ROSE TREE MEDIA SCHOOL DISTRICT
COURSE CURRICULUM
COURSE TITLE: MATH
GRADE LEVEL: GRADE 3
CREATION DATE: November 2003
Essential Question, Concept or Theme: A. Acquire knowledge of number systems and number relationships
PA Standards: 2.1
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
A. Number Systems/Number Relationships:
1. Represent equivalent forms of the same
number through the use of concrete objects,
drawings, word names, and symbols.
2. Count using whole numbers (to 10,000)
and by 2s, 3s, 5s, 10s, 25s, and 100s.
3. Apply and continue number patterns (eg:
even and odd).
4. Compare value of numbers on the
hundred board.
5. Use concrete objects to count, order, and
group.
6. Apply place value concepts and
numeration to counting, ordering and
grouping.
7. Estimate, approximate, round, or use
exact numbers as appropriate.
8. Demonstrate knowledge of basic facts in
four operations (add, subtract, multiply,
divide).
9. Count, compare and make change, using
a collection of coins and one dollar bills.
10. Use whole numbers and fractions to
represent quantities.
11. Use drawings, diagrams, or models to
show the concept of a fraction as a part of a
whole.
12. Demonstrate an understanding of oneto-one correspondence.
13. Describe the inverse relationship between
addition and subtraction.
Math – Grade 3
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:
Mathematical Thinking at
Grade 3 (Introduction)
Landmarks in the Hundreds
(The Number System)
Up and Down the Number
Line (Changes)
Fair Shares (Fractions)
Basic Facts Review Games
Basic Facts Quizzes
Page 1
TEXT: Scott ForesmanAddison Wesley Math - Grade
Three; Scott ForesmanAddison Wesley, ©1998.
TEXT: Investigations in
Numbers, Data, and Space;
Dale Seymour Publications, ©
1998.
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.)
Games
Home-School Connections
Newspapers, encyclopedias,
magazines, almanacs
-1-
November 2003
Essential Question, Concept or Theme: A. Acquire knowledge of number systems and number relationships
PA Standards: 2.1
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
B. Investigations Units:
Things That Come in Groups
(Multiplication and Division)
Combining and Comparing
(Addition and Subtraction)
Hands-on Equations Program
Approx. Time Allotment:
Instructional Strategies
C. Investigations Unit:
From Paces to Feet
(Measurement)
D. Investigations Units:
Flips, Turns and Area (2-D
Geometry)
Turtle Path (2-D Geometry)
Exploring Solids and Boxes
(3-D Geometry)
Math – Grade 3
Page 2
-2-
November 2003
Essential Question, Concept or Theme: A. Acquire knowledge of number systems and number relationships Approx. Time Allotment:
PA Standards: 2.1
Multicultural/Interdisciplinary
Adaptations/Inclusion Techniques
Enrichment Strategies
Remediation Strategies
Connection
SFAW Additional Practice
SFAW Options for Reaching All Learners:
Inclusion and Language Development
Peer Tutors
Computation Aides - manipulatives, number
lines, etc.
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
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)
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- Solar System,
Embryology, Parts to Whole,
Chemical Tests, Average and
Sampling
Social Studies- Nystrom map
skills
MacMillan, McGraw-Hill Student
Anthology stories:
"Opt: An Illusionary Tale"
"Fruit and Vegetable Man"
"Cactus Hotel
"Patchwork Quilt"
Math – Grade 3
Page 3
-3-
November 2003
Essential Question, Concept or Theme: B. Demonstrate an understanding of arithmetic and number concepts Approx. Time Allotment:
PA Standards: 2.2
Aligned Materials/
Benchmark/Skills
Assessment
Instructional Strategies
Resources/Technology
B. Arithmetic and Number
Concepts:
1. Apply addition and subtraction
in everyday situations using
concrete objects.
2. Solve one-, two-, and three-digit
addition and subtraction problems
with regrouping in a vertical form.
3. Explain addition and subtraction
algorithms with regrouping.
4. Demonstrate the concept of
multiplication as repeated addition
and arrays.
5. Demonstrate the concept of
division as repeated subtraction
and sharing.
6. Use estimation skills to arrive at
conclusions.
7. Determine the reasonableness of
calculated answers.
8. Substitute a missing addend in a
number sentence.
9. Create a story to match a given
combination of symbols and
numbers.
10. Use concrete objects and
symbols to model equalities and
inequalities
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:
Mathematical Thinking at Grade 3
(Introduction)
Landmarks in the Hundreds (The
Number System)
Up and Down the Number Line
(Changes)
Fair Shares (Fractions)
Basic Facts Review Games
Basic Facts Quizzes
TEXT: Scott Foresman-Addison
Wesley Math - Grade Three; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
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.)
