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Math

MATHEMATICS CURRICULUM GUIDE
GRADE 3

Objectives

Core Curr.
Content
Standards

Instructional
Activities

Assessment
(Cross-curricular)
(Multi-cultural)

Resources

GEPA
HSPA
Terra Nova

UNIT 1

The student will be able to :

Understand the operations of addition and subtraction.





4.4
4.8

Addition & Subtraction Facts



Unit 1, Lesson 1 - Problem Solving -
Understanding Addition & Subtraction,
TM pp. 4-5
Pre-book Activities - Explore and
Connect, TM p. 4a




Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review


Addison Wesley Mathematics
, Copyright 1993

 

Use mental math techniques of counting up and counting back to find sums and differences.

4.4
4.8
Unit 1, Lesson 2 - Mental Math
Counting On & Counting Back, TM pp.
6-7
Connections - Life Skills, TM p. 6a
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Counters, blank playing cards
 
Use "doubles" and "doubles plus 1", "make 10" and "add extra" to find sums.

4.1
4.4
Unit 2, Lessons 3 & 4 - Finding Sums -
Using Strategies, TM pp. 8-11
  Cooperative learning pairs &/or groups
 
Use critical thinking skills to play the game of Nim.

4.1
4.4
Unit 2, Lesson 5 - Using Critical
Thinking, TM pp. 12-13
Pre-book Activities - Explore & Connect,
TM p. 12a
  Counters   
Use the strategies "count up" and "subtract from 10", "add extra" to find differences.  4.1
4.4
4.8
Unit 1, Lesson 6 - Finding Differences -
Using Strategies, TM pp. 14-15
Special Education:
- Peer tutoring, manipulatives, priority seating,
number line, calculators.
     

UNIT 1

The student will be able to :

Use related addition facts to find differences.





4.8

Addition & Subtraction Facts



Unit 1, Lesson 7 - Finding Differences -
Using Addition, TM pp. 16-17





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations



Addison Wesley Mathematics
, Copyright 1993
Unifix cubes

 

Use fact families to find differences.
4.8
Unit 1, Lesson 8 - Fact Families, TM pp.
18-19
Teacher Observations
Cumulative Review
Wrap-up
Number cubes or spinners
 
Find sums of three addends.
4.8
Unit 1, Lesson 9 - Sums With Three
Addends, TM pp. 20-21
Connections - Subject Integration, TM p.
20a
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Cubes
 
Use the 6-point problem solving check list to solve problems.
4.4
Unit 1, Lesson 10 - Problem Solving -
Introduction, TM pp. 22-23
Pre-book Activities - Explore & Connect,
TM p. 22a
  Counters
 
UNIT 2

Read and write numbers up to and including the hundred thousands place.


4.6
Place Value

Unit 2, Lessons 1, 10, 11 - Reading &
Writing 2, 3, 4, 5, 6-Digit Numbers, TM
pp. 32-33, 51-52, 53-54
     
Find the numbers that come before, after or between numbers up through three digits. 4.6 Unit 2, Lesson 2 - Counting Order, TM
pp. 34-35
Pre-book Activities - Explore & Connect
TM p. 34a
  Place value charts, graph paper, index cards  

UNIT 2

The student will be able to :

Skip count by twos, fives and tens.





4.6

Place Value



Unit 2, Lesson 3 - Skip Counting
Patterns, TM pp. 36-37





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations


Addison Wesley Mathematics
, Copyright 1993

 

Solve problems using the strategy "draw a picture."
4.2
4.4
Unit 2, Lesson 4 - Problem Solving -
Draw a Picture, TM pp. 38-39
Teaching Options - Enrichment, TM p.
38
Cumulative Review
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Drawing paper
 
Compare and order three digit numbers.
4.6
Unit 2, Lesson 5 - Comparing &
Ordering Numbers, TM pp. 40-41
Pre-book Activities - Explore & Connect,
TM p. 40a
     
Use ordinal numbers 1st through 99th to describe positions of ordered items.
4.6
Unit 2, Lesson 6 - Ordinal Numbers, TM
p.42
Teaching Options - Enrichment, TM p.
42
     
Round two & three digit numbers to nearest ten, hundred and dollar.
4.6
Unit 2, Lessons 7 & 8 - Rounding to the
Nearest Ten, Hundred & Dollar, TM pp.
44-45 & 46-47
  Number lines, counters
 
Understand the question in a problem. 4.6 Unit 2, Lesson 9 - Problem Solving - Understanding the Question, TM pp. 48-
49
Special Education:
- Peer tutor, priority seating, computer
adaptation, manipulatives, scribe, break down task & talk through steps, problem solving checklist.
  Cooperative learning groups &/or pairs  

UNIT 3

The student will be able to :

Tell time to the minute & five minutes & to use a.m. & p.m.





