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Math Essentials for Fourth Grade
Algebra
Standard
4.A.2.2 Students are able to
simplify a two-step equation
using whole numbers.
Essential Skills


Order of operations
Compare expressions
Quarter 2
Important to Know and
Do
Worth Being Familiar
With
Math Essentials for Fourth Grade
Quarter 2
Resources
Houghton Mifflin
Expressions
Algebra 2.2
 1.13, page 102: Order of
operations
 1.14, page 110: Compare
expressions
 2.10 page 306: Compare
expressions
Assessment
Value Added/
21 Century Skills
VA:
 Nonlinguistic representations
21st:
 Analytical Thinking: 1
The following is a list of the
assessments that can be used to
evaluate proficiency. Please
choose a variety of assessments
to use with each standard.
 Houghton Mifflin (HM)
 Prior Knowledge
 Ongoing Assessment
(including Student Self
Assessment:
 and
 Informal Assessment by
Teachers:
 Diagnostic/
 Intervention
 Formal Evaluation






Expressions (EX):
Ongoing assessments
Quick practice
Math Talk
Differentiated Instruction
Practice Sheets
Cumulative Reviews
Math Essentials for Fourth Grade
Number Sense
Standard
Quarter 2
Important to Know and
Do
Essential Skills
4.N. 1.3 Students are
able to use a number
line to compare
numerical value of
fractions or mixed
numbers (fourths,
halves and thirds.)
 Represent fractions
 Understand fractions
 Explore equivalent fractions
 Mixed numbers and improper
fractions
 Compare fractions
 Equivalent fractions and
simplest form
 Compare and order fractions
4.N.2.1 Students are
able to find the
products of two-digit
factors and quotient
of two natural
numbers using a onedigit divisor.
 Complete division problems with
remainders
 Model multiplication by onedigit numbers
 Multiply two-digit numbers by
one-digit numbers
 Multiply three-digit numbers by
one-digit numbers
 Multiply greater numbers
 Model multiplication
 Multiply 2 two-digit numbers
 Model division
 Divide with remainders
 Interpret remainders
 Regroup in division
 Dividing with three-digit
quotients
 Place the first digit of the
quotient
 Dividing with zeros in the
quotient

Estimate to check quotients
Worth Being Familiar
With
 Add and subtract
fractions
 Multiply greater
numbers
 Divide greater numbers
Math Essentials for Fourth Grade
Quarter 2
Resources
Number Sense .2.1
Number Sense .1.3
Houghton Mifflin
 19.1, pages 490a-491: Represent fractions
 19.2, pages 492a-493: Explore equivalent
fractions
 19.7, pages 508b-511: Mixed numbers and
improper fractions
 19.3, pages 494a-497: Equivalent fractions and
simplest form
 19.4, pages 498a-501: Compare and order
fractions

Chapter 20: Add and subtract fractions
 4.8, pages 102a-103: Division with remainders
 6.3, pages 150a-151: Model multiplication by onedigit numbers
 6.4, pages 152a-155: Multiply two-digit numbers
by one-digit numbers
 6.6, pages 160a-163: Multiply three-digit
numbers by one-digit numbers
 6.7, pages 164a-167: Multiply greater numbers
 7.3, pages 176a-177: Model multiplication
 7.4, pages 178a-181: Multiply 2 two-digit numbers
 8.1, pages 206a-207: Model division
 8.2, pages 208a-209: Divide with remainders
 8.3, pages 210a-213: Problem Solving –
Interpreting remainders
 8.4, pages 214a-217: Regroup in division
 9.1, pages 228a-229: Three-digit quotients
 9.2, pages 230a-233: Place the first digit of the
quotient
 9.4, pages 238a-239: Zeros in the quotient
 4.6, pages 98a-99: Multiply and divide with 11 and
12
 7.6, pages 184a-185: Multiply three-digit
numbers by two-digit numbers
 7.7, pages 186-189: Multiply greater numbers
 8.5, pages 218a-219: Divide multiples of 10, 100,
and 1000
 9.6, pages 244a-247 Divide greater numbers
Expressions
 5.1, pages 713-722: Understand
fractions
 5.3, pages 729-737: Compare
fractions
 5.4, pages 739-744: Fractions of
different-size wholes
 5.6, pages 751-760: Mixed numbers
and improper fractions
 5.5, pages 745-750: Add and
subtract fractions with like
denominators
 5.10, pages 783-792: Add fractions
with unlike denominators
 3.1, pages 439-446: Multiplication
arrays
 3.2, pages 447-452: Mental math
and multiplication with tens
 3.3, pages 453-460: Model one-digit
by two-digit multiplication
 3.5, pages 469-474: Methods of
one-digit by two-digit multiplication
 3.6, pages 475-482: Discuss
different methods
 3.7, pages 483-490: One-digit by
three-digit multiplication
 3.8, pages 491-502: Practice onedigit by three-digit multiplication
 3.11, pages 515-520: Two-digit by
two-digit multiplication
 3.12, pages 521-530: Different
methods for two-digit multiplication
 3.13, pages 531-538: Check products
of two-digit numbers
 3.14, pages 539-546: Practice
multiplication
 4.1, pages 603-614: Discover long
division
 4.3, pages 625: Divide by numbers
other than 5
 4.4, pages 633-638: Find just-under
quotient digits
 4.6, pages 647-656: Make sense of
remainders
 4.7, pages 657-662: Problem solving
(one-step and multi-step word
problems)
 4.5, pages 639-646: Estimate to
check quotients
Assessment
Value Added/
21st Century Skills
VA:
 Nonlinguistic
representations
 Cooperative learning
 Homework and practice
 Identifying similarities and
differences
21st:
 Analytical Thinking: 1, 4
 Collaborating: 1, 2, 5
 Communicating: 2, 5
 Finding and evaluating
information: 1, 2, 3, 4
VA:
 Nonlinguistic
representations
 Cooperative learning
 Homework and practice
 Questions, cues, and
advance organizers
21st:
 Problem Solving: 1, 2, 5, 6
 Analytical Thinking: 1,2, 4
 Collaborating: 1, 4, 5, 6
 Communicating: 1, 2, 4, 5
 Finding and evaluating
information: 1, 2, 3, 4
The following is a
list of the
assessments that
can be used to
evaluate
proficiency. Please
choose a variety of
assessments to use
with each standard.
Houghton Mifflin
(HM)
 Prior Knowledge
 Ongoing
Assessment
(including Student
Self Assessment:
 and
 Informal
Assessment by
Teachers:
 Diagnostic/
 Intervention
Formal Evaluation
Expressions (EX):
Ongoing
assessments
 Quick practice
 Math Talk
 Differentiated
Instruction
 Practice Sheets
 Cumulative
Reviews

