2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Number Properties and Operations
Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop
multiplication and division. They move flexibly and fluently through basic number facts, operations and representations. Their understanding of the base-10 number system
expands to include decimals. They examine various meanings and models of fractions. They explore data, perform measurements and examine patterns as part of the
development process for number and operations, using other mathematics strands to enrich number. Computational fluency with whole numbers, relationships among decimals
and fractions and techniques for reasonable estimations represent elementary number.
Number Sense
MA-EP-1.1.1
Students will:
• apply multiple representations (e.g.,
drawings, manipulatives, base-10
blocks, number lines, expanded form,
symbols) to describe whole numbers (0
to 9,999):
• apply multiple representations (e.g.,
drawings, manipulatives, base-10
blocks, number lines, symbols) to
describe fractions (halves, thirds,
fourths);
• apply these numbers to represent realworld problems and
• explain how the base 10 number system
relates to place value.
DOK 2
Apply multiple
representations to
describe and compare
whole numbers and
fractions.
Identify a one, two and
three digit number.
Kentucky Learns Links
(Place Values)
Demonstrate a three digit
number using expanded
form.
Kentucky Learns Links
(Numbers and Comparisons)
List numbers in order
from least to greatest
using one digit, two digit,
or three digit numbers.
Discuss the parts of a
fraction, then compare
and contrast the fraction
parts.
4
Kentucky Learns Links
(Add, Subtract, & Manipulate)
Kentucky Learns Links
(Fraction Concepts)
Use place value blocks to show a given number.
Use base 10 blocks and mats to show regrouping
or use dimes & pennies to show regrouping.
Cardinal numbers,
Ordinal numbers
Hundreds, Tens, One,
Place value, Rods, Units
Expanded form , Digit,
Least to greatest, Fewer,
More, Sequence,
Regroup, Trading,
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
1
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Borrowing
Fraction, Halves,
Thirds, Fourths,
Numerator, Denominator
MA-EP-1.1.2
Students will read, write, and rename whole
numbers (0 to 9,999) and apply to real-world and
mathematical problems.
MA-EP-1.1.3
Students will compare (<, >, =) and order
whole numbers to whole numbers, decimals to
decimals (as money only) and fractions to
fractions (limited to pictorial representations).
DOK 1
Estimation
MA-EP-1.2.1
Students will apply and describe appropriate
strategies for estimating quantities of objects
and computational results (limited to addition
and subtraction).
DOK 2
Read, write, count, and
model whole numbers
(0 to 1, 000).
Demonstrate how to show
money amounts using
cents and decimals.
Order groups of object
to quantity.
Compare 2 numbers using
less than, greater than, or
equal.
3
Kentucky Learns Links
(Numbers and Comparisons)
3
Number 12 – OR
Explain three reasons why 12 is an even number.
4
Comparison Symbols
(Greater than, Less than,
Equal, Compare)
Explore appropriate
estimation procedures.
Apply and describe
appropriate strategies
for estimating
quantities.
Using estimation
strategies, predict the
quantity of objects.
Record estimations,
compute correct amounts,
and graph or chart data.
Operation, Solution,
Kentucky Learns Links
(Estimate Quantities to 999)
Math Facts
(Lesson)
Solve, Strategies
Estimate, Quantities,
Rounding
Math Facts
(Power Point)
Kentucky Learns Links
(Estimation Skills)
Number Operations
MA-EP-1.3.1
Students will analyze real-world problems to
identify appropriate representations using
Develop part-whole
relations using
numbers.
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
Demonstrate adding or
subtracting whole
numbers of three digits or
Kentucky Learns Links
(Add, Subtract & Manipulate)
4
2
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
mathematical operations, and will apply
operations to solve real-world problems with
the following constraints:
• add and subtract whole numbers with
three digits or less;
• multiply whole numbers of 10 or less;
• add and subtract fractions with like
denominators less than or equal to four
and
• add and subtract decimals related to
money.
DOK 2
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
Explore and solve towdigit addition and
subtraction problems.
Explore and develop
factor-factor product
using manipulatives.
Multiply whole
numbers by 0, 1, 2, 3, 4,
5, & 10.
Relate division facts to
multiplication facts.