Games
Home-School Connections
Newspapers, encyclopedias,
magazines, almanacs
B. Investigations Units:
Things That Come in Groups
Math – Grade 3
Page 4
-4-
November 2003
Essential Question, Concept or Theme: B. Demonstrate an understanding of arithmetic and number concepts Approx. Time Allotment:
PA Standards: 2.2
Aligned Materials/
Benchmark/Skills
Assessment
Instructional Strategies
Resources/Technology
(Multiplication and Division)
Combining and Comparing
(Addition and Subtraction)
Hands-on Equations Program
C. Investigations Unit:
From Paces to Feet (Measurement)
D. Investigations Units:
Flips, Turns and Area (2-D
Geometry)
Turtle Path (2-D Geometry)
Exploring Solids and Boxes (3-D
Geometry)
Math – Grade 3
Page 5
-5-
November 2003
Essential Question, Concept or Theme: B. Demonstrate an understanding of arithmetic and number concepts Approx. Time Allotment:
PA Standards: 2.2
Multicultural/Interdisciplinary
Adaptations/Inclusion Techniques
Enrichment Strategies
Remediation Strategies
Connection
SFAW Additional Practice
SFAW Options for Reaching All Learners: Inclusion
and Language Development
Peer Tutors
Computation Aides - manipulatives, number lines,
etc.
SFAW Extended
Investigations
SFAW Enrichment
Worksheets
SFAW Problem Solving
Worksheets
Software Programs
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)
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- Solar System,
Embryology, Parts to Whole,
Chemical Tests, Average and
Sampling
Social Studies- Nystrom map skills
MacMillan, McGraw-Hill Student
Anthology stories:
"Opt: An Illusionary Tale"
"Fruit and Vegetable Man"
"Cactus Hotel
"Patchwork Quilt"
Math – Grade 3
Page 6
-6-
November 2003
Essential Question, Concept or Theme: C. Develop their knowledge of measurement and time concepts
PA Standards: 2.3
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
C. Measurement and Time Concepts:
1. Compare measurable
characteristics of different objects on
the same dimensions (eg: time,
temperature, area, length, weight,
capacity, perimeter).
2. Determine measurement of objects
with customary and metric units.
3. Tell time to one minute.
4. Determine and compare elapsed
time.
5. Determine the appropriate unit of
measure.
6. Use concrete objects to determine
area and perimeter.
7. Estimate and verify measurements.
8. Demonstrate that a single object
has different attributes that can be
measured in different ways (eg: length,
mass, weight, time, area, temperature,
capacity, perimeter)
These strategies and activities
apply to all units:
Math – Grade 3
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
TEXT: Scott Foresman-Addison
Wesley Math - Grade Three; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
A. Investigations Units:
Mathematical Thinking at
Grade 3 (Introduction)
Landmarks in the Hundreds
(The Number System)
Up and Down the Number Line
(Changes)
Fair Shares (Fractions)
Basic Facts Review Games
Basic Facts Quizzes
Games
Home-School Connections
Newspapers, encyclopedias,
magazines, almanacs
Page 7
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.)
-7-
November 2003
Essential Question, Concept or Theme: C. Develop their knowledge of measurement and time concepts
PA Standards: 2.3
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
B. Investigations Units:
Things That Come in Groups
(Multiplication and Division)
Combining and Comparing
(Addition and Subtraction)
Hands-on Equations Program
Approx. Time Allotment:
Instructional Strategies
C. Investigations Unit:
From Paces to Feet
(Measurement)
D. Investigations Units:
Flips, Turns and Area (2-D
Geometry)
Turtle Path (2-D Geometry)
Exploring Solids and Boxes (3D Geometry)
Math – Grade 3
Page 8
-8-
November 2003
Essential Question, Concept or Theme: C. Develop their knowledge of measurement and time concepts
PA Standards: 2.3
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)
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- Solar System,
Embryology, Parts to Whole,
Chemical Tests, Average and
Sampling
Social Studies- Nystrom map skills
MacMillan, McGraw-Hill Student
Anthology stories:
"Opt: An Illusionary Tale"
"Fruit and Vegetable Man"
"Cactus Hotel
"Patchwork Quilt"
Math – Grade 3
Page 9
-9-
November 2003
Essential Question, Concept or Theme: D. Students will use mathematical reasoning to make connections,
and to solve problems involving everyday situations.
PA Standards: 2.4, 2.5
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
D. Mathematical Reasoning and
Problem-Solving:
1. Make, check, and verify
predictions about the quantity, size,
and shape of objects, and groups of
objects.
