Download Uses mathematical vocabulary to express ideas (See suggested

Uses mathematical vocabulary to express ideas
Performance Descriptors
Proficient
Usually uses appropriate math
vocabulary and notation
Basic
Advanced
Use of math vocabulary is limited
Consistently uses correct math
or vocabulary and notation is used
vocabulary and notation
incorrectly
 Appropriate: vocabulary and notation addressed in classroom instruction to date
Uses words, pictures or numbers to record and communicate mathematical thinking
Performance Descriptors
Basic
Proficient
Advanced
 Gives explanations that are
 Gives understandable, organized
 Gives explanations that are clear,
incomplete or confusing and
explanations
complete and explicit
difficult to understand
 Presents supporting arguments,
 Presents supporting arguments
 Presents supporting arguments
that are logically sound, but may
that are strong, sound and contain
that are incomplete or logically
contain minor errors
no errors
unsound
 Uses pictures, symbols, tables,
 Uses pictures, symbols, tables,
 Uses pictures, symbols, tables,
and graphs that may contain
and graphs that are correct and
and graphs that contain major
minor errors or are somewhat
clearly relevant
errors or are irrelevant
irrelevant
 Minor errors: Explanation is mathematically correct. Errors do not reflect mathematical
misconceptions
Numbers/Number Concepts
Reads, writes, orders and compares whole numbers
Basic
Reads, writes, orders and compares
numbers to 1,000 using appropriate
words and symbols
Performance Descriptors
Proficient
Reads, writes, orders and compares
numbers to 10,000 using
appropriate words and symbols
Advanced
Reads, writes, orders and compares
numbers beyond 10,000 using
appropriate words and symbols
(3.N.1.1)
Names, writes and compares fractions from visual representations
Basic
Identifies and represents unit
fractions as parts of a group or
parts of a whole (1/2, 1/3, 1/4) but
records or labels fractions
incorrectly
Performance Descriptors
Proficient
 Names and writes fractions from
visual representations (pictures
or models) (3.N.1.3)
 Compares fractions with like
denominators (3.N.1.3)
Advanced
Relates notations for fractions (1/2,
1/4, 3/4, 1/5, 1/10)with decimal
notations on the calculator
 Unit fraction: A fraction with a numerator of 1
Computation/Problem Solving
Demonstrates fluency with multiplication facts
Basic
Performance Descriptors
Proficient
1
Advanced
Figures out multiplication facts
through 5 x 10 using skip counting or
other counting strategies
Uses one quick relationship strategy or
recalls multiplication facts through 6 x
12 (Rapid City Standard)
Uses one quick relationship strategy
or recalls multiplication facts beyond
6 x 12
Makes reasonable estimates
Performance Descriptors
Proficient
Basic
Sometimes uses
landmarks/rounding to support
the reasonableness of solutions
Advanced
 Consistently uses estimation to support the
reasonableness of solutions
 Rounds two-digit numbers to the nearest ten and
3-digit numbers to the nearest hundred(3.N.3.1)
Uses a variety of estimation
strategies to support the
reasonableness of solutions
 Estimation can be assessed whenever students are working with computation activities, by asking students to
estimate the solution before solving the problem.
Uses multiple strategies to accurately and efficiently solve computation and story problems and
check results
Performance Descriptors
Proficient
Basic
 Uses 1 number strategy to solve
addition and subtraction
computation and story problems
 Uses pictures or counting and
direct modeling to solve
multiplication and division
computation and story problems
Advanced
 Uses 1 number strategy to solve addition and
subtraction problems and at least 1 number strategy
to check. (using numbers of up to 3 digits) (3.N.2.1)
 Uses 1 number strategy to solve multiplication
problems and one counting or picture strategy to
check (numbers up to 2 digits by 1 digit) (3.N.2.1)
 Uses direct modeling and number strategies to solve
division problems (Rapid City Standard)
Uses a variety of number
strategies to solve
addition, subtraction,
multiplication and
division problems and
check results
Recognizes, identifies and compares shapes and lines
Performance Descriptors
Basic
Proficient
Advanced
 Names squares, rectangles, triangles,
cubes, spheres and cylinders
 Draws 2-dimensional pattern block
figures
 Recognizes, identifies and compares:
square, rectangle, triangle, cube,
sphere and cylinder (3.G.1.1)
 Constructs geometric figures that
satisfy given attributes
Recognizes and names at least 3 of the
following polygons and polyhedra:
Polygons: hexagon, pentagon
Polyhedra: square prism, octagonal
prism, triangular prism, rectangular
prism, hexagonal prism, hemisphere,
cone or square pyramid
(Rapid City Standard)
 Identifies and names points, lines,
line segments and rays (3.G.1.2)
 Recognize: Selects the correct shape from a group of shapes