4.9

Time & Money



Unit 3, Lesson 1 - Telling Time, TM pp.
62-63, Lesson 2 - Telling Time to the
Minute, TM pp. 64-65
Pre-book Activities - Explore & Connect,
TM p. 64a





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review
Wrap-up


Addison Wesley Mathematics
, Copyright 1993

 

Calculate ending time given elapsed time.
4.5
4.9
Unit 3, Lesson 3 - Mental Math - Time,
TM pp. 66-67
Connections - Subject Integration, TM
p. 66a
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Student made or commercially available clock faces, cooperative learning pairs
 
Read a calendar.
4.12
Unit 3, Lesson 4 - Reading a Calendar,
TM pp. 68-69
Teaching Options - Enrichment, TM p.
68
  Commercial or school calendars  
Solve problems with extra date. 4.12 Unit 3, Lesson 5 - Problem Solving -
Extra Data, TM pp. 70-71
Connections - Subject Integration, TM p.
70a

Special Education:
- Manipulatives, peer tutor, real money, real
clock, computer program to reinforce repetition.
     

UNIT 3

The student will be able to :

Count amounts of money & money for change.





4.6

Time & Money



Unit 3, Lesson 6 - Making A Purchase,
TM pp. 72-73, Lesson 8 - Counting
Change, TM pp. 76-77
Pre-book Activities - Explore & Connect,
TM p. P. 72a





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review
Wrap-up


Addison Wesley Mathematics
, Copyright 1993
Play coins & money

 

Use the visual estimation technique to compare an amount of money to a reference point.
4.6
4.10
Unit 3, Lesson 7 - Estimating Amounts
of Money, TM pp. 74-75
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Play coins & money
 
Solve problems using the strategy "make an organized list."
4.12
Unit 3, Lesson 9 - Problem Solving -
Make an Organized List, TM pp. 78-79
Applied Problem Solving - Group
Decision Making, TM pp. 80-81
Special Education:
- Manipulatives, peer tutor, real money, real
clock, computer program to reinforce repetition.
  Cooperative learning pairs
 
UNIT IV
Use mental math to find sums of 10 and 100.
4.8
Addition
Unit 4, Lesson 1 - Mental Math - Special
Sums, TM pp. 88-89
     
Use rounding to estimate sums. 4.10 Unit 4, Lesson 2 - Estimating Sums
Using Rounding, TM pp. 90-91
Pre-book Activities - Explore & Connect
TM p. 90a
  Place value charts, number cubes and counters  

UNIT 4

The student will be able to :

Find the number of tens and ones in a number.





4.6

Addition



Unit 4, Lesson 3 - Trading 10 Ones for 1
Ten, TM pp. 92-93




Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations


Addison Wesley Mathematics
, Copyright 1993
Cooperative learning pairs

 

Use objects to develop an understanding of trading when adding numbers.
4.8
Unit 4, Lesson 4 - Adding 2-Digit
Numbers - Making the Connection, TM
p. 94-95
Connections - Life Skills, TM p. 94a

Special Education
:
- Peer tutor, repetition check list, real application, money step up program, calculator.
Teacher Observations
Cumulative Review
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Place value blocks &/or cubes
 
Add two, three and four digit numbers with one & more than one trading.
4.8
Unit 4, Lessons 5, 7, 8, 11 - Adding 2, 4,
& 4-Digit Numbers With & Without
Trading, TM pp. 96-97, 100-101, 102-
102, 108-109
     
Solve problems using the "Guess & Check" strategy and data from a catalog.
4.5
4.12
Unit 4, Lesson 6 - Problem Solving -
Guess & Check, TM pp. 98-99, Lesson
13 - Problem Solving - Using Data
From a Catalog, TM pp. 112-113
  Cooperative learning pairs, calculators and catalogs
 
Use mental lath to break apart to find sums.  4.8 Unit 4, Lesson 9 - Mental Math -
Breaking Apart Numbers, TM pp. 104-
105
Connections - Creative Thinking, TM p.
104a
  Place value blocks &/or cubes  

UNIT 4

The student will be able to :

Add money & numbers in columns.





