Grade 3 Math Map
Big Idea
Solve problems involving the four operations, and identify
and explain patterns in arithmetic.
Mathematical operations are used in solving problems in which a
new value is produced from one or more values.
Use place value understanding and properties of operations
to perform multi-digit arithmetic.
Understanding place value can lead to number sense and efficient
strategies for computing with numbers.
Use place value understanding and properties of operations
to perform multi-digit arithmetic.
Understanding place value, order of operations and the
relationship between addition and subtraction lead to efficient
strategies for computing with numbers.
Use place value understanding and properties of operations
to perform multi-digit arithmetic.
Understanding place value, order of operations and the
relationship between addition and subtraction lead to efficient
strategies for computing with numbers.
Solve problems involving the four operations and identify and
explain patterns in arithmetic
Mathematical operations are used in solving problems in which a
new value is produced from one or more values. Algebraic
thinking involves choosing, combining and applying effective
strategies for answering quantitative questions.
Represent and solve problems involving multiplication (and
division.)
Mathematical operations are used in solving problems in which a
new value is produced from one or more values. Algebraic
thinking involves choosing, combining ad applying effective
strategies for answering quantitative questions.
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Chapter Order
I Can Statements
Academic Vocabulary
3.OA.9
Identify arithmetic patterns (including patterns in the
addition table or multiplication table), and explain
them using properties of operations.
I can find patterns in addition
and multiplication tables and
explain them using what I know
about how numbers work.
word form, standard form, digit,
place-value chart, place-value strips,
expanded form, greater than, less
than, least, greatest, rule, number line
3.NBT.1
Use place value understanding to round whole
numbers to the nearest 10 or 100.
I can round numbers to the
nearest ten or 100.
rounded, reasonable, estimate,
overestimate, leading digit, front-end
estimation
I can add and subtract numbers
within 1000.
sum, regroup
3
3.NBT.2
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.
I can add and subtract numbers
within 1000.
difference, regroup
4
3.NBT.2
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.
I can use addition, subtraction,
multiplication and division to
solve all kinds of word problems
and then use mental math to
decide if my answers are
reasonable.
sum, difference
5
3.OA.8
Solve two-step word problems using the four
operations. Represent these problems using equations
with a letter standing for the unknown quantity.
Assess the reasonableness of answers using mental
computation and estimation strategies including
rounding.
3.OA.1
Interpret products of whole numbers, e.g., interpret 5
× 7 as the total number of objects in 5 groups of 7
objects each. For example, describe a context in which
a total number of objects can be expressed as 5 × 7.
I can understand multiplication
by thinking about groups of
objects.
skip, dot paper, number line,
Commutative Property, Associative
Property, Multiplication Property of
One, Multiplication Property of Zero,
array model, area model, equal
groups
1
2
6
Standard
Grade 3 Math Map
Understand properties of multiplication (and the relationship
between multiplication and division.)
Mathematical operations are used in solving problems in which a
new value is produced from one or more values. Algebraic
thinking involves choosing, combining and applying effective
strategies for answering quantitative questions.
Represent and solve problems involving multiplication and
division.
Mathematical operations are used in solving problems in which a
new value is produced from one or more values. Algebraic
thinking involves choosing, combining and applying effective
strategies from answering quantitative questions.
Represent and solve problems involving multiplication and
division.
Mathematical operations are used in solving problems in which a
new value is produced from one or more values.
Algebraic thinking involves choosing, combining and applying
effective strategies for answering quantitative questions.
Solve problems involving measurement and estimation of
intervals of time, liquid volumes, and masses of objects.
Measurement processes are used in everyday life to describe and
quantify the world. Data displays (pictures, numbers, unit words,
graphs, scales, actual objects) describe and represent data in
alternative ways.
Solve problems involving measurement and estimation of
intervals of time, liquid volumes, and masses of objects.
Measurement processes are used in everyday life to describe and
quantify the world. Data displays (pictures, numbers, unit words,
graphs, scales, actual objects) describe and represent data in
alternative ways.
Represent and interpret data.
Measurement processes are used in everyday life to describe and
quantify the world.
Page: 2/4
3.OA.5
Apply properties of operations as strategies to
multiply and divide.
I can use the Commutative
property of multiplication. (I
know that if 6 x 4 = 24, then 4 x
6 = 24.)
product
I can understand division by
thinking about how one group
can be divided into smaller
groups.
quotient, remainder, even number,
odd number
8
3.OA.2
Interpret whole-number quotients of whole numbers,
e.g., interpret 56 ÷ 8 as the number of objects in each
share when 56 objects are partitioned equally into 8
shares, or as a number of shares when 56 objects are
partitioned into equal shares of 8 objects each.
I can use what I know about
multiplication and division to
solve word problems.
twice, double
9
3.OA.3
Use multiplication and division within 100 to solve
word problems in situations involving equal groups,
arrays, and measurement quantities, e.g., by using
drawings and equations with a symbol for the
unknown number to represent the problem.
11
3.MD.2
Measure and estimate liquid volumes and masses of
objects using standard units of grams (g), kilograms
(kg), and liters (l). Add, subtract, multiply, or divide to
solve one-step word problems involving masses or
volumes that are given in the same units, e.g., by using
drawings (such as a beaker with a measurement scale)
to represent the problem.
I can measure liquids and solids
with liters, grams and kilograms.
