ROSE TREE MEDIA SCHOOL DISTRICT
COURSE CURRICULUM
COURSE TITLE: MATH
GRADE LEVEL: GRADE 4
CREATION DATE: November 2003
Essential Question, Concept or Theme: A. Demonstrate knowledge of number systems and number relationships
PA Standards: 2.1.5.A,B,C,D,E,F,G
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
A. Number Systems/Number Relationships:
1. Use expanded notation to represent
whole numbers or decimals.
2. Apply number theory concepts to
rename a number quantity (e.g., six, 6,
12/2, 3x2, 10-4)
3. Demonstrate that mathematical
operations can represent a variety of
problem situations.
4. Use models to represent fractions and
decimals
5. Explain the concepts of prime and
composite numbers
6. Use simple concepts of negative
numbers (e.g., on number line, in
counting , in temperature)
7. Develop and apply number theory
concepts (e.g., primes, factors,
multiples, composites) to represent
numbers in various ways.
These May Be Used in Each
Unit:
Computer Software
Investigations Units (Listed
by Appropriate Topic)
SFAW:
Text
Lessons
Performance
Assessments
Problem of the Day
Chapter and
Cumulative Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
C. Investigations Unit:
D. Investigations Units:
Math – Grade 4
Page 1
TEXT: Scott ForesmanAddison Wesley Math - Grade
Four; Scott Foresman-Addison
Wesley, ©1998.
TEXT: Investigations in
Numbers, Data, and Space;
Dale Seymour Publications, ©
1998.
Graph Wonder computer
graphing program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets
and activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
Approx. Time Allotment:
Instructional Strategies
These strategies and activities
apply to all units:
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
-1-
November 2003
Approx. Time
Allotment:
Essential Question, Concept or Theme: A. Demonstrate knowledge of number systems and number relationships
PA Standards: 2.1.5.A,B,C,D,E,F,G
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following
subject units:
Science: Motion and Design;
Land and Water, Microworlds
Social Studies- Nystrom map
skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 2
-2-
November 2003
Essential Question, Concept or Theme: B. Demonstrate an understanding of arithmetic and number concepts.
PA Standards: 2.2.5 A,D,E,G,H,I
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
B. Arithmetic and Number
Concepts:
1. Create and solve word problems
involving addition, subtraction,
multiplication and division of
whole numbers.
2. Demonstrate an ability to round
numbers.
3. Determine through estimations
the reasonableness of answers to
problems involving addition,
subtraction, multiplication and
division of whole numbers.
4. Apply estimation strategies to a
variety of problems including time
and money.
5. Explain multiplication and
division algorithms.
6. Select a method for computation
and explain why it is appropriate
These May Be Used in Each Unit:
Computer Software
Investigations Units (Listed by
Appropriate Topic)
SFAW:
Text
Lessons
Performance Assessments
Problem of the Day
Chapter and Cumulative
Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
C. Investigations Unit:
TEXT: Scott Foresman-Addison
Wesley Math - Grade Four; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
Graph Wonder computer graphing
program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets and
activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
Approx. Time Allotment:
Instructional Strategies
These strategies and activities
apply to all units:
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
D. Investigations Units:
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
Math – Grade 4
Page 3
-3-
November 2003
Essential Question, Concept or Theme: B. Demonstrate an understanding of arithmetic and number concepts.
PA Standards: 2.2.5 A,D,E,G,H,I
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners: Inclusion
and Language Development
Peer Tutors
Computation Aides - manipulatives, number lines,
etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following subject
units:
Science: Motion and Design; Land
and Water, Microworlds
Social Studies- Nystrom map skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 4
-4-
November 2003
Essential Question, Concept or Theme: C. Demonstrate knowledge of measurement and time concepts
PA Standards: 2.3.5 A,B,C,D,E
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
C. Measurement and Time Concepts:
1. Select and use appropriate
instruments and units for measuring
quantities (e.g., perimeter, volume,
area, weight, time, temperature)
2. Select and use standard tolls to
measure the size of figures in
specified accuracy, including length,
width, perimeter and area.
