3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Number Properties and Operations
Whole number sense, 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
Students will be able to Why do I need to know
Martian
1,2,3
MA-EP-1.1.1
use manipulatives to
how to read, write, and
Students will:
understand facts.
compare whole numbers? Kentucky Learns Links
• apply multiple representations (e.g.,
How will I use this in my
(rounding)
drawings, manipulatives, base-10 blocks,
Students will be able to daily life?
number lines, expanded form, symbols) to
regroup numbers to
Kentucky Learns Links
describe whole numbers (0 to 10,000):
four digits.
Why is it important to
(place value)
• apply multiple representations (e.g.,
learn to regroup numbers
drawings, manipulatives, base-10 blocks,
Students will be able to up to four digits in
Kentucky Learns Links
number lines, symbols) to describe
identify
place
value
to
addition
and
subtraction?
(number line)
fractions (halves, thirds, fourths);
the
ten
thousands
place.
• apply these numbers to represent realExpanded form
OR Fractions
world problems and
Students
will
be
able
to
Fractions
• explain how the base 10 number system
read and write numbers Place value
relates to place value.
and their points on a
Number line
DOK 2
number line.
Point plot
MA-EP-1.1.2
Students will be able to Number words
OR Question
3
Students will read, write, and rename whole
read and write to
(place value)
numbers (0 to 10,000) and apply to real-world
10,000.
and mathematical problems.
Kentucky Learns Links
(numbers and counting)
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
1
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
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
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Students will be able to
compare whole
numbers for greater,
lesser or equal.
Students will be able to
understand equivalence
relationships between
simple fractions and
whole numbers.
2,3,4
How could you use real
life situations to explain
fractions, decimals and
whole numbers?
Place value, value
Compare, greater, less,
equal, Equivalent
Kentucky Learns Links
(place value)
Kentucky Learns Links
(addition and subtraction)
Kentucky Learns Links
(fractions)
OR Possible Combinations
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
Students will be able to
use estimation in
computing results.
When is knowing how to
estimate useful?
Students will be able to
add and subtract simple
fractions and simple
decimals.
Students will use
manipulatives and
physical models to
explore the concepts of
addition, subtraction,
multiplication, and
division.
Students will use
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
2,4
Pumpkin Seeds
How do you make
estimation?
Computing
Estimate
Quantities
Number Operations
MA-EP-1.3.1
Students will analyze real-world problems to
identify the appropriate representations using
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.
Valentine Graphing
Kentucky Learns Links
(measurement)
Kentucky Learns Links
(estimation)
Why is it important to
know all of our basic
subtraction, addition,
multiplication and
division facts?
Broken Heart
How does skip counting
relate to multiplication?
Kentucky Learns Links
(addition and subtraction)
Factors product
Decimal point
Mental computation
Addend, sum, difference
Numerator denominator
T-races
1,2,3,4
Martian
Multiplication & Me
Kentucky Learns Links
(add/subtract fractions/decimals)
2
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
DOK 2
mental math,
pencil/paper methods,
calculators, and/or
computers to explore
mathematical concepts.
Fraction whole number
Simple fraction
GRADING
PERIOD
Kentucky Learns Links
(mental math/estimation)
Kentucky Learns Links
(math worksheets)
Kentucky Learns Links
(fractions)
Students will be able to
regroup numbers in
addition and
subtraction.
OR Pizza Party
Students will know
placement of numerator
and denominator.
MA-EP-1.3.2
Students will skip-count forward and backward
by 2s, 5s, 10s, and 100s.
MA-EP-1.3.3
Students will divide two digit numbers by single
Students will be able to
determine which
fraction is larger in a
given set. Students will
be able to readily recall
addition and subtraction
facts through 20 and
multiplication facts 010, and understand
division facts.
Students will be able to
skip count forward and
backward by any whole
number up to ten and
any multiples of 10
using mental math and
manipulatives.
Students will be able to
understand division
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
Skip count multiples
Why is it important to
know all of our basic
subtraction, addition,
Kentucky Learns Links
(numbers and counting)
2
3,4
3
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
digit divisors (with or without remainders) in
real-world and/or mathematical problems.
facts.
GRADING
PERIOD
multiplication and
division facts?
Divisor
Dividend
Quotient
Ratios and Proportional Reasoning (not assessed at the elementary level)
Properties of Numbers and Operations
Students will recognize
MA-EP-1.5.1
odd and even numbers.