4.6
4.8

Addition



Unit 4, Lesson 10 - Column Addition,
TM pp. 106-107
Pre-book Activities - Explore & Connect,
TM p. 106a




Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review


Addison Wesley Mathematics
, Copyright
1993

 

UNIT 5

Subtract with multiples of ten.
4.8
Subtraction
Unit 5, Lesson 1 - Mental Math - Special
Differences, TM pp. 122-123
Connections - Creative Thinking, TM p.
122a
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
   
Use rounding to estimate differences.
4.10
Unit 5, Lesson 2 - Estimating
Differences Using Rounding, TM pp.
124-125
Teacher created activity - using an atlas
with a map of the U.S., have students
estimate mileage between major cities
using a ruler.
  Ruler, atlas &/or map, cooperative learning pairs &/or groups.  
Use objects to develop an understanding of trading 1 ten for 10 ones and subtracting two digit numbers.  4.6 Unit 4, Lesson 3 - Trading 1 Ten for 10
Ones, TM pp. 126-127, Lesson 4 -
Subtracting 2-Digit Numbers - Making
the Connection, TM pp. 128-129

Special Education
:
- Peer tutor, manipulatives, number line, checklist, calculator with big numbers, priority seating.
     

UNIT 5

The student will be able to :

Subtract 2, 3, & 4-digit numbers with and without trading.





4.8

Subtraction



Unit 5, Lessons 5, 7, 8, 12 - Subtracting
2, 3, & 4-Digit Numbers With and
Without Trading, TM pp. 130-131, 134-
135, 136-137, 144-145




Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Place value chart

 

Solve multi-step problems using the strategy "Make a Table."
4.5
4.12
Unit 5, Lesson 6 - Problem Solving -
Make a Table, TM pp. 132-133
Connections - Problem of the Day, TM
p. 132a.
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Calculators, cooperative learning pairs
 
Use critical thinking to check subtraction by adding.
4.8
Unit 5, Lesson 9 - Using Critical
Thinking, TM pp. 138-139
     
Subtract across a middle zero.
4.8
Unit 5, Lesson 10 - Subtracting Across a Middle Zero, TM pp. 140-141
  Place value chart
 
Subtract with amounts of money 4.6  Unit 5, Lesson 11 - Estimating Differences With Money, TM pp. 142-
143
Connections - Patterns, TM p. 142a
Special Education:
- Peer tutor, manipulatives, number line,
checklist, calculator with big numbers, priority seating.
  Play money & catalogs.  

UNIT 5

The student will be able to:

Choose an appropriate method of calculation.





4.5
4.12

Subtraction



Unit 5, Lesson 13 - Problem Solving -
Choosing a Calculation Method, TM pp.
146-147
Enrichment - Using a Calculator, TM p.
154

Special Education
:
- Peer tutor, calculator with big numbers, number line, step up program, computer simulation.





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess



Addison Wesley Mathematics
, Copyright 1993
Calculators

 

UNIT 6

Read & prepare bar & picture graphs.


4.12
Data, Graphs & Probability

Unit 6, Lessons 1, 3, 4 - Reading & Making Bar & Picture Graphs, TM pp.
158-159, 162-163, 164-165.
Students can construct their own graphs
on famous Americans by taking a school
wide survey.
  Graph paper
 
Organize data in a tally chart.
4.12
Unit 6, Lesson 2 - Collecting &
Organizing Data, TM pp. 160-161
  Chart paper
 
Explore algebra by substituting numbers for letters.  4.13 Unit 6, Lesson 5 - Exploring Algebra,
TM pp. 166-167
Special Education:
- Peer tutor, rulers, enlarged graph paper.
  Cooperative learning pairs  

UNIT 6

The student will be able to :

Solve problems using the strategy "Look For a Pattern" and using a calculator.





4.5
4.11

Data, Graphs & Probability



Unit 6, Lesson 6 - Problem Solving -
Look For a Pattern, TM pp. 168-169.
Lesson 10 - Using a Calculator, TM pp.
176-177.




Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Calculators

 

Draw conclusions from data.
4.11
Unit 6, Lesson 7 - Analyzing Data, TM
pp. 170-171
Teaching Options - Family Math, TM p.
170
Pre-book Activities - Explore & Connect,
TM p. 170a.
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Chart paper, cooperative learning pairs &/or groups
 
Choose fair & unfair games based on probability.
4.12
Unit 6, Lesson 8 - Probability - Fair &
Unfair Games, TM pp. 172-173
Teaching Options - Enrichment, TM p.
172 (bottom)
  Spinners, number cubes
 
Use critical thinking to make predictions in line graphs. 4.11 Unit 6, Lesson 9 - Use Critical Thinking
- Making Predictions From Line Graphs,
TM pp. 174-175
Pre-book Activities - Explore & Connect,
TM p. 174a

Special Education:
- Peer tutor, concrete examples, enlarge &
isolate charts.
  Graph paper, chart paper, local newspaper   

UNIT 7

The student will be able to :

Estimate & measure length in inches.





4.9
4.10

Customary Measurement



Unit 7, Lesson 1 - Measuring Length in
Inches, TM pp. 186-18, Lesson 2 -
Estimating Length - Using a
Benchmark, TM pp. 188-189
Pre-book Activities - Explore & Connect,
TM p. 188a





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review
Wrap-up
Power Practice Quizzes/Tests

Addison Wesley Mathematics, Copyright 1993

 

Estimate, measure & compare lengths in feet & yards.
4.9
4.10
Unit 7, Lesson 3 - Foot, Yard & Mile,
TM pp. 190-191
Pre-book Activities - Explore & Connect, TM p. 190a
Chapter Tests
Close & Assess
Ruler, tape measure, yardstick, small cooperative learning groups
 
Measure perimeter using addition.
4.9
Unit 7, Lesson 4 - Perimeter, TM pp.
192-193
Have students measure various objects in their classrooms & find the perimeter of each of the objects.
     
Solve problems using the strategy "Use Logical Reasoning" and data from charts.
4.4
4.12
Unit 7, Lesson 5 - Problem Solving - Use
Logical Reasoning, TM pp. 194-195,
Lesson 9 - Problem Solving - Using
Data From a Chart, TM pp. 202-203
  Small cooperative learning groups  
Decide whether an actual measurement is needed or an estimate is sufficient. 4.9 Unit 7. Lesson 6 - Problem Solving -
Deciding When to Estimate, TM pp.
196-197
Special Education:
- Peer tutor, concrete examples, enlarge & isolate charts.
     

UNIT 7

The student will be able to :

Estimate measure & compare weights in pounds & ounces.





4.9
4.10

Customary Measurement



Unit 7, Lesson 7 - Weight, TM pp. 198-
199
Connections - Math Connections, TM p.
198a





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Balance scale & weights, various objects that weigh about a pound.

 

Measure & estimate capacity with cups, pints, quarts & gallons.
4.9
Unit 7, Lesson 8 - Capacity, TM pp.
200-201
Connections - Life Skills, TM p. 200a
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Various shapes of containers ranging from 1 cup to 1 gallon.

Fahrenheit thermometers
 
Measure temperature in degrees Fahrenheit.
4.9
Unit 7, Lesson 9 - Temperature, TM p.
201
Connections - Problem of the Day, TM p.
200a
Teacher activity - have students measure various places outdoors & compare the temperatures.
Special Education:
- Velcro board, buddy system, break down
activities, checklist, manipulatives, computer
reinforcement, peer tutor.
     
UNIT 8

Understand the operation of multiplication & addition & their relationships.


4.8
Multiplication Facts & Concepts

Unit 8, Lesson 1 - Problem Solving - Understanding Multiplication, TM pp.
212-213, Lesson 2 - More About Multiplication, TM pp. 214-125
     

UNIT 8

The student will be able to :

Find products when 0, 1, 2, 5, & 9 are factors.