3. Estimate, refine and verify
specified measurements of objects
4. Convert linear measurements
within the same system
5. Add and subtract measurements
These May Be Used in Each
Unit:
Computer Software
Investigations Units (Listed by
Appropriate Topic)
SFAW:
Text
Lessons
Performance
Assessments
Problem of the Day
Chapter and Cumulative
Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
TEXT: Scott Foresman-Addison
Wesley Math - Grade Four; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
Graph Wonder computer graphing
program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets and
activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
Approx. Time Allotment:
Instructional Strategies
These strategies and activities
apply to all units:
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
C. Investigations Unit:
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
D. Investigations Units:
Math – Grade 4
Page 5
-5-
November 2003
Essential Question, Concept or Theme: C. Demonstrate knowledge of measurement and time concepts
PA Standards: 2.3.5 A,B,C,D,E
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following subject
units:
Science: Motion and Design; Land
and Water, Microworlds
Social Studies- Nystrom map skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 6
-6-
November 2003
Essential Question, Concept or Theme: D. Students will apply mathematical reasoning to make connections, and to
Approx. Time Allotment:
solve problems involving everyday situations.
PA Standards: 2.4.5.A,B,C,D,E,F; 2.5.5.A,B,C,D,E,F; 2.2.5.C
Aligned Materials/
Benchmark/Skills
Assessment
Instructional Strategies
Resources/Technology
D. Mathematical Reasoning and
Problem-Solving:
1. Compare quantities and magnitudes
of numbers
2. Use models, number facts,
properties and relationships to check
and verify predictions and explain
reasoning.
3. Draw inductive and deductive
conclusions within mathematical
contexts
4. Distinguish between relevant and
irrelevant information in a
mathematical problem
5. Interpret statements made with
precise language of logic (e.g., “all,
“or”, “every”, “none”, “some”, “or”,
“many”
6. Use statistics to quantify issues
(e.g., in social studies, in science)
7. Develop a plan to analyze a
problem, identify the information
needed to solve the problem, carry out
the plan, check whether an answer
makes sense and explain how the
problem was solved
8. Use appropriate mathematical
terms, vocabulary, language symbols
and graphs to explain clearly and
logically solutions to problems.
Math – Grade 4
These May Be Used in Each
Unit:
Computer Software
Investigations Units (Listed by
Appropriate Topic)
SFAW:
Text
Lessons
Performance
Assessments
Problem of the Day
Chapter and Cumulative
Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
TEXT: Scott Foresman-Addison
Wesley Math - Grade Four; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
Graph Wonder computer graphing
program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets and
activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
These strategies and activities
apply to all units:
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
C. Investigations Unit:
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
D. Investigations Units:
Page 7
-7-
November 2003
Essential Question, Concept or Theme: D. Students will apply mathematical reasoning to make connections, and to
Approx. Time Allotment:
solve problems involving everyday situations.
PA Standards: 2.4.5.A,B,C,D,E,F; 2.5.5.A,B,C,D,E,F; 2.2.5.C
Aligned Materials/
Benchmark/Skills
Assessment
Instructional Strategies
Resources/Technology
9. Show ideas in a variety of ways,
including words, numbers, symbols,
pictures, charts, graphs, tables,
diagrams and models
10. Connect, extend and generalize
problem solutions to other concepts,
problems and circumstances in
mathematics
11. Select, use and justify the
methods, materials and strategies used
to solve problems
12. Use appropriate problem-solving
strategies (E.g., solving a simpler
problem, drawing a picture or
diagram)
13. Develop and apply algoithms to
solve word problems that involve
addition, subtractions with fractions
and mixed numbers with like
denominators.
Math – Grade 4
Page 8
-8-
November 2003
Essential Question, Concept or Theme: D. Students will apply mathematical reasoning to make connections,
and to solve problems involving everyday situations.
PA Standards: 2.4.5.A,B,C,D,E,F; 2.5.5.A,B,C,D,E,F; 2.2.5.C
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following subject
units:
Science: Motion and Design; Land
and Water, Microworlds
Social Studies- Nystrom map skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 9
-9-
November 2003
Essential Question, Concept or Theme: E. Students will collect and analyze data to make pictorial representations of
Approx. Time
information.
