4th Grade Math
Curwensville Area School District
Objectives
Skills
Assessment
Standards
Key Terms
Differentiation (if used)
Below Level
Above Level
1st Quarter
Chapter 1,
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Model the 10 to 1
relationship
among place value
positions in the
base 10 number
system
Read and write
whole numbers in
standard, word,
and expanded
forms
Compare and
order whole
numbers based on
the value of the
digits in each
number
Round a whole
number to any
place
Rename whole
numbers by
regrouping
M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,
Model place value
relationships
pg. 5-8
Read and write
numbers
Compare and
order numbers
Round numbers
place value; digit
pg. 9-12
expanded form;
form;whole numbers in expanded, standard and word form through
M04.A-T.1.1.2 Readword
and write
standard form;
period
pg. 13-16
M04.A-T.1.1.3 Compare two multi-digit numbers through 1,000,000 based on meanings of th
compare; order;
greater than; less
than; equal to
pg. 17-22
M04.A-T.1.1.4 Round multi-digit whole numbers (through 1,000,000) to any place.
round; estimate
Rename numbers pg. 23-26
M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,
regroup
Lesson 6
Lesson 7
Lesson 8
Chapter 2,
Lesson 1
Lesson 2
Add whole
numbers and
determine
solutions to
addition problems Add whole
are reasonable
numbers
Subtract whole
numbers and
determine
whether solutions
to subtraction
problems are
reasonable
Use the strategy
draw a diagram
to solve
comparison
problems with
addtion and
subtraction
Relate
multiplication
equations and
comparison
statements
Solve problems
involving
multiplicative
comparison and
additive
comparison
M04.A-T.2.1.1 Add and subtract multi-digit whole numbers (limit sums and subtrahends up t
pg. 27-30
addend; sum
M04.A-T.2.1.1 Add and subtract multi-digit whole numbers (limit sums and subtrahends up t
Subtract whole
numbers
Comparing
problems with
addition and
subtraction
pg. 31-34
addition;
difference
M04.A-T.2.1.1 Add and subtract multi-digit whole numbers (limit sums and subtrahends up t
pg. 35-42
addition;
subtraction
M04.B-O.1.1.1 Interpret a multiplication equation as a comparison. Represent verbal statem
Multiplication
comparisons
pg. 43-48
product; compare
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
Compare
problems
pg. 49-52
multiplicative;
additive
Lesson 3
Multply 10's,
100's, 1000's by
whole numbers
through 10
Lesson 4
Estimate products
by rounding and
determine if exact
answers to
multiplication
problems are
reasonable
answers
Estimate products pg. 57-60
Lesson 5
Use the
distributive
property to
multiply a twoMultiply by using
digit number by a the distributive
one-digit number property
Lesson 6
Use expanded
form to multiply a
multi-digt number
by a one-digit
Multiply by using
number
expanded form
Lesson 7
Use place value
and partial
products to
multiply a multidigit number by a Multiply by using
one-digit number partial products
Multiply 10's,
100's, 1000's
pg. 53-56
pg. 61-64
factor; multiply;
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
number line; place
value; product
M04.A-T.2.1.4 Estimate the answer to addition, subtraction, and multiplication problems usin
estimate; round
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
distributive
property; partial
product
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
pg. 65-68
expanded form
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
pg. 69-74
partial product
Lesson 8
Use mental math
and properties to
multiply a multidigit number by a Multiply by using
one-digit number mental math
Lesson 9
Use the draw a
diagram strategy Multi-step
to solve multi-step multiplication
problems
problems
Lesson 10
Use regrouping to
multiply a twoMultiply two-digit
digit number by a numbers with
one-digit number regrouping
pg. 83-86
Lesson 12
Multiply 3-digit &
4-digit numbers by
regrouping
Represent and
solve multi-step
problems using
equations
Chapter 3,
Lesson 1
Use place value
and multiplication
properties to
multiply by 10's
Multiply by 10's
Lesson 11
pg. 75-78
M04.B-O.1.1.3 Solve multi-step word problems posed with whole numbers using the four op
pg. 79-82
Multiply 3-digit &
4-digit numbers by
regrouping
pg. 87-90
Solve multi-step
problems using
equations
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
associative
property of
multiplication
pg. 91-98
pg. 99-104
None
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
regroup
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
regroup
regroup; multiM04.B-O.1.1.3 Solve multi-step word problems posed with whole numbers using the four op
step; equation;
variable
associative
property of
multiplication;
M04.A-T.2.1.2 Multiply
a whole number of up to four digits by a one-digit whole number and