4.8

Multiplication Facts & Concepts



Unit 8, Lessons 3, 4, 5, & 8 - Using 0, 1,
2, 5 & 9 as Factors, TM pp. 216-217,
218-219, 220-221, 226-227

Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Counters, multiplication tables

 

Use critical thinking to use number patterns.
4.4
4.8
Unit 8, Lesson 6 - Using Critical
Thinking, TM pp. 222-223
Connections - Problem of the Day, TM
p. 222a
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
   
Solve problems using the strategy "work backward."
4.4
Unit 8, Lesson 7 - Problem Solving -
Work Backward, TM pp. 224-225
     
Practice multiplication facts.
4.8
Unit 8, Lesson 9 - Mastering the Facts,
TM pp. 228-229
Teacher activity - have students review the facts by playing the game "multiplication quizmo."
Multiplication quizmo
Unit 9

Find products when, 3, 4, & 6 are factors & practice these facts.
4.8 More Multiplication Facts
Unit 9, Lessons 1, 3, 6 - Using 3, 4, & 6
Factors, TM pp. 238-239, 242, 243,
248-249.
Play "multiplication quizmo."

Special Education:
- Peer tutor, multiplication chart, calculator,
manipulatives, problem solving checklist, buddy
system, computer reinforcement.

UNIT 9

The student will be able to :

Use mental math of breaking apart to find larger doubles.





4.8

More Multiplication Facts



Unit 9, Lessons 2 - Mental Math -
Finding Larger Doubles, TM pp. 240-
241





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations

Addison Wesley Mathematics, Copyright 1993
Counters, place value
blocks

 

Find both products when factors are the same.
4.8
Unit 9, Lesson 4 - Basic Facts That Are
Squares, TM pp. 244-245
Teaching options - Enrichment, TM p.
244
Cumulative Review
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Graph paper
Solve multi-step problems.
4.4
Unit 9, Lesson 5 - Problem Solving
Multiple Step Problems, TM pp. 246-
247
Explore algebra by finding the missing factor.
4.13
Unit 9, Lesson 7 - Exploring Algebra -
Missing Factors, TM pp. 250-251
Practice multiplication facts.  4.8 Unit 9, Lesson 8 - Mastering the Facts,
TM pp. 252-253, Lesson 11 - Practicing
the Facts, TM pp. 258-259
Teacher activity - have students play
"multiplication quizmo" to review facts.

Special Education
:
- Enlarge graph paper, peer tutor, problem multi-step checklist, multiplication chart, calculator.
Multiplication quizmo

UNIT 9

The student will be able to :

Use the associative property of multiplication to find the products of three factors.





4.8

More Multiplication Facts



Unit 9, Lesson 9 - Mental Math -
Multiplying 3 Factors, TM pp. 254-255,
Lesson 10 - Multiples, TM pp. 256-257




Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993

 

Solve problems with more than one answer.
4.4
Unit 9, Lesson 12 - Problem Solving -
Problems With More Than One Answer,
TM pp. 260-261
Teaching options - TM p. 260
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Small cooperative learning groups
UNIT 10
Identify & classify space figures.
4.7
Geometry
Unit 10, Lesson 1 - Space Figures, TM
pp. 270-271
Teaching options - Enrichment, TM pp.
270-271
Have the class construct 3-dimensional models of space figures.
Draw & recognize plane & space figures.  4.7 Unit 10, Lesson 2 - Plane Figures, TM p.
pp. 272-273
Pre-book Activities - Explore & Connect,
TM p. 272a
Have students construct their own plane
figures and make a mobile.
Geometric solids, plane figures, drawing paper

UNIT 10

The student will be able to :

Identify polygons, segments & points.





4.7

Geometry



Unit 10, Lesson 3 - Polygons &
Segments, TM pp. 274-275
Pre-book Activities - Explore & Connect,
TM p. 274a





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review


Addison Wesley Mathematics
, Copyright 1993
Geoboards

 

Identify angles & which is > , < , or = to a right angle.
4.7
Unit 10, Lesson 4 - Polygons & Angles,
TM pp. 276-277
Connections - Curriculum Connections,
TM p. 276a
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Book on constellations
Determine by estimation when answers are reasonable.
4.10
Unit 10, Lesson 5 - Problem Solving -
Determining Reasonable Answers, TM
pp. 278-279
Use critical thinking to compare polygons according to sides & angles.
4.4
4.7
Unit 10, Lesson 6 - Using Critical
Thinking, TM pp. 280-281
Identify lines of symmetry & congruent figures.  4.7 Unit 10, Lesson 7 - Symmetry, TM pp.
282-283, Lesson 8 - Congruence, TM
pp. 284-285
Pre-book Activities - Explore & Connect,
TM p. 284a

Special Education:
- Manipulatives, peer tutor, velcro or magnetic
boards & shapes, problem solving checklist,
computer program to reinforce repetition.
Tangram puzzle pieces, pattern blocks

UNIT 10

The student will be able to :

Identify parallel & intersecting lines.