Allotment:
PA Standards: 2.6.5.A,B,C,D,E; 2.7.5.A, I
Aligned Materials/
Benchmark/Skills
Assessment
Instructional Strategies
Resources/Technology
E. Collecting and Analyzing Data:
1. Organize and display data using
pictures, tallies, tables, charts, bar
graphs and circle graphs
2. Describe data sets using mean,
median, mode and range
3. Sort data using Venn diagrams
4. Predict the likely number of times
a conditions will occur based on
analyzed data
5. Construct and defend simple
conclusions based on data
6. Perform simulations with concrete
devices (e.g., dice, spinner) to predict
the chance of an event occurring
7. Find all possible combinations and
arrangements involving a limited
number of variables
8. Predict and determine why some
outcomes are certain, more likely,
less likely, equally likely or
impossible
These May Be Used in Each
Unit:
Computer Software
Investigations Units (Listed by
Appropriate Topic)
SFAW:
Text
Lessons
Performance
Assessments
Problem of the Day
Chapter and Cumulative
Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
TEXT: Scott Foresman-Addison
Wesley Math - Grade Four; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
Graph Wonder computer graphing
program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets and
activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
These strategies and activities
apply to all units:
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
C. Investigations Unit:
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
D. Investigations Units:
Math – Grade 4
Page 10
- 10 -
November 2003
Essential Question, Concept or Theme: E. Students will collect and analyze data to make pictorial
representations of information.
PA Standards: 2.6.5.A,B,C,D,E; 2.7.5.A, I
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following subject
units:
Science: Motion and Design; Land
and Water, Microworlds
Social Studies- Nystrom map skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 11
- 11 -
November 2003
Essential Question, Concept or Theme: F. Demonstrate knowledge of geometry concepts
PA Standards: 2.9 A, B, D, E, F, H, I, J, L
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
F. Geometry
1. Give formal definitions of
geometric figures
2. Classify and compare triangles
and quadrilaterals according to sides
or angles
3. Describe in words how geometric
shapes are constructed
4. Construct two-and threedimensional shapes and figures using
manipulatives, geoboards, and
computer software
5. Find familiar solids in the
environment and describe them
6. Describe the relationship between
the perimeter and area of triangles,
quadrilaterals and circles
7. Represent and use the concepts of
line, point and plane
8. Define the basic properties of
squares, pyramids, parallelograms,
quadrilaterals, trapezoids, polygons,
rectangles, rhombi, circles, triangles,
cubes, prisms, spheres and cylinders.
9. Identify properties of geometric
figures (e.g., parallel, perpendicular,
similar, congruent, symmetrical)
These strategies and activities
apply to all units:
Math – Grade 4
These May Be Used in Each
Unit:
Computer Software
Investigations Units (Listed by
Appropriate Topic)
SFAW:
Text
Lessons
Performance
Assessments
Problem of the Day
Chapter and Cumulative
Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
TEXT: Scott Foresman-Addison
Wesley Math - Grade Four; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
Graph Wonder computer graphing
program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets and
activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
Instructional Strategies
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
C. Investigations Unit:
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
D. Investigations Units:
Page 12
- 12 -
November 2003
Essential Question, Concept or Theme: F. Demonstrate knowledge of geometry concepts
PA Standards: 2.9 A, B, D, E, F, H, I, J, L
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following subject
units:
Science: Motion and Design; Land
and Water, Microworlds
Social Studies- Nystrom map skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 13
- 13 -
November 2003
Essential Question, Concept or Theme: G. Demonstrate knowledge of trigonometry concepts
PA Standards: 2.10.5.A,B
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
G. Trigonometry
1. Identify and compare parts of right
triangles, including right angles, acute
angles, hypotenuses and legs.