2. Use measurements in everyday
situations.
3. Select and use appropriate
problem-solving strategies. (eg: use
objects, act it out, draw a picture,
look for a pattern, guess and check,
use logical reasoning, make an
organized list, make a table, solve a
simpler problem, work backward,
mental math)
4. Determine when sufficient
information is present to solve a
problem, and explain how to solve a
problem.
Math – Grade 3
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
TEXT: Scott Foresman-Addison
Wesley Math - Grade Three; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
A. Investigations Units:
Mathematical Thinking at Grade
3 (Introduction)
Landmarks in the Hundreds (The
Number System)
Up and Down the Number Line
(Changes)
Fair Shares (Fractions)
Basic Facts Review Games
Basic Facts Quizzes
Games
Home-School Connections
Newspapers, encyclopedias,
magazines, almanacs
Page 10
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.)
- 10 -
November 2003
Essential Question, Concept or Theme: D. Students will use mathematical reasoning to make connections,
and to solve problems involving everyday situations.
PA Standards: 2.4, 2.5
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
Instructional Strategies
B. Investigations Units:
Things That Come in Groups
(Multiplication and Division)
Combining and Comparing
(Addition and Subtraction)
Hands-on Equations Program
C. Investigations Unit:
From Paces to Feet
(Measurement)
D. Investigations Units:
Flips, Turns and Area (2-D
Geometry)
Turtle Path (2-D Geometry)
Exploring Solids and Boxes (3-D
Geometry)
Math – Grade 3
Page 11
- 11 -
November 2003
Essential Question, Concept or Theme: D. Students will use mathematical reasoning to make connections,
and to solve problems involving everyday situations.
PA Standards: 2.4, 2.5
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)
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- Solar System,
Embryology, Parts to Whole,
Chemical Tests, Average and
Sampling
Social Studies- Nystrom map skills
MacMillan, McGraw-Hill Student
Anthology stories:
"Opt: An Illusionary Tale"
"Fruit and Vegetable Man"
"Cactus Hotel
"Patchwork Quilt"
Math – Grade 3
Page 12
- 12 -
November 2003
Essential Question, Concept or Theme: E. Students will collect and analyze data to make pictorial
representations of information.
PA Standards: 2.6, 2.7
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
E. Collecting and Analyzing Data:
1. Gather, organize, and display data
using pictures, tallies, charts, bar
graphs, line graphs, and pictographs.
2. Formulate and answer questions
based on data shown on graphs.
3. Predict the likely number of times
a condition will occur and recognize
that the results may not match
predicted outcomes.
4. Learn to distinguish between
likely and unlikely and fair and
unfair.
5. Analyze data using the concepts of
largest, smallest, most often, least
often, and middle.
Math – Grade 3
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
TEXT: Scott Foresman-Addison
Wesley Math - Grade Three; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
A. Investigations Units:
Mathematical Thinking at Grade
3 (Introduction)
Landmarks in the Hundreds (The
Number System)
Up and Down the Number Line
(Changes)
Fair Shares (Fractions)
Basic Facts Review Games
Basic Facts Quizzes
Games
Home-School Connections
Newspapers, encyclopedias,
magazines, almanacs
Page 13
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.)
- 13 -
November 2003
Essential Question, Concept or Theme: E. Students will collect and analyze data to make pictorial
representations of information.
PA Standards: 2.6, 2.7
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
Instructional Strategies
B. Investigations Units:
Things That Come in Groups
(Multiplication and Division)
Combining and Comparing
(Addition and Subtraction)
Hands-on Equations Program
C. Investigations Unit:
From Paces to Feet
(Measurement)
D. Investigations Units:
Flips, Turns and Area (2-D
Geometry)
Turtle Path (2-D Geometry)
Exploring Solids and Boxes (3-D
Geometry)
Math – Grade 3
Page 14
- 14 -
November 2003
Essential Question, Concept or Theme: F. Develop knowledge of geometry concepts
PA Standards: 2.9, 2.10
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)
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- Solar System,
Embryology, Parts to Whole,
Chemical Tests, Average and
Sampling
Social Studies- Nystrom map skills
MacMillan, McGraw-Hill Student
Anthology stories:
"Opt: An Illusionary Tale"
"Fruit and Vegetable Man"
"Cactus Hotel
"Patchwork Quilt"
Math – Grade 3
Page 15
- 15 -
November 2003
Essential Question, Concept or Theme: G. Develop knowledge of algebraic functions
PA Standards: 2.8
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
G. Algebra and Functions
1. Recognize, describe, extend,
create and replicate a variety of
patterns including attribute,
activity, number, and geometric
patterns.