4.7

Geometry



Unit 10, Lesson 9 - Parallel &
Intersecting Lines, TM pp. 286-287
Pre-Book Activities - Communication,
TM p. 286a

Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993

 

Locate & give coordinates of a point on a graph.
4.7
Unit 10, Lesson 10 - Coordinate
Geometry, TM pp. 288-289
Teacher created activity - study a map of
NJ, notice how it is sectioned into
squares, have students try to find the
coordinates of certain towns & cities.
Special Education:
- Manipulatives, peer tutor, velcro or magnetic
boards & shapes, problem solving checklist,
computer program to reinforce repetition.
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Graph paper, road map of NJ
UNIT 11

Understand the operation of division when shared equally.


4.8
Division Facts & Concepts

Unit 11, Lesson 1 - Problem Solving -
Understanding Division , TM pp. 298-
299


Counters, magazines, &/or catalogs
Use objects to develop an understanding of division by sharing equally.  4.8 Unit 11, Lesson 2 - More About
Division, TM pp. 300-301
Teaching options - Enrichment, TM p.
300

Special Education:
- Peer tutor, manipulatives, calculators, problem
solving checklist, multiplication charts.

UNIT 11

The student will be able to :

Divide by 2, 3, 4 & 5.





4.8

Division Facts & Concepts



Unit 11, Lessons 3, 4, 6 - Dividing by 2,
3, 4 & 5, TM pp. 302-303, 304-305, 308
-309.
Review facts by playing "division
quizmo."





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Division quizmo

 

Solve problems using data from a graph.
4.4
4.12
Unit 11, Lesson 5 - Problem Solving -
Using Data From a Graph, TM pp. 306-
307, Lesson 7 - Problem Solving, TM
pp. 310-311
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Use the relationship between division & multiplication to write fact families.
4.8
Unit 11, Lesson 8 - Fact Families, TM
pp. 312-313
Teaching options - Family Math, TM p.
312 (bottom).
Use 0 & 1 in division.
4.8
Unit 11, Lesson 9 - 0 & 1 in Division,
TM pp. 314-315
Understand the operation of division when finding how many equal sets can be made from a given set. 4.5
4.8
Unit 11, Lesson 10 - Problem Solving -
Extending the Division Concept, TM pp.
316-317

Special Education
:
- Peer tutor, manipulatives, calculators, problem
solving checklist, multiplication charts.
Calculators, small cooperative learning groups

UNIT 12

The student will be able to :

Divide by 6, 7, 8 & 9.





4.8

More Division Facts



Unit 12, Lessons 1, 2, 5 & 6 - Dividing
by 6, 7, 8 & 9, TM pp. 326-327, 328-
329, 334-335, 336-337
"Division quizmo."




Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993

 

Solve problems by finding related problems.
4.4
Unit 12, Lesson 3 - Problem Solving -
Finding Related Problems, TM pp. 330-
331
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Explore algebra by finding & graphing ordered pairs that make true equations.
4.13
Unit 12, Lesson 4 - Exploring Algebra,
TM pp. 332-333
Pre-Book Activities - Explore & Connect, TM p. 332a

Cm. graph paper

 

Practice division facts.
4.8
Unit 12, Lesson 7 - Know Your Facts,
TM pp. 338-339
Students can play "division quizmo" to
assist in mastering the facts.

Special Education
:
- Peer tutor, isolate problems, use calculator,
checklist, multiplication chart, computer
reinforce repetition.
Division quizmo
Unit 13

Use mental math to multiply two 1-digit numbers then add a 1-digit number to product.


4.8
Multiplication

Unit 13, Lesson 1 - Mental Math -
Multiply & Then Add, TM pp. 348-349

UNIT 13

The student will be able to :

Use the mental math technique to break apart the product of a 1-digit number.





4.8

Multiplication



Unit 13, Lesson 2 - Mental Math -
Special Products, TM pp. 350-351
Connections - Subject Integration, TM
p. 350a.

Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Place value blocks

 

Estimate products using rounding.
4.10
Unit 13, Lesson 3 - Estimating Products
Using Rounding, TM pp. 353-353
Teaching Options - Family Math, TM p.
352 (bottom).
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Number line
Use objects to solve the multiplication of 2-digit numbers by 1-digit numbers with trading.
4.5
4.8
Unit 13, Lesson 4 - Multiplying -
Making the Connection, TM pp. 354-
355, Lesson 5 - Multiplying - Trading
Ones, TM pp. 356-357
Counters &/or blocks
Multiply 2-digit by 1-digit numbers with trading and 3-digit products.
4.8
Unit 13, Lesson 6 - More About Multiplying, TM pp. 358-359
Use critical thinking skills to analyze the multiplication process.  4.8 Unit 13, Lesson 7 - Using Critical
Thinking, TM pp. 360-361
Pre-Book Activities - Communication,
TM p. 360a

Special Education:
- Peer tutor, calculator, computer
reinforcement, velcro boards.

UNIT 13

The student will be able to :

Choose an appropriate method of calculation and use a calculator.





4.5
 

Multiplication



Unit 13, Lesson 8 - Problem Solving -
Choosing a Calculation Method, TM pp.
362-363, Lesson 10 - Problem Solving -
Using a Calculator, TM pp. 366-367

Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Calculators, small cooperative learning groups

 

Use estimation technique to find money products.
4.10
Unit 13, Lesson 9 - Estimating &
Finding Money Products, TM pp. 364-
365
Pre-Book Activities - Explore & Connect,
TM p. 364a
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Play money
UNIT 14
Estimate, measure & compare lengths in cm., dm., m, & km.
4.9
Metric Measurement
Unit 14, Lesson 1 - Estimating
& Measuring Length in Centimeters,
TM pp. 376-377, Lesson 2 - Decimeter,
Meter & Kilometer, TM pp. 378-379
Metric rulers, meter sticks
Measure area using nonstandard units & square centimeters.
4.9
Unit 14, Lesson 3 - Area, TM pp. 380-
381, Enrichment - Surface Area
Applications, TM p. 396
Cm. graph paper
Measure volume in cubic units. 4.9 Unit 14, Lesson 4 - Volume, TM pp. 382-
383
Pre-Book Activities - Explore & Connect,
TM p. 382a
Special Education:
- Peer tutor, calculator, computer
reinforcement, velcro boards.
Cube-o-grams

UNIT 14

The student will be able to :

Measure temperature in degrees Celsius.





4.9

Metric Measurement



Unit 14, Lesson 5 -Temperature, TM p.
384
Pre-Book Activities - Explore & Connect,
TM p. 384a
Connections - Subject Integration, TM p.
384a (bottom)

Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Celsius
thermometers

 

Estimate, measure & compare capacity with liters & milliliters.
4.9
Unit 14, Lesson 6 - Liters & Milliliters,
TM pp. 386-387
Teaching Options - Family Math, TM p.
386
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Containers of
various capacities
Estimate, measure & compare grams & kilograms.
4.9
Unit 14, Lesson 7 - Grams & Kilograms,
TM pp. 388-389
Pre-Book Activities - Explore & Connect,
Primer balance,
Cube-O-Grams
Decide whether an actual measurement is needed or whether an estimate is sufficient.  4.9
4.10
TM p. 388a
Unit 14, Lesson 8 - Problem Solving -
Deciding When to Estimate, TM pp.
390-391

Special Education
:
- Peer tutoring, cooperative groups, problem
solve checklist, manipulatives, velcro or magnetic board, calculator.

UNIT 15

The student will be able to :

Name fractional parts of regions & parts of a whole.





4.6

Fractions & Decimals



Unit 15, Lesson 1 - Naming Parts of a
Whole, TM pp. 400-401, Lesson 2 -
Understanding Fractions, TM pp. 402-
403

Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993
Cm. graph paper, fraction
strips, cubes

 