factor; place
value; product
Lesson 4
Estimate products
by rounding or by
using compatible
numbers
Use area models
and partial
products to
multiply two-digit
numbers
Use place value
and partial
products to
multiply two digit
numbers
Lesson 5
Use regrouping to
multiply a twoMultiply with
digit numbers
regrouping
Lesson 6
Choose a method Choose a
to multiply two
multiplication
digit numbers
method
Lesson 7
Use the strategy
draw a diagram
to solve multi-step
multiplication
Multiply two digit
problems
numbers
pg. 127-134
Lesson 2
Lesson 3
Estimate products pg. 105-108
M04.A-T.2.1.4 Estimate the answer to addition, subtraction, and multiplication problems usin
compatible
numbers;
estimate; round
Area models and
partial products
M04.D-M.1.1.3 Apply the area and perimeter formulas for rectangles in real-world and math
area; partial
products
pg. 109-112
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
Multiply using
partial products
pg. 113-118
pg. 119-122
place value; digit
commutative
property of
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
multiplication;
regrouping
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and
pg. 123-126
review terms
M04.B-O.1.1.3 Solve multi-step word problems posed with whole numbers using the four op
review terms
Chapter 4,
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Use multiples to Use multiples to
estimate quotients estimate quotients pg. 135-140
Use models to
divide whole
numbers that do
not divide evenly
Use remainders to
solve division
problems
Divide 10's, 100's,
1000's by whole
numbers through
10
Use compatible
numbers to
estimate quotients
Use the
distributive
property to find
quotients
multiples;
counting number;
factor;
M04.A-T.2.1.4 Estimate
the answer to addition, subtraction, and multiplication problems usin
multiplication;
product
Remainders
pg. 141-144
remainder;
divide;dividends by one-digit divisors with answers written as
M04.A-T.2.1.3 Divide
up to four-digit
dividend; division;
divisor; quotient
Interpret
remainders
pg. 145-148
M04.A-T.2.1.3 Divide up to four-digit dividends by one-digit divisors with answers written as
review terms
Divide 10's, 100's,
1000's
pg. 149-152
100's; 1's; 10's;
M04.A-T.2.1.3 Divide up to four-digit dividends by one-digit divisors with answers written as
1000's; place
value
Use compatible
numbers to
estimate quotients pg. 153-156
M04.A-F.2.1.4 Solve word problems involving addition and subtraction of fractions referring
compatible
numbers
Division and the
distributive
property
M04.A-T.2.1.3 Divide up to four-digit dividends by one-digit divisors with answers written as
distributive
property
pg. 157-162
M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000), a digit in one place represents ten times what it r
M04.A-T.1.1.2 Read and write whole numbers in expanded, standard and word form through 1,000,000.
M04.A-T.1.1.3 Compare two multi-digit numbers through 1,000,000 based on meanings of the digits in each place, using >, =, and < symbols.
M04.A-T.1.1.4 Round multi-digit whole numbers (through 1,000,000) to any place.
M04.A-T.2.1.1 Add and subtract multi-digit whole numbers (limit sums and subtrahends up to and including 1,000,000).
M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and multiply 2 two-digit numbers.
M04.A-T.2.1.3 Divide up to four-digit dividends by one-digit divisors with answers written as whole-number quotients and remainders.
M04.A-T.2.1.4 Estimate the answer to addition, subtraction, and multiplication problems using whole numbers through six digits
M04.A-F.1.1.1 Recognize and generate equivalent fractions.
M04.A-F.1.1.2 Compare two fractions with different numerators and different denominators (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100) us
M04.A-F.2.1.1 Add and subtract fractions with a common denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; answers do not need to
M04.A-F.2.1.2 Decompose a fraction or a mixed number into a sum of fractions with the same denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 1
M04.A-F.2.1.3 Add and subtract mixed numbers with a common denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; no regrouping wi
M04.A-F.2.1.4 Solve word problems involving addition and subtraction of fractions referring to the same whole or set and having like denominators (de
M04.A-F.2.1.5 Multiply a whole number by a unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; final answers do not need to be reduc
M04.A-F.2.1.6 Multiply a whole number by a non-unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; final answers do not need to be r
M04.A-F.2.1.7 Solve word problems involving multiplication of a whole number by a fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100).