2. Use concrete objects and trial and
error to solve number sentences
and check if solutions are sensible
and accurate.
3. Substitute a missing addend in a
number sentence.
4. Create a story to match a given
combination of symbols and
numbers.
5. Use concrete objects and symbols
to model the concepts of
variables, expressions, equations,
and inequalities.
6. Explain the meaning of solutions
and symbols.
7. Use a table or chart to display
information.
8. Describe and interpret the data
shown in tables and charts.
9. Demonstrate simple function
rules.
10. Analyze simple functions and
relationships and locate points on
a simple grid.
These strategies and activities
apply to all units:
Math – Grade 3
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
TEXT: Scott Foresman-Addison
Wesley Math - Grade Three; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
A. Investigations Units:
Mathematical Thinking at Grade
3 (Introduction)
Landmarks in the Hundreds (The
Number System)
Up and Down the Number Line
(Changes)
Fair Shares (Fractions)
Basic Facts Review Games
Basic Facts Quizzes
Games
Home-School Connections
Newspapers, encyclopedias,
magazines, almanacs
Page 16
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.)
- 16 -
November 2003
Essential Question, Concept or Theme: G. Develop knowledge of algebraic functions
PA Standards: 2.8
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
B. Investigations Units:
Things That Come in Groups
(Multiplication and Division)
Combining and Comparing
(Addition and Subtraction)
Hands-on Equations Program
Approx. Time Allotment:
Instructional Strategies
C. Investigations Unit:
From Paces to Feet
(Measurement)
D. Investigations Units:
Flips, Turns and Area (2-D
Geometry)
Turtle Path (2-D Geometry)
Exploring Solids and Boxes (3-D
Geometry)
Math – Grade 3
Page 17
- 17 -
November 2003
Essential Question, Concept or Theme: G. Develop knowledge of algebraic functions
PA Standards: 2.8
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)
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- Solar System,
Embryology, Parts to Whole,
Chemical Tests, Average and
Sampling
Social Studies- Nystrom map skills
MacMillan, McGraw-Hill Student
Anthology stories:
"Opt: An Illusionary Tale"
"Fruit and Vegetable Man"
"Cactus Hotel
"Patchwork Quilt"
Math – Grade 3
Page 18
- 18 -
November 2003
Essential Question, Concept or Theme: H. Develop knowledge of calculus concept
PA Standards: 2.11
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
Approx. Time Allotment:
H. Calculus Concepts
1. Identify whole number quantities
and measurements from least to
most and greatest value.
2. Identify least and greatest values
represented in bar graphs and
pictographs.
3. Categorize rates of change as
faster and slower.
4. Continue a pattern of numbers or
objects that could be extended
infinitely.
These strategies and activities
apply to all units:
Math – Grade 3
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
TEXT: Scott Foresman-Addison
Wesley Math - Grade Three; Scott
Foresman-Addison Wesley,
©1998.
TEXT: Investigations in Numbers,
Data, and Space; Dale Seymour
Publications, © 1998.
A. Investigations Units:
Mathematical Thinking at Grade
3 (Introduction)
Landmarks in the Hundreds (The
Number System)
Up and Down the Number Line
(Changes)
Fair Shares (Fractions)
Basic Facts Review Games
Basic Facts Quizzes
Games
Home-School Connections
Newspapers, encyclopedias,
magazines, almanacs
Page 19
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.)
- 19 -
November 2003
Essential Question, Concept or Theme: H. Develop knowledge of calculus concept
PA Standards: 2.11
Aligned Materials/
Benchmark/Skills
Assessment
Resources/Technology
B. Investigations Units:
Things That Come in Groups
(Multiplication and Division)
Combining and Comparing
(Addition and Subtraction)
Hands-on Equations Program
Approx. Time Allotment:
Instructional Strategies
C. Investigations Unit:
From Paces to Feet
(Measurement)
D. Investigations Units:
Flips, Turns and Area (2-D
Geometry)
Turtle Path (2-D Geometry)
Exploring Solids and Boxes (3-D
Geometry)
Math – Grade 3
Page 20
- 20 -
November 2003
Essential Question, Concept or Theme: H. Develop knowledge of calculus concept
PA Standards: 2.11
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)
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- Solar System,
Embryology, Parts to Whole,
Chemical Tests, Average and
Sampling
Social Studies- Nystrom map skills
MacMillan, McGraw-Hill Student
Anthology stories:
"Opt: An Illusionary Tale"
"Fruit and Vegetable Man"
"Cactus Hotel
"Patchwork Quilt"
Math – Grade 3
Page 21
- 21 -
November 2003