Egg Harbor Township 4th Grade Mathematics Curriculum/Pacing Guide (2012-2013)
(Revised 4-20-12)
Math Pacing Guide 2012-2013 Cover Sheet
1. Continue including math vocabulary words in the lessons, but they are not tested.
2. Use the assessments (tests/quizzes) given to you for each chapter.
3. Extra dates have been built into each trimester outside of the time frame guides for flexibility.
4. Since Chapter 4 has been removed, it is important to start reviewing multiplication and division facts from the
beginning of the year and continue throughout the school year.
5. The pacing guide was constructed to maximize actual number of teaching days. These are guidelines for the
amount of time that each chapter should take.
6. Enrichment Concepts need to be covered.
7. Trimester Math Assessment (TMA)
a. TMA dates have been altered so as to eliminate a conflict with the LAL Benchmark Assessments.
b. TMAs will be administered in two 40 minute periods or one 80 block.
c. TMAs will resemble the former Quarterly Assessments. Questions/skills were manipulated to accommodate
the new trimester dates and common core standards.
d. TMAs questions will include: 15 Multiple Choice, 9 Short Constructed Response, and 9 Extended Constructed
Response.
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Fourth Grade Math
A Year at a Glance
1. September 6:
2. September 7:
Diagnostic Test Grade 4 administered
Groups formed utilizing diagnostic test results/Teacher
Recommendation list
3. September 10:
Ice Breaker Day/Meet the math teacher
4. September 11:
First day of math class
** note change in order of chapters/elimination of chapters
Trimester 1:
Chapters 1, 2, 5, 6
Trimester 1 Review/Test Dates:
November 26 – November 30
(*)
Trimester 2:
Chapters
7, 8, 9/10, 13, 13E (*)
Trimester 3:
Chapters 11, 12, 14
Trimester 2 Review/Test Dates:
March 4 - 8
Trimester 3 Review/Test Dates:
May 28 – May 31
(*)
September 11-December 11
*first day of school
*September 5: 1st Day
December 12 – March 18
March 19 - June 18
*ASK review: 4-29 to 5-3
*ASK testing: 5-6 to 5-10
*Projected Dates
(*) Chapter 3 removed (Lesson 3-4 moves to Chapter 11) (*) Chapter 15 removed completely
(*) Chapter 4 removed (Lesson 4-9 moves to Chapter 6)
(*) Chapter 13E – extended supplemental lessons
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Trimester: 1 X
2
Grade: 4
3
Unit of Study:
Chapter 1: Use Place Value to Represent Whole Numbers
Chapter 2: Solve Addition and Subtraction Problems
Chapter 5: Describe Algebraic Patterns
Chapter 6: Multiply by One-Digit Numbers
TEXTBOOK REFERENCES ARE FROM: Math Connects Macmillan/McGraw-Hill, 2009
Common Core State
Lesson Topic
Objectives/
Standards Addressed
Essential Questions
Students will be able to:
Chapter 1:
4.NBT.1
4.NBT.2
4.NBT.3
Essential Concepts
1-1Place Value Through
Hundred Thousands
Read and write whole numbers to hundred
thousand.
1-2 Place Value Through
Millions
Read & write whole numbers through a
million.
**Estimate Amounts
(*) Suggested Activities and
Assessments
**Begin practicing multiplication
and division facts.
Pages 17-19
Pages 22-25
NJ3
Estimate Amounts
1-4 Compare Whole
Numbers
Pages 28-30
Compare whole numbers.
Round whole numbers through the millions.
Enrichment Concepts
1-2 Explore: How Big is
One Million?
Explore the concept of a million.
1-3 PSS: The Four-Step
Plan
Solve a problem using the 4-step plan.
1-7 PSI: Choose a
Strategy
Choose the best strategy to solve a problem.
Pages 20-21
*Literature: How Much is a
Million? By: David Schwartz
Pages 26-27
Pages 40-41
** introduce the word „algorithm‟
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Chapter 1
should take
about 8 days.
*Pick a Population (S.S.) TE Pg. 14H
Pages 36-39
1-6 Round Whole
Numbers
Time Frame
Start on
Sept. 11th
**Time frames
include days
for midchapter
assessment,
review, and
test.