M04.A-F.3.1.1 Add two fractions with respective denominators 10 and 100.
M04.A-F.3.1.2 Use decimal notation for fractions with denominators 10 or 100.
M04.A-F.3.1.3 Compare two decimals to hundredths using the symbols >, =, or <, and justify the conclusions.
M04.B-O.1.1.1 Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative comparisons as multiplication equatio
M04.B-O.1.1.2 Multiply or divide to solve word problems involving multiplicative comparison, distinguishing multiplicative comparison from additive c
M04.B-O.1.1.3 Solve multi-step word problems posed with whole numbers using the four operations. Answers will be either whole numbers or have rem
M04.B-O.1.1.4 Identify the missing symbol (+, –, ×, ÷, =, <, >) that makes a number sentence true (single-digit divisor only).
M04.B-O.2.1.1 Find all factor pairs for a whole number in the interval 1 through 100. Recognize that a whole number is a multiple of each of its factors
M04.B-O.3.1.1 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule
M04.B-O.3.1.2 Determine the missing elements in a function table (limit to +, –, or × and to whole numbers or money).
M04.B-O.3.1.3 Determine the rule for a function given a table (limit to +, –, or × and to whole numbers).
M04.C-G.1.1.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensio
M04.C-G.1.1.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angle
M04.C-G.1.1.3 Recognize a line of symmetry for a two- dimensional figure as a line across the figure suchthat the figure can be folded along the line into
M04.D-M.1.1.1 Know relative sizes of measurement units within one system of units including standard units (in., ft, yd, mi; oz., lb; c, pt, qt, gal), metric
M04.D-M.1.1.2 Use the four operations to solve word problems involving distances, intervals of time (such as elapsed time), liquid volumes, masses of ob
M04.D-M.1.1.3 Apply the area and perimeter formulas for rectangles in real-world and mathematical problems (may include finding a missing side leng
M04.D-M.1.1.4 Identify time (analog or digital) as the amount of minutes before or after the hour.
M04.D-M.2.1.1 Make a line plot to display a data set of measurements in fractions of a unit (e.g., intervals of 1/2, 1/4, or 1/8).
M04.D-M.2.1.2 Solve problems involving addition and subtraction of fractions by using information presented in line plots (line plots must be labeled w
M04.D-M.2.1.3 Translate information from one type of display to another (table, chart, bar graph, or pictograph)
M04.D-M.3.1.1 Measure angles in whole-number degrees using a protractor. With the aid of a protractor, sketch angles of specified measure.
M04.D-M.3.1.2 Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems. (Angles must
n times what it represents in the place to its right.
mbols.
, 12, and 100) using the symbols >, =, or <, and justify the conclusions
s do not need to be reduced; no improper fractions as the final answer).
3, 4, 5, 6, 8, 10, 12, and 100), recording the decomposition by an equation. Justify decompositions (for example, by using a visual fraction model).
no regrouping with subtraction; fractions do not need to be reduced; no improper fractions as the final answers).
enominators (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100).
need to be reduced or written as a mixed number).
o not need to be reduced or written as a mixed number).
0, 12, and 100).
plication equations.
n from additive comparison.
bers or have remainders that must be interpreted yielding a final answer that is a whole number. Represent these problems using equations with a symbol o
ach of its factors. Determine whether a given whole number in the interval 1 through 100 is a multiple of a given one- digit number. Determine whether a giv
plicit in the rule itself.
in two-dimensional figures.
absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
long the line into mirroring parts. Identify line-symmetric figures and draw lines of symmetry (up to two lines of symmetry).
t, qt, gal), metric units (cm, m, km; g, kg; mL, L), and time (sec, min, hr, day, wk,mo, yr). Within a single system of measurement, express measurements in
mes, masses of objects; money, including problems involving simple fractions or decimals; and problems that require expressing measurements given in a lar
missing side length). Whole numbers only. The formulas will be provided.
must be labeled with common denominators, such as 1/4, 2/4, 3/4).
asure.
ms. (Angles must be adjacent and non-overlapping.)
ith a symbol or letter standing for the unknown quantity.
whether a given whole number in the interval 1 through 100 is prime or composite.
asurements in a larger unit in terms of a smaller unit. A table of equivalencies will be provided.
s given in a larger unit in terms of a smaller unit