Manipulative Mathematics – Using Manipulatives to Teach Elementary Algebra Concepts (Marecek & Anthony-Smith)
Welcome to StudyAllGuide — y our trusted s our ce for high -quality, well-structure d, and e xa m-focuse d study materials desig ned to help you s uccee d with confi den ce.At StudyAllGuide, we believe that studying s houl d be cl ear, organize d, and e ffective. That’s w hy every docume nt is care fully prepare d to simpli fy comple x topi cs, hig hlight key concepts, a nd pr ovide concise summaries that save you time while ma xi mizing res ults.What You Ca n Expect: ✔ Clear and easy-t o-under stand notes ✔ Well-organize d summaries Exa m-focused st udy guide s✔ Accurate and reliable conte nt✔ Ti me-savi ng revision materialsWhether you’re prepari ng for e xa ms, completing assignme nts, or reviewing di ffi cult topics, StudyAllGuide #*($@_ (_@ ( the tool s you ne ed to study smarter — not harder.!@#!&* (@ $^* (&)(@#@# @@ @@ @@ @@ @@@ @@ @@ @@ @@@ @@ @@ @@ @@ @@@ @@ @@ @@ @@@ @@ @@ @@# $_#%)(#@ @__)(%)(@ __@ (_%()(@$T% )(_ )$$#% #@$# @@ @@ @@@ @@ @@ @@ @@ @@@ @@ @@ @@ @@ @)(&($@ &(_&@_* @_$*$ @@ Our goal is si mple : Help you achieve better grades with confiden ce.T hank you for choosing StudyAllGui de. Your succes s starts here!
Manipulative Mathematics – Using Manipulatives to
Teach Elementary Algebra Concepts (Marecek &
Anthony-Smith)
4/24/2026
https://www.stuvia.com/user/studyallguide
, MANIPULATIVE MATHEMATICS FOR STUDENTS
ElementaryAlgebra2e-MMS_1
4/24/2026
,ElementaryAlgebra2e-MMS_1
Manipulative Mathematics
Using Manipulatives to Promote Understanding of Elementary Algebra
Concepts
Lynn Marecek
MaryAnne Anthony-Smith
1
This file is copyright 2017, Rice University. All Rights Reserved.
4/24/2026
, ElementaryAlgebra2e-MMS_1
Table of Contents
To the Student Page 3
Manipulative Activities Page
Game of 24 4
The Number Line Part 1-Counting Numbers and Whole Numbers 8
The Number Line Part 2-Integers 10
The Number Line Part 3-Fractions 12
Multiplication/Factors 17
Square Numbers 21
Model Fractions 24
Fractions Equivalent to One 26
Mixed Numbers and Improper Fractions 28
Equivalent Fractions 33
Model Fraction Multiplication 37
Model Fraction Division 41
Model Fraction Addition 46
Model Fraction Subtraction 50
Model Finding the Least Common Denominator 53
Addition of Signed Numbers 59
Subtraction of Signed Numbers 62
Multiples 65
Prime Numbers 68
Subtraction Property of Equality 70
Division Property of Equality 77
Visualizing Area and Perimeter 84
Measuring Area and Perimeter 87
Coin Lab 96
Exploring Slopes of Lines 99
Slope of Line Between Two Points 104
2
This file is copyright 2017, Rice University. All Rights Reserved.
4/24/2026
Welcome to StudyAllGuide — y our trusted s our ce for high -quality, well-structure d, and e xa m-focuse d study materials desig ned to help you s uccee d with confi den ce.At StudyAllGuide, we believe that studying s houl d be cl ear, organize d, and e ffective. That’s w hy every docume nt is care fully prepare d to simpli fy comple x topi cs, hig hlight key concepts, a nd pr ovide concise summaries that save you time while ma xi mizing res ults.What You Ca n Expect: ✔ Clear and easy-t o-under stand notes ✔ Well-organize d summaries Exa m-focused st udy guide s✔ Accurate and reliable conte nt✔ Ti me-savi ng revision materialsWhether you’re prepari ng for e xa ms, completing assignme nts, or reviewing di ffi cult topics, StudyAllGuide #*($@_ (_@ ( the tool s you ne ed to study smarter — not harder.!@#!&* (@ $^* (&)(@#@# @@ @@ @@ @@ @@@ @@ @@ @@ @@@ @@ @@ @@ @@ @@@ @@ @@ @@ @@@ @@ @@ @@# $_#%)(#@ @__)(%)(@ __@ (_%()(@$T% )(_ )$$#% #@$# @@ @@ @@@ @@ @@ @@ @@ @@@ @@ @@ @@ @@ @)(&($@ &(_&@_* @_$*$ @@ Our goal is si mple : Help you achieve better grades with confiden ce.T hank you for choosing StudyAllGui de. Your succes s starts here!
Manipulative Mathematics – Using Manipulatives to
Teach Elementary Algebra Concepts (Marecek &
Anthony-Smith)
4/24/2026
https://www.stuvia.com/user/studyallguide
, MANIPULATIVE MATHEMATICS FOR STUDENTS
ElementaryAlgebra2e-MMS_1
4/24/2026
,ElementaryAlgebra2e-MMS_1
Manipulative Mathematics
Using Manipulatives to Promote Understanding of Elementary Algebra
Concepts
Lynn Marecek
MaryAnne Anthony-Smith
1
This file is copyright 2017, Rice University. All Rights Reserved.
4/24/2026
, ElementaryAlgebra2e-MMS_1
Table of Contents
To the Student Page 3
Manipulative Activities Page
Game of 24 4
The Number Line Part 1-Counting Numbers and Whole Numbers 8
The Number Line Part 2-Integers 10
The Number Line Part 3-Fractions 12
Multiplication/Factors 17
Square Numbers 21
Model Fractions 24
Fractions Equivalent to One 26
Mixed Numbers and Improper Fractions 28
Equivalent Fractions 33
Model Fraction Multiplication 37
Model Fraction Division 41
Model Fraction Addition 46
Model Fraction Subtraction 50
Model Finding the Least Common Denominator 53
Addition of Signed Numbers 59
Subtraction of Signed Numbers 62
Multiples 65
Prime Numbers 68
Subtraction Property of Equality 70
Division Property of Equality 77
Visualizing Area and Perimeter 84
Measuring Area and Perimeter 87
Coin Lab 96
Exploring Slopes of Lines 99
Slope of Line Between Two Points 104
2
This file is copyright 2017, Rice University. All Rights Reserved.
4/24/2026