Manipulatives
*WorkMat 4
*1000 cube
sheet
*Base-Ten
Blocks
*WorkMat 2
Common Core State
Standards Addressed
Lesson Topic
Objectives/
Essential Questions
Students will be able to:
Chapter 2:
4.NBT.1
4.NBT.2
4.NBT.3
4.NBT.4
(*) Suggested Activities and
Assessments
Essential Concepts
2-1 Algebra: Addition
Properties and
Subtraction Rules
Use addition properties & subtraction rules to
add & subtract.
**Continue practicing
multiplication and division facts.
Pages 55-57
*Math on Line: Fact Dash
2-2 Estimate Sums and
Differences
Estimate sums & differences of numbers.
Pages 58-61
2-4 Add Whole
Numbers
Add numbers, including multi-digit numbers.
Pages 64-67
2-5 Subtract Whole
Numbers
Subtract multi-digit numbers.
Pages 72-75
2-7 Subtract Across
Zeros
Subtract multi-digit numbers, when some
digits are zero.
Pages 80-83
Time Frame
Chapter 2
should take
about 9 days.
Manipulatives
Enrichment Concepts
2-3 PSS: Estimate or
Exact Answer
2-4 Extend: Explore
Composing and
Decomposing Numbers
2-5 Explore: Subtract
Whole Numbers
2-6 PSI: Choose a
Strategy
Determine when to estimate or find an exact
answer.
Pages 62-63
Use technology to explore addition.
Page 68
Explore how to subtract whole numbers.
Pages 70-71
Choose the best strategy to solve a problem.
Pages 76-77
*Problem Solving in Science: Pgs
78 - 79
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
*Number
Cubes
*Base-Ten
Blocks
Common Core
State Standards
Addressed
Lesson Topic
Chapter 5:
4.OA.1
4.OA.2
4.OA.3
4.OA.5
Objectives/
Essential Questions
(*) Suggested Activities and
Assessments
Time Frame
Students will be able to:
Essential Concepts
5-1 Addition and Subtraction
Expressions
Write & find the value of expressions.
5-2 Solve Equations
Solve addition & subtraction equations.
5-4 Identify, Describe, and
Extend Patterns
Identify, describe, & extend numeric &
nonnumeric patterns.
Pages 204-206
5-6 Multiplication and
Division Expressions
Write & find the value of multiplication &
division expressions.
Pages 214-216
*Game Time: Expression
Race page 217
5-2 Explore
Explore addition & subtraction equations.
Pages 196-197
5-3 Problem-Solving
Strategy
Identify extra or missing information.
Pages 202-203
Choose the best strategy to solve a problem.
Pages 218-219
Pages 193-195
*Calculate the Cards: pg. 7
in Chapter 5 resource masters
Pages 198-201
Enrichment Concepts
5-7 Problem-Solving
Investigation
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Chapter 5
should take
about 9 days.
Manipulatives
*counters
Common Core State
Standards Addressed
Chapter 6:
4.OA.1
4.OA.2
4.OA.3
4.OA.4
4.NBT.5
Lesson Topic
Objectives/
Essential Questions
(*) Suggested Activities and
Assessments
Essential Concepts
4-9 Factors and
Multiples
Students will be able to:
Find factors & multiples.
** Prime /Composite
Numbers
Determine whether a given whole number in
the range 1-100 is prime or composite
supplement
6-1 Multiples of 10, 100,
and 1000
Multiply multiples of 10, 100, and 1,000
Pages 237- 239
6-3 Use Rounding to
Estimate Products
Estimate products by rounding
Pages 242- 244
6-4 Multiplying TwoDigit Numbers
Multiply a two-digit number by a one-digit
number
Chapter 4 – Pages 176-179
Pages 246- 248
**Product Plus: Pg. 7 in Chapter 6
resource masters
6-6 Multiplying MultiDigit Numbers
Multiply a multi-digit number by a one-digit
number
Pages 252- 255
6-7 Multiply Across
Zeros
Multiply multi-digit numbers with zeros by a
one-digit number
Pages 258- 261
6-2 Problem-Solving
Skill
Decide whether an answer to a problem is
reasonable
Pages 240-241
6-5 Problem- Solving
Investigation
Choose the best strategy to solve a problem
Pages 250- 251
Enrichment Concepts
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Time Frame
Chapter 6
should take
about 12 days.