Solve multi-digit
addition and subtraction
problems with numerals
and symbols.
less using manipulatives
(pennies, dimes, rods,
units).
How do you know when
to regroup in addition?
Regrouping, Carry
GRADING
PERIOD
Kentucky Learns Links
(Mental Math & Problem Solving)
Math Facts
(Lesson)
Math Facts
(Power Point)
How do you know when
to regroup in subtraction?
Regrouping, Borrow,
Mental math, Sum,
Addend, Product,
Difference,
Quotient, Remainder,
Add, Subtract, Divide
How do you construct
a number sentence?
Vertically
(count on, count back)
Horizontally,
Number sentence,
Plus, Minus, Take away,
Fact families
Doubles, Doubles plus
one
MA-EP-1.3.2
Students will skip-count forward and backward
by 2s, 5s, 10s, and 100s.
See standard.
1
MA-EP-1.3.3
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
3
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
Students will divide two digit numbers by single
digit divisors (with or without remainders) in
real-world and mathematical problems.
Ratios and Proportional Reasoning (not assessed at the elementary level)
Properties of Numbers and Operations
Explore, develop, and
MA-EP-1.5.1
use the concepts of
Students will identify and provide examples of
multiples.
odd numbers, even numbers, and multiples of
number, and will apply these numbers to solve
Explore, develop, and
real-world problems.
use the concepts of odd
DOK 2
and even numbers.
Identify odd and even
numbers on a calendar
by marking odd dates
with red and even dates
with green and compare
the number of red days
to green days.
Odd, Even, Skip count,
Multiples,
Forward, Backward
Number 12 – OR
Explain three reasons why 12 is an even number.
GRADING
PERIOD
3
Kentucky Learns Links
(Numbers & Comparisons)
Kentucky Learns Links
(Counting & Skip-Counting)
Kentucky Learns Links
(Skip Counting)
MA-EP-1.5.2
Explore and use
1
Students will use the commutative properties of
properties of numbers
addition and multiplication, the identity properties for written and mental
of addition and multiplication and the zero
computation.
property of multiplication in written and mental
computation.
Measurement
Students progress from measuring using nonstandard units to using standard units of measurement. They identify measurable attributes of objects, estimate and measure weight,
length, perimeter, area, angles, temperature, time and money. They convert units within the same measurement system.
Measuring Physical Attributes
MA-EP-2.1.1
Students will apply standard units to measure
length (to the nearest half-inch or the nearest
centimeter) and to determine:
• weight (nearest pound);
• time (nearest quarter hour); to 5 min.
• money (identify coins and bills by value)
Use nonstandard units
to measure and
compare length, weight,
area, and volume.
Compare and order
objects by shape, size,
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
Identify different
combinations of coins that
equal one dollar.
Round outside
temperature to the nearest
ten degrees using a
Halloween Suncatchers
(Geometry and Measurement)
4
Living Math
(Adding and Subtracting Numbers)
Subtraction
4
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
and
• temperature (Fahrenheit).
DOK 1
and color.
thermometer.
Use standard units of
measurement to identify
describe, and compare
measurable attributes
and make estimates.
Measure partner’s feet to
the nearest inch and
centimeter.
Read time to nearest 5
minutes to tell classmates
when lunch is near.
Identify, compare, and
order amounts of
money using coins and
bills and use correct
symbols for money.
Tell time to the hour,
half hour, quarter-hour,
five minutes and one
minute and determine
elapsed time.
Nonstandard, Standard,
Weight, Pound, Gram,
Ounce,
Inch, Foot, Yard,
Centimeter, Meter,
Liquid, Cup, Pint, Quart,
Gallon, Liter
Area, Perimeter,
Length, Weight,
Width, Height,
Amount, Unit of measure,
$ sign,
Decimal, Penny, Dime,
Nickel,
Quarter, Half dollar
Quarter hour, Quarter till,
Quarter after (of)
GRADING
PERIOD
(Flash Cards, Workmats for subtraction facts)
Kentucky Learns Links
(Units & Systems of Weigh/Linear Measure)
OR – Ruler Measurement
Halloween Suncatchers
(Geometry and Measurement)
Subtraction
(Flash Cards, Workmats for subtraction facts)
Kentucky Learns Links
(Units & Systems of Weight/Linear Measure)
Living Math
(Adding and Subtracting Numbers)
Subtraction
(Flash Cards, Workmats for subtraction facts)
Counting Money
Subtraction
(Flash Cards, Workmats for subtraction facts)
Kentucky Learns Links
(Money)
Kentucky Learns Links
(Time)
Real World Measurement
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
5
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
(Baking Unit)
Use touch five money math strategy.
