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SECOND GRADE
MATH EXPECTATIONS
 STATE MATHEMATICS GOAL #6
DEMONSTRATE AND APPLY A
KNOWLEDGE AND SENSE OF NUMBERS, INCLUDING NUMERATION AND OPERATIONS.
STANDARD 6-A
Demonstrate
knowledge and use of numbers and their representations in a broad range of
theoretical and practical settings.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Count with understanding,
including skip counting from any number by 2’s and 10’s.
Extend initial understanding
of place value and the base-ten number system using multiple models.
Describe numeric
relationships using comparison notation.
Use cardinal and ordinal
numbers appropriately.
Recognize and explain the
concept of odd and even numbers.
Describe parts of a set
using 1/2, 1/3, and 1/4.
Represent, order, label, and
compare unit fractions using concrete materials.
STANDARD 6-B
Investigate,
represent and solve problems using number facts, operations and their
properties, algorithms and relationships.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Solve two-step addition and
subtraction number sentences and word problems.
Demonstrate the relationship
between addition and subtraction.
Explore multiplication and
division through equal grouping and equal sharing of objects.
Connect repeated addition to
multiplication.
Demonstrate fluency with
basic addition and subtraction facts.
STANDARD 6-C
Compute and estimate
using mental mathematics, paper-and-pencil methods, calculators and computers.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Explain and use mental math
strategies to solve simple addition and subtraction problems.
Estimate sums and
differences of one- or two-digit numbers.
Analyze situations to
determine whether exact numbers or estimates are appropriate.
Utilize a calculator to
solve addition and subtraction problems.
STANDARD 6-D
Solve problems using
comparison of quantities, ratios, proportions and percents.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
STATE MATHEMATICS GOAL #7
ESTIMATE, MAKE AND USE
MEASUREMENTS OF OBJECTS, QUANTITIES AND RELATIONSHIPS AND DETERMINE ACCEPTABLE LEVELS
OF ACCURACY.
STANDARD 7-A
Measure and compare
quantities using appropriate units, instruments and methods.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Identify the type of measure
(e.g., weight, height, volume, temperature) for each measurable attribute.
Measure objects using
standard units.
Order events
chronologically.
Tell time using an analog
clock.
Describe relationships
within units of time, money, and length (e.g., 12 inches in a foot).
Count, compare, and order
sets of unlike coins.
Show equivalent amounts of
money.
Explore and explain making
change using manipulatives.
STANDARD 7-B
Estimate
measurements and determine acceptable levels of accuracy.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Estimate elapsed time for a
given task.
Estimate standard
measurements of length, weight, and capacity.
Estimate the amount of money
needed to make purchases.
STANDARD 7-C
Select and use
appropriate technology, instruments and formulas to solve problems, interpret
results and communicate
findings.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Select an appropriate unit
and tool for measurement.
Explore and describe
perimeter and area of real objects.
Solve problems using money
and time.
STATE MATHEMATICS GOAL #8
USE ALGEBRAIC AND ANALYTICAL
METHODS TO IDENTIFY AND DESCRIBE PATTERNS AND
RELATIONSHIPS IN DATA, SOLVE
PROBLEMS AND PREDICT RESULTS.
STANDARD 8-A
Describe numerical
relationships using variables and patterns.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Sort, classify, and order
objects by multiple properties.
Create rules for multiple
sortings in a single set.
Create patterns concretely
and numerically to match a given letter description (e.g., AAB) and make
predictions.
Extend numeric patterns
involving addition and/or subtraction (e.g., 1, 3, 5, … what are the next two
terms?).
Change patterns by
manipulation of concrete materials.
Describe missing units in a
pattern.
Analyze growing patterns.
STANDARD 8-B
Interpret and
describe numerical relationships using tables, graphs and symbols.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Describe and compare
quantitative change (e.g., student grows two inches in one year).
STANDARD 8-C
Solve problems using
systems of numbers and their properties.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Solve word problems
involving unknown quantities.
Apply the relationship of
addition and subtraction families to solve for an unknown quantity.
STANDARD 8-D
Use algebraic
concepts and procedures to represent and solve problems.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Solve problems and justify
solutions using patterns.
STATE MATHEMATICS GOAL #9
USE GEOMETRIC METHODS TO
ANALYZE, CATEGORIZE AND DRAW CONCLUSIONS ABOUT POINTS, LINES, PLANES AND SPACE.
STANDARD 9-A
Demonstrate and
apply geometric concepts involving points, lines, planes and space.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Investigate and predict the
results of putting together and taking apart two- and three-dimensional shapes
(e.g., put two triangles together
to make a quadrilateral).
Describe and interpret
direction and distance in navigating space, and apply concepts of direction and
distance (e.g., nearer/farther).
Perform translations
(slides), reflections (flips), and rotations (turns) with concrete objects.
Create and complete shapes
that have line symmetry.
STANDARD 9-B
Identify, describe,
classify and compare relationships using points, lines, planes and solids.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Identify objects that are
congruent.
STANDARD 9-C
Construct convincing
arguments and proofs to solve problems.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Justify an extension of a
pattern.
STANDARD 9-D (N.A.)
Use trigonometric
ratios and circular functions to solve problems.
STATE MATHEMATICS GOAL #10
COLLECT, ORGANIZE AND
ANALYZE DATA USING STATISTICAL METHODS; PREDICT RESULTS; AND INTERPRET UNCERTAINTY USING
CONCEPTS OF PROBABILITY.
STANDARD 10-A
Organize, describe
and make predictions from existing data.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Organize and interpret
simple data displays such as pictographs, tallies, tables, and bar graphs.
Make predictions from simple
data.
STANDARD 10-B
Formulate questions,
design data collection methods, gather and analyze data and communicate
findings.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Gather data by creating and
using interview questions.
STANDARD 10-C
Determine, describe
and apply the probabilities of events.
PERFORMANCE
EXPECTATIONS FOR "MEETING STANDARDS"
Identify and discuss likely,
unlikely, and impossible probability events.
Communicate and display
results of probability events in order to make predictions of future events.
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