Manipulatives:
*Base-Ten
Blocks
*Counters
*Money
*Clocks
Trimester 1
Review & Test
11/26 – 11/30
Trimester: 1
2 X
Common Core State
Standards Addressed
Chapter 7:
4.OA.1
4.OA.2
4.OA.3
4.OA.4
4.NBT.5
3
Lesson Topic
Essential Concepts
Grade: 4
Objectives/
Essential Questions
Unit of Study:
Chapter 7: Multiply by Two-Digit Numbers
Chapter 8: Divide by One-Digit Numbers
Chapter 9: Identify and Describe Geometric Figures
Chapter 10: Understanding/Developing Spatial Reasoning
Chapter 13: Identifying Fractions
Chapter 13E: Add, Subtract, and Multiply Fractions
(*) Suggested Activities and
Time Frame
Assessments
Students will be able to:
Chapter 7
should take
about 7 days.
7-1 & 7-2 Multiply by
ten Estimate Products
Multiply a whole number by a multiple of ten
& estimate products by rounding
Pages 273-279
7-4 Multiply Two- Digit
Numbers
Multiply two-digit numbers
Pages 296- 298
Manipulatives
Enrichment Concepts
7-3 Problem- Solving
Strategy
Solve problems by using the “act it out”
strategy
7-4 Explore
Pages 280-281
Pages 282- 283
Explore multiplying by two-digit numbers
7-6 Problem- Solving
Investigation
Pages 294- 295
Choose the best strategy to solve a problem
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
*Base-Ten
Blocks
*Counters
*Money
*Clocks
Common Core State
Standards Addressed
Lesson Topic
Enrichment Concepts
Objectives
Essential Questions
Students will be able to:
(*) Suggested Activities and
Assessments
Chapter 8:
4.OA.1
4.OA.2
4.OA.3
4.OA.4
4.NBT.5
8-1 Division with
Remainders
Carry out division with &without remainders
8-2 Divide Multiples of
10, 100, 1000
Use basic facts and patterns to divide mentally
8-5 Two-Digit Quotients
Solve division problems that result in two-digit
quotients
Pages 326- 329
8-7 Three- Digit
Quotients
Solve division problems that result in threedigit quotients
Pages 332- 334
8-8 Quotients with Zero
Solve division problems that result in quotients
that have zeros
Pages 336- 338
8-9 Divide Greater
Numbers
Divide four-digit dividends by one-digit
number
Pages 342- 345
Pages 313- 315
*Writing: What is the Difference?
TE pg. 308G
Manipulatives
Pages 311-312
*Literature: Divide & Ride By: Stuart
J. Murphy
8-1 Explore
Explore dividing by one-digit numbers
8-3 Problem- Solving
Strategy
Solve problems by using the „guess and check‟
strategy
Pages 320- 321
8-6 Problem-Solving
Investigation
Choose the best strategy to solve a problem
Pages 330- 331
8-7 Extend
Use technology to divide three-digit dividends
Pages 335
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Chapter 8
should take
about 10 days.
Pages 316- 319
4.NBT.6
Enrichment
Concepts
Time Frame
*Base-Ten
Blocks
*Counters
Common Core State
Standards Addressed
Lesson Topic
Objectives/
Essential Questions
(*) Suggested Activities and
Assessments
Essential Concepts:
Students will be able to:
9-2 Two-Dimensional
Figures
Identify, describe, & classify 2-dimenional
figure
Pages 362-365
9-4 Angles
Identify, describe, & classify angles
Pages 368-370
** measure and create
angles using protractor
Measure and create angles using protractors
** supplemental
9-5 Triangles
Identify, describe, & classify triangles
Pages 372-375
9-6 Quadrilaterals
Identify, describe, and classify quadrilaterals
Pages 376-378
**find unknown angles
Solve addition and subtraction problems to
find unknown angles on a diagram in real
world and mathematical problems
** supplemental
Chapter 9:
4.MD.5
4.MD.6
4.MD.7
4.G.2
Enrichment Concepts:
9-3 PSS: Look for a
Pattern
Solve problems by looking for a pattern
9-7 PSI: Choose a
Strategy
Choose the best strategy to solve a problem
Pages 366-367
Pages 380-381
*ELL Guide Book:
Use a Diagram – Make a Mobile
Pg. 181
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Time Frame
Chapter 9 & 10
will be
combined into
one chapter test.
Chapter 9 & 10
should take
about 13 days.
Manipulatives
*Geometric
Solids
*Pattern Blocks
*3-Dimensional
Templates
*Protractor
Compass
Common Core State
Standards Addressed
Lesson Topic
Objectives/
Essential Questions
(*) Suggested Activities and
Assessments
Essential Concepts:
Students will be able to:
10-1 Locate Points on a
Number Line
Locate points on a number line.