Money bingo
MA-EP-2.1.2
Students will use standard units to measure
temperature in Fahrenheit and Celsius to the
nearest degree.
See standard.
MA-EP-2.1.3
Students will choose appropriate tools (e.g.,
thermometer, scales, balances, clock, ruler) for
specific measurement tasks.
See standard.
MA-EP-2.1.4
Students will use nonstandard and standard units
of measurement to identify measurable attributes
of an object (length – in, cm; weight – oz, lb) and
make an estimate using appropriate units of
measurement.
MA-EP-2.1.5
Students will use units of measurement to
describe and compare attributes of objects to
include length (in, cm), width, height, money
(cost), temperature (F), and weight (oz, lb), and
sort objects and compare attributes by shape,
size, and color.
MA-EP-2.1.6
Students will estimate weight, length, perimeter,
area, angles, and time using appropriate units of
measurement.
Systems of Measurement
MA-EP-2.2.1
Students will describe, define, give examples of
See standard.
1
Predict the length of a
specific object.
3
See standard.
2
See standard.
3
See standard.
3
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
6
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
and use to solve real-world and mathematical
problems nonstandard and standard (U.S.
Customary, metric) units of measurement to
include length (in., cm.), time, money,
temperature (Fahrenheit) and weight (oz., lb).
MA-EP-2.2.2
Students will determine elapsed time by half
hours.
See standard.
MA-EP-2.2.3
See standard.
4
Students will convert units within the same
measurement including money (dollars, cents),
time (minute, hours, days, weeks, months), weight
(ounce, pound), and length (inch, foot).
Geometry
Students explore and find basic geometric elements and terms, two-dimensional shapes and three-dimensional objects. They find and use symmetry. They move twodimensional figures in a plane and explore congruent and similar figures.
Shapes and Relationships
MA-EP-3.1.1
Students will describe and provide examples of
basic geometric elements and terms (sides,
edges, faces, vertices, angles), and will apply
these elements to solve real-world and
mathematical problems.
DOK 2
MA-EP-3.1.2
Students will describe and provide examples of
basic two-dimensional shapes (circles,
triangles, squares, rectangles, trapezoids,
rhombuses, hexagons), and will apply these
shapes to solve real-world and mathematical
problems.
Identify, describe,
model, draw, compare,
and classify 2dimensional figures and
3-dimensional objects
using elements,
attributes and
properties.
Sides, Edges, Faces,
Angles, Vertex
Kentucky Learns Links
(Geometric Elements)
4
Investigate and solve
real-world problems
using the elements,
attributes, and
properties, of basic 2dimensional figures.
Identify, Compare
Measure, Label,
Construct
Halloween Suncatchers
(Geometry and Measurement)
4
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
Kentucky Learns Links
(Identify & Construct Figures)
7
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Investigate and solve
real-world problems
using the elements,
attributes and properties
of 3-dimentional
objects.
Kentucky Learns Links
(Identify and Construct Figures)
4
Alphabet Symmetry
2,3
DOK - 2
MA-EP-3.1.3
Students will describe and provide examples of
basic three-dimensional objects (spheres,
cones, cylinders, pyramids, cubes), and will
apply the attributes to solve real-world and
mathematical problems.
DOK 1
MA-EP-3.1.5
Students will identify and describe congruent
figures in real-world and mathematical problems.
Transformations of Shapes
MA-EP-3.2.1
Students will describe and provide examples of
line symmetry in real-world and mathematical
problems or will apply one line of symmetry to
construct a simple geometric design.
DOK 2
What does it mean if
something is threedimensional?
Cube, Cone, Sphere,
Cylinder, Pyramid,
Rectangular prisms,
Plane, Three
dimensional, Solids
Determine if simple
shapes are congruent.
