Grade 4 Math Map
Big Idea
Page: 1/5
Chapter
Order
Generalize place value understanding for multi-digit
whole numbers: Understanding place value can lead to
number sense and efficient strategies for computing with
numbers.
1
Generalize place value understanding for multi-digit
whole numbers: The position of a digit within a number
determines its value in that number.
Use the four operations with whole numbers to solve
problems: Regardless of the order of factors in a
multiplication equation, the produce will remain the same.
Gain familiarity with factors and multiples:
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.
Generate and analyze patterns: 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.
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, A variety
of strategies can be used to solve multi-digit problems.
2
3
Standard
I Can Statements
Academic Vocabulary
4.NBT.1,2
1: Recognize that in a multi-digit whole number, a
digit in one place represents ten times what it
represents in the place to its right.
2: Read and write multi-digit whole numbers using
base-ten numerals, number names, and expanded
form. Compare two multi-digit numbers based on
meanings of the digits in each place, using >, =, and
< symbols to record the results of comparisons.
1: I can recognize that in multi-digit whole
number, a digit in one place represents ten
times what it represents in the place to its right.
2: I can read and write larger whole numbers
using numerals, words and in expanded form.
ten thousand, hundred thousand,
standard form, word form,
expanded form, greater than (>),
less than (<), more than, greatest,
least, order
4.OA.3, 4, 5
3: Solve multistep word problems posed with whole
numbers and having whole-number answers using
the four operations, including problems in which
remainders must be interpreted. 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.
4: Find all factor pairs for a whole number in the
range 1–100. Recognize that a whole number is a
multiple of each of its factors. Determine whether a
given whole number in the range 1–100 is a multiple
of a given one-digit number. Determine whether a
given whole number in the range 1–100 is prime or
composite.
5:Generate a number or shape pattern that follows a
given rule. Identify apparent features of the pattern
that were not explicit in the rule itself.
3: I can choose the correct operation to
perform at each step of a multi-step word
problem., can interpret remainders in word
problems, can write equations using a variable
to represent the unknown, I can use mental
math or estimation strategies to check if my
answer is reasonable.
estimate, reasonable, front-end
estimation, rounding, product,
quotient, factor, greatest common
factor, prime number, composite
number, multiple, common
multiple, least common multiple
4.NBT.5, 6
5: Multiply a whole number of up to four digits by a
one-digit whole number, and multiply two two-digit
numbers, using strategies based on place value and
the properties of operations. Illustrate and explain the
5: I can multiply a multi-digit number by a
one-digit whole number, I can demonstrate
multiplication of two two-digit numbers using
rectangular arrays, place value, and the area
model, I can solve multiplication of two two-
4: I can define factors and multiples, I can list
all of the factor pairs for any whole number in
the range 1-100, I can determine multiples of a
given whole number, • I can define prime and
composite, I can determine if a number is
prime or composite.
5: I can generate a pattern that follows a given
rule, I can identify and explain additional
patterns or special behaviors in a pattern that go
beyond the given rule.
round, estimate, product, regroup,
quotient, remainder,
Grade 4 Math Map
Page: 2/5
Extend understanding of fraction equivalence and
ordering: Fractions and decimals allow for quantities to be
expressed with greater precision than with just whole
numbers.
6
calculation by using equations, rectangular arrays,
and/or area models.
6: Find whole-number quotients and remainders
with up to four-digit dividends and one-digit divisors,
using strategies based on place value, the properties
of operations, and/or the relationship between
multiplication and division. Illustrate and explain the
calculation by using equations, rectangular arrays,
and/or area models.
digit numbers using properties of operations
and equations, I can explain my chosen
strategy.
4.NF.1,2,3,4
1: Explain why a fraction a/b is equivalent to a
fraction (n × a)/(n × b) by using visual fraction
models, with attention to how the number and size of
the parts differ even though the two fractions
themselves are the same size. Use this principle to
recognize and generate equivalent fractions.
2: Compare two fractions with different numerators
and different denominators, e.g., by creating common
denominators or numerators, or by comparing to a
benchmark fraction such as 1/2. Recognize that
comparisons are valid only when the two fractions
refer to the same whole. Record the results of
comparisons with symbols >, =, or <, and justify the
conclusions, e.g., by using a visual fraction model.
