetic
ancestors of the organism
•
Classify vascular and nonvascular plants
•
Understand how sugar, water, and minerals are
transported in vascular plants
•
Classify using the kingdom of living things
•
Explain how plants and animals obtain energy
from sugar
Interactions
•
Know the ways in which organisms interact with
plants and animals in the environment
•
Provide examples of how changes in the
environment affect organisms
•
Understand the process of photosynthesis
•
Identify and explain the benefits of certain
microorganisms
Matter and Energy
•
Use a variety of measurements to determine
density and volume
•
Know all matter is formed from atoms which
may combine to form molecules
•
Understand methods that can be used to
separate mixtures into their component parts
•
Identify and label the parts of an atom
•
Describe the difference between atoms in a
liquid and atoms in a solid
•
Compare and contrast mixtures and solutions
•
Understand that materials made by chemically
combining two or more substances have
properties that differ from the original material
•
Trace the flow of energy within a system
•
Use a variety of tools to measure the gain or
loss of energy
•
Understand the various methods of heat
transfer
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Nobel Learning Curriculum Reference Guide