Numbers and Operations in Base Ten
Use place value understanding and properties of
operations to perform multi-digit arithmetic
•
Use place value understanding to round whole
numbers to the nearest 10 or 100
•
Fluently add and subtract within 1000 using
strategies and algorithms based on place value,
properties of operations, and/or the relationship
between addition and subtraction
•
Multiply one-digit whole numbers by multiples
of 10 in the range 10–90 using strategies based
on place value and properties of operations
•
Add and subtract decimals
•
Read and write decimals to the hundredths
using concrete materials and models
•
Multiply one digit numbers by two and three
digit numbers
•
Order numbers and round to tens, hundreds,
and thousands
The Number System
Understanding and using positive and negative
numbers
•
Use concepts of negative numbers and
understand relationships in number lines
Write, interpret, and explain statements of order
for rational numbers in real-world contexts
•
Read temperatures to the nearest degree using
Fahrenheit and Celsius thermometers
Identify and solve problems using numerical data,
mean, median and mode
•
Identify range, mean, median, and mode in a
set of numerical data in order to analyze data
Expressions and Equations
Working with equivalent and nonequivalent
numbers
•
Know that two numbers in different forms
are equivalent or nonequivalent, using whole
numbers, fractions and decimals
Number & Operations – Fractions
Develop understanding of fractions as numbers
•
Understand a fraction 1/b as the quantity
formed by 1 part when a whole is partitioned
into b equal parts
•
Understand fraction as number on number line;
represent fractions on number line diagram
•
Represent a fraction 1/b on a number line
diagram by defining the interval from 0 to 1 as
the whole and partitioning it into b equal parts
•
Represent a fraction a/b on a number line
diagram by marking off a lengths 1/b from 0
•
Explain equivalence of fractions, and compare
fractions by reasoning about their size
•
Understand two fractions as equivalent if same
size, or the same point on a number line
•
Recognize and generate simple equivalent
fractions, and explain why the fractions are
equivalent
•
Express whole numbers as fractions, and
recognize fractions are equivalent to whole
numbers
•
Compare two fractions with same numerator or
same denominator by reasoning about size
•
Add and subtract simple fractions with common
denominators
Measurement and Data
Solve problems involving measurement and
estimation
•
Tell and write time to the nearest minute and
measure time intervals in minutes; solve word
problems involving addition and subtraction of
time intervals in minutes
•
Measure and estimate liquid volumes and
masses of objects using standard units of grams
kilograms and liters
•
Determine whether an accurate or estimated
measurement is needed for a solution
•
Complete simple unit conversions within a
measurement system
Represent and interpret data
•
Draw scaled picture graph and a scaled bar
graph to represent data set with several
categories
•
Generate measurement data by measuring
lengths using ruler with halves and fourths
of inch
•
Translate problem situations into diagrams and
43
Third Grade
models using whole numbers and fractions
•
Represent and analyze patterns and functions
•
Represent and analyze patterns and functions
using words, tables, and graphs
Work with time and money
•
Use schedules, calendars, and elapsed time in
hour intervals to solve real world problems
•
Identify equivalent amounts of time such as days
in a week, hours, in a day, or weeks in a year
•
Identify, use, and determine value of money by
comparing, counting, and making change
Geometry
Understand concepts of area and relate area to
multiplication and to addition
•
Recognize area as an attribute of plane figures
and understand concepts of area measurement
•
Know that a square with side length 1 unit is
said to have “one square unit” of area, and can
be used to measure area
•
Know that a plane figure which can be covered
without gaps or overlaps by n unit squares is
said to have an area of n square units
•
Measure areas by counting unit squares
•
Relate area to the operations of multiplication
and addition
•
Find the area of a rectangle with whole-number
side lengths by tiling it
•
Multiply side lengths to find areas of rectangles
with whole-number side lengths in the context
of solving real world and mathematical
problems
•
Use tiling to show in a concrete case that the
area of a rectangle with whole-number side
lengths a and b + c is the sum of a × b and a × c
•
Recognize area as additive; find areas of
rectilinear figures by decomposing them into
non-overlapping rectangles and adding the
areas of the non-overlapping parts
Recognize perimeter
•
Solve real world and mathematical problems
involving perimeters of polygons
•
Draw and identify lines and angles, and classify
shapes by properties of their lines and angles
•
Understand that shapes in different categories;
recognize rhombuses, rectangles, and squares
as examples of quadrilaterals
•
Partition shapes into parts with equal areas;
express the area of each part as a unit fraction
of the whole
•
Identify, draw, and compare representations of
lines and angles
•
Predict and describe the results of sliding,
flipping, and turning two-dimensional shapes
•
Identify and describe congruent and
symmetrical figures
Draw and identify lines and angles, and classify
shapes by properties of their lines and angles
•
Locate graph points and ordered pairs on a
coordinate plane
•
Make and use coordinate systems to specify
locations on grids and describe paths
•
Know how to identify, locate, and plot ordered
pairs of whole numbers s on a graph
•
Identify range, mean, median, and mode in a
set of numerical data in order to analyze data
Statistics and Probability
Understanding and solving statistical and
probability problems
•
Design investigations by collecting and
organizing data on a chosen topic
•
Summarize and display the results of probability
experiments in a clear and organized way
•
Understand the effectiveness of using statistical
methods to recognize trends
•
Record the possible outcomes for a simple
event and systematically keep track of
the outcomes when the event is repeated
many times
•
Use the results of probability experiments to
predict future events and justify reasoning
SCIENCE
Land Features
•
Identify the following land forms: mountain,
valley, canyon, plain, plateau
•
Identify the layers of the Earth
•
Describe how landforms are molded and
changed over extended periods of time
44
Nobel Learning Curriculum Reference Guide