I can use addition, subtraction,
multiplication and division to
solve word problems involving
mass and volume.
meter (m), centimeter (cm), kilometer
(k), distance, kilogram (kg), gram (g),
liter (L), milliliter (mL), volume,
capacity
I can measure liquids and solids
with liters, grams and kilograms.
I can use addition, subtraction,
multiplication and division to
solve word problems involving
mass and volume.
N/A
12
3.MD.2
Measure and estimate liquid volumes and masses of
objects using standard units of grams (g), kilograms
(kg), and liters (l). Add, subtract, multiply, or divide to
solve one-step word problems involving masses or
volumes that are given in the same units, e.g., by using
drawings (such as a beaker with a measurement scale)
to represent the problem.
I can create a picture or bar
graph to show data and solve
problems using the information
from the graphs.
vertical, horizontal, axis, scale, line
plot, survey
13
3.MD.3
Draw a scaled picture graph and a scaled bar graph to
represent a data set with several categories. Solve oneand two-step “how many more” and “how many less”
problems using information presented in scaled bar
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Grade 3 Math Map
Page: 3/4
graphs.
Reason with shapes and their attributes.
Geometric attributes such as shapes, lines, angles, figures, and
planes provide descriptive information about an object's
properties and position in space and support visualization and
problem solving.
Represent and interpret data.
Measurement processes are used in everyday life to describe and
quantify the world.
Solve problems involving measurement and estimation of
intervals of time, liquid volumes, and masses of objects.
Measurement processes are used in everyday life to describe and
quantify the world. Data displays (with time) describe and
represent data in alternative ways. (Analog and digital clocks,
time lines, number lines, pictures, words, numbers, etc.)
Geometric measurement: understand concepts of area and
relate area to multiplication and to addition.
Measurement processes are used in everyday life to describe and
quantify the world. Measurement processes are related to
numerical operations and number patterns.
Reason with shapes and their attributes.
Geometric attributes such as shapes, lines, angles, figures, and
planes provide descriptive information about an object's
properties and position in space and support visualization and
problem solving.
Reason with shapes and their attributes.
Geometric attributes such as shapes, lines, angles, figures, and
3.G.2
Partition shapes into parts with equal areas. Express
the area of each part as a unit fraction of the whole.
I can divide shapes into parts
with equal areas and show those
areas as fractions.
whole, equal parts, numerator,
denominator, equivalent fractions,
number line, simplest form,
benchmark, like fractions, unlike
fractions
3.MD.4
Generate measurement data by measuring lengths
using rulers marked with halves and fourths of an
inch. Show the data by making a line plot, where the
horizontal scale is marked off in appropriate units—
whole numbers, halves, or quarters.
I can create a line plot from
measurement data, where the
measured objects have
been measured to the nearest
whole number, half or quarter.
inch (in.), half-inch, foot (ft), yard
(yd), mile (mi), quarter-inch, three
quarter-inch, ounce (oz), pound (lb),
ton (T), cup (c), pint (pt), quart (qt),
gallon (gal)
3.MD.1
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, e.g., by representing the problem on a
number line diagram.
I can tell and write time to the
nearest minute.
I can measure time in minutes. I
can solve telling time word
problems by adding and
subtracting minutes.
hour, past, minute, to, hours (h),
minutes (min), elapsed time, time
line, temperature, thermometer,
degrees, Farenheit (°F), cold, warm,
hot
3.MD.6
Measure areas by counting unit squares (square cm,
square m, square in, square ft, and improvised units).
I can measure areas by counting
unit squares.
area, square units, square centimeter
(cm²), square inch (in.²), square meter
(m²), square foot (ft²), perimeter
17
3.G.1
Understand that shapes in different categories (e.g.,
rhombuses, rectangles, and others) may share
attributes (e.g., having four sides), and that the shared
attributes can define a larger category (e.g.,
quadrilaterals). Recognize rhombuses, rectangles, and
squares as examples of quadrilaterals, and draw
examples of quadrilaterals that do not belong to any of
these subcategories.
I can place shapes into categories
depending upon their attributes.
I can recognize and draw
quadrilaterals such as
rhombuses, rectangles and
squares, as well as other
examples of quadrilaterals.
point, angle, line, endpoint, line
segment, right angle, greater than,
less than, perpendicular lines, is
perpendicular to, parallel lines, is
parallel to
18
3.G.1
Understand that shapes in different categories (e.g.,
I can place shapes into categories
depending upon their attributes.
plane figure, open figure, closed
figure, polygon, vertex, quadrilateral,
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15
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Grade 3 Math Map
Page: 4/4
planes provide descriptive information about an object's
properties and position in space and support visualization and
problem solving.
rhombuses, rectangles, and others) may share
attributes (e.g., having four sides), and that the shared
attributes can define a larger category (e.g.,
quadrilaterals). Recognize rhombuses, rectangles, and
squares as examples of quadrilaterals, and draw
examples of quadrilaterals that do not belong to any of
these subcategories.
I can recognize and draw
quadrilaterals such as
rhombuses, rectangles and
squares, as well as other
examples of quadrilaterals.
parallel, rhombus, parallelogram,
pentagon, octagon, tangram, flip,
slide, turn, rotate, congruent,
symmetry, line of symmetry
Use place value understanding and properties of operations
to perform multi-digit arithmetic.
Understanding place value can lead to number sense and efficient
strategies for computing with numbers.
Understanding place value and using algorithms based on
properties of operations and relationships between addition and
subtraction can lead to number sense and accurate computation
with numbers.
3.NBT.2
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.
I can add and subtract numbers
within 1000.
N/A
10