3:Understand a fraction a/b with a > 1 as a sum of
fractions 1/b.
1: I can recognize and identify equivalent
fractions with unlike denominators, I can
explain equivalent fractions such as ½ = 2/4
and 3/6 = 4/8, I can use visual fraction models
to show why fractions are equivalent (ex. ¾ =
6/8), I can determine equivalent fractions using
fraction models and explain why they can be
called “equivalent”.
2: I can recognize fractions as being greater
than, less than, or equal to other fractions, I can
record comparison results with symbols: <, >, =
, I can use benchmark fractions such as ½ for
comparison purposes, I can make comparisons
based on parts of the same whole, I can
compare two fractions with different
numerators, I can compare two fractions with
different denominators, I can prove the results
of a comparison of two fractions
3: I can add unit fractions (1/b) to get a fraction
greater than one, I can use fraction models to
add fractions to make a whole, I can use
fraction models to subtract fractions away from
the whole.
I can add and subtract fractions with like
denominators, I can recognize different ways to
represent one whole using fractions with the
same denominator, I can use fraction models to
take apart a fraction, I can add fractions with
3a: Understand addition and subtraction of fractions
as joining and separating parts referring to the same
whole.
3b: Decompose a fraction into a sum of fractions
with the same denominator in more than one way,
recording each decomposition by an equation. Justify
decompositions,
#c: Add and subtract mixed numbers with like
denominators, e.g., by replacing each mixed number
with an equivalent fraction, and/or by using
6: I can demonstrate division of a multi-digit
number by a one-digit number using place
value, rectangular arrays, and area model, I can
solve division of a multi-digit number by a onedigit number using properties of operations and
equations, I can explain my chosen strategy.
numerator, denominator,
equivalent fraction, unlike
fraction, mixed number, simplest
form, improper fraction, fraction
bar, division rule, multiplication
rule
Grade 4 Math Map
Understand decimal notation for fractions and compare
decimal fractions: Fractions and decimals can be compared
in many ways.
Page: 3/5
7
properties of operations and the relationship between
addition and subtraction.
3d: Solve word problems involving addition and
subtraction of fractions referring to the same whole
and having like denominators,.
4: Apply and extend previous understandings of
multiplication to multiply a fraction by a whole
number.
4a: Understand a fraction a/b as a multiple of 1/b.
4b: Understand a multiple of a/b as a multiple of 1/b,
and use this understanding to multiply a fraction by a
whole number.
4c: Solve word problems involving multiplication of
a fraction by a whole number, e.g., by using visual
fraction models and equations to represent the
problem.
same denominators in more than one way, I can
record decompositions of fractions as an
equation and explain the equation using
fraction models, I can write an equation that
shows how to add fraction (with like
denominators) in more than one way using a
fraction model.
I can add and subtract mixed numbers with like
denominators, I can replace mixed numbers
with equivalent fractions, using fraction
models, I can replace improper fractions with a
mixed number, using fraction models, I can add
and subtract mixed numbers by replacing each
mixed number with an equivalent fraction, I
can add and subtract fractions with like
denominators, I can solve word problems
involving addition of fractions referring to the
same whole and having like denominators, by
using fraction models and equations to
represent the problems, I can solve word
problems involving subtraction of fractions
referring to the same whole and having like
denominators, by using fraction models and
equations to represent the problems.
4: I can use fraction models to show
multiplication of fraction is repeated addition ¼
+ ¼ + ¼ + ¼ + ¼ = 5/4, I can multiply fractions
by a whole number using models, I can name
multiples of a fraction with a model, I can
multiply a fraction by a whole number, I can
multiply a fraction by a whole number, I can
use fraction models and equations to represent a
problem, I can solve word problems involving
multiplication of a fraction by a whole number.
4.NF.5,6,7
5: Express a fraction with denominator 10 as an
equivalent fraction with denominator 100, and use
this technique to add two fractions with respective
denominators 10 and 100.2
5: I can show a fraction with a denominator of
10 as an equivalent fraction with a
denominator of 100 in order to add the two
fractions.