2. Create right triangles on a
geoboard
These strategies and activities
apply to all units:
These May Be Used in Each
Unit:
Computer Software
Investigations Units (Listed by
Appropriate Topic)
SFAW:
Text
Lessons
Performance
Assessments
Problem of the Day
Chapter and Cumulative
Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
TEXT: Scott Foresman-Addison
Wesley Math - Grade Four; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
Graph Wonder computer graphing
program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets and
activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
Instructional Strategies
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
C. Investigations Unit:
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
D. Investigations Units:
Math – Grade 4
Page 14
- 14 -
November 2003
Essential Question, Concept or Theme: G. Demonstrate knowledge of trigonometry concepts
PA Standards: 2.10.5.A,B
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following subject
units:
Science: Motion and Design; Land
and Water, Microworlds
Social Studies- Nystrom map skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 15
- 15 -
November 2003
Essential Question, Concept or Theme: H. Demonstrate knowledge of calculus concepts
PA Standards: 2.11.5.A,B,C,D,E,F
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
H. Calculus
1. Make comparisons of numbers
(e.g., more, less, same, least, most
greater than, less than)
2. Identify least and greatest values
represented in bar and circle graphs
3. Identify maximum and minimum
4. Describe the relationship between
rates of change and time
5. Estimate areas and volumes as the
sums of areas of tiles and volumes of
cubes
6. Describe the relationship between
the size of the unit of measurement
and the estimate of the areas and
volumes
These strategies and activities
apply to all units:
These May Be Used in Each
Unit:
Computer Software
Investigations Units (Listed by
Appropriate Topic)
SFAW:
Text
Lessons
Performance
Assessments
Problem of the Day
Chapter and Cumulative
Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
TEXT: Scott Foresman-Addison
Wesley Math - Grade Four; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
Graph Wonder computer graphing
program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets and
activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
Instructional Strategies
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
C. Investigations Unit:
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
D. Investigations Units:
Math – Grade 4
Page 16
- 16 -
November 2003
Essential Question, Concept or Theme: H. Demonstrate knowledge of calculus concepts
PA Standards: 2.11.5.A,B,C,D,E,F
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following subject
units:
Science: Motion and Design; Land
and Water, Microworlds
Social Studies- Nystrom map skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 17
- 17 -
November 2003
Essential Question, Concept or Theme: I. Demonstrate their knowledge of algebra and functions
PA Standards: 2.8 A,B,C,D,E,F,G,H
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
I. Algebra and Functions
1. Recognize, reproduce, extend,
create and describe patterns,
sequences and relationships verbally,
numerically, symbolically and
graphically, using a variety of
materials
2. Connect patterns to geometric
relations and basic number skills
3. Form rules based on patterns (e.g.,
an equation that relates pairs in a
sequence)
4. Use concrete objects and
combinations of symbols and
numbers to create expressions that
model mathematical situations
5. Explain the use of combinations of
symbols and numbers in expressions,
equations, inequalities
6. Describe a realistic situation using
information given in equations,
inequalities, tables or graphs
7. Select and use appropriate
strategies, including concrete
materials, to solve number sentences
and explain the method of solution
8. Locate and identify points on a
coordinate system
These strategies and activities
apply to all units:
Math – Grade 4
These May Be Used in Each
Unit:
Computer Software
Investigations Units (Listed by
Appropriate Topic)
SFAW:
Text
Lessons
Performance
Assessments
Problem of the Day
Chapter and Cumulative
Tests
Observations
Class participation
Math Journal
Group Work
Rubrics
Proficiency Test
A. Investigations Units:
B. Investigations Units:
TEXT: Scott Foresman-Addison
Wesley Math - Grade Four; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
Graph Wonder computer graphing
program
Cornerstone Math
Daily Math
Optional Resources:
Teacher-generated worksheets and
activities
Internet
Literature
Audio Tapes
Calculators
Manipulatives
Calendar Kit
CD ROMs
Daily Transparencies
Instructional Strategies
Activate Prior Knowledge
Problem of the Day
Math Routines
Mental Math
Journals
Learn, Explore, Connect, Practice
Vocabulary Development
A. Basic Facts Games and Flash
Cards
B. Role Play
C. Team Projects
D. Verbal Explanations of
Solutions
E. Puzzles and Games (Tangrams,
Pentominoes, etc.)
C. Investigations Unit:
B. Games
C. Home-School Connections
E Newspapers, encyclopedias,
magazines, almanacs
D. Investigations Units:
Page 18
- 18 -
November 2003
Essential Question, Concept or Theme: I. Demonstrate their knowledge of algebra and functions
PA Standards: 2.8 A,B,C,D,E,F,G,H
Adaptations/Inclusion Techniques
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
Enrichment Strategies
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
Remediation Strategies
Approx. Time Allotment:
Multicultural/Interdisciplinary
Connection
Literature suggestions for each
chapter are listed in the SFAW
Teacher's Manual
Children's weekly current events
publications (eg, Scholastic News,
Time to Read, Weekly Reader,
Time for Kids, Storyworks)
Interdisciplinary and multicultural
connections are included on Data
File and Math Magazine pages in
SFAW text
Interdisciplinary connections can
be made with the following subject
units:
Science: Motion and Design; Land
and Water, Microworlds
Social Studies- Nystrom map skills
Pennsylvania textbook
Regions of the United States
textbook
Math – Grade 4
Page 19
- 19 -
November 2003