Math Essentials for Fourth Grade
Standard
4.S.1.1 Students are
able to interpret data
from graphical
representations and
draw conclusions.
Important to Know and
Do
Essential Skills









Using line plots
Stem and leaf plots
Double bar graphs
Circle graphs
Interpret a line graph
Read and make line graphs
Analyze graphs
Bar graphs
Explore circle graphs
Statistics and Probability
(All repeated Q4)
4.S.1.2 Given a small
ordered data set of
whole number data
points (odd number of
points), students are
able to identify the
mean (District),
median, mode, and
range.
 Model mean
 Find the mean
 Collect and organize data
 Using mean, median, mode, and
range
4.S.2.1 Students are
able to determine the
probability of simple
events limited to
equally likely and not
equally likely
outcomes.




Probability
Probability as a fraction
Making predictions
Finding probability
Quarter 2

Probability as a fraction
Worth Being Familiar
With
Math Essentials for Fourth Grade
Quarter 2
Resources
Assessment
Statistics and Probability .2.1
Statistics and
Probability .1.2
Statistics and Probability
.1.1
Houghton Mifflin
 14.4, pages 366a-367:
Line plot
 14.5, pages 370a-371:
Stem and leaf plots
 15.1, pages 376a-377:
Double bar graphs
 15.2, pages 378a-379:
Circle graphs
 15.3, pages 380a-381:
Interpret a line graph
 15.4, pages 382a-383:
Read and make line graphs
 15.5, pages 384a-387:
Analyze graphs
 10.4, pages 262a-263:
Model mean
 10.5, pages 264a-267:
Find the mean
 14.1, pages 356-359:
Collect and organize data
 14.3, pages 364a-365:
Mean, median, mode, and
range

 23.1, pages 596a-597:
Probability
 23.2, pages 598a-601:
Probability as a fraction
 23.3, pages 602a-603:
Make predictions
 23.5, pages 608a-611:
Find probability
Expressions
Value Added
 1.20, pages 145-152, Bar
graphs
 Mini Unit D.3, pages 689-694:
Explore circle graphs
 Mini Unit D5, pages 703-708:
Graphing day
VA:

Summarizing and note taking

Identifying similarities &
differences

Homework & practice

Nonlinguistic representations

Cooperative learning

Setting objectives and
providing feedback

Questions, cues, advanced
organizers
21st:

Problem Solving: 1, 2, 4, 5

Analytical Thinking: 1, 2, 3, 4

Collaborating: 1, 2, 3, 4, 5, 6
 page 150, Mode, median, and
range
 page 304, Compare numbers
within a range
 4.8, pages 663-670: Averages
VA:

Identifying similarities &
differences

Reinforcing effort

Homework & practice

Cooperative learning
21st:

Problem Solving: 3, 5, 6

Analytical Thinking: 1, 3, 4

Communicating: 1, 5

Finding and Evaluating
Information: 2
 pages 801-806, Discover
Probability
 pages 807-810, Probability Day
VA:

Identifying similarities &
differences

Summarizing and note taking

Reinforcing effort and
providing recognition

Homework & practice

Nonlinguistic representations

Cooperative learning

Setting objectives and
providing feedback

Setting objectives and
providing feedback

Questions, cues, advanced
organizers
21st:

Problem Solving: 1, 2, 3, 4, 5, 6,
7

Analytical Thinking: 1, 2, 3, 4

Collaborating: 1, 2, 4, 5, 6

Communicating: 1, 2, 3, 4, 5

Finding and Evaluating
Information: 1, 2, 3, 4
The following is a list of the
assessments that can be used
to evaluate proficiency. Please
choose a variety of assessments
to use with each standard.
Houghton Mifflin (HM)
 Prior Knowledge
 Ongoing Assessment
(including Student Self
Assessment:
 and
 Informal Assessment by
Teachers:
 Diagnostic/
 Intervention
Formal Evaluation






Expressions (EX):
Ongoing assessments
Quick practice
Math Talk
Differentiated Instruction
Practice Sheets
Cumulative Reviews