 Identifies: Names the shape when it is shown
Solves problems involving shape, movement and location
Performance Descriptors
Basic
 Compares 2 objects and determines
if they are congruent
 Identifies geometric figures
regardless of how they are flipped,
slid or turned
Proficient
 Demonstrates relationships between figures using
similarity and congruence (3.G.2.1)
 Predicts which figures would result from a flip,
slide or turn of a given figure
(Rapid City Standard)
2
Advanced
Constructs figures that
are congruent and
justifies why the figures
are congruent
Measurement
Measures accurately using appropriate units
Basic
 Measures length to the nearest
inch or foot
 Chooses the most appropriate
metric unit (centimeter or meter)
to measure length
Performance Descriptors
Proficient
Advanced
 Selects and uses appropriate units Carries out unit conversions:
and accurately measures length
o inches to feet/yards
(inches, feet), weight (pounds,
o feet to yards
ounces) and capacity (cups, pints,
quarts)
(3.M.1.3) (3.M.1.4)
 Estimates length and measures to
the nearest half-inch (3.M.1.5)
Reads and tells time
Basic
Tells time to the minute using
digital and analog clocks and
relates time to daily events
Performance Descriptors
Proficient
Reads and tells time before and
after the hour using 5-minute
intervals on an analog clock
Advanced
Tells time using fractional parts of
an hour (a quarter to, a quarter past,
half past)
(3.M.1.1)
Uses money to solve problems
Basic
Determines the value of a
collection of like and unlike coins
with a value up to $1.00
Performance Descriptors
Proficient
Counts, compares and solves
problems using a collection of
coins and bills for amounts up to
$10.00 (3.M.1.2)
Advanced
Makes change from $1.00
Algebra
Describes and extends number patterns and uses number patterns to make predictions
Basic
Extends linear number patterns
Example: 4, 8, 12, ___, ___,
Performance Descriptors
Proficient
 Identifies and explains the
relationship between repeated
addition and multiplication
(3.A.1.1)
 Describes, extends, and makes
generalizations about linear
number patterns (3.A.4.1)
Advanced
 Represents and analyzes patterns
using words, tables and graphs
 Expresses the relationship
between addition and
multiplication using equations
Uses mathematical symbols and properties
Basic
Applies the properties of 0 and 1 to
addition and multiplication
Performance Descriptors
Proficient
 Recognizes and uses the
commutative property of
3
Advanced
Selects appropriate relational
symbols (, , =) to compare
multiplication to solve related
numbers beyond 10,000
problems (Rapid City Standard)
 Identifies and applies the
properties of 0 and 1 to
multiplication, addition and
subtraction (3.A.1.2)
 Selects appropriate relational
symbols (, , =) to compare
numbers less than 10,000 (3.A.2.1)
Solves for the unknown in computation and story problems
Basic
 Solves open addition and
subtraction sentences with one
unknown in any position using
whole numbers equal to or less
than 100
 Writes number sentences from
problem situations using + or –
and = with numbers to 100
Performance Descriptors
Proficient
 Solves open addition and
subtraction sentences with one
unknown in any position using
whole numbers between 100 and
1,000 (3.A.2.2)
 Writes and solves number
sentences from word problems
using addition, subtraction,
multiplication and division
(3.A.2.2)
Advanced
Solves open multiplication and
division sentences with one
unknown in any position
Example:
3 x  = 24
3x8=
 x 8 = 24
24 ÷  = 3
24 ÷ 8 = 
÷8=3
Data and Probability
Collects, organizes and represents data
Basic
 Uses interviews, surveys and
observations to gather data
 Constructs accurate representations
of data that clearly communicate
information
o Tally Charts
o Pictographs
Performance Descriptors
Proficient
Advanced
 Collects, organizes, and
Represents data in more than one
represents data in scaled and
way
labeled graphs (3.S.1.2)
o Line graphs
o Bar graphs
 Creates and labels a graph
(Rapid City Standard)
 Presents data in a way that clearly
communicates information
Answers questions about data represented in graphs
Basic
Makes observations about
displayed data
Tally charts
Pictographs
Bar graphs
Performance Descriptors
Proficient
 Asks and answers questions from
data represented in graphs (3.S.1.1)
o Tally charts
o Pictographs
o Bar graphs
Determines the range and mode of
4
Advanced
 Analyzes data by describing
their shape and patterns
 Interprets what is typical in a
data set
data sets (Rapid City Standard)
Uses probability to determine possible outcomes
Basic
Lists possible outcomes and makes
predictions about which outcome is
more or less likely to occur
Performance Descriptors
Proficient
Describes events as certain,
impossible or likely (3.S.2.1)
5
Advanced
Uses probability to compare and
order events from certain to
impossible or impossible to certain