Students will identify and provide examples of
odd numbers, even numbers, and multiples of
Students will be able to
a number, and will apply these numbers to
identify multiples of
solve real-world problems.
numbers up to 10.
DOK 2
Why is it important to
understand odd numbers,
even numbers and
multiples and how they
relate to everyday
situations?
Kentucky Learns Links
(numbers and counting)
Odd; even
Multiples
OR Even and Odd Three Digit Numbers (2)
1
OR Even and Odd Two Digit Numbers
OR Even and Odd Three Digit Numbers
MA-EP-1.5.2
Students will
Commutative property
OR-Peaches (multiplication)
3
Students will use the commutative properties of
understand various
Identity properties
addition and multiplication, the identity
properties of addition
Zero property
OR-Video Return
properties of addition and multiplication and the
and multiplication.
zero 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.
Students will measure
How are standard units of Have time?
3,4
MA-EP-2.1.1
to the nearest half-inch
measurement used in
• Students will apply standard units to
everyday life?
OR Question
measure length (to the nearest half-inch or and quarter-inch.
(money)
the nearest centimeter) and to determine:
Students will know how Half past
• weight (nearest pound);
to count money to the
Quarter of/after
• time (nearest minute); and
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
4
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
money (identify coins and bills by value)
and
• temperature (Fahrenheit).
DOK 1
exact amount and make
change to $1.00; using
the correct symbols for
money.
•
Weight, pounds, ounces,
length, centimeter, inch
Amount
Elapsed time
Students will tell time
to the nearest minute,
and determine elapsed
time.
MA-EP-2.1.2
Students will use standard units to measure
temperature in Fahrenheit and Celsius to the
nearest degree.
MA-EP-2.1.3
Students will choose appropriate tools (e.g.,
thermometer, scales, balances, clock, ruler) for
specific measurement tasks.
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.
Students will be able to
weigh objects to the
nearest pound.
Students will identify
temperature on both the
Fahrenheit and Celsius
scale.
Students will be able to
use proper tools when
measuring.
Students will be able to
estimate measurement
using both standard and
Metric units of
measurement.
Students will be able to
order objects by
weight and length.
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
GRADING
PERIOD
Kentucky Learns Links
(measurement)
Kentucky Learns Links
(time)
OR-balance grams
Fahrenheit
Celsius
3
Balances
3
Attributes
OR Question
(money)
2,3
Kentucky Learns Links
(measurement)
Kentucky Learns Links
(geometric shapes)
3
OR-Shapes
5
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
MA-EP-2.1.6
Students will estimate weight, length, perimeter,
area, angle measures and time using appropriate
units of measurement.
Systems of Measurement
MA-EP-2.2.1
Students will describe, define, give examples of
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).
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Perimeter
Area
angle
Students will give
examples of each of the
following:
Measurement in inches
and centimeters
Time
Money
Fahrenheit temperature
Weight in pounds and
ounces
Customary
Metric
Elapsed time
Kentucky Learns Links
(measurement)
3
OR-Jawbreaker/money
OR-Sharing a Pie (money)
Students will determine
elapsed time in half
hours.
MA-EP-2.2.2
Students will determine elapsed time by half
hours.
MA-EP-2.2.3
Students will convert units within the same
measurement including money (dollars, cents),
time (minutes, hours, days, weeks, months),
weight (ounce, pound), and length (inch, foot).
Students will be able to
convert unit:
Money
Time
Weight
Length
OR-Punch recipe
OR-Ruler: cm/in
Geometry
Students explore and find basic geometric elements and terms, two-dimensional shapes and three-dimensional objects. They find and use symmetry. They move two-dimensional
figures in a plane and explore congruent and similar figures.
Shapes and Relationships
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
6
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
MA-EP-3.1.1
Students will describe and provide examples of
basic geometric elements and terms (sides,
edges, faces, bases, 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.
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 these 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.
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Students will recognize
basic geometric
elements such as sides,
faces, vertices, edges,
and angles.
1,4
Students will identify,
draw, and represent line
segments and angles.
Students will be able to
describe plane and
geometric figures in
terms of shape, size,
perimeter and area.
Students will identify,
compare, measure, label
and draw all basic two
dimensional geometric
shapes.