Determine lines of
symmetry in simple
shapes and identify and
describe symmetrical 2dimensional figures.
Examine examples of
line symmetry in realworld situations.
Explore flips, slides,
and turns.
What is a line of
symmetry?
Shapes - OR
How do you determine
if two objects are
congruent?
Kentucky Learns Links
(Congruency & Symmetry)
Congruent, Symmetry,
Line of symmetry,
Geometric design,
Manipulatives
Coordinate Geometry
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
8
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
MA-EP-3.3.1
Students will locate points on a grid representing
a positive coordinate system.
Identify, draw, and
represent line segments
and angles.
GRADING
PERIOD
Locate points and
figures on a grid.
Data Analysis and Probability
Students pose questions, plan and collect data, organize and display data and interpret displays of data. They generate outcomes for simple probability activities, determine
fairness of probability games and explore likely and unlikely events.
Data Representations
MA-EP-4.1.1
Students will analyze and make inferences
from data displays (drawings, tables/charts,
tally tables, pictographs, bar graphs, circle
graphs with two or three sectors, line plots,
two-circle Venn diagrams).
DOK 3
MA-EP-4.1.2
Students will collect data.
MA-EP-4.1.3
Students will organize and display data.
Characteristics of Data Sets
MA-EP-4.2.1
Students will determine the mode (of a set of data
Make a graph using
concrete manipulatives
and read data displayed
on a concrete graph.
What is data?
Display, read and
compare data on
student-invented graphs
and student-collected
data (pictograph and
bar graph).
Bar graph, Data,
Pictograph, Interpret
Collect, Organize
What is the most popular
color?
How can data be
organized?
Kentucky Learns Links
(Create & Interpret Graphs)
2
Cookie Graph
Measurements & Graphing
(Pumpkin Unit)
Construct a bar graph from data collected of the
various colors of vehicles in the parking lot.
Display data in line
plots.
See standard.
See standard.
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
9
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
with no more than one mode) and the range of a
set of data.
Experiments and Samples
MA-EP-4.3.1
Students will pose questions that can be answered
by collecting data.
Probability
MA-EP-4.4.3
Students will describe and give examples of the
probability of an unlikely event (near zero) and a
likely event (near one).
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
See standard.
Explore chance through
games and events.
Compare likely and
unlikely outcomes.
Explore basic concepts
of probability through
simple experiments.
Algebraic Thinking
Students explore and examine patterns and develop rules to go with patterns. They generate input-output for functions and create tables to analyze functions. They use ordered
pairs and plot points in the first quadrant of the Cartesian plane. Students use number sentences with missing values.
Patterns, Relations, and Functions
MA-EP-5.1.1
Students will extend simple patterns (e.g.,
2,4,6,8,…; ◊∆◊∆…).
Identify and describe
patterns in real life and
in numerical and
geometric situations.
DOK 2
Reproduce and extend
patterns using
manipulatives.
Recognize and extend
simple number patterns.
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
10
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
MA-EP-5.1.2
Students will describe functions (input-output)
through pictures and words.
DOK 2
MA-EP-5.1.3
Students will determine the value of an output
given a function rule and an input value.
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Use calculators to
explore how constant
addition produces a
pattern and can be
expressed as a rule for a
pattern.
Explore input-output
machines and solve
simple function
machine tasks.
See standard.
Variables, Expressions, and Operations
Equations and Inequalities
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
11
updated 6/5/08
2nd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Solve simple equations.
MA-EP-5.3.1
Students will model real-world and
mathematical problems with simple number
sentences (equations and inequalities) with a
missing value (e.g.,
2 + ? = 7, ___< 6) and apply simple number
sentences to solve mathematical and real-world
problems.
DOK 2
Solve simple
inequalities.
Solve for unknowns in
simple open sentences.
Use manipulatives,
numbers, and/or
symbols to model realworld situations with
simple number
sentences.
Read and create story
problems to represent
mathematical sentences
with missing values.
Explore unknowns and
open sentences to
express relationships.
Create stories about
mathematical sentences
with missing values.
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
*Performance Indicators represent skills from Program of Studies
12
updated 6/5/08