Find equivalent fractions.
4.6
Unit 15, Lesson 3 - Equivalent Fractions,
TM pp. 404-405
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Use objects to develop an understanding of comparing fractions.
4.8
Unit 15, Lesson 4 - Comparing
Fractions, TM pp. 406-407
Pre-book Activities - Explore & Connect,
TM p. 406a
Write fractions & use division to find fractional parts of a set.
4.6
Unit 15, Lesson 5 - Fractional Parts of a
Set, TM pp. 408-409, Lesson 6 - Finding
a Fraction of a Number, TM pp. 410-
411
Counters
Explore algebra by using objects to find patterns.
4.13
Unit 15, Lesson 7 - Exploring Algebra,
TM pp. 412-413
Graph paper
Estimate fractional parts using a benchmark technique. 4.6
4.10
Unit 15, Lesson 8 - Estimating Fractional
Parts, TM pp. 414-415
Connections - Subject Integration, TM p.
414a

Special Education:
- Manipulatives, peer tutor, calculator,
computer program, problem solving checklist.
Drawing paper

UNIT 15

The student will be able to :

Use mixed numbers.

 






4.6

Fractions & Decimals




Unit 15, Lesson 9 - Mixed Numbers, TM
pp. 416-417





Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993

 

Add & subtract fractions with like denominators.
4.6
Unit 15, Lesson 10 - Adding &
Subtracting Fractions, TM pp. 418-419
Pre-book Activities - Explore & Connect, TM p. 418a
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Fraction pieces (eighths)
Read & write decimals in tenths.
4.6
Unit 15, Lesson 11 - Reading & Writing
Decimals, TM pp. 420-421
Pre-book Activities - Explore & Connect, TM p. 420a
Snap cubes
Write decimals for amounts greater than 1.
4.6
Unit 15, Lesson 12 - Larger Decimals,
TM pp. 422-423
Graph paper
Use objects to develop an understanding of tenths, hundredths, adding & subtracting decimals.
4.5
4.6
Unit 15, Lesson 13 - Extending Decimal
Concepts, TM pp. 424-425, Lesson 14 -
Adding & Subtracting Decimals -
Making the Connection, TM pp. 426-427
Calculators, place value
blocks
Solve a problem by estimating. 4.10 Unit 15, Lesson 15 - Problem Solving -
Estimating an Answer, TM pp. 428-429

Special Education:
- Manipulatives, peer tutor, calculator,
computer program, problem solving checklist.

UNIT 16

The student will be able to :

Use the estimation technique of compatible numbers to estimate quotients.





4.10

Division


Unit 16, Lesson 1 - Estimating Quotients
Using Compatible Numbers, TM pp.
438- 439

Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review

Addison Wesley Mathematics, Copyright 1993

 

Use objects to develop an understanding of finding quotients with remainders.
4.5
4.8
Unit 16, Lesson 2 - Finding Quotients &
Remainders - Making the Connection,
TM pp. 440-441
Teaching Options - Enrichment, TM p.
440 (bottom)
Wrap-up
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Counters & cups
Find quotients & remainders with a 1-digit divisor.
4.8
Unit 16, Lesson 3 - Dividing - Finding
Quotients & Remainders, TM pp. 442-
443
Check division problems by multiplication.
4.8
Unit 16, Lesson 4 - Checking Division,
TM pp. 444-445
Solve problems interpreting division remainders.  4.8 Unit 16, Lesson 5 - Problem Solving -
Interpreting Remainders, TM pp. 446-
447
Pre-book Activities - Explore & Connect,
TM p. 446a

Special Education:
- Peer tutor, computer reinforcement, problem
solving checklist, calculator.
Small cooperative learning groups

UNIT 16

The student will be able to :

Use objects to develop and understanding of dividing to find 2-digit quotients.

4.5
4.8

Division
Unit 16, Lesson 6 - Finding 2-Digit
Quotients - Making the Connection, TM
pp. 448-449
Teaching Options - Enrichment, TM p.
448 (bottom)

Practice Workbook Pages
Teacher-made Materials
Teacher-made Evaluations
Teacher Observations
Cumulative Review
Wrap-up

Addison Wesley Mathematics, Copyright 1993
Play money

 

Use the estimation technique of rounding to estimate money quotients. 4.8
4.10
Unit 16, Lesson 7 - Estimating Money
Quotients, TM pp. 450-451
Pre-book Activities - Explore & Connect,
TM p. 450a

Special Education:
- Peer tutor, computer reinforcement, problem
solving checklist, calculator.
Power Practice Quizzes/Tests
Chapter Tests
Close & Assess
Cooperative learning pairs

NOTE SPECIAL EDUCATION MODIFICATIONS SUGGESTIONS. SEE IEP FOR SPECIFIC ACCOMMODATIONS.

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