Pages 395-397
10-2 Lines, Line Segments,
and Rays
Identify, describe, & classify lines, line segments,
& rays.
Pages 400-403
*DI: Small Group Options
Option 2 – making roads
10-2 Explore Parallel &
Intersecting Lines
Identify & describe parallel & intersecting lines.
Pages 398-399
10-8 Symmetry
Identify figures with symmetry & use reflections to
check.
Pages 422-425
10-3 PSI: Make an
Organized List
Make an organized list to solve problems.
Pages 404-405
10-6 PSI: Choose a
Strategy
Choose the best strategy to solve a problem.
Pages 416-417
Chapter 10:
4.G.1
4.G.3
Enrichment Concepts:
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Time Frame
Combined with
Chapter 9.
Manipulatives
*Pattern Blocks
Common Core State
Standards Addressed
Chapter 13:
4.NF.1
4.NF.2
4.NF.5
Lesson Topic
Objectives/
Essential Questions
(*) Suggested Activities and
Assessments
Essential Concepts:
Students will be able to:
13-1/13-2 Parts of a
Whole/Parts of a Set
Identify, write & read fractions for parts of a
whole & parts of a set.
Pages 537-543
13-4 Equivalent
Fractions
 Simplest Form
 Fractional Parts
Identify equivalent fractions, simplest form.
Pages 548-551 & NJ 1
13-5 Compare Fractions
compare simple fractions. (NOT –
ORDERING)
Pages 554-557
13-6 Mixed Numbers
Write mixed numbers & improper fractions.
Pages 560-563
Chapter 13
should take
about 8 days.
*Create equivalent fractions using
the fraction bars from kit or Game
Time Activity Pg. 552
Enrichment Concepts:
13-3 PSS: Draw a
Picture
Solve problems by drawing a picture.
13-4 Explore:
Equivalent Fractions
Identify equivalent fractions.
13-7 PSI: Choose a
Strategy
Time Frame
Pages 544-545
*Fractional Parts Pg. 19 in your
ELL Guide Book
Pages 546-547
Pages 564-565
Choose the best strategy to solve a problem.
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Manipulatives
*Fraction
Models
*Counters
*Number Line
Common Core State
Standards Addressed
Lesson Topic
Essential Concepts:
Objectives/
Essential Questions
** supplemental from Grade 5
Book – materials will be
supplied
** add fractions with
like denominators
Time Frame
Students will be able to:
Chapter 13 Extend:
4.NF.1
4.NF.2
4.NF.3
4.NF.4
4.NF.5
(*) Suggested Activities and
Assessments
Solve problems by adding fractions with
like denominators
Chapter 13
Extend should
take about 10
days.
** Lesson 13E-1
** Lesson 13E-2
** subtract fractions
Solve problems by subtracting fractions
with like denominators with like denominators
** add mixed numbers Solve problems by adding mixed numbers
with like denominators with like denominators
** Lesson 13E-3
** subtract mixed
numbers with like
denominators
Solve problems by subtracting mixed
numbers with like denominators
** Lesson 13E-4
** decomposing
fractions
Decompose a fraction into a sum of
fractions with the same denominator in
more than one way.
EX:


** multiply fractions
** supplemental
3/8 = 1/8 + 1/8 + 1/8 and
3/8 = 1/8 + 2/8
2 1/8 = 1 + 1 + 1/8 and
2 1/8 = 8/8 + 8/8 + 1/8
Solve problems by multiplying fractions
EX: 3 x 1/5
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Manipulatives
*Fraction
Models
*Counters
*Number Line
Trimester 2
Review & Test
3/4 – 3/8
** supplemental
Trimester: 1
2
3 X
Grade: 4
ASK Review = 4/29 – 5/3
ASK TEST = 5/6 – 5/10
Common Core State
Standards Addressed
Chapter 11:
4.MD.1
4.MD.2
4.MD.3
4.MD.4
Lesson Topic
Unit of Study:
Chapter 11: Measure Length, Area, and Perimeter
Chapter 12: Measure Capacity and Weight
Chapter 14: Use Decimals to Represent Place Value
Objectives/
Essential Questions
(*) Suggested Activities and
Assessments
Essential Concepts:
Students will be able to:
11-1 Customary Units of
Length
Measure customary lengths to nearest inch, ½ inch,
¼ inch, & 1/8 inch.