Students will identify,
compare, and label:
• Cubes
• Spheres
• Cylinders
• Cones
• Pyramids
• Rectangular
prisms
Students will identify
and describe congruent
figures. Students will
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
How does geometry relate
to real world situations?
Kentucky Learns Links
(2D and 3D shapes)
Sides
Edges
Faces
Vertices
Angles
Kentucky Learns Links
(geometric elements)
When is the
understanding of twodimensional shapes useful
in real-world situations?
Two-dimensional
Trapezoid, Rhombus,
Hexagon
When is the
understanding of 3dimenstional shapes
useful in real-world
situations?
Kentucky Learns Links
(2D and 3D shapes)
4
Geometric solids
3-dimensional;
Congruent
7
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
determine if simple
shapes are congruent.
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
Students will be able to
match congruent figures
and draw a line of
symmetry.
In what situations can you
use symmetry in the real
world?
Kentucky Learns Links
(congruence & symmetry)
2
Symmetry, Congruent
Students will explore
flips, slides, and turns
using physical models,
and identify these
images in a plane.
Flips (reflections)
Slides (translations)
Turns (rotations)
Students will be able
use symmetry to
construct a geometric
design.
Coordinate Geometry
MA-EP-3.3.1
Students will be able to Ordered pairs
Kentucky Learns Links
4
Students will locate points on a grid representing recognize coordinates.
(coordinates)
a positive coordinate system.
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.
Students will be able to How can using a Venn
Fish Bowl
4
MA-EP-4.1.1
collect and organize
diagram help in
Students will analyze and make inferences
data into appropriate
comparing data? Why
Birthday Graph
from data displays (drawings, tables/charts,
graphs.
would this be helpful in
tally tables, pictographs, bar graphs, circle
the real world?
Kentucky Learns Links
graphs with two or three sectors, line plots,
(charts and graphs)
two-circle Venn diagrams).
How can you explain the
DOK 3
importance of organizing
OR-sharing a pie (graphing)
information into charts
and graphs?
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
8
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Line, Bar, Pie,
Pictograph, Tally,
Line plot, Venn diagram
MA-EP-4.1.2
Students will collect data.
MA-EP-4.1.3
Students will organize and display data.
Students will collect
data.
Students will use
technology to organize
and display data.
How do you show and
compare data?
How do you show and
compare data?
Cookie Graph
2,4
Cookie Graph
2,4
Cookie Graph
2,4
Data, graph, pictograph,
bar graph
Characteristics of Data Sets
MA-EP-4.2.1
Students will determine the mode (of a set of data
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.
Students will use data
to make predictions and
draw simple
conclusions.
Data, graph, pictograph,
bar graph
Probability
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
9
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
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).
Students will use
manipulatives to
determine simple
probability.
2
Why is it important to
understand or be able to
determine probability?
Kentucky Learns Links
(probability)
OR-probability
Probability
Likely event
Unlikely event
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
Students will be able to Why is it important to be
Kentucky Learns Links
3
MA-EP-5.1.1
extend and create
able to extend simple
(patterns)
Students will extend simple patterns (e.g., 2, 4,
patterns.
patterns in the real world?
6, 8 …; ◊∆◊∆…) using manipulatives, pictures
OR-Patterns
or words.
DOK 2
OR Patterns
Students will describe
How are algebraic
OR-Pattern Features
MA-EP-5.1.2
equations useful/helpful
Students will describe functions (input-output) basic functions.
in the real world?
through pictures and words, and explore
Students will use
unknowns and open sentences to express
calculators to explore
Input, Output,
relationships, and create stories about
how constant addition
Functions
mathematical sentences with missing values.
produces a pattern.
DOK 2
MA-EP-5.1.3
Students will determine the value of an output
given a function rule and an input value.
Equations and Inequalities
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
10
updated 2/28/08
3rd Grade
Math
GRADE LEVEL STANDARDS/DOK
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
PERFORMANCE ESSENTIAL
SUGGESTED ACTIVITIES/
INDICATORS
QUESTIONS/
ASSESSMENTS
CONTENT/TERMS
GRADING
PERIOD
Students will find
solutions to number
sentences and sentences
with missing values.
3
Bold – State Assessment Content Statement
Italics – Supporting Content Statement
How are simple number
sentences used in
everyday life?
Equation, Inequality
Number sentence
11
updated 2/28/08