6: I can use decimals to show fractions with
tenth, decimal form, decimal
point, expanded form, hundredth,
placeholder zero, more than, less
than, greater than, least, greatest,
order, round, equivalent fraction
Grade 4 Math Map
Page: 4/5
6:Use decimal notation for fractions with
denominators 10 or 100.
7: Compare two decimals to hundredths by
reasoning about their size. Recognize that
comparisons are valid only when the two decimals
refer to the same whole. Record the results of
comparisons with the symbols >, =, or <, and justify
the conclusions, e.g., by using a visual model.
denominators of 10 and 100.
7: I can compare two decimals to hundredths by
reasoning about their size.
Generalize place value understanding for multi-digit
whole numbers: Understanding place value can lead to
number sense and efficient strategies for computing with
numbers.
Generalize place value understanding for multi-digit
whole numbers: The position of a digit within a number
determines its value in that number.
8
N/A
Geometric measurement: understand concepts of angle
and measure angles: Measurement processes are used in
everyday life to describe and quantify the world.
9
Draw and identify lines and angles, and classify shapes
by angles: 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.
10
Geometric measurement: understand concepts of angle
and measure angles: Measurement processes are used in
everyday life to describe and quantify the world.
11
4.MD.5,6
5: Recognize angles as geometric shapes that are
formed wherever two rays share a common endpoint,
and understand concepts of angle measurement.
6: Measure angles in whole-number degrees using a
protractor. Sketch angles of specified measure.
5: I can recognize angles as geometric shapes
where two rays share a common endpoint. I
can understand that angles are measured with
reference to a circle, with its center at the
common endpoint of the rays.
6: I can use a protractor to measure angles in
whole-number degrees.
ray, vertex, protractor, degrees,
inner scale, outer scale, acute
angle, obtuse angle, straight
angle, turn, additive
4.G.1
Draw points, lines, line segments, rays, angles (right,
acute, obtuse), and perpendicular and parallel lines.
Identify these in two-dimensional figures.
I can identify and draw points, lines, line
segments, rays, angles and perpendicular &
parallel lines.
perpendicular line segments,
drawing triangle, parallel line
segments, base, horizontal lines,
vertical lines
4.MD.7
Recognize angle measure as additive. When an angle
is decomposed into non-overlapping parts, the angle
measure of the whole is the sum of the angle
measures of the parts. Solve addition and subtraction
problems to find unknown angles on a diagram in
real world and mathematical problems, e.g., by using
an equation with a symbol for the unknown angle
measure.
I can solve addition and subtraction problems
involving angles.
square, right angle, rectangle,
parallel
Grade 4 Math Map
Solve problems involving measurement and conversion
of measurements from a larger unit to a smaller unit:
Measurement processes are used in everyday life to
describe and quantify the world.
Draw and identify lines and angles, and classify shapes
by angles: 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.
Page: 5/5
I can use what I know about area and perimeter
to solve real world problems involving
rectangles.
length, width, composite figure
12
4.MD.3
Apply the area and perimeter formulas for rectangles
in real world and mathematical problems. For
example, find the width of a rectangular room given
the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an
unknown factor.
I can recognize and draw lines of symmetry.
13
4.G.3
Recognize a line of symmetry for a two-dimensional
figure as a line across the figure such that the figure
can be folded along the line into matching parts.
Identify line-symmetric figures and draw lines of
symmetry.
line of symmetry, symmetric
figure, rotation, rotational
symmetry, center of rotation,
clockwise, counter-clockwise
I can generate a pattern that follows a given
rule, I can identify and explain additional
patterns or special behaviors in a pattern that go
beyond the given rule.
tessellation, repeated shape, slide,
rotate, flip, modify
14
4.OA.5
Multiply a whole number of up to four digits by a
one-digit whole number, and multiply two two-digit
numbers, using strategies based on place value and
the properties of operations. Illustrate and explain the
calculation by using equations, rectangular arrays,
and/or area models.
Generate and analyze patterns: Mathematical operations
are used in solving problems in which a new value is
produced from one or more values.
Tables and Line Graphs
4
data, table, tally chart, row,
column, intersection, line graph,
horizontal axis, vertical axis
5
average, mean, median, mode,
range, line plot, stem-and-leaf
plot, outlier, outcome, certain,
more likely, equally likely, less
likely, impossible, favorable
outcome, probability
Data and Probability