Pages 441-443; 439-440; add 1/8 inch
3-4 Line Plots
Make a line plot to display a data set of
measurements in fractions of a unit that has ½, ¼,
and 1/8
Chapter 3 – pages 104-107
11-2 Convert Customary
Units of Length
Convert customary units of length
Pages 444-445
11-4 Metric Units of
Length
Measure lengths within the metric system.
Pages 450-452
11-5 Measure Perimeters
Find the perimeter of rectangles & squares.
Pages 456-459
11-6 Measure Areas
Find the area of rectangles & squares.
Pages 460-462
11-6 Extend: Perimeters &
Areas
Explore area & perimeter.
Pages 464-465
Solve problems by solving a simpler problem.
Pages 446-447
Choose the best strategy to solve a problem.
Pages 466-467
Enrichment Concepts:
11-3 PSS: Solve a Simpler
Problem
11-7 PSI: Choose a
Strategy
*Make a list of items for students to
measure. (inside & outside) Use rulers
& yard sticks
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Time Frame
Chapter 11 should
take about 11
days.
Manipulatives
*Rulers
*Meter stick
*Yard Stick
*Geoboards
*Base-Ten Blocks
*Grid Paper
*Conversion
Chart
Common Core State
Standards Addressed
Lesson Topic
Essential Concepts:
Chapter 12:
4.MD.1
4.MD.2
4.MD.3
4.MD.4
Objectives/
Essential Questions
Students will be able to:
(*) Suggested Activities and
Assessments
12-1 Customary Units of
Capacity
Measure customary capacities.
12-2 Convert Customary
Units of Capacity
Convert customary units of capacity.
12-3 Metric Units of
Capacity
Measure metric capacities.
Pages 492-495
12-4 Customary Units of
Weight
Measure customary units of weight.
Pages 498-500
12-6 Convert Customary
Units of Weight
Convert customary units of weight.
Pages 504-507
Measure mass & learn the difference between
weight & mass.
Pages 508-510
Solve problems about elapsed time (intervals
of time).
Pages 520-523
12-4 Explore: Measure
Weight
Measure weight.
Pages 496-497
12-5 PSS: Use Logical
Reasoning
Solve problems using logical reasoning.
Pages 502-503
12-9 PSI: Choosing the
Best Strategy
Choose the best strategy to solve a problem.
Pages 518-519
12-7 Metric Units of
Mass
12-10 Elapsed Time
Pages 486-489, 485
*Literature: Pigs in the Pantry
By: Amy Axelrod
Pages 490-491
Time Frame
Chapter 12
should take
about 11 days.
Manipulatives
Enrichment Concepts:
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
*Measuring
Cups / Capacity
Containers (not
in kit)
*Bucket Balance
*Ounce &
Pound Weights
*Gram & Kg.
weights
*Clocks
*Conversion
Chart
Common Core State
Standards Addressed
Lesson Topic
Objectives/
Essential Questions
Suggested Activities and
Assessments
Time Frame
Students will be able to:
Essential Concepts:
Chapter 14:
4.NF.1
4.NF.2
4.NF.5
4.NF.6
4.NF.7
14-1 Explore & Lesson:
Fractions & Decimals:
Tenths & Hundredths
Identify, read, & write tenths and hundredths
as decimals and fractions.
Pages 577-581
14-2 Relate Mixed
Numbers & Decimals
Identify, read, & write decimals greater than 1.
Pages 582-585
14-4 Locate Fractions &
Decimals on a Number
Line
Locate fractions and decimals on a number line
Pages 588-589
14-5 Compare Decimals
Compare decimals (NOT ORDERING).
Pages 590-592
*Olympic Race (SS) TE Pg. 574E
Pages 596-599
14-7 Fraction & Decimal Find fraction & decimal equivalents.
Equivalents
Enrichment Concepts:
14-3 PSS: Make a
Model
14-6 PSI: Choose a
Strategy
Solve problems by making a model.
Pages 586-587
Choose the best strategy to solve a problem.
Pages 594-595
*Literature: Sir Cumference and the
First Round Table
By: Cindy Neuschwander
4th Grade Math Pacing Guide (Revised April 2012) for School Year 2012-2013
Chapter 14
should take
about 9 days.
Manipulatives
*WorkMat 6
*Dimes/Pennies
*Number Line
Trimester 3
Review &
Test
5/28 – 5/31